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Recently, I learned how to read some of codes that appear on specific pages in zbMATH Open, formerly known as Zentralblatt MATH. example book review

For example, in the above review, the circled code "Zbl 1218.47001" signifies that the review belongs to Volume 1218 of Zentralblatt MATH, that the book under review primarily falls under Subject 47 (Operator theory) in the Mathematics Subject Classification, and that the review is the first (#001) review in this Volume under this Subject. (Source: EMIS page, the entry for "accession number".)

For bibliographic purposes, I'd like to know: How does the Zentralblatt MATH volume numbering work? In particular, how can we find the publication year of the review, given the Zentralblatt MATH volume number? For example, Zentralblatt MATH volume number 980 was published in the year 2002. (Sources: 1, 2.)

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2 Answers 2

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Thank you for asking! As mentioned, the structure of the ID is Zbl xxxx.yyyyy, but it has changed its semantic once after the introduction of the MSC.

The first number indicates the volume (starting with Vol. 1 in 1931), the second is connected to the MSC since its introduction in Vol. 218. Since then, the structure is in fact xxxx.yyzzz - yy indicating the main MSC, zzz indicating the numbering in this section.

For Volume 1-217, the semantics is actually xxxx.yyyzz - yyy the page number of the volume, zz the number of the review on that page.

Concerning the publication years, the issue is somewhat complicated. Since Vol. 1050 (vol. 1/2005), there are 25 annual volumes. Before that, there were mostly 24 annual volumes and additional index volumes (which contained just meta-information, no entries/reviews).

Therefore, the index volumes in the database (which has obviously its own index) are missing, e.g., vol. 1000 (which was the last index volume). The frequency of the index volumes was first every ten volumes, then 25.

For some old volumes (especially post-war, where some gap volumes collected publications which were missed earlier), the situation is even not completely clear, since there is some conflicting information in the printed volumes (this is the main reason why these figures are not yet displayed in the database). Especially, Vol. 59-63 appeared out of the regular schedule with several issues from 1965-1978(!).

I add the following table for orientation (note that some information is unclear, since some printed volumes contain conflicting information, especially for the "gap volumes"). Due to limitations (full table is too large), the table ends with vol. 723 (1991); after that, it is pretty straightforward, 724-749 (1992), and then 25 vol/year, with index volumes 730, 740, 750, 775, 800, 825, 850, 875, 900, 925, 950, 975, and 1000.

