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Paper Citation Record · LEDGER

Mathematical reasoning and the computer

As of 9 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2502.07850.

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

pith.paper-citation-record.v1
2502.07850 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T12:48:49.322911Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4686a32c-fe06-4357-8d9e-693354d9234e · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:50.209083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.065695Z digest=sha256:91dea4cc06e440b9e062005b31d1ef60c727f5a621f0bc5160ec7487fdf52c78

Observation 5d477f93-3cdf-408d-ae82-507e6831cd0a · outbound

This paper cites Theory 26 (2022), 1145--1191.

Mathematical reasoning and the computer Theory 26 (2022), 1145--1191

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:50.192813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.108725Z digest=sha256:58ca13c84c10321a49c3235ac830af2d836ae2f250c3c747354d80283744b25c

Observation 7f36296f-7087-42b5-af49-ab9f47424301 · outbound

This paper cites Bloom, On a density conjecture about unit fractions, 2021.

Mathematical reasoning and the computer Bloom, On a density conjecture about unit fractions, 2021

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:50.175984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.153462Z digest=sha256:04742be3ad659e9df4f9267ebc6d82f92737b5316d442e30294d1a19ea4e1b57

Observation f689961c-7870-4400-b55b-837584237580 · outbound

This paper cites Bloom and Bhavik Mehta, Unit fractions, https://b-mehta.github.io/unit-fractions/, Accessed: 24-04-2023.

Mathematical reasoning and the computer Bloom and Bhavik Mehta, Unit fractions, https://b-mehta.github.io/unit-fractions/, Accessed: 24-04-2023

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:50.157385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.169545Z digest=sha256:c08787e50744a5a44289cb89b49cebb07935370680c190e9b847696fc977a6ad

Observation 091c42b4-69c7-488d-bfd5-e57f387856ea · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:50.140369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.175759Z digest=sha256:7beba4f0df6ef820b2a261a7bd3047c17e56c6f3a8b226018c34ccbf05da7ec8

Observation 58eabec5-1de7-451b-a005-a30801eb5064 · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:50.124133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.181299Z digest=sha256:db03a65429368600a5332466c1f7e680a9019566fc6d61e9ed1fd0657f74d596

Observation 5918d665-5761-4f9c-9528-e91f2fdcf5a4 · outbound

This paper cites Dahn, Robbins algebras are B oolean: a revision of M c C une's computer-generated solution of R obbins problem , J.

Mathematical reasoning and the computer Dahn, Robbins algebras are B oolean: a revision of M c C une's computer-generated solution of R obbins problem , J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:50.106970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.187616Z digest=sha256:94ce7d1f9075a51b17621f237ead3c6a8fbc28b5fd01cdd4166700b0b000a085

Observation fae40861-027c-42b0-a34f-01b132844616 · outbound

This paper cites Deep Learning and Mathematical Intuition: A Review of (Davies et al. 2021).

Mathematical reasoning and the computer Deep Learning and Mathematical Intuition: A Review of (Davies et al. 2021)

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-08T12:48:49.193135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T12:48:49.193135Z digest=sha256:cf07d25bb1c8cb54068b88f7e4079516ef826dc1eac50d38ea6298a1c406bd76

Observation 4a015caf-aa17-4ca5-8b9f-26fd0477889b · outbound

This paper cites Dahmen, Johannes H\" o lzl, and Robert Y.

Mathematical reasoning and the computer Dahmen, Johannes H\" o lzl, and Robert Y

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:50.089411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.199861Z digest=sha256:313142137ff7849b9ab42ada61cdb7478ef9e2bca0c8fadd5d7d60432dabfc92

Observation 0626422c-7a0f-4d65-8eee-a94fbb2f4908 · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:50.071693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.205820Z digest=sha256:37f797d17a60e5294c80eb11d79b8aa4e3fbc2fd60e16ecc8be5e092f779384b

Observation ed74716a-5773-4715-9c0a-e5c21643d92a · outbound

This paper cites Ellenberg and Dion Gijswijt, On large subsets of F^n_q with no three-term arithmetic progression , Ann.

Mathematical reasoning and the computer Ellenberg and Dion Gijswijt, On large subsets of F^n_q with no three-term arithmetic progression , Ann

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:50.054571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.211079Z digest=sha256:e4334f5fe6ca32183f4b80d726137d308a857de00aa77d36012a25f91d677793

Observation 296b20e2-0ce0-4011-a842-72fd36d4781c · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:50.035134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.215621Z digest=sha256:fdd1f167c0670982630e254fa8b88dabe9d82030329fa8e8325c7a9bcb68567e

Observation 1b6678c8-4d97-4149-bc29-635ab6d72d69 · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:50.017400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.220928Z digest=sha256:a33f1b13eb7f4e62459e3f7efa7eaa8287eb26f533a9880e53165719f62c47b3

Observation 421a8163-80cd-41f8-a9bd-492469185a2e · outbound

This paper cites Hales, A proof of the K epler conjecture , Ann.

