Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T06:00:12.481984Z
Paper Citation Record · LEDGER
Proof of a conjecture by Starr and log-concavity for random commuting permutations
As of 18 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2506.06894.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-27T04:06:38.156334Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T17:28:44.664752Z
Reference resolution
33 of 33 outbound references displayed
- verified exact4
- verified fuzzy20
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cd1f030a-a7fc-4599-bd97-a8be083dcd40 · outbound
This paper cites Abdesselam, A physicist’s proof of the Lagrange-Good multivariable inversion formula.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Abdesselam, A physicist’s proof of the Lagrange-Good multivariable inversion formula
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:19.219388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bcc98544-c403-4f5b-96c6-02bcdd9aa55c · outbound
This paper cites Abdesselam, Feynman diagrams in algebraic combinatorics.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Abdesselam, Feynman diagrams in algebraic combinatorics
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:19.087477Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f65325b8-0d9a-4779-9c00-4071f11f75b8 · outbound
This paper cites Non-Abelian correlation inequalities and stable determinantal polynomials.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Non-Abelian correlation inequalities and stable determinantal polynomials
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:00:13.757921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 31cd4a40-61cf-492c-bb12-e5159318c018 · outbound
This paper cites Abdesselam, Log-concavity with respect to the number of orbits for infinite tuples of commuting permutations.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Abdesselam, Log-concavity with respect to the number of orbits for infinite tuples of commuting permutations
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:18.753651Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 23565f11-27d5-4c92-b83c-3366969fd207 · outbound
This paper cites Abdesselam, P.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Abdesselam, P
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:18.427347Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation eb22bc22-0735-44ee-92bf-08b7ace333cc · outbound
This paper cites Abdesselam, and S.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Abdesselam, and S
Reference 6
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T06:00:13.523955Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7955bf42-610e-4596-8c5c-94626c54b887 · outbound
This paper cites an unresolved cited work.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:18.158165Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9ce5581f-83ba-4b95-b032-1e8290570043 · outbound
This paper cites an unresolved cited work.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:17.919016Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1ba3ee86-2a35-4d47-89b8-f8a06f694123 · outbound
This paper cites an unresolved cited work.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:17.790835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 172792ec-29bb-4af5-a1c5-2707b347f312 · outbound
This paper cites Bringmann, J.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Bringmann, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:17.625887Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 39337a1a-c0d3-47bb-aeec-4301b3b9ef3d · outbound
This paper cites an unresolved cited work.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:17.448085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b140125b-deb3-40aa-bdbc-bf3fa8cbd1e5 · outbound
This paper cites Bryan, and J.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Bryan, and J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:17.256344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 976ad257-3ae2-4811-a54a-8695046f8743 · outbound
This paper cites Debruyne, and G.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Debruyne, and G
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:17.078795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 86ce2fe3-d0b2-4527-b6b6-f7639726ca8a · outbound
This paper cites an unresolved cited work.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:16.896323Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 295fd581-86f7-48ca-af8d-373415190c6b · outbound
This paper cites Flajolet, X.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Flajolet, X
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:16.754785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e078be6e-ac90-44a4-9436-24fa1b0dfb6b · outbound
This paper cites Heim, and M.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Heim, and M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:16.572225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0e562ec1-cac8-4852-80b7-e470abd234f4 · outbound
This paper cites Hwang, Limit theorems for the number of summands in integer partitions.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Hwang, Limit theorems for the number of summands in integer partitions
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:16.394790Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 12c0d6e7-3f77-47dc-97be-55906154759a · outbound
This paper cites Kowalski, Un Cours de Th´ eorie Analytique des Nombres.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Kowalski, Un Cours de Th´ eorie Analytique des Nombres
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:16.214922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6cd9bc51-9210-408b-8b67-45f998fedb25 · outbound
This paper cites an unresolved cited work.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:16.034524Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 453707c3-af5f-4131-b9f3-c9019df39cdf · outbound
This paper cites an unresolved cited work.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:15.852336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 107d42c0-68a3-469d-8a42-f7ec39276301 · outbound
This paper cites A Local Limit Theorem for Integer Partitions into Small Powers.
Proof of a conjecture by Starr and log-concavity for random commuting permutations A Local Limit Theorem for Integer Partitions into Small Powers
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:00:13.192192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d32e8845-f869-4153-a312-f86fb07c3ac1 · outbound
This paper cites Madritsch, and S.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Madritsch, and S
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:15.684622Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 29e41169-38bd-4af5-aac8-0e59553569e0 · outbound
This paper cites Moser, M.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Moser, M
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:15.543239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a1675276-5017-4f73-88fb-e2561bbf5816 · outbound
This paper cites an unresolved cited work.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:15.384589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9dc8ba3a-a778-438a-8fe9-397e56c2ae5f · outbound
This paper cites Pemantle, and M.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Pemantle, and M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:15.207187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2a144ca2-002e-42a2-b7ce-b4747f4481a7 · outbound
This paper cites Riemann, ¨Uber die Anzahl der Primzahlen unter einer gegebenen Gr¨ osse.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Riemann, ¨Uber die Anzahl der Primzahlen unter einer gegebenen Gr¨ osse
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:15.013643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a4a5984d-3f93-4f7d-a171-2d4ef63f9e48 · outbound
This paper cites Some Observations about the "Generalized Abundancy Index".
Proof of a conjecture by Starr and log-concavity for random commuting permutations Some Observations about the "Generalized Abundancy Index"
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:00:12.855215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e72ddc37-c3bc-4c3c-b1ac-040850796505 · outbound
This paper cites Tao, Compactness and Contradiction.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Tao, Compactness and Contradiction
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:14.862504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3ae817ff-2f0d-4efb-be4e-da71b8d7fae9 · outbound
This paper cites Tenenbaum, Introduction to Analytic and Probabilistic Number Theory.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Tenenbaum, Introduction to Analytic and Probabilistic Number Theory
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:14.718793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3a467c1c-193f-4ac0-9d31-92555086a113 · outbound
This paper cites Tenenbaum, J.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Tenenbaum, J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:14.572814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 40897ef4-b5ec-4ade-88b5-8ed739590ff6 · outbound
This paper cites an unresolved cited work.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:14.357379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b27fb6f2-f833-4313-92c7-e3d671ec7c64 · outbound
This paper cites Wigert, Sur la s´ erie de Lambert et son application ` a la th´ eorie des nombres.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Wigert, Sur la s´ erie de Lambert et son application ` a la th´ eorie des nombres
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:14.141961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c5eb4bfb-2da0-46cf-910a-d67a04628179 · outbound
This paper cites Zagier, The Mellin transfom and related analytic techniques.
Proof of a conjecture by Starr and log-concavity for random commuting permutations Zagier, The Mellin transfom and related analytic techniques
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:13.936123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
Observation 83d568a1-e862-4b64-8c3c-4356da1403b6 · inbound
Dominant Zeros of Nekrasov--Okounkov Polynomials cites this paper.
Dominant Zeros of Nekrasov--Okounkov Polynomials Proof of a conjecture by Starr and log-concavity for random commuting permutations
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T17:28:44.666367Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.