Vol Year Issue Remark
1 1931 1
1 1931 2
1 1931 3
1 1931 4
1 1931 5
1 1931 6
1 1931 7
1 1931 8 Index issue
2 1932 1
2 1932 2
2 1932 3
2 1932 4
2 1932 5
2 1932 6
2 1932 7
2 1932 8 Index issue
3 1932 1
3 1932 2
3 1932 3
3 1932 4
3 1932 5
3 1932 6
3 1932 7
3 1932 8
3 1932 9
3 1932 10 Index issue
4 1932 1
4 1932 2
4 1932 3
4 1932 4
4 1932 5
4 1932 6
4 1932 7
4 1932 8
4 1932 9
4 1932 10 Index issue
5 1933 1
5 1933 2
5 1933 3
5 1933 4
5 1933 5
5 1933 6
5 1933 7
5 1933 8
5 1933 9
5 1933 10 Index issue
6 1933 1
6 1933 2
6 1933 3
6 1933 4
6 1933 5
6 1933 6
6 1933 7
6 1933 8
6 1933 9
6 1933 10 Index issue
7 1934 1
7 1934 2
7 1934 3
7 1934 4
7 1934 5
7 1934 6
7 1934 7
7 1934 8
7 1934 9
7 1934 10 Index issue
8 1934 1
8 1934 2
8 1934 3
8 1934 4
8 1934 5
8 1934 6
8 1934 7
8 1934 8
8 1934 9
8 1934 10 Index issue
9 1934 1
9 1934 2
9 1934 3
9 1934 4
9 1934 5
9 1934 6
9 1934 7
9 1934 8
9 1934 9
9 1934 10 Index issue
10 1935 1
10 1935 2
10 1935 3
10 1935 4
10 1935 5
10 1935 6
10 1935 7
10 1935 8
10 1935 9
10 1935 10 Index issue
11 1935 1
11 1935 2
11 1935 3
11 1935 4
11 1935 5
11 1935 6
11 1935 7
11 1935 8
11 1935 9
11 1935 10 Index issue
12 1936 1
12 1936 2
12 1936 3
12 1936 4
12 1936 5
12 1936 6
12 1936 7
12 1936 8
12 1936 9
12 1936 10 Index issue
13 1936 1
13 1936 2
13 1936 3
13 1936 4
13 1936 5
13 1936 6
13 1936 7
13 1936 8
13 1936 9
13 1936 10 Index issue
14 1936 1
14 1936 2
14 1936 3
14 1936 4
14 1936 5
14 1936 6
14 1936 7
14 1936 8
14 1936 9
14 1936 10 Index issue
15 1937 1
15 1937 2
15 1937 3
15 1937 4
15 1937 5
15 1937 6
15 1937 7
15 1937 8
15 1937 9
15 1937 10 Index issue
16 1937 1
16 1937 2
16 1937 3
16 1937 4
16 1937 5
16 1937 6
16 1937 7
16 1937 8
16 1937 9
16 1937 10 Index issue
17 1937 1
17 1937 2
17 1937 3
17 1938 4
17 1938 5
17 1938 6
17 1938 7
17 1938 8
17 1938 9
17 1938 10 Index issue
18 1938 1
18 1938 2
18 1938 3
18 1938 4
18 1938 5
18 1938 6
18 1938 7
18 1938 8
18 1938 9
18 1938 10 Index issue
19 1938 1
19 1938 2
19 1938 3
19 1938 4
19 1939 5
19 1939 6
19 1939 7
19 1939 8
19 1939 9
19 1939 10 Index issue
20 1939 1
20 1939 2
20 1939 3
20 1939 4
20 1939 5
20 1939 6
20 1939 7
20 1939 8
20 1939 9
20 1939 10 Index issue
21 1939 1
21 1939 2
21 1939 3
21 1939 4
21 1939 5
21 1939 6
21 1939 7
21 1940 8
21 1940 9
21 1940 10 Index issue
22 1940 1
22 1940 2
22 1940 3
22 1940 4
22 1940 5
22 1940 6
22 1940 7
22 1940 8
22 1940 9
22 1940 10 Index issue
23 1940 1
23 1940 2
23 1940 3
23 1940 4
23 1940 5
23 1940 6
23 1941 7
23 1941 8
23 1941 9
23 1941 10 Index issue
24 1941 1
24 1941 2
24 1941 3
24 1941 4
24 1941 5
24 1941 6
24 1941 7
24 1941 8
24 1941 9
24 1941 10 Index issue
25 1941 1
25 1941 2
25 1941 3
25 1941 4
25 1941 5
25 1942 6
25 1942 7
25 1942 8
25 1942 9
25 1942 10 Index issue
26 1942 1
26 1942 2
26 1942 3
26 1942 4
26 1942 5
26 1942 6
26 1942 7
26 1942 8
26 1942 9
26 1943 10 Index issue
27 1943 1
27 1943 2
