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Paper Citation Record · LEDGER

Counting Martingales for Measure and Dimension in Complexity Classes

As of 20 August 2026, this Paper Citation Record lists 95 of 95 outbound references and 0 inbound Pith citation observations for arXiv:2508.07619.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.07619 v1

Coverage vector

measured 95 of 95 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:15:42.019298Z

measured 95 of 95 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

95 of 95 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3f81c50f-572c-4c07-88e4-fea8590d8df1 · outbound

This paper cites Aaronson, B.

Counting Martingales for Measure and Dimension in Complexity Classes Aaronson, B

Reference 1

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Observation 0748ea4d-ed7b-4297-b1b5-0dd6a00dc074 · outbound

This paper cites Oracles are subtle but not malicious.

Counting Martingales for Measure and Dimension in Complexity Classes Oracles are subtle but not malicious

Reference 2

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Observation bee33e2e-975e-4d54-8010-9b45782107c4 · outbound

This paper cites Allender and R.

Counting Martingales for Measure and Dimension in Complexity Classes Allender and R

Reference 3

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Observation d5a1a8f4-23de-4950-99cc-4e0ea12e9c5b · outbound

This paper cites Ambos-Spies and E.

Counting Martingales for Measure and Dimension in Complexity Classes Ambos-Spies and E

Reference 4

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Observation 71db2de9-8f1c-433a-be0e-dcfea298a06f · outbound

This paper cites Ambos-Spies, H.-C.

Counting Martingales for Measure and Dimension in Complexity Classes Ambos-Spies, H.-C

Reference 5

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Observation 58a99491-0c6c-41bd-9bbd-80fc9b9f79cf · outbound

This paper cites ������������� ����������� � ������ ��������.

Counting Martingales for Measure and Dimension in Complexity Classes ������������� ����������� � ������ ��������

Reference 6

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Observation 5b763b94-bfac-4196-89cf-97fecc5bd42b · outbound

This paper cites Grilo, Tom Gur, Igor C.

Counting Martingales for Measure and Dimension in Complexity Classes Grilo, Tom Gur, Igor C

Reference 7

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Observation 5eefd26a-8fb2-4fb2-8e9c-aa1aae177dbf · outbound

This paper cites Arvind and J.

Counting Martingales for Measure and Dimension in Complexity Classes Arvind and J

Reference 8

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Observation ffea01af-c09c-4098-94dd-6d69eb130358 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 9

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Observation 67026d96-777a-41da-bdd3-825e19261979 · outbound

This paper cites Aydinlioglu, D.

Counting Martingales for Measure and Dimension in Complexity Classes Aydinlioglu, D

Reference 10

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Observation ad0a4556-0506-4a05-854c-a9287a59cb6e · outbound

This paper cites Quantum Analog of Shannon's Lower Bound Theorem.

Counting Martingales for Measure and Dimension in Complexity Classes Quantum Analog of Shannon's Lower Bound Theorem

Reference 11

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f281f17f-2dfb-4cc3-9394-300b95b1b38e · outbound

This paper cites Berman and J.

Counting Martingales for Measure and Dimension in Complexity Classes Berman and J

Reference 12

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Observation 409036b5-c992-4f9f-a075-3d0317b3f89a · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 13

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Observation f023102a-2aad-479e-b8b9-1c832528dfc9 · outbound

This paper cites Buhrman, L.

Counting Martingales for Measure and Dimension in Complexity Classes Buhrman, L

Reference 14

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Observation ce4fc0e8-4a79-4a22-8ac5-3aed7183f377 · outbound

This paper cites Buhrman and S.

Counting Martingales for Measure and Dimension in Complexity Classes Buhrman and S

Reference 15

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Observation 54d05c43-6942-416a-91dd-3a304a988649 · outbound

This paper cites Symmetric exponential time requires near- maximum circuit size.

Counting Martingales for Measure and Dimension in Complexity Classes Symmetric exponential time requires near- maximum circuit size

Reference 16

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Observation 78d164bc-c3cf-4da5-bd15-43664fd6e1ea · outbound

This paper cites Quantum Meets the Minimum Circuit Size Problem.

