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Paper Citation Record · LEDGER

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

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.019612Z digest=sha256:fdd6baecd6a491b2c269d23995c267caf4cbba2d604e9913923d982f0c88622e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.060375Z digest=sha256:96544d6ee581c9b433433618969c17fd6cd996f62f2dceec95367869dbbbef24

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.114495Z digest=sha256:ba4392f88c9bbc3cf00c5b5092ce74732db1140fe0222c0be992f57b0147c68f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.170160Z digest=sha256:39be2f457590e529fbd6d5e68fa0f898e3228615a5dda2ae125058aca0ba6fff

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.224745Z digest=sha256:b18b6247bf2c44047682b296bb98e93ca1dd759aa0ef31ba206e2239bd92f49d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.274134Z digest=sha256:285ab6da834c6e322aec3bcdfab44524f9c91381f53a958caea365e909ce2fe7

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.355690Z digest=sha256:55378ca8e48f61a66d5823ed4a0154e5654a988db02ae7d6923fd702b97c0177

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.423745Z digest=sha256:e97b879e3ddbfaae593bfeebb1e88e2177ef7489da6d0de0c13e9b5009823598

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.523652Z digest=sha256:465d40d719381dfdc6048b3b65e97a5657c178329f596275e6f9d33b4b1d37af

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.621780Z digest=sha256:2fd3d13b3eaa2ccd35948bb4cc02543d7de5e38e97fd0a60273cec272ea25085

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.723383Z digest=sha256:5cd879d35e7a5707d6106caeba18fd2a7bec710b0826e1e61fdeb148f9d50467

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.842721Z digest=sha256:830f30c9b718ca9ef3ab30f5d0df49a537ac9b17b747d1557505308b3740cc4b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T12:38:30.964097Z digest=sha256:7bd2460737f24d45b14c3e142ce61e184b804b14b483855ee38f533eb2151292

Pith citing papers

No inbound Pith citation observations are available.