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Paper Citation Record · LEDGER

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.14961.

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

pith.paper-citation-record.v1
2607.14961 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:45:44.543261Z

measured 12 of 12 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 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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2d2c1f14-6829-452a-b8b7-e3ca5adda341 · outbound

This paper cites Log-concavity with respect to the number of orbits for infinite tuples of commuting permutations.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Log-concavity with respect to the number of orbits for infinite tuples of commuting permutations

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.496739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.496739Z digest=sha256:4ce4962b3e8d2f37d122718b086cf6b80b9b8bdc3718d2930c705962e36e0e60

Observation 25574c6c-1bc0-4b01-a0ff-63a21257e1c5 · outbound

This paper cites A bijection for tuples of commuting permutations and a log-concavity conjecture.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions A bijection for tuples of commuting permutations and a log-concavity conjecture

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.501788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.501788Z digest=sha256:fab4813c4b9156a0105a0f82f3cc14bf0650d52c3679b75aa1c7d4b13d3db5ac

Observation 61823559-4601-49dd-9dda-a72a58d3f8d2 · outbound

This paper cites On the Smallest Counterexample to the Log-Concavity of the D'Arcais Polynomials.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions On the Smallest Counterexample to the Log-Concavity of the D'Arcais Polynomials

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.506261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.506261Z digest=sha256:77f406a360be5849927c6e4052bf0d928bc129e47e668124d17a4508c45a3b90

Observation a9e9c3c3-601c-47df-8a10-482365e4547b · outbound

This paper cites Heim and M.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Heim and M

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.510517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.510517Z digest=sha256:b9ef1f308118c648efdd7009cba03fe0235cf709dddfad556074fb561a71f372

Observation 9dd5abd7-0510-4cbb-b86c-88aedfcd4375 · outbound

This paper cites an unresolved cited work.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.514893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.514893Z digest=sha256:c438ca7600f882a922bf124e911e50ed86b41816eea627bc0d241bf05e9400e1

Observation a137274a-3a1a-4ff9-939d-e6709619bd65 · outbound

This paper cites an unresolved cited work.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.518895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.518895Z digest=sha256:80bc3ea8b3213e4566dd61477eb60ffdee1b6711f90c334bdab6b036ab127eb2

Observation 2457bfe2-63b8-4d73-b61d-88f792c8d273 · outbound

This paper cites Heim and J.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Heim and J

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.523669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.523669Z digest=sha256:59cae31c29995fd80da02777f262c9463dd9a6e17ac3c82595bd3a7acdccba5a

Observation e19fd20b-6d99-487e-98c7-a09592207046 · outbound

This paper cites Towards Heim and Neuhauser's Unimodality Conjecture on the Nekrasov-Okounkov polynomials.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Towards Heim and Neuhauser's Unimodality Conjecture on the Nekrasov-Okounkov polynomials

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.527666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.527666Z digest=sha256:e7b7b043e4eb6fecc048b9af8dc012088751057b1937fcd305f626a9a93585e6

Observation e89bb2ff-ff0f-4bbd-a1b9-f916d815d98e · outbound

This paper cites Köhler,Eta Products and Theta Series Identities, Springer, Berlin, 2011.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Köhler,Eta Products and Theta Series Identities, Springer, Berlin, 2011

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.531816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.531816Z digest=sha256:38451505bf283389e695b8bb55e0b816a2b4652e68c3d942319be055e96ef49d

Observation 53d161d1-5fe4-46da-80f7-aebaa4712307 · outbound

This paper cites Ono,The Web of Modularity: Arithmetic of the Coefficients of Modular Forms andq-series, CBMS Regional Conference Series in Mathematics, vol.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Ono,The Web of Modularity: Arithmetic of the Coefficients of Modular Forms andq-series, CBMS Regional Conference Series in Mathematics, vol

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.535597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.535597Z digest=sha256:8b755c4f9cab1d97473b3e413a150baf7670668b6a322b5c65d9a9cebe98acc2

Observation 31d210d6-b40a-4a33-97c6-860df93e1c9b · outbound

This paper cites Starr,Asymptotics of the d’Arcais Numbers at Smallk(2026),https://arxiv.org/abs/2601.18599.

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Starr,Asymptotics of the d’Arcais Numbers at Smallk(2026),https://arxiv.org/abs/2601.18599

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.539501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.539501Z digest=sha256:aac078466f14bc45f6adc71b11500da926955de887f6f255249b80cf943eede0

Observation 4d9f15d7-4969-45e8-92fc-da82c0e906eb · outbound

This paper cites Żmija,Unusual class of polynomials related to partitions, The Ramanujan Journal62(2023).

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions Żmija,Unusual class of polynomials related to partitions, The Ramanujan Journal62(2023)

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T00:45:44.543261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:45:44.543261Z digest=sha256:73e9e118e6075fd4cf03a8a007ad386ac8e45f64910840b9656cfc07a48e97b5

Pith citing papers

No inbound Pith citation observations are available.