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Paper Citation Record · LEDGER

Preservation of log-concavity on gamma polynomials

As of 23 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2502.08948.

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

pith.paper-citation-record.v1
2502.08948 v2

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:18:19.542970Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

9 of 9 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4f0f7932-813f-43bc-ac1c-c587a50c2701 · outbound

This paper cites Athanasiadis, Gamma-positivity in combinatorics and geometry, S\' e m.

Preservation of log-concavity on gamma polynomials Athanasiadis, Gamma-positivity in combinatorics and geometry, S\' e m

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:18:20.255614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T23:18:19.285882Z digest=sha256:1447d82c022bf2081fe63a822dd1a0ba5ae9f56a33d9b67e2d0864874a9987e6

Observation 2a50ad20-bc99-449d-9717-b3d6a963556e · outbound

This paper cites an unresolved cited work.

Preservation of log-concavity on gamma polynomials Unresolved cited work

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-08-07T23:18:19.916911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T23:18:19.387437Z digest=sha256:0ce421f5ff9b1ad16be409773b548601a00ffe32ab1fbaac3ff6b7812d4e0b11

Observation f8479e2f-896b-4fac-872b-79d1272d4057 · outbound

This paper cites an unresolved cited work.

Preservation of log-concavity on gamma polynomials Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:18:20.187769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T23:18:19.466083Z digest=sha256:d203eb7fac630c99d03d309ece013201f2e38430c1052eba14544d278edbdcaf

Observation 06604068-9748-498a-9c79-423ff9d39625 · outbound

This paper cites an unresolved cited work.

Preservation of log-concavity on gamma polynomials Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:18:20.134515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T23:18:19.482476Z digest=sha256:ed3317861b26bbd8b27c21b5283f7b3fc911817938d86af4cdada67641463bfc

Observation b598d0d4-9dd9-4b95-b047-57bb27bc0e4d · outbound

This paper cites an unresolved cited work.

Preservation of log-concavity on gamma polynomials Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:18:20.116368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T23:18:19.519380Z digest=sha256:0bd2cc379a24e40aaa12cefeb6d01e99d14d38fc44f65ed4611a052c53494ea4

Observation f15e22b4-0be9-40ec-bf87-a843d2f85f3d · outbound

This paper cites Math., vol.

Preservation of log-concavity on gamma polynomials Math., vol

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:18:20.099613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T23:18:19.525551Z digest=sha256:0f23f123db7ed3286aedc5d737b8b53370680b85cb19544548d5271f731181e5

Observation 38e97a3f-d0a6-46ef-916b-c15ad9cf23b2 · outbound

This paper cites Gal, Real root conjecture fails for five- and higher-dimensional spheres, Discrete Comput.

Preservation of log-concavity on gamma polynomials Gal, Real root conjecture fails for five- and higher-dimensional spheres, Discrete Comput

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:18:20.082170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T23:18:19.532977Z digest=sha256:1fc1c4ef47f484e709c8de625e84570b1bbd0942018a0bc99b98b1f6755493cb

Observation c10c4903-b57a-45d6-b1cf-74cfd09be6e3 · outbound

This paper cites Stanley, Log-concave and unimodal sequences in algebra, combinatorics, and geometry, Graph theory and its applications: E ast and W est ( J inan, 1986), Ann.

Preservation of log-concavity on gamma polynomials Stanley, Log-concave and unimodal sequences in algebra, combinatorics, and geometry, Graph theory and its applications: E ast and W est ( J inan, 1986), Ann

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:18:20.043185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T23:18:19.537937Z digest=sha256:d862a228fa13cd3d7bf307c561c382eeb66538d28ff5d9df512452a8f07b7d39

Observation f0551b42-0615-46ad-ba02-05812678a80b · outbound

This paper cites Wilf, generatingfunctionology, second ed., Academic Press, Inc., Boston, MA, 1994.

Preservation of log-concavity on gamma polynomials Wilf, generatingfunctionology, second ed., Academic Press, Inc., Boston, MA, 1994

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:18:19.997494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T23:18:19.542970Z digest=sha256:6164df1f6f1ea85b335638091bf3e020ae70f33c3873d1a37b11e3720113735f

Pith citing papers

No inbound Pith citation observations are available.