Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T17:40:31.281821Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2501.12055.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T17:40:31.281821Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
27 of 27 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f3903a76-3078-45ed-b1d4-8ef66e3e3550 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Athanasiadis, Gamma-positivity in combinatorics and geometr y, S´ em
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5449192c-e756-436f-8e07-5a5bfadfc1e1 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Athanasiadis, Binomial Eulerian polynomials for colored permut ations, J
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5f24dffe-818e-4b96-937a-5d2895103eaa · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Br¨ and´ en, Actions on permutations and unimodality of desce nt polynomials, European J
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cccc381c-e120-46ca-b6e9-45f8a0b757a1 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Br¨ and´ en, Unimodality, log-concavity, real-rootedness and beyond, Handbook of Enumerative Combinatorics , CRC Press Book
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7cefacd3-93f8-4cb3-918e-e806b81330a4 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Br¨ and´ en and L
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 784fd043-03b7-46ce-9ff1-1330907114ab · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 96e16997-6647-46f6-a38b-68739148293b · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Chen, A.M
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 27f2583a-e32a-4b34-803c-21a79f55d8dc · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Chow, On certain combinatorial expansions of the Eulerian p olynomials, Adv
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2cdff7c4-28b6-4d41-8fb8-3d82b5790142 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Colored Multiset Eulerian Polynomials
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b31ad40-7f34-482b-88e8-3c6648dc6a07 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Foata and M.P
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 414397c0-8b29-482c-8f3f-36410b23be01 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Foata and V
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e3b87149-ab9b-49d2-873a-3ad4b5f4d2dd · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Fu and J
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c383be07-3632-4da1-aa75-c2865e041390 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Gessel and R
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bf14add6-aba9-4039-817d-ff6cf2eef43a · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Han, Gamma-positivity of derangement polynomials and binomia l Eulerian polynomials for colored permutations, J
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 89046e36-e611-46f3-90b1-baf684d3be96 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Ji and Z
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6d656777-e318-4ff9-9318-ffe0a2e4b725 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9658662b-fb91-4d74-8e35-4cf73b089ea8 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c5baddb6-e95f-4a99-8836-53b9bea2de7d · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 57431905-3ec8-43d2-a300-c184057f1124 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Lin and J
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 395c8a6c-a7ff-40ce-a678-c3ac3faf1585 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Liu, Statistics on trapezoidal words and k-inversion sequences, Discrete Appl
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a0076619-f606-4e6d-ba56-f11bf3adab56 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Ma and K
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7a32e94c-4782-48c4-bb3a-a7fe993d07ee · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 42f23287-4c04-4172-b6d0-92f6f062fb32 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a8122bd9-7fa8-4120-bbb6-de00539f9ac1 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Ma and T
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ded6d3ed-49e0-4521-a7dc-9ed46eeefe9c · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Savage, The mathematics of lecture hall partitions, J
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4ff73352-5ac5-4156-b68e-f27aaec437cc · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Savage and G
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation afb19b78-e617-40a9-baff-3b0881a622e9 · outbound
Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
No inbound Pith citation observations are available.