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Paper Citation Record · LEDGER

Hilbert polynomials of configuration spaces over graphs of circumference at most 1

As of 8 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2505.24416.

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

pith.paper-citation-record.v1
2505.24416 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:38:30.964097Z

measured 13 of 13 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

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2576a6e9-08cc-4114-accd-dd1f4d09d49d · outbound

This paper cites Configuration spaces and braid groups of graphs.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Configuration spaces and braid groups of graphs

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:37.276400Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.019612Z digest=sha256:9e597fea465d2e541195aafb7702b957c56601ea9fdfcbc92a7abe0ed58f629d

Observation 07cc7610-e098-413f-8621-d0befd8d0db1 · outbound

This paper cites Drummond-Cole, and Ben Knudsen.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Drummond-Cole, and Ben Knudsen

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:36.954403Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.060375Z digest=sha256:4a28137e1d2b6cacb054dba1149ca9fd6fbde7d25fa447942e44a3131fc6e7b9

Observation 786fd710-4585-4393-8049-8529143db338 · outbound

This paper cites Drummond-Cole, and Ben Knudsen.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Drummond-Cole, and Ben Knudsen

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:34.049181Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.114495Z digest=sha256:fe6fea5d68f9ae8be9dbc3d93ef54be1070fa7246e4d8244cd6ea8796ff9ee5a

Observation 313ef44a-93f1-4c34-bf61-6a3218364b85 · outbound

This paper cites Drummond-Cole, and Ben Knudsen.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Drummond-Cole, and Ben Knudsen

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:33.644548Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.170160Z digest=sha256:1c1ced8dba40be266ef6ef67071989163f5ac417fd24c63511f27adecc3965b5

Observation bdd0c38e-5c73-48d7-87ea-17ae254fa68b · outbound

This paper cites On the second homology of planar graph braid groups.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 On the second homology of planar graph braid groups

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:33.405245Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.224745Z digest=sha256:415275721f46444f5073ffc8db1a1ea45149a2a7d8689a79418ac469d8098cb7

Observation 95c88872-6403-4898-ba56-f3bfe363ecb5 · outbound

This paper cites Betti numbers of unordered configuration spaces of small graphs.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Betti numbers of unordered configuration spaces of small graphs

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:38:31.217881Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.274134Z digest=sha256:e486fcb50eb605160d70a8147b3283e38e848475335d8186fcaac7a657c5fbed

Observation 47931fe1-ca51-40ff-a8db-fe806a2a0b7b · outbound

This paper cites Discrete M orse theory and graph braid groups.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Discrete M orse theory and graph braid groups

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:33.122756Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.355690Z digest=sha256:774c141dbe783ed03462f2cd65e8ef5484a7469f382d4008431e940ef28adb11

Observation 432ce039-c86a-4a7b-b977-5686adf311b4 · outbound

This paper cites On the cohomology rings of tree braid groups.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 On the cohomology rings of tree braid groups

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:32.869254Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.423745Z digest=sha256:e6e690d34a9f75cb1fd4cbac7b9d12774f76fa99ad3d969d91fce67f64d9bfe9

Observation 0f00d619-227d-4bbe-a9fa-d9a20dffbd49 · outbound

This paper cites Configuration spaces and braid groups on graphs in robotics.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Configuration spaces and braid groups on graphs in robotics

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:32.612666Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.523652Z digest=sha256:e384e1416840ecf864434c385a6f0e69a15fbcf83ee0078a564f85a3903c9d2d

Observation fa43fb53-c72c-4bf0-8461-3979285e8428 · outbound

This paper cites Graph braid groups and right-angled A rtin groups.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Graph braid groups and right-angled A rtin groups

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:32.317710Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.621780Z digest=sha256:89964b494518a3faa0090f8ebb8c67f3fe82c965c1349c200274aa4fef00462f

Observation be75c2de-a0a8-441e-9836-665801226c40 · outbound

This paper cites Graph 4-braid groups and M assey products.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Graph 4-braid groups and M assey products

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:32.065128Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.723383Z digest=sha256:403d87aa6a6ce926d9324565c9a84155491f3f81beef80a73e5dd22345f3b38e

Observation 67bb2498-7710-4413-81ab-eebe0874e55a · outbound

This paper cites Characteristics of graph braid groups.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 Characteristics of graph braid groups

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:31.786479Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.842721Z digest=sha256:cfb10fcb9fac416eb246bb61e3852995837151fcc5c1d6205823c4e280609a03

Observation b3caa0cc-ef34-42d7-a9bd-8ef24f57133d · outbound

This paper cites On rigidity and the isomorphism problem for tree braid groups.

Hilbert polynomials of configuration spaces over graphs of circumference at most 1 On rigidity and the isomorphism problem for tree braid groups

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:38:31.491649Z

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.

source=arxiv_source observed=2026-08-07T12:38:30.964097Z digest=sha256:45d56e28e57acc24821cad2e1a63d16922bd1cb6e4285c6ca2d7d8c35662e12c

Pith citing papers

No inbound Pith citation observations are available.