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Paper Citation Record · LEDGER

Black-white polynomials of graphs and generating functions

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:a6bc070ca3acd099d97036f71d893dca119fbd36f37441c4917c9dd441bf84cd

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:5c5a2771d03d2c8473120354227968293a8d0e8f381990e52882a545e7d48304

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:3d475caff6c33edfe9d66e15a7fdd50bdc6d9572e87eb2775dcdad4d452694e0

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:1c6bcde0713d6b56cf5de2bd86b4ade1898d40465ee733a456b9b53c412a1115

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:f3ed5d003e7754ea286b27371b06e616167769a811d0b6a7c58daf399aa723f2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:84066f58fc869170eda1597a244fb71a27c9bc33630f0569b250b8bf5f616ab2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:82eeeac1cb258f8f4f787b208685667c858f090015598ca246d2e235d1cf03ad

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:353c4cf2eef78e73fe4d9a8c42090f6fe06c03dadec1d333ea9050b856f93428

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:2674efc344e9b4ebb23132e237c4339bc8b537178e02afee33e7744eaf825c74

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:9a2474cfb76c85337b090db64b959a14d2b5e609203d10cadd415aafab9d09ee

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:c3ecc1c431035bed9e3328ad43dcc868000610223bee0a85574d98b7e9e409d9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:5950f5232e1f0dec52cdc8a48a2c8fb1bc05791ccf00e1ca0ed3820b39e84baa

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:f0a93ceab2be34ab3bd436abc63d6397e651fe2d0c2b1e7ff88631b3faa5ebd4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:c4b4ca1040aca0f80d96cd1add0bb57624c37398eae5695de92fcb73897086aa

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:5070c2e83066b9f1d3bc65d41752be8e81fae381f0f723fe7cdc884c2e87d486

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T16:04:53.681921Z digest=sha256:98cfef01b63f4c3fd67f3af2f608da65b073e1d1b5be1315cdcd8892d633646f

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.

source=pdf_text observed=2026-07-12T21:16:23.456229Z digest=sha256:7013945444ba725544d5984a9fa5d24fbe55cb32b5bba04ed3fc777540f9ca5d