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Paper Citation Record · LEDGER

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule

As of 17 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.163828Z digest=sha256:c688b60ab9e6b4fe48803bfe99ecb8c7d7007521771d8524f98b2705c43d4d92

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.169033Z digest=sha256:e4a103852738d78bcc01cfb654eba7a6860b5c647766da3a448fdf4d6a86202c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.173094Z digest=sha256:ba8467bf6f3c2c37de1fe6f7b5d48ae07c280cca4d3393a633ebecd21c152f14

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.177393Z digest=sha256:06c5a287c716d13f13ed53ca17134dff0d69a272be7fd8908b613b7c5a002b3b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.181258Z digest=sha256:1e477605883e1c4405144cd6a2f84c754c816cdd20aa504a9b7771305d0050a6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.184894Z digest=sha256:3b37188b576cf46332df65e217e1634df9994d405d1a5bb78ed5efcde100543f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.188468Z digest=sha256:4764a6c86257a194f7ff87c5c18d24cdeb13a12929ba6670768ea3a537228db4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.191696Z digest=sha256:f9a0f1aa0a1589569ba4112d0c2410dcd81052e708e11381247a0ca4bd48976a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.195046Z digest=sha256:09d8142239021b11ba3d05d45a244638f7f448c1654efe961aa4d63e321947ef

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:d66a5e09b7977a614a0991aa68c112b3bbaf2ea739509063d0fc3b61a47bc145

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.201550Z digest=sha256:5e4e840d1d0ef0497c7ec17b6cb1cdd6040e1cc1b2490b734276597ca513fcb1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.204728Z digest=sha256:b9d4920762b1fb0369e412abc4689463ddd828da1d2f6c4b6e998a504ca30234

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.208718Z digest=sha256:01aa475b1d6e87019b0ef2a32e476706226546863e527c3d89ae028808ba5db9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:57:36.211992Z digest=sha256:233aff26a2373bc6a0f07fba494606b4dc34b76c8eb03f6d2edf4cc2f1e85ed1

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:d622be986ce19ae591d16036845dc55279a3b802be0a343cf7978d4eba58cce5