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Paper Citation Record · LEDGER

Mathematical reasoning and the computer

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.065695Z digest=sha256:7ea3c3a4878f473bda8643cfeeeba0d9a47e4b373bb8ecaabfd6ad3d1f0afd76

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.108725Z digest=sha256:f76a33435d3ffe43f0e4e8455e187757e35f27bd94df95092d8327191cd94247

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.153462Z digest=sha256:b55cfe5c28d4718a0c10a2cd3840b388efba08fa8b7fd2ab197217ebc3ddeb04

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.169545Z digest=sha256:5e4d58461b9f63ffeca3b72c2bb8dec3a72089edc3cf5006a47fa0e3e623077d

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.175759Z digest=sha256:89b421c392c9ae2b501165100a95ad85dec66f38bd45651056918262e7191683

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.181299Z digest=sha256:9fa54d7459c40dbce8406f34b850cdc1449b68836fff7ba5854d49f5b4d8290c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.187616Z digest=sha256:ecb6c9a28121c978c46964d9b2b91688f2da98df3953dee979e3e013b7cc2ad5

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=sha256:996c5c5edaeaae35ae841467d0df69c5229704a04fd297f752ed9dab5bcfb877

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.199861Z digest=sha256:9f66aededaf7b272e80c8fe0c6f573dc4173682963397dc18c1f4e829ff3a880

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.205820Z digest=sha256:1114d7ea374b1c9aaa72a413798c15021d9f3cb3c12d97ce4f54a808d7691f72

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.211079Z digest=sha256:27e0af0ea670a1a140007457c37a9ad1f31b6fc9cf789a044661552f0b6b7726

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.215621Z digest=sha256:c651a2237f7c818507bb39c6b52a7c5caccb53f944ffdcfd448690f90bff54e2

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.220928Z digest=sha256:de33d284f88b7b89b1026598ef4b1a79591aa233a08235faf4b5885e409db9a6

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.226209Z digest=sha256:54a9702fcea9ed933e8fee09441f47bc4aaecb89df926fba96ed97c54c78a9bc

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.231040Z digest=sha256:6fe6765f3e60d34d93bbf4af2e18b67694fbff7a3426accfeea3d641e3d21cb0

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.237103Z digest=sha256:e8cdfba398412e8185cafaea24cea1f3ab47ec7e3107010a4fef77f1f1ce493a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.242668Z digest=sha256:7ea78c185b8bedbdbf15f53e9d88212fcddbc85c493ad31aef5b2b2edc824c0c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.247620Z digest=sha256:f8eb6ae42b7e93d65432d4feee015e7969315f7129eed17fa263807c43700637

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.253414Z digest=sha256:f3b7e290782d7bc52ccf06b8e27e9877424929073b145c34a9ff058b12d42d58

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.259205Z digest=sha256:83d27c4105c91a0c7e41ef54459e95f8c773766d669a9ec48e13fdff8046b02e

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.264488Z digest=sha256:7e54fc5976025928f758c63d3aebfbe0bb999ab40b8eae89bf7d4eeec39f8745

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.269885Z digest=sha256:e8a20d05870864da21b5c4ce5bb247164c8756e6a4034e3264da8f194ec76a8b

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.275253Z digest=sha256:a669915f576f13de3472b87d2dcc5b8e8611156d3abd12f6739179b79104e196

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.280314Z digest=sha256:06162304e12be85fcb9a21081e5a17effd86ef0c59b698a1f6a1fd3afbe018dc

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.285405Z digest=sha256:4a168aa3a652abe9b9162aba3d208a09dbca140f71773a2ea9c9657c04f8bc93

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.290704Z digest=sha256:f64c66932bdf35eef49457ff3f5ec821a3144e694677626a1d8a56f9a95ad26a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.295808Z digest=sha256:9b1f119d2d7b168f2381f012d6fb082ebccb4d25a016da93236764709419a8e3

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.301089Z digest=sha256:811af05a7bc6cb39517e03aaffe79be548497c86f28389ff1742c5150c109e9a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.306420Z digest=sha256:7a06087b304e54a0c1b9a1092f0461ec696a5adf8ba5a7b72c3617789af4e77a

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=sha256:937a14b5bae142dc2c34dcae309a5c257b153a438db79a933daa7ffd67a2e6db

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.317095Z digest=sha256:5b35c9559d8fb15f9e0d344a2442ba7a01ff6b9da2da27bcc389561cc840cb0c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-08T12:48:49.322911Z digest=sha256:96448301f2a9b980c8d8e8b76bb4fb172d06cc4619a23e07729779ac1cdd789f

Pith citing papers

No inbound Pith citation observations are available.