Paper Citation Record · LEDGER

Metrics on Permutation Families Defined by a Restriction Graph

As of 18 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2507.10569.

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

pith.paper-citation-record.v1
2507.10569 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:17:38.827135Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:19:09.843807Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-16T10:19:10.087319Z

Reference resolution

10 of 10 outbound references displayed

verified exact0
verified fuzzy7
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 55220c3c-254d-4c98-8070-2866aebafccb · outbound

This paper cites Harris, Erik Insko, and Darleen Perez-Lavin,Peak sets of classical Coxeter groups, Involve 10 (2017), no.

Metrics on Permutation Families Defined by a Restriction Graph Harris, Erik Insko, and Darleen Perez-Lavin,Peak sets of classical Coxeter groups, Involve 10 (2017), no

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:17:38.923139Z

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 4e92f7e9-136d-4494-bad6-2053ab4befa3 · outbound

This paper cites Undergrad.

Metrics on Permutation Families Defined by a Restriction Graph Undergrad

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:17:38.915603Z

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 3e6751e3-6435-48a0-a1e8-337b57feb599 · outbound

This paper cites 5, 889–904.

Metrics on Permutation Families Defined by a Restriction Graph 5, 889–904

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:17:38.908010Z

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 6f792267-e462-408b-a830-d921423594c2 · outbound

This paper cites an unresolved cited work.

Metrics on Permutation Families Defined by a Restriction Graph Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:17:38.899930Z

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 be5550f2-3181-4c3e-9160-d5822640d811 · outbound

This paper cites an unresolved cited work.

Metrics on Permutation Families Defined by a Restriction Graph Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:17:38.891492Z

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 53332e3c-3bc4-4535-8269-1bf6ddf7f493 · outbound

This paper cites an unresolved cited work.

Metrics on Permutation Families Defined by a Restriction Graph Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:17:38.882244Z

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 147697a6-4f36-4165-9022-66c9b68be7fa · outbound

This paper cites Knuth,The Art of Computer Programming, Volume 3: Sorting and Searching, 2nd ed., Addison-Wesley Professional, Reading, MA, 1998.

Metrics on Permutation Families Defined by a Restriction Graph Knuth,The Art of Computer Programming, Volume 3: Sorting and Searching, 2nd ed., Addison-Wesley Professional, Reading, MA, 1998

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:17:38.874394Z

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 41b32051-ca52-47d9-8a69-f99a0eaa3f8d · outbound

This paper cites MacMahon,The indices of permutations and the derivation therefrom of functions of a single variable associated with the permutations of any assemblage of objects, Amer.

Metrics on Permutation Families Defined by a Restriction Graph MacMahon,The indices of permutations and the derivation therefrom of functions of a single variable associated with the permutations of any assemblage of objects, Amer

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:17:38.865875Z

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 d215b7e4-2ed8-4367-ac57-ccda4d2e1b15 · outbound

This paper cites Stanley,Enumerative Combinatorics, Volume 1, 2nd ed., Cambridge Studies in Advanced Mathematics, vol.

Metrics on Permutation Families Defined by a Restriction Graph Stanley,Enumerative Combinatorics, Volume 1, 2nd ed., Cambridge Studies in Advanced Mathematics, vol

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:17:38.857890Z

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 c9ae942e-3820-406f-a2fe-1ff217ec362f · outbound

This paper cites Trotter,Combinatorics and Partially Ordered Sets: Dimension Theory, Johns Hopkins Series in the Mathematical Sciences, Johns Hopkins University Press, Baltimore, MD, 1992.

Metrics on Permutation Families Defined by a Restriction Graph Trotter,Combinatorics and Partially Ordered Sets: Dimension Theory, Johns Hopkins Series in the Mathematical Sciences, Johns Hopkins University Press, Baltimore, MD, 1992

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:17:38.849202Z

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 e96268de-d9ff-4634-866f-3a37f5fc5381 · inbound

Black hole mimickers as relativistic stars calculated from the Tolman-Oppenheimer-Volkoff equations cites this paper.

Black hole mimickers as relativistic stars calculated from the Tolman-Oppenheimer-Volkoff equations Metrics on Permutation Families Defined by a Restriction Graph

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:19:10.093944Z

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.