Counting Martingales for Measure and Dimension in Complexity Classes Quantum Meets the Minimum Circuit Size Problem

Reference 17

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Observation 231e6217-4412-4365-a249-b6610325e9d6 · outbound

This paper cites Quantum Meets the Minimum Circuit Size Problem.

Counting Martingales for Measure and Dimension in Complexity Classes Quantum Meets the Minimum Circuit Size Problem

Reference 18

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e8eb6f27-bea9-4cbf-9c1b-d351efbeb369 · outbound

This paper cites Downey and D.

Counting Martingales for Measure and Dimension in Complexity Classes Downey and D

Reference 19

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Observation 526c819b-88c9-43b9-bc5f-89974b3e552e · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 20

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Observation 03b16f25-0199-4f2f-aba2-900988c6fbf6 · outbound

This paper cites An oracle builder’s toolkit.

Counting Martingales for Measure and Dimension in Complexity Classes An oracle builder’s toolkit

Reference 21

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Observation c234cffe-fae2-4bed-b399-7f5bcbf5a84e · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 22

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0a779239-a8dc-495d-b0ab-f64ac3f88093 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 23

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Observation 6dde872a-2ed2-41a2-9d5c-8b4d3a7cc162 · outbound

This paper cites Fortnow and J.

Counting Martingales for Measure and Dimension in Complexity Classes Fortnow and J

Reference 24

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Observation 7605c9cb-12b4-442f-9303-7885170a27d2 · outbound

This paper cites One complexity theorist’s view of quantum computing.

Counting Martingales for Measure and Dimension in Complexity Classes One complexity theorist’s view of quantum computing

Reference 25

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Observation e19cb8e0-d4b2-4ea4-be05-46f0a2510079 · outbound

This paper cites Reviewing bounds on the circuit size of the hardest functions.

Counting Martingales for Measure and Dimension in Complexity Classes Reviewing bounds on the circuit size of the hardest functions

Reference 26

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Observation 1ea71734-0cb5-4a54-9155-dd1b84dcb35d · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 27

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Observation 221d2bc6-de98-4aed-8fb8-3a346d927364 · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 28

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Observation 722d4d88-9b40-44e0-ba0c-43cd3e723718 · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Harkins and John M

Reference 29

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Observation 730c1f41-dd10-490c-8a61-579f114c1351 · outbound

This paper cites Hausdorff.

Counting Martingales for Measure and Dimension in Complexity Classes Hausdorff

Reference 30

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Observation 8b50213d-b564-4f2b-9fe9-ed66d9c5bfc9 · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 31

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Observation 8f6a37f5-4185-4ef3-9741-a4bf18ab20e6 · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 32

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Observation 43a3b8a5-e58b-4d20-92f9-c6bab8f6f2c1 · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 33

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Observation 1f9ad81e-1faa-4be1-8ff0-4d0848a9ba3c · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 34

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Observation a8388763-6f46-4561-a651-1bdf0207ec7b · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 35

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Observation 608cfa66-6006-4080-9c80-5ebedeb50a7d · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 36

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f936950b-a583-4918-91d6-4176fd665d0e · outbound

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Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 37

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 35dc27a5-ad3a-449a-9b53-0a2799b92eac · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 38

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raw_fallback, observed 2026-08-05T22:15:42.591466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.851554Z digest=sha256:46c172736fffb872103c9af6ac7b5a84d690ba83c8063d7c5dcbc82ab7124d76

Observation 097c529d-2265-43d2-8716-300721ac6cff · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.582325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.855076Z digest=sha256:ef6815545f425fb604b93c53cd1eae0027596f1501b3e8ae29b1b646bafbd4f8

Observation 858b255c-a0dd-4278-a8e0-63a21e2e43a9 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.563110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.861315Z digest=sha256:e5275ee8a38ddcf9aea694450c0ca86651cd6163d5fc449a1c4a38463a981923

Observation 64d31501-dee9-442c-af56-8eaa7f3ad001 · outbound

This paper cites Impagliazzo and A.

