Paper Citation Record · LEDGER

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2510.03116.

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

pith.paper-citation-record.v1
2510.03116 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T12:38:54.348482Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

15 of 15 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 67847dc4-b8bb-425d-8743-9187bbcd521d · outbound

This paper cites Birkhoff.Lattice Theory, volume 25 ofAmerican Mathematical Society colloquium publications.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Birkhoff.Lattice Theory, volume 25 ofAmerican Mathematical Society colloquium publications

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:52.313694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efeb88cc-2357-4b59-85be-5f4a27f79fa5 · outbound

This paper cites an unresolved cited work.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:52.365688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 214c60be-3412-4565-b962-9f2565c92e1f · outbound

This paper cites E˘ gecio˘ glu and J.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ E˘ gecio˘ glu and J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:52.473861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76e2fea0-40c8-4335-b866-794a4b3c05d6 · outbound

This paper cites an unresolved cited work.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:52.604512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c06fb528-aad8-481f-b1ca-e6b4fbef83af · outbound

This paper cites Gr¨ atzer.Lattice theory: Foundation, volume 2.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Gr¨ atzer.Lattice theory: Foundation, volume 2

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:52.772946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa740d29-b830-4c18-a5ad-f501fce874cb · outbound

This paper cites an unresolved cited work.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:52.939084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8e32eb8-060c-4bf6-9c76-25e8a50db3b8 · outbound

This paper cites Strongly nice property and Schur positivity of graphs.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Strongly nice property and Schur positivity of graphs

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:53.057333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7120b0f7-f2fa-46b4-bb90-bbc6554470a2 · outbound

This paper cites Stanley's conjecture on the Schur positivity of distributive lattices.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Stanley's conjecture on the Schur positivity of distributive lattices

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:53.264237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58db0a12-9bf7-4c32-9c5c-a1e5664b7e72 · outbound

This paper cites Lonc and M.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Lonc and M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:53.411004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cc99317-1669-4158-8157-ff04d77f6734 · outbound

This paper cites an unresolved cited work.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:53.610221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef12b7dd-9974-4d70-b0e5-cb06a1ef4a25 · outbound

This paper cites an unresolved cited work.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:53.777309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 507b8d1a-0505-467d-965a-c43a49934051 · outbound

This paper cites an unresolved cited work.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:53.947686Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ded67c06-9631-4c57-9552-7c409fde9db8 · outbound

This paper cites an unresolved cited work.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:54.083698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ec3baed-6525-473e-b225-db7831b8dbee · outbound

This paper cites an unresolved cited work.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:54.214693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7eb620e-67f9-4671-8012-4e553dcdcfdb · outbound

This paper cites an unresolved cited work.

Exact thresholds for Schur positivity of the lattices $\mathbf m\times\mathbf 2$ and $\mathbf m\times\mathbf 3$ Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:54.348482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.