27 1943 3
27 1943 4
27 1943 5
27 1943 6
27 1943 7
27 1943 8
27 1943 9
27 1943 10 Index issue
28 1943 1
28 1943 2
28 1943 3
28 1944 4
28 1944 5
28 1944 6
28 1944 7
28 1944 8
28 1944 9
28 1944 10 Index issue
29 1948 1 – 2
29 1948 3 – 4
29 1948 5
29 1948 6
29 1948 7
29 1948 8
29 1948 9
29 1948 10 Index issue
30 1949 1
30 1949 2
30 1949 3
30 1949 4
30 1949 5
30 1949 6
30 1949 7
30 1949 8
30 1949 9
30 1949 10 Index issue
31 1949 1
31 1949 2
31 1949 3
31 1949 4
31 1949 5
31 1949 6
31 1949 7
31 1949 8
31 1949 9
31 1949 10 Index issue
32 1949 1
32 1949 2
32 1950 3
32 1950 4
32 1950 5
32 1950 6
32 1950 7
32 1950 8
32 1950 9
32 1949 10 Index issue, year likely misprint?
33 1950 1
33 1950 2
33 1950 3
33 1950 4 – 5
33 1950 6 – 7
33 1950 8 – 9
33 1950 10 Index issue
34 1950 1 – 3
34 1950 4 – 6
34 1950 7 – 9
34 1950 10 Index issue
35 1950 1 – 3
35 1950 4 – 6
35 1950 7 – 9
35 1950 10 Index issue
36 1951 1 – 3
36 1951 4 – 6
36 1951 7 – 9
36 1951 10 Index issue
37 1951 1 – 3
37 1951 4 – 6
37 1951 7 – 9 Index issue
37 1951 10
38 1951 1 – 3
38 1951 4 – 9
38 1951 10 Index issue
39 1951 1 – 5
39 1951 6 – 9
39 1951 10
40 1951 1 – 3
40 1951 4 – 6
40 1951 7 – 9
40 1951 10
41 1952 1 – 3
41 1952 4 – 7
41 1953 8 – 12
41 1952 13
42 1952 1 – 5
42 1952 6 – 10
43 1952 1 – 5
43 1952 6 – 10
44 1952 1 – 5
44 1952 6 – 10
45 1955 1 – 3 year likely misprint?
45 1953 4 – 6
45 1955 7 – 10
46 1953 1 – 5
46 1953 6 – 10
47 1953 1 – 5
47 1953 6 – 10
48 1953 1 – 5
48 1953 6 – 10
49 1954 1 – 3
49 1955 4 – 6
49 1959 7 year likely misprint?
50 1954 1 – 5
50 1954 6 – 10
51 1954 1 – 5
51 1954 6 – 10
52 1955 1 – 5
52 1955 6 – 10
53 1956/1961 1 – 4 Conflicting information in Print
53 1957 5
53 1961 6
54 1951-1961
55 1955 1 – 5
55 1955 6 – 10
56 1955 1 – 5
56 1955 6 – 10
57 1956 1 – 5
57 1956 6
58 1958 1
58 1958 2
59 1965-1966 GAP volume
60 1957 GAP volume
61 1961 GAP volume
62 1974 GAP volume
63 1976-1978 GAP volume
64 1956 1 – 5
64 1956 6 – 10
65 1956 1
65 1956 2
66 1957 1
66 1957 2
67 1958 1
67 1958 2
68 1961 1
68 1961 2
69 1957-1964 GAP volume
70 1957 1
70 1957 2
71 1958 1
71 1958 2
72 1958 1
72 1958 2
73 1959 1
73 1960 2
74 1960 1
74 1962 2
75 1968/71 1
75 1971/73 2
76
77 1958 1
77 1958 2
78 1959 1
78 1959 2
79 1959 1
79 1959 2
80 1959 1
80 1959 2
81 1959 1
81 1959 2
82 1960 1
82 1960 2
83 1960 1
83 1960 2
84 1960 1
84 1960 2
85 1961 1
85 1961 2
86 1961 1
86 1961 2
87 1961 1
87 1961 2
88 1961 1
88 1961 2
89 1961 1
89 1961 2
90 1961 1
90 1961 2
91 1962 1
91 1962 2
92 1962 1
92 1962 2
93 1962 1
93 1962 2
94 1962 1
94 1962 2
95 1962 1
95 1962 2
96 1962 1
96 1962 2
97 1962 1
97 1962 2
98 1963 1
98 1963 2
99 1963 1
99 1963 2
100 1963 1
100 1963 2
101 1963 1
101 1963 2
102 1963 1
102 1963 2
103 1964 1
103 1964 2
104 1964 1
104 1964 2
105 1964 1
105 1964 2
106 1964 1
106 1964 2
107 1964 1
107 1964 2
108 1964 1
108 1964 2
109 1964 1
109 1965 2
