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Paper Citation Record · LEDGER

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule

As of 24 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2509.16872.

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

pith.paper-citation-record.v1
2509.16872 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:57:36.211992Z

measured 15 of 15 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:33:22.046991Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 071dd545-9a96-45c1-802f-c36dcf1084c1 · outbound

This paper cites On sequences associated to the invariant theory of rank two simple Lie algebras.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule On sequences associated to the invariant theory of rank two simple Lie algebras

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:57:36.372653Z

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=pdf_text observed=2026-08-15T15:57:36.163828Z digest=sha256:8239af33863ecf67ac5d55db4a43bbb8c3658a0942f7969a821107e3ba53d12d

Observation a27ebb4c-2547-4c24-acfe-e76de3c94e9b · outbound

This paper cites On s ome combinatorial sequences associated to invariant theory.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule On s ome combinatorial sequences associated to invariant theory

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.490426Z

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=pdf_text observed=2026-08-15T15:57:36.169033Z digest=sha256:d056f66a795ec1ef9c5846b5beae4c5bc9e54599b29f74948491281627330c28

Observation 008356cd-9a6a-432e-8715-5c6e6337a119 · outbound

This paper cites On signed multiplicities of schur expansions surrounding petrie symmetric func tions.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule On signed multiplicities of schur expansions surrounding petrie symmetric func tions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.480211Z

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=pdf_text observed=2026-08-15T15:57:36.173094Z digest=sha256:87a53fc3e3a17116fc4835757f02ae070a6e4ac273e5085a1eead134fd355424

Observation 416a4476-6233-4382-ae63-15a5751f998f · outbound

This paper cites D´ esarm´ enien J., Leclerc B.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule D´ esarm´ enien J., Leclerc B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.468727Z

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=pdf_text observed=2026-08-15T15:57:36.177393Z digest=sha256:fbb40b35c0d083adfb8873059b307ca0190086e6ae892f6f6961e55a8ef09bdd

Observation d5b3095b-221c-4ebf-a3c1-fb16d59cabf9 · outbound

This paper cites Truncated homogeneous symme tric functions.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule Truncated homogeneous symme tric functions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.458904Z

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=pdf_text observed=2026-08-15T15:57:36.181258Z digest=sha256:362826af91866fffc7d2832722b391829126ef3cbcde76014b0057bf134e5d44

Observation ac0301be-651b-4404-be1d-81d1a808c58d · outbound

This paper cites Wilkinson.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule Wilkinson

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.449179Z

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=pdf_text observed=2026-08-15T15:57:36.184894Z digest=sha256:ee5f7141fd5dc7b45ce9cd935710a348185ba1f5128123b877c02e2c8710420e

Observation 60f95d07-79dc-4138-8969-5aff3690f251 · outbound

This paper cites Petrie symmetric functions.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule Petrie symmetric functions

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.439554Z

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=pdf_text observed=2026-08-15T15:57:36.188468Z digest=sha256:028473568c408ae461d94675438357783d799a94050a25503bb0fba8eb21c23b

Observation 2e84b8d8-aacf-4822-8bc9-b0e13cecbe10 · outbound

This paper cites On a pieri-like rule for the pet rie symmetric functions.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule On a pieri-like rule for the pet rie symmetric functions

Reference 8

Resolution
verified exact
raw_fallback, observed 2026-08-15T15:57:36.358839Z

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=pdf_text observed=2026-08-15T15:57:36.191696Z digest=sha256:ffa61ee16f2ea59c2023ef0697da49301cd7948f18a8aa88769924258cb32223

Observation aed0d6b0-7dee-4bcf-baa9-b0121950e693 · outbound

This paper cites On the cohomology of line bundles over certain flag schemes ii.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule On the cohomology of line bundles over certain flag schemes ii

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.429524Z

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=pdf_text observed=2026-08-15T15:57:36.195046Z digest=sha256:ee3e47872281e6defcda3f18d971eb535b18071ffcaa38a15af360fc45c570d2

Observation 69df16f8-8d61-4048-a44d-672ff788df25 · outbound

This paper cites Macdonald.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule Macdonald

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T15:57:36.198231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:57:36.198231Z digest=sha256:5ac940c407d3ff95ca7e5d247c37f3014407c11b4800c90f86d03b70a23c901b

Observation 3d478f2f-54e5-4e78-a364-0ee709c84664 · outbound

This paper cites The On-Line Encyclopedia of Integer Seq uences, 2025.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule The On-Line Encyclopedia of Integer Seq uences, 2025

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.412919Z

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=pdf_text observed=2026-08-15T15:57:36.201550Z digest=sha256:24b80646c6325772820ac7812a584e0730b954842669cad48843499fb7c5484b

Observation b7847ab2-8718-4ff3-b206-31aa21441b07 · outbound

This paper cites Proof of the plethystic Murnaghan-Nakayama r ule using Loehr’s labelled abacus.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule Proof of the plethystic Murnaghan-Nakayama r ule using Loehr’s labelled abacus

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.402699Z

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=pdf_text observed=2026-08-15T15:57:36.204728Z digest=sha256:dfa439b7508e5c44a90f09ee4588d647609d8be3974434e61289e6397fd9bfaa

Observation dbdff3ba-18fe-4d8d-aa9f-5003ae336d45 · outbound

This paper cites Modular schur functions.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule Modular schur functions

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.392829Z

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=pdf_text observed=2026-08-15T15:57:36.208718Z digest=sha256:4f0860272357940880e4ffa8ecfa7228dc3d371131120cbac751e21722ec705d

Observation 0dce7d0b-445b-47d1-9e2c-b2495aab1649 · outbound

This paper cites A combinatorial proof of a plethystic Murnaghan-N akayama rule.

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule A combinatorial proof of a plethystic Murnaghan-N akayama rule

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:57:36.382946Z

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=pdf_text observed=2026-08-15T15:57:36.211992Z digest=sha256:e78d2f49acdc46fa4eb7a3c26bda14f51cd7be9443b2d7573d89db7e5e025772

Pith citing papers

Observation 0370065b-7ad3-4158-a0c4-77965f558ebd · inbound

A skew Murnaghan--Nakayama rule for Hopf dual pairs cites this paper.

A skew Murnaghan--Nakayama rule for Hopf dual pairs Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-02T11:33:22.046991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T11:33:22.046991Z digest=sha256:54b9bb4a2d35d9439591a8dd111786e219a0bb2fec9bafeea4655289bff89274