Counting Martingales for Measure and Dimension in Complexity Classes Impagliazzo and A

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.553604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.865258Z digest=sha256:7db4d55b17b078f317ee382e8dbe29d0e1bc0fe859d2d9df2129b1fc80b53456

Observation 1f054d09-054d-4589-a7c2-ce2bd8f64d3f · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.544419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.868153Z digest=sha256:47bf388bcf7dbb96f89c67f7efb09d445a556039215ae1c346a06b2f2d78b25a

Observation ce9c671e-391c-4db9-bdde-c33873933222 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.535445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.871229Z digest=sha256:7fdf71d6803cbe03485c1b9f9070f4b549670921bc913bbad0bc56d935b1eb27

Observation 80099b1b-0044-455b-b3f2-f1127a88f689 · outbound

This paper cites Kabanets and J.-Y.

Counting Martingales for Measure and Dimension in Complexity Classes Kabanets and J.-Y

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.525488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.874384Z digest=sha256:f5d94f7ca25f55c8bb8f254f312161ca09bada5fb1066d47e7ee1e7db0db10ad

Observation 905f3041-eb85-4e3e-95fb-884c45cd36c9 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.515384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.877256Z digest=sha256:25cc049193af8f2f03cb16f783d22c9816a3e6f5bb088f7fb218973ea54f2305

Observation ddb738e6-612f-43a4-9d69-f76d206c0ede · outbound

This paper cites K¨ obler, U.

Counting Martingales for Measure and Dimension in Complexity Classes K¨ obler, U

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.505477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.880124Z digest=sha256:ff011543d19d15cc7c50e74d88cbf3a438266c6ced42bf43cbf4d8d052343764

Observation da517da1-9ca8-479f-aca3-2a68218441e5 · outbound

This paper cites The hardest explicit construction.

Counting Martingales for Measure and Dimension in Complexity Classes The hardest explicit construction

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.495883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.882889Z digest=sha256:47b77d847ecac12518bf22561764d142ef97d06be1bd5853b839da963f5d57e5

Observation 97caa324-558f-4d1e-9be8-d7fa8f565015 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.486695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.885793Z digest=sha256:1ec6a7c3bc0e2f80c65b1038ef06a24857be669f348b582162edfe59f056c8f7

Observation d246fba4-ad3d-4426-8229-5d28a5f6cb41 · outbound

This paper cites Int´ egrale, longueur, aire.

Counting Martingales for Measure and Dimension in Complexity Classes Int´ egrale, longueur, aire

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.467268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.892485Z digest=sha256:d5f845e7b9b9379b068c53415717f3b38ce866926c5c1436fd7ee6f811fff94a

Observation 16800f5f-713f-431b-af5d-381dac84dc21 · outbound

This paper cites �� ��� �������� ���������.

Counting Martingales for Measure and Dimension in Complexity Classes �� ��� �������� ���������

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.457091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.895406Z digest=sha256:49b9270b6e131454c9bfda4285d21c6230be5697eb9212430da81a702be1d745

Observation 5a0e1e12-9b89-4a17-9550-019b3d8f68db · outbound

This paper cites Symmetric exponential time requires near-maximum circuit size: Simplified, truly uniform.

Counting Martingales for Measure and Dimension in Complexity Classes Symmetric exponential time requires near-maximum circuit size: Simplified, truly uniform

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.447835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.898406Z digest=sha256:209258d8a88bfe4f01ed2a2fff6437c27da7ed443f89b7678ac81263f82c43cd

Observation da2ad022-2b3b-4d84-924c-ab0d80df5454 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.437840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.901605Z digest=sha256:edf19ae81d40813d9d6274ffa30948594fe5bc270e4a855c2c9841297582ee86

Observation 3ff6709d-f0bd-4de6-8dc5-0a5c1254a206 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.428080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.904499Z digest=sha256:3ff60d0ca02fdff0652b529f92d1a231efaab1439e34be6e3fde8b1500d7b2a4