110 1965 Index volume
111 1964 1
111 1965 2
112 1965 1
112 1965 2
113 1965 1
113 1965 2
114 1965 1
114 1965 2
115 1965 1
115 1965 2
116 1965 1
116 1965 2
117 1965 1
117 1965 2
118 1965 1
118 1966 2
119 1966 1
119 1966 2
120 1966 Index volume
121 1966 1
121 1966 2
122 1966 1
122 1966 2
123 1966 1
123 1966 2
124 1966 1
124 1966 2
125 1966 1
125 1966 2
126 1966 1
126 1967 2
127 1967 1
127 1967 2
128 1967 1
128 1967 2
129 1967 1
129 1967 2
130 1967 Index volume
131 1967 1
131 1967 2
132 1967 1
132 1967 2
133 1967 1
133 1967 2
134 1967 1
134 1967 2
135 1967 1
135 1967 2
136 1967 1
136 1967 2
137 1967 1
137 1967 2
138 1967 1
138 1967 2
139 1968 1
139 1968 2
140 1968 Index volume
141 1968 1
141 1968 2
142 1968 1
142 1968 2
143 1968 1
143 1968 2
144 1968 1
144 1968 2
145 1968 1
145 1968 2
146 1968 1
146 1968 2
147 1968 1
147 1968 2
148 1968 1
148 1968 2
149 1968 1
149 1968 2
150 1968 Index volume
151 1968
152 1968 1
152 1968 2
153 1968 1
153 1968 2
154 1968 1
154 1968 2
155 1968 1
155 1968 2
156 1969 1
156 1969 2
157 1969 1
157 1969 2
158 1969 1
158 1969 2
159 1969 1
159 1969 2
160 1969 Index volume
161 1969 1
161 1969 2
162 1969 1
162 1969 2
163 1969 1
163 1969 2
164 1969 1
164 1969 2
165 1969 1
165 1969 2
166 1969 1
166 1969 2
167 1969 1
167 1969 2
168 1969 1
168 1969 2
169 1969 1
169 1969 2
170 1969 Index volume
171 1969 1
171 1969 2
172 1969 1
172 1969 2
173 1969 1
173 1969 2
174 1969 1
174 1969 2
175 1969 1
175 1969 2
176 1969 1
176 1969 2
177 1970 1
177 1970 2
178 1970 1
178 1970 2
179 1970 1
179 1970 2
180 1970 Index volume
181 1970 1
181 1970 2
182 1970 1
182 1970 2
183 1970 1
183 1970 2
184 1970 1
184 1970 2
185 1970 1
185 1970 2
186 1970 1
186 1970 2
187 1970 1
187 1970 2
188 1970 1
188 1970 2
189 1970 1
189 1970 2
190 1970 Index volume
191 1970 1
191 1970 2
192 1970 1
192 1970 2
193 1970 1
193 1970 2
194 1970 1
194 1970 2
195 1970 1
195 1970 2
196 1970 1
196 1970 2
197 1971 1
197 1971 2
198 1971 1
198 1971 2
199 1971 1
199 1971 2
200 1971 Index volume
201 1971 1
201 1971 2
202 1971 1
202 1971 2
203 1971 1
203 1971 2
204 1971 1
204 1971 2
205 1971 1
205 1971 2
206 1971 1
206 1971 2
207 1971 1
207 1971 2
208 1971 1
208 1971 2
209 1971 1
209 1971 2
210 1971 Index volume
211 1971 1
211 1971 2
212 1971 1
212 1971 2
213 1971 1
213 1971 2
214 1971 1
214 1971 2
215 1971 1
215 1971 2
216 1971 1
216 1971 2
217 1972 1
217 1972 2
218 1972
219 1972
220 1972 Index volume
221 1972
222 1972
223 1972
224 1972
225 1972
226 1972
227 1972
228 1972
229 1972
230 1972 Index volume
231 1972
232 1972
233 1972
234 1972
235 1972
236 1972
237 1972
238 1972
239 1973
240 1973 Index volume
241 1973
242 1973
243 1973
244 1973
245 1973
246 1973
247 1973
248 1973
249 1973
250 1973 Index volume
251 1973
252 1973
253 1973
254 1973
255 1973
256 1973
257 1973
258 1974
259 1974
260 1974 Index volume
261 1974
262 1974
263 1974
264 1974
265 1974
