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Paper Citation Record · LEDGER

Counting Martingales for Measure and Dimension in Complexity Classes

As of 9 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 2026-08-08T06:32:00.761636+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

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

95 of 95 outbound references displayed

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  • unresolved62
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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 2026-08-08T06:32:00.761636+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

Resolution
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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 2026-08-08T06:32:00.761636+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

This paper cites an unresolved cited work.

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

Reference 20

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+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

This paper cites Harkins and John M.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.851554Z digest=sha256:452655c515e3e1cc1ce70cbd7758f168e0722bd8f65312666f45042f1811b2f3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.855076Z digest=sha256:1ab760905d6a96dcd3b6ecbcc7937efbf0b121d0e0ea828d89926fa88065de0b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.861315Z digest=sha256:ff68e32af88e6ae4d7825d84b48730f4dca6799747b9dd24fba06e44675133d4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.865258Z digest=sha256:d43fb7d81cedce856e587a4af3c2d8de1ef57cf28186e09caed0cce6d7d4c91e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.868153Z digest=sha256:3f3dfd75069da4f5a076f09773db9ca88c8a3999be05bb939e3a7cb92c2ff2d1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.871229Z digest=sha256:d9f9dc52c9f919926b0365a566322b920c97498a7dcd0674572f483d4f727e4f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.874384Z digest=sha256:5098218a5136a2b751eb42f44bdeb69fdfbd800ac0a5bc9a57f9ffdf328ce5c6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.877256Z digest=sha256:d5b1340500f4957cf31eba204071e4eded3bd1e7fa6b5b6593597b61a6b2d047

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.880124Z digest=sha256:731f96c98c02f623da83ce84be2d5bee0516b17da8cfb5c2a21cbe57844e0588

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.882889Z digest=sha256:ba7919c8feec524511bf671122ea1b2d6bfa755a9df9abde0c392d64681c92c0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.885793Z digest=sha256:ee9de04e1d85305f22d5de72b146f0e1191eae68dcf95b24d30f3cb125b99316

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.892485Z digest=sha256:cef0768e6cf9d2fe1d0bed6babbca20a1730cda3cbccb96aac5d316447c37015

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.895406Z digest=sha256:bca2b0030fd16068cadfb4c0360b1b6d2b4256b12b30ab027b218fbbfc8c2ae5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.898406Z digest=sha256:903bf3bf855a81ad6dd5a2fc38fb50000a58448efd210df9d3d1258fbea14872

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.901605Z digest=sha256:36c583af22cc5fb858c860ed1520f7c978ba2eae036d2d28d98fdddd2c9e6201

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.904499Z digest=sha256:dbaef2f6c093b7525fc5b986edcb4dbc1713da39204cd5fe2ac3767087dda696

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.907624Z digest=sha256:2813c5acbd074f970451d5f37fbdc6e697842e8aa94bd2dce69d0a4a84d97677

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.910835Z digest=sha256:f7bf6c546e6ae3b82aa05b307229a9e3a40ae79d1bb4fb6ac9305f04a971d109

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.913825Z digest=sha256:7794256f54db4110ab43d886a833f9b3364c70ba852549c79f72aed2e56fa784

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.917545Z digest=sha256:4423ccb5d1ed1321978197d21abafceefe4327b5cae2f691e09883a265dae4bd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.923896Z digest=sha256:3257a18ffd786ac8836b4dc06f883487be3ef579ee0e11df20eb5b9067234e69

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.926872Z digest=sha256:a9a297d50c114a0529f904d74ffdae679608182e49524a3ad8137d6d51e9c000

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.929800Z digest=sha256:ea50677bf0ec25016f567f4c32b07a14f4426e98cc07c793c016b25be12d2997

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.932997Z digest=sha256:7202988b497f5b55a6c0c3203e7d48f1127bdf152c5750788179b093c83b42d3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.935796Z digest=sha256:b8830ba20055c0bb965ef437834a414737cf2b22546dec8e2de0d3a93252b260

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.938977Z digest=sha256:d4f62150b3aa3c5a91bc3f9794f8b1fee821bd0e49c6603386d50a39a700768a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.942218Z digest=sha256:9a3acacaf750f045708959fab916a1a8b267a15a32d266c8bf1bbc89b6a95327

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.945426Z digest=sha256:76c10fea7a6b6f8cc7212ffcbdbd3eadf8eed6e8ce72b5c6bdd6a517aba7e334

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.948968Z digest=sha256:1e6bd2b395e933bc34c3ab58e2b97facde187e2ca07541caa0ee41ee4cc25f06

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.951913Z digest=sha256:ef0e4210433a1c272acd874d02eb2dc3ad355c991987dfae7069e6eeb18757cc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.954819Z digest=sha256:c344d3bfa79687dad23f1f27db689e35c8d643ba01abe39794ace4fa83a9f2aa

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.957640Z digest=sha256:b416acf8e44481855a96d7bcda19595f35379793ebfba075722524bd9e8aee27

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.960523Z digest=sha256:ef30f5ee53d569767db2938836cdd8da7769ab471ce5c38ba6ef8016a37ef709

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.963697Z digest=sha256:2c8d33e81fc66f2b38e652e8cf9ec47e87fbc2305429b826f7bd9ea57f644db3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.967535Z digest=sha256:4cd12f3aca20f924c9ae20e28bc770ba7ac506bfc17a0fb57b277cff24b42a6a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.970397Z digest=sha256:35d40a62c830bbaf45f7e5a1d718ac64c25a6812a21ea6064270cac9f2af4e44

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.973691Z digest=sha256:85c3b2e8d33b4719e384bf7aadf046f13e66ce98e5407d6e5a351b81e9f0a2f4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.976755Z digest=sha256:0f611ce6d4ce73846d90b21395bcc7b9182cdf75cd6729dbd79c5ae5dcb169ce

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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:42.008012Z digest=sha256:97aa2faa053f5a5811c2d6d5df383998c8ebe529aa74d74500e1db45762dccd5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:42.010938Z digest=sha256:8ae16663dc0474ed6b4dae7f9eb583e6b555e8c1e844a51c5875f925d36ee111

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:42.013770Z digest=sha256:685bb4b20c0cedab235803f4fb9359a9a9c24b5fe6f922c83791050a3fe6c602

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:42.019298Z digest=sha256:7ecb4ba3d765779ba04d4c4a48ae5d8de6f9f7ec2f88e5d2ad715b55644064fc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.889035Z digest=sha256:9cd44876361d331ca527f1f862a9d4b774d8f95daa4844364a9819746ef40dab

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:42.016680Z digest=sha256:eff95fd2c5e032d98c2f43a5312350e1945b0bf0adb11110f0ce41a68b93d3ff

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.920894Z digest=sha256:46774ae9f0dbe7070021ea6d8c27a1e9e35af547772fc954e5a840292efb4cdd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.789556Z digest=sha256:e0074e212aead60144d5fdbb1c99724dc2e0af46a5248991a9d8504988f04eff

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.857937Z digest=sha256:a380d8dfcb9f88f808f6395813094acf70caa704a5566fd6120a5e3edece6cd1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T22:15:41.996133Z digest=sha256:e7e9bf297e5da11b2a362c229dcc27f97b223bf78b62ad3da03a0153bd5e6271

Pith citing papers

No inbound Pith citation observations are available.