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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 2026-08-07T06:34:17.273281+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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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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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 2026-08-07T06:34:17.273281+00:00.

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

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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

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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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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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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.851554Z digest=sha256:3807c3b612c2a65e5b7003c5d834039e15d1508579cb1b04d791a8f59031e4c3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.855076Z digest=sha256:16778dfdf561df978ecacdc49027e8b6259cbefc3e526d5a4e438b1b40f85976

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.861315Z digest=sha256:6ea0c2c1d66cedec449b4528c5e44c412769795954495ae7bbd87c1dd3ab4a83

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.865258Z digest=sha256:1ec417890a04a7d689a3032a187ab9d90848cf0db2a406d31a1f55d04169c3fe

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.868153Z digest=sha256:3e563af0591ab647af271091fde3e05abe8115abd53454124cb59be46c457f20

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.871229Z digest=sha256:113069ba523f8d54b8428437d3be2e49ec5b8302bb73e43a66a0942c5acc54d0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.874384Z digest=sha256:f3c3d09734d54de76c297bf4ca97a852d37402091a14c83b73f7a7fe333addc3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.877256Z digest=sha256:ab30ba2342d2314b6785c2139eb657b04f2393c7e4aa8e81ec1935e587595b9d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.880124Z digest=sha256:2872e0222ff7338ca157bb98480dd80f1810b3d89f713a54c551f08b415d15bf

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.882889Z digest=sha256:11080ee6b53c919bd0cf32df0ec9b3beae58678007ae9363f51f6e8477563986

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.885793Z digest=sha256:54fec32f5e8b3bb33b74f004b599cdd80819b207ee6df00a388f3d0f32ff5ea2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.892485Z digest=sha256:5d12847401c3c431105134b7ec923d90a9e3fda04971d0ad9cdd4fa3108c9b11

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.895406Z digest=sha256:00411bc373b356970a77bccca0ac7ca79d207bc791fecc2ea6c28ba32e8d4750

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.898406Z digest=sha256:135113ac05b1bfaab0b5717929c848ba269d88d35505a8a5f9a0607724eff30d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.901605Z digest=sha256:e9ffeff92ff1f6c04a0e1c95cbc4273274202ce20c00313167bd46228b100aa5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.904499Z digest=sha256:6a97f96d5aa9186ac9497ad77c7af1ade7d40020e9a741cb8948bd37799c0300

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.907624Z digest=sha256:3c0351d76b858e4adbef65e94b4cfb17281c2d72dbc50b3efbd6512cbc435ab5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.910835Z digest=sha256:ff1b829713fd9702f84774b321e51e02c4ff16909652b17065b5bf400e7fc0d0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.913825Z digest=sha256:229d8bc70ee3e18063a66991189b7265fc6b72abae52396721b91312e139ca57

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.917545Z digest=sha256:5248746d4ad3375b1e365e8ba62b8defa2f744957fd87143ca952ecaed7f9f3f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.923896Z digest=sha256:9ab212e770da7720faa0bdb7f19370d2a35f5a9cf85c173f21042917499f1e7d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.926872Z digest=sha256:6a1e31a78a101451152dbb04803aa09bee9bde9148f208c7ac762a384d798565

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.929800Z digest=sha256:f506a2499508cf476650437a9e9561add7bc0d69e9cbcc937ab06bed219e7786

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.932997Z digest=sha256:cd45376834381bec08fed40ab2a0b12de6afa06251306ba638360024465fe572

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.935796Z digest=sha256:8c6aa4b529ae9c594798d33340bdd15dde80e2b34fbf742f4390ca5ab5296c3f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.938977Z digest=sha256:6f5a9ac41aa801fbbdd60dd58b9382b05f22e2c7ee78922f6810d6ca245d8083

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.942218Z digest=sha256:97734dfbf61d8cdc2fa11c741b3c2df59704148adb7ab9a45d7f53e16be18a8a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.945426Z digest=sha256:a396f151e12a65ea8565e4ce2e478534772d1defe904b3bc8729f38044484ccb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.948968Z digest=sha256:47b971fe75e2dc284922e733c19c05f4066ce5dd90c20b0fb3f3dc5d274ffdcf

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.951913Z digest=sha256:5a0f8933f8764b8b2e3867a82f05ed3ae44a0a7e1195f68ad29347111b1e1edb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.954819Z digest=sha256:8a6d4ebefd96dbf4ffc589149609f00711ebf4d183af9e22c7841a7380a559a5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.957640Z digest=sha256:14987a6110222a6592507f0bc3ef3d68160e44c851e6e75b5344af77993480a8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.960523Z digest=sha256:18d907c9ab2a4d71c44fcb3fe0e6d551446bad2d7456c615e7db26e7016ec4e3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.963697Z digest=sha256:41e814a4c47e3538535d1ae6c4b61f8ddb84fb56c309baad3d042286087f5569

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.967535Z digest=sha256:54f2f89d353aab986a9bfcc4eb67a96c08a74ba32b5a160aed9721897e6b8404

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.970397Z digest=sha256:ed8512d4f9e3b12f26546974cfd53967a9ee87d3efc475bb0da56a882039e6a9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.973691Z digest=sha256:641bf3f4d6b10a0cb48681d6a599708a70d747c79f55c866a53f7f71f06afed7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.976755Z digest=sha256:76f2e37c58896b27c2e277a8e10988063bc66eec24e45478eba5c0f9914509e1

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 2026-08-07T06:34:17.273281+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:42.008012Z digest=sha256:eb3f3eeb756b236402c17c677f3ca6f945c846c15af6c88681c5630775bbff1e

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 2026-08-07T06:34:17.273281+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:42.013770Z digest=sha256:180f6e38dcc14c5734ab22d2c5a72706d6ab68e696b3df95cee0b5f200fd50d9

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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.889035Z digest=sha256:9a1403db7c2e0d7358542b5452d941c47ece01eb6b0d9d817dbda0ca451f7b5b

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=sha256:7c2082ad240e207aef09d837042751fae73958e6202f5df0c97cbac3cb1dbc16

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:42.016680Z digest=sha256:1f1162cede5390f5afb12c4507e619fd5c76a3dad03996cf5e12c337896eb147

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:aa0c2fc24196315129e47616ba456476cbf69de6fc338ddb9047d6ae499513c1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.920894Z digest=sha256:c5b415752d60a046664002b298cd62d9b6542257b73cc0901e2499c7ea0f707d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.789556Z digest=sha256:6a546df1a1a3b19d6d804c78bd88a2f0ca0596c665aa64847adcd954ef4f0eda

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:15:41.857937Z digest=sha256:fce1fb54b9441d9fad6e40fa3b502a7b1f655dacf7a2216ca0b29efef7deeb04

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 2026-08-07T06:34:17.273281+00:00.

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Pith citing papers

No inbound Pith citation observations are available.