266 1974
267 1974
268 1974
269 1974
270 1974 Index volume
271 1974
272 1974
273 1974
274 1974
275 1974
276 1974
277 1974
278 1974
279 1974
280 1974 Index volume
281 1975
282 1975
283 1975
284 1975
285 1975
286 1975
287 1975
288 1975
289 1975
290 1975 Index volume
291 1975
292 1975
293 1975
294 1975
295 1975
296 1975
297 1975
298 1975
299 1975
300 1975 Index volume
301 1975
302 1975
303 1076
304 1976
305 1976
306 1976
307 1976
308 1976
309 1976
310 1976 Index volume
311 1976
312 1976
313 1976
314 1976
315 1976
316 1976
317 1976
318 1976
319 1976
320 1976 Index volume
321 1976
322 1976
323 1976
324 1976
325 1977
326 1977
327 1977
328 1977
329 1977
330 1977 Index volume
331 1977
332 1977
333 1977
334 1977
335 1977
336 1977
337 1977
338 1977
339 1977
340 1977 Index volume
341 1977
342 1977
343 1977
344 1977
345 1977
346 1977
347 1977
348 1977
349 1977
350 1977 Index volume
351 1978
352 1978
353 1978
354 1978
355 1978
356 1978
357 1978
358 1978
359 1978
360 1978 Index volume
361 1978
362 1978
363 1978
364 1978
365 1978
366 1978
367 1978
368 1978
369 1978
370 1978 Index volume
371 1978
372 1978
373 1978
374 1978
375 1978
376 1978
377 1979
378 1979
379 1979
380 1979 Index volume
381 1979
382 1979
383 1979
384 1979
385 1979
386 1979
387 1979
388 1979
389 1979
390 1979 Index volume
391 1979
392 1979
393 1979
394 1979
395 1979
396 1979
397 1979
398 1979
399 1979
400 1979 Index volume
401 1979
402 1979
403 1979
404 1980
405 1980
406 1980
407 1980
408 1980
409 1980
410 1980 Index volume
411 1980
412 1980
413 1980
414 1980
415 1980
416 1980
417 1980
418 1980
419 1980
420 1980 Index volume
421 1980
422 1980
423 1980
424 1980
425 1980
426 1980
427 1980
428 1980
429 1980
430 1981 Index volume
431 1981
432 1981
433 1981
434 1981
435 1981
436 1981
437 1981
438 1981
439 1981
440 1981 Index volume
441 1981
442 1981
443 1981
444 1981
445 1981
446 1981
447 1981
448 1981
449 1981
450 1981 Index volume
451 1981
452 1981
453 1981
454 1981
455 1981
456 1982
457 1982
458 1982
459 1982
460 1982 Index volume
461 1982
462 1982
463 1982
464 1982
465 1982
466 1982
467 1982
468 1982
469 1982
470 1982 Index volume
471 1982
472 1982
473 1982
474 1982
475 1982
476 1982
477 1982
478 1982
479 1982
480 1982 Index volume
481 1982
482 1982
483 1982
484 1983
485 1983
486 1983
487 1983
488 1983
489 1983
490 1983 Index volume
491 1983
492 1983
493 1983
494 1983
495 1983
496 1983
497 1983
498 1983
499 1983
500 1983 Index volume
501 1983
502 1983
503 1983
504 1983
505 1983
506 1983
507 1983
508 1983
509 1983
510 1983 Index volume
511 1984
512 1984
513 1984
514 1984
515 1984
516 1984
517 1984
518 1984
519 1984
520 1984 Index volume
521 1984
522 1984
523 1984
524 1984
525 1984
526 1984
527 1984
528 1984
529 1984
530 1984 Index volume
531 1984
532 1984
533 1984
534 1984
535 1984
536 1984
537 1985
538 1985
539 1985
540 1985 Index volume
541 1985
