Paper Citation Record · LEDGER

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles

As of 9 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2508.04545.

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

pith.paper-citation-record.v1
2508.04545 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:03:18.125741Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T11:12:26.657794Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact1
verified fuzzy16
unresolved0
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1eeb7ba5-ec85-47da-b425-0fe0266a4d41 · outbound

This paper cites Ciucu, Enumeration of perfect matchings in graphs with reﬂec tive symmetry, J.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Ciucu, Enumeration of perfect matchings in graphs with reﬂec tive symmetry, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:21.091558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8dd51e8f-9790-45d5-84e1-3cd05613b6cf · outbound

This paper cites Ciucu, A complementation theorem for perfect matchings of g raphs having a cellular completion, J.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Ciucu, A complementation theorem for perfect matchings of g raphs having a cellular completion, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:20.823866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e23ba607-7725-4afa-a06c-324bd9efa810 · outbound

This paper cites Ciucu, Cruciform regions and a conjecture of Di Francesco, Proc.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Ciucu, Cruciform regions and a conjecture of Di Francesco, Proc

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:20.538007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5b41b0c3-f1a1-406e-87e4-a93939a0e287 · outbound

This paper cites Domino tilings of generalized Aztec triangles.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Domino tilings of generalized Aztec triangles

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:03:18.330108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c4802094-3e3d-43a7-9cf4-3cc12b9e2219 · outbound

This paper cites Elkies, G.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Elkies, G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:20.321624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c9def688-f931-4cc6-9237-7efdca877539 · outbound

This paper cites Di Francesco and E.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Di Francesco and E

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:20.197028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9cd0fce-085c-49e1-8425-898e4a5de49f · outbound

This paper cites Di Francesco, Twenty vertex model and domino tilings of the A ztec triangle, Electron.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Di Francesco, Twenty vertex model and domino tilings of the A ztec triangle, Electron

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:19.999239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 18f50d66-74b7-4f13-a8d9-0ab69b02cfa7 · outbound

This paper cites Fischer, Short proof of the ASM theorem avoiding the six-ver tex model, J.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Fischer, Short proof of the ASM theorem avoiding the six-ver tex model, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:19.833484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9274c4c7-896b-4b44-91fb-5f6d0b515f29 · outbound

This paper cites Helfgott and I.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Helfgott and I

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:19.666751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eaee822f-8edd-4790-b900-780d9fb3181b · outbound

This paper cites Koutschan, Advanced applications of the holonomic systems approach, Ph.D.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Koutschan, Advanced applications of the holonomic systems approach, Ph.D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:19.467841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6832e53f-11f1-47b2-80d2-c1d198d355a6 · outbound

This paper cites Koutschan, Announcement, 9th International Conferen ce on Lattice Path Combinatorics and Applica- tions, CIRM Luminy, June 2021.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Koutschan, Announcement, 9th International Conferen ce on Lattice Path Combinatorics and Applica- tions, CIRM Luminy, June 2021

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:19.359960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3cf92c18-bff4-4870-acbb-01edd869e409 · outbound

This paper cites Koutschan, C.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Koutschan, C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:19.236085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 46bad8cd-c692-45d7-8b8e-8224311d45ed · outbound

This paper cites D eterminant evaluations in- spired by Di Francesco’s determinant for twenty-vertex conﬁgu rations.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles D eterminant evaluations in- spired by Di Francesco’s determinant for twenty-vertex conﬁgu rations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:19.098042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 729ca505-c85a-4241-bdd5-330eb72106c0 · outbound

This paper cites Krattenthaler, Schur function identities and the number of perfect matchings of holey Aztec rectangles, Contemp.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Krattenthaler, Schur function identities and the number of perfect matchings of holey Aztec rectangles, Contemp

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:19.007978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dcde5640-80c3-4c3a-a360-d2a440531bbc · outbound

This paper cites Kuperberg, Another proof of the alternating-sign matrix c onjecture, Int.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Kuperberg, Another proof of the alternating-sign matrix c onjecture, Int

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:18.860311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 210b5fff-dbe5-4a92-bf47-d6a4c7285143 · outbound

This paper cites Zeilberger, Proof of the alternating sign matrix conjecture Electron.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Zeilberger, Proof of the alternating sign matrix conjecture Electron

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:18.680533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 347379a9-35d5-432c-ac45-8b6966938c43 · outbound

This paper cites Zeilberger, The holonomic ansatz II.

A short combinatorial proof of Di Francesco's conjecture on Aztec triangles Zeilberger, The holonomic ansatz II

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:03:18.530891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 5f6ec84c-4e06-4ba8-afe5-8e4131e3e6c1 · inbound

Disentangling electronic and phononic contributions to high-temperature superconductivity in X2MH6 hydrides cites this paper.

Disentangling electronic and phononic contributions to high-temperature superconductivity in X2MH6 hydrides A short combinatorial proof of Di Francesco's conjecture on Aztec triangles

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T11:12:26.657794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.