Paper Citation Record · LEDGER

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories

As of 14 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 4 inbound Pith citation observations for arXiv:2606.03835.

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

pith.paper-citation-record.v1
2606.03835 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T07:46:35.864646Z

measured 30 of 30 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:37:20.797340Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T09:17:48.540059Z

Reference resolution

26 of 26 outbound references displayed

verified exact0
verified fuzzy0
unresolved25
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ceea26b7-dbc3-4fc4-be35-82642a80f55d · outbound

This paper cites Avigad, Varieties of mathematical understanding, Bull.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Avigad, Varieties of mathematical understanding, Bull

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14dd019e-5777-4c43-a1ae-5967487eccb9 · outbound

This paper cites Avigad, Automated reasoning for mathematics, in Automated reasoning.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Avigad, Automated reasoning for mathematics, in Automated reasoning

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 357f401f-3eaa-4a44-b48b-673adfb05568 · outbound

This paper cites Avigad, J.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Avigad, J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f12d656-d03b-4356-83ed-65ada09a5a0d · outbound

This paper cites Avigad, J.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Avigad, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e67ea56-2f16-43dc-bf3b-1bf297e0ba09 · outbound

This paper cites Barroso, U.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Barroso, U

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49adf781-cff8-456d-9633-5631251e2c9d · outbound

This paper cites Boyer, A mechanically proof-checked encyclopedia of mathematics: Should we build one? Can we?.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Boyer, A mechanically proof-checked encyclopedia of mathematics: Should we build one? Can we?

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90bb9ec8-ded8-468f-8655-e7f8e6e1cc1b · outbound

This paper cites Springer, Berlin.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Springer, Berlin

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19f869d3-b151-4a76-a2f3-177fc64ba1e6 · outbound

This paper cites de Bruijn, The mathematical language Automath, its usage, and some of its extensions.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories de Bruijn, The mathematical language Automath, its usage, and some of its extensions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d438199a-6f72-4990-b9ef-0709971a9903 · outbound

This paper cites Buzzard, Computers and mathematics, Lond.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Buzzard, Computers and mathematics, Lond

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dfa3e20-8e1f-44f8-bd17-385b2d925171 · outbound

This paper cites Buzzard, Mathematical reasoning and the computer, Bull.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Buzzard, Mathematical reasoning and the computer, Bull

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63d5bcad-7b3b-4b3b-be37-ba85417a7c9f · outbound

This paper cites Coquand, G.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Coquand, G

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5851962e-6dba-483f-b4d3-aec953253171 · outbound

This paper cites Gabriel, M.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Gabriel, M

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c5a5a7e-5bf8-4374-a6d8-ae28b925d351 · outbound

This paper cites Gordon, HOL: A proof generating system for higher-order logic,(Technical Report No.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Gordon, HOL: A proof generating system for higher-order logic,(Technical Report No

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 528da37a-bd3c-42b9-b365-4855d3901de8 · outbound

This paper cites Hamming, The mechanization of science Proceedings of the 1961 16th ACM national meeting.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Hamming, The mechanization of science Proceedings of the 1961 16th ACM national meeting

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c01d8a7-2a09-430a-9907-8d8bd4d13746 · outbound

This paper cites Rabe, QED reloaded: towards a pluralistic formal library of math- ematical knowledge, Journal of Formalized Reasoning, 9 (2016), no.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Rabe, QED reloaded: towards a pluralistic formal library of math- ematical knowledge, Journal of Formalized Reasoning, 9 (2016), no

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5138eb77-1aff-4605-8f34-e7a902c0ee6b · outbound

This paper cites Massot, Teaching mathematics using lean and controlled natural language, in 15th International Conference on Interactive Theorem Proving, Art.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Massot, Teaching mathematics using lean and controlled natural language, in 15th International Conference on Interactive Theorem Proving, Art

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6955e887-fd2a-4df3-8a6e-ec5a06bba5d4 · outbound

This paper cites an unresolved cited work.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Unresolved cited work

Reference 17

Resolution: parse uncertain; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e5f6cc8-8dd1-4af3-8356-c3687277e0ad · outbound

This paper cites Mayeux, Dilatations of Categories, Higher Structures, 9 (2025), no.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Mayeux, Dilatations of Categories, Higher Structures, 9 (2025), no

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d2e7a16-3003-4dac-9c0c-ec0db110552c · outbound

This paper cites Milner, Logic for Computable Functions: Description of a Machine Implemen- tation.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Milner, Logic for Computable Functions: Description of a Machine Implemen- tation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e448938-2a06-42c9-aee6-15dd76db6236 · outbound

This paper cites Milner, The use of machines to assist in rigorous proof, Philos.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Milner, The use of machines to assist in rigorous proof, Philos

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8017cc15-40cc-468a-87d0-245d6c9c830c · outbound

This paper cites Mousavi, M.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Mousavi, M

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 945e771f-da1b-44db-a081-9a6ccdf28bd6 · outbound

This paper cites an unresolved cited work.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee35228c-9d0b-43c7-b351-328aba7f55b9 · outbound

This paper cites Newell, J.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Newell, J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4ec7378-8713-46b7-bba7-c6ab2d9a18a0 · outbound

This paper cites an unresolved cited work.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a871d39-6894-4559-bfe9-c64bfd058c72 · outbound

This paper cites de Moura and S.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories de Moura and S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation feb80bfd-6dc3-4297-b76b-86c06cfd0177 · outbound

This paper cites Paulson: Isabelle.

Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories Paulson: Isabelle

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-28T07:46:35.864646Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 84cff988-89f7-4ecf-bb28-129471b10b0c · inbound

Towards a Bridge Layer Between Bibliographic and Formalized Mathematical Knowledge cites this paper.

Towards a Bridge Layer Between Bibliographic and Formalized Mathematical Knowledge Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-03T09:17:48.541347Z

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.

Observation 786e51e6-65dc-4861-ae4f-153360f398fd · inbound

Towards a Bridge Layer Between Bibliographic and Formalized Mathematical Knowledge cites this paper.

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T11:50:19.114898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7056b03f-2b73-483a-ad34-1c86c87facc5 · inbound

The set of primes is supernatural: a Lean formalization of the statement of the conjecture cites this paper.

The set of primes is supernatural: a Lean formalization of the statement of the conjecture Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:20.797340Z

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Unavailable: canonical work link unavailable.

Observation 2d6411f0-2421-4b4f-9a15-fd39c76a7202 · inbound

Dilatations of categories, via their lean formalization cites this paper.

Dilatations of categories, via their lean formalization Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T19:49:30.996009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.