542 1985
543 1985
544 1985
545 1985
546 1985
547 1985
548 1985
549 1985
550 1985 Index volume
551 1985
552 1985
553 1985
554 1985
555 1985
556 1985
557 1985
558 1985
559 1985
560 1985 Index volume
561 1985
562 1985
563 1985
564 1986
565 1986
566 1986
567 1986
568 1986
569 1986
570 1986 Index volume
571 1986
572 1986
573 1986
574 1986
575 1986
576 1986
577 1986
578 1986
579 1986
580 1986 Index volume
581 1986
582 1986
583 1986
584 1986
585 1986
586 1986
587 1986
588 1986
589 1986
590 1986 Index volume
591 1987
592 1987
593 1987
594 1987
595 1987
596 1987
597 1987
598 1987
599 1987
600 1987 Index volume
601 1987
602 1987
603 1987
604 1987
605 1987
606 1987
607 1987
608 1987
609 1987
610 1987 Index volume
611 1987
612 1987
613 1987
614 1987
615 1987
616 1987
617 1988
618 1988
619 1988
620 1988 Index volume
621 1988
622 1988
623 1988
624 1988
625 1988
626 1988
627 1988
628 1988
629 1988
630 1988 Index volume
631 1988
632 1988
633 1988
634 1988
635 1988
636 1988
637 1988
638 1988
639 1988
640 1988 Index volume
641 1988
642 1988
643 1988
644 1989
645 1989
646 1989
647 1989
648 1989
649 1989
650 1989 Index volume
651 1989
652 1989
653 1989
654 1989
655 1989
656 1989
657 1989
658 1989
659 1989
660 1989 Index volume
661 1989
662 1989
663 1989
664 1989
665 1989
666 1989
667 1989
668 1989
669 1989
670 1989 Index volume
671 1990
672 1990
673 1990
674 1990
675 1990
676 1990
677 1990
678 1990
679 1990
680 1990 Index volume
681 1990
682 1990
683 1990
684 1990
685 1990
686 1990
687 1990
688 1990
689 1990
690 1990 Index volume
691 1990
692 1990
693 1990
694 1990
695 1990
696 1990
697 1991
698 1991
699 1991
700 1991 Index volume
701 1991
702 1991
703 1991
704 1991
705 1991
706 1991
707 1991
708 1991
709 1991
710 1991 Index volume
711 1991
712 1991
713 1991
714 1991
715 1991
716 1991
717 1991
718 1991
719 1991
720 1991 Index volume
721 1991
722 1991
723 1991
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    $\begingroup$ The very large table here takes up a huge amount of space on this page. I wonder if it can be compressed or hidden in some way. $\endgroup$ Jan 19 at 17:24
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The numbering is sequential in the order in which a review is entered, so not strictly tied to a particular year of publication. For example, volume 1430 has mainly papers published in 2019 and 2020, but it also includes papers from 2016,2017, and 2018.
Here is a rough guide of the correspondence between volume number and publication date range:

  • 2020- (vols 1431- )
  • 2015-2020 (vols. 1301-1430)
  • 2010-2015 (vols. 1191-1300)
  • 2005-2010 (vols. 1051-1190
  • 1999-2005 (vols. 913-1050)
  • 1995-1999 (vols. 826-912)
  • 1990-1995 (vols. 701-824)
  • 1985-1989 (vols. 551-699)
  • 1970-1984 (vols. 201-549)
  • 1931-1969 (vols. 1-199)
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