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Paper Citation Record · LEDGER

Counting Martingales for Measure and Dimension in Complexity Classes

As of 8 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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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

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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

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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 2026-08-08T06:32:00.761636+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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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 2026-08-08T06:32:00.761636+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=sha256:1b72d79749d02ea8fb79c9a04600d38b3bfa0c330e1442239590140dcd352929

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=sha256:5bdd6c1626c5ac306d19480b2b74866ed1bb2058dfef103331be2f5bd4c86d30

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=sha256:32d4e15b3f91e2d0abf937e505227b03caab64f897f73ed54d939e561cb66fc2

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=sha256:5ea17e40999a77dc2b35dd4e5daef9d6fb05faa47d3eb3f105af3162790cea90

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:d0a34db5b9268b72e1deeac993b92ada636a6ada81c0c1b458d5eff031bdc0d7

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:a3661017e6aae2628cb57cb771af48ff38909b99617bd77c33dd9f4857df0f20

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:c354ca38ab6258fb665058c9f5b992aba71e3357e8ed508b3eec02bf243d3cc2

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:f6107651442b611b76f3b8885730daaa02fbc887540903569bf77fecfa8c094b

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=sha256:794eb3bbc92e891825a5fc0e89d070ea61895a0bbde331ed8d69014355f75aaf

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:e5384e2b7ba74673692e1ef91d3a3519f2b9859778c37d578142bd9deb05f5f2

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:ca0deda35e42b755c1c6d981c428f8d3246e430da9091c2b2f1f7d7eac2ddf01

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:f087c29fd8595841f885b940143a5289ceea3996f0547529d95a3d8f0e6b92ff

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=sha256:17eebf6c017d6045f87f3e1de3b07c47b7a8c4fd00c56304b50ea4af926ab139

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:b770f1265eedaf92441df4e2352b2de70a720783daf6c5e60c9fe55d8fe1d62f

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:ecdee8f99d85a7cfea73afbf500c98d848a34a0cb69567dc0e65476bea6342d6

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=sha256:53244b917d04101326873ec0de5c5707bec90ff0b74a46100ca93bbcec108106

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=sha256:240f9e2b986c617633ffb4444fd9ecf0dddc6d3bfb1174767952124665adf7b2

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=sha256:9fd89b60dcaca4e16df386fb2de5f74302291cf658d3cffd5126594138eb3ae0

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=sha256:93374f3f07091914f5ccb908f0590c5dd780ba5c3a00c6a2b12ecddb929e6c9c

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=sha256:566deb8349d10378b67fab0dfc79edd701d0f7996bb9fdec53f73313f6e2b965

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:c6f7d4a3979c89969805b4432b0dc32caeb816f4cdac4e8b739b9b61e754ee2c

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=sha256:0368b12fa40c60c08856426ed248d22705df3ab9d84d8f08aec46bd7101ab2bf

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=sha256:23c86f7c7cf594626e4ec5f486bf150c07fa8f801cef60f3597678889c321306

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=sha256:3e532afc20b16d5f2db6b64d3546f7f86309aabcd527f69b903c2a0608eed9b5

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:cbee69a4bfe725801bdd50130f1ca5224d431b2fd86e2428408ea28a8b088d8f

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=sha256:7ec0b5c976de58495a6447ca6e3c9acbb4977286e5767cd81f811822af0d9f75

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=sha256:22ca0ad4b9705fb70532889ec76223ca2ad82f7fa429cbe76fd7446056a88581

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=sha256:879ea1f69acebce31555728879c7263b3e1c7ae416e2a527bfa5882bd2dfd5e1

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=sha256:89c170e1ed5ffe7b992f906eb260b52b7b6c069002c14de589103a5c122fb781

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=sha256:4bced62e0c2c11e96bda35663419fed9d6898172ef51b6fa51b4d7500c56603a

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:e84e42418987333f8d2ef74e7629c2a11a236ec53dd54ce090364a64a9106417

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=sha256:975d3c9b6b39135d1ea8a7669d121da7f1485f5d847b922c811ced95819b0815

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=sha256:6c6dbae3f0a2611a3ff7adf3b6569f25308e99fc69fa5c01dac9de6a4e658701

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:a5e9263302d264a3b7a880e86ade1fce730d39892a7fb83119f62cbbcc185b2b

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:fbbc170672ee64ca53feaa70bcc43b44e1fcde80545273384da38d6fc4e11437

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:c6470c630ef9153c07be683d577e43629d5a30f2c9708a0afc7a25697e18b37f

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=sha256:885c2e01c8686cb470c207d024347bcbeac6e5219239bc2ec4a933fcc0db029f

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:d0ed3897faa60f891ef0918f534de2218f3cde915ad201b6544b7a9098bb5808

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

source=pdf_text observed=2026-08-05T22:15:42.002237Z digest=sha256:04db3dac3e9d04d899e0709fb5c82f6c27850feff0cf5950e103160cb4cfde27

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.

source=pdf_text observed=2026-08-05T22:15:42.005143Z digest=sha256:ad3405b16fcb49327b5df2bd1fc1d8b48afdc9aba5d06cd529da1bcebbaeeeea

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=sha256:56dc108aa985cdfd8ddb62faa531f53733f94416303ac2ce5b22bb651216beb7

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=sha256:99ab9e46c79d50590d96b8edacec4029e133a921a2ea1565080c2566d0c912bd

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:ed0720139e4cf968da5bfb9313cdbbda59963b3f74c706828ea0ca143b53e868

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=sha256:856579f96351954cf9989a279d90cd12fa989704fe5d6434e1626e70e3a51e1d

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=sha256:12e3b81c4b95dff6da77155f4e5173a77b2d8355d641bc67d49627b506e15c59

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=sha256:2e3414695e5d9c4c93f6bfadbdd7fe094cecb5a57be1a22b1905de4f75095a28

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=sha256:740e662e5c7f769ddd7d93a1fb4e89d65a30ae6785fc16d61d8a9ea4858fc4fd

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=sha256:707b54380c4680a9e374fc434278d9ec27590028bcb4169b5f0a6a06ce30c7bc

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=sha256:4ab6c2b4b93a5b50fcb3eb6b70253b9bb49f87c525866971e3e54d7ddc17b418

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=sha256:2521f1d6d05196f6e45bbfe50e92acd31451a405cd3f1fc141819b2071052098

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:c2b6146775843a7cf9319c73c73f12aeb807fa95676435a73930a53bf8e2a1cf

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:e905a1fb64c01148a634381f53e83c5ca9c4c05d01088128a41349969589c732

Pith citing papers

No inbound Pith citation observations are available.