Observation 950b450d-459e-4859-8400-96b772bb4309 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.418481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.907624Z digest=sha256:1403540f716d7623ced0431f0952a0cc15ec16212dd635ebaae84a056195728b

Observation 90389797-f214-49c2-8d9d-f06fbc035c50 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.407790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.910835Z digest=sha256:b3ba4fd7db6cc85a3f9a484a47d3d06dca4739d93647c14b9e423ea01f2ca149

Observation c6e00c1d-54ea-4e29-8001-37fe379028f6 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.398342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.913825Z digest=sha256:f37ce7ffc74841b73ebe37a2d4fbab94275d28819a481cc3ebeef060fcb4c248

Observation f1ea95a7-8c1c-44c0-a559-79093d922dab · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.388511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.917545Z digest=sha256:c164960f15f917b54cc694b82143b5e0415407c37496db01960deeb381ae1e9b

Observation 7ec9a793-1c42-493c-aac7-1d24475d3d9b · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.369485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.923896Z digest=sha256:f0da4c109736ea426baaff6d25d0b9fa1b9d11c8cafcfa2f65f650d8e973b7c2

Observation e0515aac-7189-485f-9896-af7885c26d3b · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.360245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.926872Z digest=sha256:2091bec5b3df582d43584810493e1c891c0c98a6cce076cab6f01681b5e139d1

Observation bb082fa4-09a9-48d1-bff6-48ff99815bec · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.350658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.929800Z digest=sha256:b34191421ff3b4f49af46b278f1f8546ddda367f4c82726e1ddc54ae757f6821

Observation 62c1c6ed-391a-4467-bb9a-77986d630168 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.341295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.932997Z digest=sha256:1765f1e8a81a5d62229777e08632a5020bff2f9df5a95a2338d27aa5a20fd856

Observation 3139ec89-f0ae-48f0-b989-21944f2c94d1 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.331790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.935796Z digest=sha256:4eadb6639b788c82aee1bc2c3a1cac4010699d98519006fb70889ebe9e660f6c

Observation 4283cc9e-2b6c-4bdb-b005-60738baf1bc3 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.322331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.938977Z digest=sha256:b412dfff0a7899c1a59fe4efe0bafd0bc2e17e290d4e20df5de54001f6852dd4

Observation 87458f9f-1204-477e-8f9f-478fc1ba576d · outbound

This paper cites Mayordomo.

Counting Martingales for Measure and Dimension in Complexity Classes Mayordomo

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.313391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.942218Z digest=sha256:746d66aba609306610b6ce8c6801229e734a3a784500c9ff1d312282059f68b3

Observation a19141e5-a3f2-4832-8e0e-2e7c6f06fb62 · outbound

This paper cites Mayordomo.

Counting Martingales for Measure and Dimension in Complexity Classes Mayordomo

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.304268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.945426Z digest=sha256:59bb3571add7624a294d82bc6e8702c85c1738b3b34655f505e33920c55266e1

Observation 46785a76-144e-4d0c-986b-603120e350df · outbound

This paper cites Mayordomo.

Counting Martingales for Measure and Dimension in Complexity Classes Mayordomo

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.294141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.948968Z digest=sha256:70e22e47c25ddd0e98994e46ff1b601cc28d5c50815be154e1fe789ad1d5aec3

Observation 7e82f392-dc13-46a4-ada0-c528dc7ae355 · outbound

This paper cites Mayordomo.

Counting Martingales for Measure and Dimension in Complexity Classes Mayordomo

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.283889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.951913Z digest=sha256:a6ea426e348ce77417dd94d69323b7a2e5bb7cea6c126cc8dbae5fee52d33924

Observation 8cf8c342-d24e-4d23-baf4-5bf6eb777363 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.273693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.954819Z digest=sha256:3c80ea11cb57511f2b84659bc0a4e4d77c6aa9f5ddc3eb3e61498145a1f8783f

Observation c4f184bd-6be8-4953-8e8d-930528f0beb4 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.264113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.957640Z digest=sha256:c50410a47a03bfe0c223eea4b1b6eaa251c731fabd4f3a6ac26eef9ce02f4725

Observation 45bbda42-8578-411c-88af-7a1e480051c1 · outbound

This paper cites Murray and R.

