Paper Citation Record · LEDGER

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.00380.

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

pith.paper-citation-record.v1
2506.00380 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:21:12.644085Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

verified exact2
verified fuzzy25
unresolved4
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c77ce53b-4787-45f3-a217-0ee2695911ac · outbound

This paper cites Hopf monoids and generalized permutahedra.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Hopf monoids and generalized permutahedra

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:17.044496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9817cdbb-1e3e-4ddb-8d8d-4581cd04080b · outbound

This paper cites Hopf monoids and polynomial invariants of combinato- rial structures.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Hopf monoids and polynomial invariants of combinato- rial structures

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:16.908208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a4705dfb-8008-474a-b7da-9664be5911b7 · outbound

This paper cites The peak algebra and the descent algebras of types B and D.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability The peak algebra and the descent algebras of types B and D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:16.770980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 829bb147-8248-4057-adc4-4a3a3d1faace · outbound

This paper cites Combinatorial Hopf algebras and gen- eralized Dehn-Sommerville relations.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Combinatorial Hopf algebras and gen- eralized Dehn-Sommerville relations

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:16.651954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ec3d189-66ad-4206-9284-35321efa3bc0 · outbound

This paper cites Monoidal functors, species and Hopf algebras.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Monoidal functors, species and Hopf algebras

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:16.541661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 68a27b7b-2ccc-4bb3-9ad7-f25d3bcc2100 · outbound

This paper cites Topics in hyperplane arrangements.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Topics in hyperplane arrangements

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:16.424402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 686eacd6-f868-4a20-95d4-83879e9db985 · outbound

This paper cites Valuations and the Hopf Monoid of Generalized Per- mutahedra.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Valuations and the Hopf Monoid of Generalized Per- mutahedra

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T12:21:10.159985Z

Source-reported events for the cited work

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Observation 616be2af-6944-43e0-8f4b-d622e785bd5f · outbound

This paper cites The sorting order on a Coxeter group.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability The sorting order on a Coxeter group

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:16.311059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation da9f73fb-fc5d-40bb-b695-94730ddacb47 · outbound

This paper cites Convex Geometry of Building Sets.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Convex Geometry of Building Sets

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T12:21:10.289787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34b78848-074a-4d52-9bc8-3152d0bd8fda · outbound

This paper cites The cd-index: a survey.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability The cd-index: a survey

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:16.200067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 175f786f-1259-4aad-aadd-e3c662992223 · outbound

This paper cites Generalized Dehn-Sommerville relations for poly- topes, spheres, and Eulerian partially ordered sets.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Generalized Dehn-Sommerville relations for poly- topes, spheres, and Eulerian partially ordered sets

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T12:21:12.883739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8b7dbef7-57f8-4ed5-98f8-81f110e269b6 · outbound

This paper cites A new index for polytopes.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability A new index for polytopes

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:16.076217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dd9aacec-6dc6-47fe-ba45-c6b83bdb9c4f · outbound

This paper cites Bergeron, G.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Bergeron, G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:15.937396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9b918142-c8c4-4695-91f3-60114e2858a1 · outbound

This paper cites Enumeration in convex geometries and associated polytopal subdivisions of spheres.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Enumeration in convex geometries and associated polytopal subdivisions of spheres

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:15.776046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f13a5088-0c5e-40ef-bc2b-429cc895fe26 · outbound

This paper cites Peak quasisymmetric functions and Eulerian enumeration.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Peak quasisymmetric functions and Eulerian enumeration

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:15.664192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8f4d6935-990f-4073-b341-23a2a3b67105 · outbound

This paper cites On lexicographically shellable posets.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability On lexicographically shellable posets

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:15.480875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c19d38c0-75d4-4709-87c0-58d298cf3a20 · outbound

This paper cites Hopf monoids of ordered simplicial complexes.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Hopf monoids of ordered simplicial complexes

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:21:13.097396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1360db5a-e33c-4c56-a531-a70a9a4988b6 · outbound

This paper cites Meet-distributive lattices and the anti-exchange closure.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Meet-distributive lattices and the anti-exchange closure

Reference 18

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T12:21:15.303444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e7e5835e-11a3-4d1f-bafc-125e3d68b96e · outbound

This paper cites The theory of convex geometries.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability The theory of convex geometries

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:15.139940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 374eb4d8-46d0-4ef3-ad27-589b43fc4347 · outbound

This paper cites Convexity in ordered matroids and the generalized external order.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Convexity in ordered matroids and the generalized external order

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:15.002829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e98b149f-aa72-4da6-a2f0-5270ca3aceee · outbound

This paper cites Hopf Algebras in Combinatorics.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Hopf Algebras in Combinatorics

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T12:21:11.564221Z

Source-reported events for the cited work

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Observation 8e53a460-feb9-42e1-ae64-dbf7e10f822a · outbound

This paper cites The lattice of closure relations on a poset.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability The lattice of closure relations on a poset

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:14.897998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c1a59869-3506-4fd0-b961-85bb2e8a98b6 · outbound

This paper cites A signed analog of the Birkhoff transform.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability A signed analog of the Birkhoff transform

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:14.765790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 327bf500-0ccf-45f7-930c-a1917d55092a · outbound

This paper cites Structure of the peak algebra of quasisymmetric functions.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Structure of the peak algebra of quasisymmetric functions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:14.609226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2ddd1835-dc0c-47f5-9ff6-4ff24a461f43 · outbound

This paper cites Coalgebras and Bialgebras in Combinatorics.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Coalgebras and Bialgebras in Combinatorics

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:14.421550Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e97ec21f-fecf-470e-8bf9-4b5ed4d9cce1 · outbound

This paper cites Une th´ eorie combinatoire des s´ eries formelles.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Une th´ eorie combinatoire des s´ eries formelles

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:14.256769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 34e32c73-0fd6-429c-b45f-1cef4c11c382 · outbound

This paper cites Lecture Notes on Algebraic Combinatorics.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Lecture Notes on Algebraic Combinatorics

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:14.100108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1e57a30c-3f9b-4232-9b5d-9d016d76c348 · outbound

This paper cites EL-labelings, supersolvability and 0-Hecke algebra actions on posets.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability EL-labelings, supersolvability and 0-Hecke algebra actions on posets

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:13.922648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4d856b2d-08f1-43be-9e7b-fc6c61c15aba · outbound

This paper cites A chromatic-like polynomial for ordered sets.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability A chromatic-like polynomial for ordered sets

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:13.738451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 52e80fbc-4187-48ea-8425-cd664be5363e · outbound

This paper cites Supersolvable lattices.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Supersolvable lattices

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:13.572386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ca8250cb-a41c-4a30-b8fe-c839b721676c · outbound

This paper cites Enriched P -partitions.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Enriched P -partitions

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:21:13.434106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e6de3672-ea21-4a0d-9490-478c3fd98510 · outbound

This paper cites an unresolved cited work.

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:21:13.264400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

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