Paper Citation Record · LEDGER

Black-white polynomials of graphs and generating functions

As of 12 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2604.10719.

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

pith.paper-citation-record.v1
2604.10719 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T16:04:53.681921Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T21:16:23.456229Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy12
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a40e9182-37cb-4171-9006-00d9b26aac0d · outbound

This paper cites An Efficient Algorithm to Recognize Locally Equivalent Graphs in Non-Binary Case.

Black-white polynomials of graphs and generating functions An Efficient Algorithm to Recognize Locally Equivalent Graphs in Non-Binary Case

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-04T15:02:31.288593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2143bb92-1780-4cd3-9f5b-5a01de47254e · outbound

This paper cites 1, 19–26.

Black-white polynomials of graphs and generating functions 1, 19–26

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.887724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2680fc69-c173-4d54-b1e7-318e004a0f23 · outbound

This paper cites 3, 030313.

Black-white polynomials of graphs and generating functions 3, 030313

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.875516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ec13cb70-820b-4676-b503-9ad807ac29c5 · outbound

This paper cites Reidel Publishing Co., Dordrecht, 1974, The art of ﬁnite and inﬁnite expansions.

Black-white polynomials of graphs and generating functions Reidel Publishing Co., Dordrecht, 1974, The art of ﬁnite and inﬁnite expansions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.896681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3356ad3f-f0e8-4161-a51e-dd3cc8391a28 · outbound

This paper cites 7, 1351–1367.

Black-white polynomials of graphs and generating functions 7, 1351–1367

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.861447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 84cac5fb-f2a7-42ee-91a2-b26e1762e5a9 · outbound

This paper cites Gunnells, Hypergraph matrix models , Mosc.

Black-white polynomials of graphs and generating functions Gunnells, Hypergraph matrix models , Mosc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.879478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b21f0b49-a4b2-49aa-8fd7-3afd869494a5 · outbound

This paper cites an unresolved cited work.

Black-white polynomials of graphs and generating functions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-17T17:04:59.899129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e9efefab-ae12-40e9-8c3f-53ad48128c2a · outbound

This paper cites an unresolved cited work.

Black-white polynomials of graphs and generating functions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-17T17:04:59.870250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1190f432-ec59-437a-8e90-989f755e01c3 · outbound

This paper cites Etingof, Mathematical ideas and notions of quantum ﬁeld theory , available from www-math.mit.edu/∼ etingof/.

Black-white polynomials of graphs and generating functions Etingof, Mathematical ideas and notions of quantum ﬁeld theory , available from www-math.mit.edu/∼ etingof/

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.867687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 56ce2007-6a38-427c-98f1-6a4e83d8f9ec · outbound

This paper cites MR 2483235.

Black-white polynomials of graphs and generating functions MR 2483235

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.893759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2312532c-dd9c-4dd0-8c38-8d6cf25c105d · outbound

This paper cites Knuth, Tomasz /suppress Luczak, and Boris Pittel, The birth of the giant component, Random Structures Algorithms 4 (1993), no.

Black-white polynomials of graphs and generating functions Knuth, Tomasz /suppress Luczak, and Boris Pittel, The birth of the giant component, Random Structures Algorithms 4 (1993), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.858365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0adc6530-630f-4622-a400-186cf2935ba8 · outbound

This paper cites Quantum Inform ation Processing-From Theory to Experiment 199 (2006), 137–158.

Black-white polynomials of graphs and generating functions Quantum Inform ation Processing-From Theory to Experiment 199 (2006), 137–158

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.891058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bce3e26f-5340-4c0f-a367-84db6c1025fb · outbound

This paper cites 33, 335303.

Black-white polynomials of graphs and generating functions 33, 335303

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.872985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f14f99c5-98d4-41d5-a966-0adc0026a507 · outbound

This paper cites Stanley, Enumerative combinatorics.

Black-white polynomials of graphs and generating functions Stanley, Enumerative combinatorics

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.884869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 896128c7-41a0-4b5d-97c1-83a729154afb · outbound

This paper cites Gunnells, Tim Coopmans, and Jordi Tura, Sec- tor length distributions of recursively deﬁnable graph sta tes through analytic combinatorics , preprint.

Black-white polynomials of graphs and generating functions Gunnells, Tim Coopmans, and Jordi Tura, Sec- tor length distributions of recursively deﬁnable graph sta tes through analytic combinatorics , preprint

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T17:04:59.864627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b297b861-a4f9-4222-8b03-7bbfbcfc0a05 · outbound

This paper cites an unresolved cited work.

Black-white polynomials of graphs and generating functions Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-17T17:04:59.882109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation c7c81662-49fa-476c-b4a5-de37bb9d0027 · inbound

Detecting entanglement from few partial transpose moments and their decay via weight enumerators cites this paper.

Detecting entanglement from few partial transpose moments and their decay via weight enumerators Black-white polynomials of graphs and generating functions

Reference 92

Resolution: unresolved; no resolver link, observed 2026-07-12T21:16:23.456229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.