Counting Martingales for Measure and Dimension in Complexity Classes Murray and R

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.254991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.960523Z digest=sha256:126896a14244b731ba05ef9381f659c109e6024b3c780c36636556139856fd7e

Observation 369fee55-7427-4131-b1a9-a0b2af1dec6e · outbound

This paper cites One-Way Functions and Polynomial Time Dimension.

Counting Martingales for Measure and Dimension in Complexity Classes One-Way Functions and Polynomial Time Dimension

Reference 71

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:15:42.052709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.963697Z digest=sha256:2210690d47479c75881c8c5a54407cb92da6d2a935ebefbc4bdbae01bf68e18e

Observation a73cf1d5-91b9-4380-ad35-97b92421ee57 · outbound

This paper cites Ogiwara and O.

Counting Martingales for Measure and Dimension in Complexity Classes Ogiwara and O

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.246043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.967535Z digest=sha256:a6d296bac39a9a836c1093db9e81c99531149dc6caf352311368a91b00eea67c

Observation b8ee1366-7b16-47ad-b427-61f23841994e · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.235696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.970397Z digest=sha256:17715197550d198433b40405348dac152175f641d84a2034b643781d4dc9811d

Observation 243ea285-fc62-4e16-bc81-60e0cc6e0d2b · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.226493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.973691Z digest=sha256:ab58654dc4bf3db8b85a961f65c9f1899f06b3be1e63db3d6b32c6b48ec9810c

Observation 439b86f0-24cc-42c2-a1d2-e490fb466974 · outbound

This paper cites The power of counting.

Counting Martingales for Measure and Dimension in Complexity Classes The power of counting

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.216942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.976755Z digest=sha256:dca8a1d86f40be64e2f6e8a5f34313460309b81ab2af8f80481e855404de95dc

Observation b25476e5-0a1d-44af-8af0-d1c8042cf1d8 · outbound

This paper cites Shaltiel and C.

Counting Martingales for Measure and Dimension in Complexity Classes Shaltiel and C

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.207427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.979558Z digest=sha256:db17879e3cfaf378d7046e00e55b40ff420d70b26d88e258197b6fc13b68f6d0

Observation cea0d566-9fb6-4a6e-9df2-2054dc54e7a1 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 77

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.197844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.983273Z digest=sha256:273519ec1d39978dd1e11ee3ed53092ea42cee520f59946fb980ea5b699d9a8c

Observation d7dab56a-9d76-4ed8-9abf-966eb4751945 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 78

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.187232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.986518Z digest=sha256:30d2d42964fe6b520113c847061e0e518267641ec5779503afcd80c85c66f56b

Observation 1180b22b-3b5a-4969-adae-d9cd21f32edd · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 79

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.177118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.989602Z digest=sha256:02d43b4d3d4e8a644608108b00c0d7c3c49fe3ecf57ed4bd9b3e9730f3029fc5

Observation 1a2ad158-0fa8-4df5-b49b-442fd506da80 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 80

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.167597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2479d0a2-d49b-4aac-a026-cfe5d9de2372 · outbound

This paper cites PP is as hard as the polynomial-time hierarchy.

Counting Martingales for Measure and Dimension in Complexity Classes PP is as hard as the polynomial-time hierarchy

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.150044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.998835Z digest=sha256:6d5060f64ea04bcaca1e42f00090bf20b58bf645af9468ace44c6008d3b03530

Observation 0f4825ba-b5bf-402a-ab74-b04c5a2207b2 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 82

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.140836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:42.002237Z digest=sha256:3ca703b3bf630ec84f0dbdc1080481d50369fa00811e01c08874cdc3c381de6b

Observation 11185003-82ca-4e46-a420-5caff80d15bf · outbound

This paper cites The complexity of computing the permanent.