Mathematical reasoning and the computer Hales, A proof of the K epler conjecture , Ann

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:49.999691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.226209Z digest=sha256:dcc18958bcee2b9de42a85bc4e4f294feb665bf3f3b1204cd681b77c7a26e12d

Observation 08931de3-ccb0-4b5a-9e96-48a155adf970 · outbound

This paper cites Notes Log., vol.

Mathematical reasoning and the computer Notes Log., vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:49.982901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.231040Z digest=sha256:d043b7b0b60dc7f0e2d485d34bea2db89c2f7459c3e3f1f52d9e59627991b656

Observation 0c05c559-72d3-4df3-a1ae-8ede25b20646 · outbound

This paper cites 2293, Springer, Cham, [2021] 2021.

Mathematical reasoning and the computer 2293, Springer, Cham, [2021] 2021

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:49.965350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.237103Z digest=sha256:a30bba3f7954f7482de7f6a2ff8547ed104dd413610ec8a5257c66fb5a90db3e

Observation 5b2317b0-19d6-4d74-9508-0a12d1f32d73 · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.949151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.242668Z digest=sha256:6c00521400d3ff2a629ba72c4fc33ce56a2f3be544e7650bfd05ee25960877eb

Observation fa2f2d5a-d399-476a-b6d5-564203850d83 · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.932875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.247620Z digest=sha256:5e64505c13b697651064f783b8680f8cab1d8c97aaf442405e3dc1d7856e3f0f

Observation db52e6ce-7c9d-482f-b10c-c9e126fb6718 · outbound

This paper cites Koyejo, S.

Mathematical reasoning and the computer Koyejo, S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:49.911663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.253414Z digest=sha256:b2cb5fe5b0929c896e6abd914f2529f75f79f281d38d083a1b08df6b1746e0af

Observation 6580402b-32fa-4509-95a0-400d53dc6b43 · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.893611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.259205Z digest=sha256:cceaef4f0466cf3235b618d2469f55c86518bacb63ca00f8af636d7d03c39ac6

Observation 890a539e-361b-44d4-b824-3598a4b7c8bf · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.876198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.264488Z digest=sha256:391cbab2c4f02640cee940ea5332263f1ee8c45472920b46884667759b317a0e

Observation 69af1be5-c06e-40cd-9bf5-0d3f3d7df958 · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.858053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.269885Z digest=sha256:77e196aff5d4adf49e1aa75d6db59c6d63a4733f1c2bd8da1d3cebff04c38556

Observation 1e6064e8-f4c8-4ef8-b5d2-942028e32157 · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.841038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.275253Z digest=sha256:7c5923d4d652e1ec54329db8ac6ad7627e1dbbb56f311e9efc1c2281e79476c1

Observation 11723e6d-e19b-4fc5-88e0-57f50392a5de · outbound

This paper cites Blackwood and sons, 1889.

Mathematical reasoning and the computer Blackwood and sons, 1889

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:48:49.821843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.280314Z digest=sha256:17cffaa9c22d4c1ae709dc6b3036a08e4b99dc398a79898721ab5deb18dafc94

Observation 83ea9c89-5dca-42c4-9b46-3ec95c4a6a0d · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.802464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.285405Z digest=sha256:f786b10da9990ae93cd90b18f67e710e22e042d7f74238c7d9980667bfb27357

Observation 5bcc7d9c-9d44-4d85-9982-e7ea9708fd9d · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.785331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.290704Z digest=sha256:8e0b7c893115501176c492bce4215a020b5074c76a4275786ccb647ef249f788

Observation dceb7991-18af-423c-85b4-d321a310a38b · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.768336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.295808Z digest=sha256:f0d3eb7dd797b50933013c9ce7d8bb5f7494f7c141fe5dff6164e5386fd81a1b

Observation 7c16a30b-4057-408d-8d91-807aa4100064 · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.690124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.301089Z digest=sha256:84cdc9c419fe7c123b0c658623d1d50a408b1c8bde65e401c06cd8cd3ec9fd9f

Observation e25c4f99-512d-49e3-af74-2b8c3db1052e · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.658632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.306420Z digest=sha256:d333e654bdf8b959336e85a26bb1bd6236dc6d7a7c0d41172633d4749ce124e7

Observation c832d393-76e2-4d25-b768-439410d7462e · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-08T12:48:49.311585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T12:48:49.311585Z digest=sha256:bfcebd0314ae6bcc5e7e21227034f6e0e7c097f657fad988fb6d9494730db2e2

Observation b52620cb-8fc5-411f-af5e-8489bf0795ca · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.494282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.317095Z digest=sha256:3250e8dec1af424af6c107a3dae476927ace4da67f1ba8b4a3e0fd3f544557a1

Observation 8124d8be-b00c-4b63-b3d1-495d02e61b7a · outbound

This paper cites an unresolved cited work.

Mathematical reasoning and the computer Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:48:49.385013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.322911Z digest=sha256:a0b3e8bf2cfd12f2727ce5b3e868cfc2484f1dafc1990318456e4d9cf77b713a

Pith citing papers

No inbound Pith citation observations are available.