Counting Martingales for Measure and Dimension in Complexity Classes The complexity of computing the permanent

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.131414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:42.005143Z digest=sha256:61a3b7495a69d927bc7212abc95bcfb39e47205f54062869f1dbb15808525a0a

Observation e395534e-b849-4a40-9fdb-c84c17de1032 · outbound

This paper cites van Melkebeek.

Counting Martingales for Measure and Dimension in Complexity Classes van Melkebeek

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.122223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:42.008012Z digest=sha256:1d6faf7da0c2713302115a2ad24c4c1742eb85824fd7d4b15e5cd9304e8a3be1

Observation 0b4f92ff-04f0-4139-abe8-a6814bc98312 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 85

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.113173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:42.010938Z digest=sha256:853c411d7bfa348b73b67e77242186dab33886d5643d1c86ba0070fa8812c15f

Observation ba4a3217-d2ed-413f-b26b-60f66d70f3e7 · outbound

This paper cites Watanabe.

Counting Martingales for Measure and Dimension in Complexity Classes Watanabe

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.103867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:42.013770Z digest=sha256:3b9b3908a7564010d25aae22bc69be3cbda55e6a911a822d4927db1ed7a21bfd

Observation b8345149-b492-42dd-b657-b058d18e76ce · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 87

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.085163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:42.019298Z digest=sha256:0af767b5278a20b5084a0fc8e0a53bd7dee1b1f5e53b066e4336ee8ebc1f203d

Observation 29d911a9-2cfa-4feb-91d1-e5221714b94b · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 1970

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.476932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.889035Z digest=sha256:fec55cc31873be3db31e8a9c8feeef7d5a2158ed0e323dc9309dde11caa796c6

Observation 8c95592e-4700-4d01-bc67-bf44d1c2469f · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 1974

Resolution
unresolved
no resolver link, observed 2026-08-05T22:15:41.767635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:15:41.767635Z digest=sha256:24ff5fe3e467c6b374b25ea052e368fceaabe05495164153d6a57a335d934801

Observation ebe7c037-56a2-496b-81c8-84d751d03e65 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 1987

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.093836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:42.016680Z digest=sha256:15348a4dabc3fd4816bf257b1b8d8b16b864c2951dc776b9ab0f4648dafd1664

Observation 6d862dfb-4866-49f4-af8c-57a2d7fd3d0f · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 1988

Resolution
parse uncertain
no resolver link, observed 2026-08-05T22:15:41.729335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:15:41.729335Z digest=sha256:d81d1a88467069cd6221edfdb6b3645598896f227af5804dfd3db1d92713a88d

Observation a3cd1cc3-1cba-439c-999a-425f4d44002c · outbound

This paper cites 3, 4, 5, 8, 9, 12, 13, 15, 34, 35, 38.

Counting Martingales for Measure and Dimension in Complexity Classes 3, 4, 5, 8, 9, 12, 13, 15, 34, 35, 38

Reference 2003

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:15:42.378724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.920894Z digest=sha256:f1cff7cd74017a6b24929bc4a7d7a79d7861150d4bae46dd7c3e2b14b694e8e0

Observation dd9f7073-889d-4fb1-8a1c-570faed622e9 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 2010

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.764645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.789556Z digest=sha256:2be06d20a10a23032393ac30a2eec2a5063c738eb6ca9966877e8ba8157dc041

Observation 026f9592-5575-4df6-bcba-a297fec6b727 · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 2015

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.572491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.857937Z digest=sha256:69056fcdc2c8f685d222e730447d27e508f8a64db4bb92db8538d2ffc55d1286

Observation ef995ce0-cc58-45d6-af1b-941c1cd95e1c · outbound

This paper cites an unresolved cited work.

Counting Martingales for Measure and Dimension in Complexity Classes Unresolved cited work

Reference 2020

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:15:42.158896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:15:41.996133Z digest=sha256:f5ef3e89f482a9afd6757a116fa37cfa2eb0699b33348606c0300ab56dbf149e

Pith citing papers

No inbound Pith citation observations are available.