Pith. sign in

Paper Citation Record · LEDGER

The stability of independence polynomials of complete bipartite graphs

As of 22 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2505.24381.

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

pith.paper-citation-record.v1
2505.24381 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:40:48.161797Z

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 exact0
  • verified fuzzy13
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f4b321aa-9318-4df0-ac9f-e7db53da9467 · outbound

This paper cites Brown, B.

The stability of independence polynomials of complete bipartite graphs Brown, B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:50.691037Z

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=pdf_text observed=2026-08-07T12:40:46.631508Z digest=sha256:e9996d3281f90702b2555dca97f81479c09cb8e65463319cc7912595ecc5c1ad

Observation b1557f3b-1ef3-41e2-95a4-325e98c2fa5b · outbound

This paper cites Brown, K.

The stability of independence polynomials of complete bipartite graphs Brown, K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:50.544325Z

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=pdf_text observed=2026-08-07T12:40:46.697553Z digest=sha256:7a5b3d28b6120554b9814bc9e89165ac89047b9c5fbf2ae5058a57351a4d7287

Observation b3bf8031-023b-4288-b6e6-1a1e33562d8b · outbound

This paper cites Brown, C.A.

The stability of independence polynomials of complete bipartite graphs Brown, C.A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:50.409753Z

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=pdf_text observed=2026-08-07T12:40:46.824926Z digest=sha256:b7276b74fff8f3b2587e7eca63a07a991d05cb1fdf24141e87ce4b80c14a615c

Observation 3b40cee7-b6db-4e3f-ac20-26c009d242dd · outbound

This paper cites Brown, R.J.

The stability of independence polynomials of complete bipartite graphs Brown, R.J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:50.234205Z

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=pdf_text observed=2026-08-07T12:40:46.917517Z digest=sha256:17aa3351796cfacffb200a57eb56977fe806a71c2193e9400e947e6b552bc60c

Observation 552dfe70-db76-4f38-882c-816da098e9bf · outbound

This paper cites Choe, J.G.

The stability of independence polynomials of complete bipartite graphs Choe, J.G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:50.076887Z

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=pdf_text observed=2026-08-07T12:40:47.087022Z digest=sha256:798459b2cae758ac853052efa3c70617aa7b10d78aaaf6d3a335567e651d65fa

Observation 85aee15c-c986-4336-9ccc-554888641902 · outbound

This paper cites Chudnovsky, P.

The stability of independence polynomials of complete bipartite graphs Chudnovsky, P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:49.870154Z

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=pdf_text observed=2026-08-07T12:40:47.179411Z digest=sha256:3b16b3665cf82cc6f583668e4e6b5504f7ffff4abb010c3dd445740bd6fb1850

Observation 84b964f4-d271-4aa4-94f9-a4bb13cc82e1 · outbound

This paper cites Csikv´ ari, Note on the smallest root of the independence polynomial, Combin.

The stability of independence polynomials of complete bipartite graphs Csikv´ ari, Note on the smallest root of the independence polynomial, Combin

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:49.664244Z

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=pdf_text observed=2026-08-07T12:40:47.322601Z digest=sha256:0da02f8991d3b9ff259d8fb8b67eaef61e76cae968ef54a01c4ad58ebefed167

Observation 83db61c2-c917-4fc1-b98c-da8c6730b027 · outbound

This paper cites Fisher, Complex Variables, 2nd ed.

The stability of independence polynomials of complete bipartite graphs Fisher, Complex Variables, 2nd ed

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:49.511113Z

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=pdf_text observed=2026-08-07T12:40:47.451139Z digest=sha256:28e70d12bbceb90675d8e2b2b53d195bf3881d2eb839c267f408cc1feff902fe

Observation 0084650b-b1ed-440a-900f-a506b08ece93 · outbound

This paper cites Gutman, F.

The stability of independence polynomials of complete bipartite graphs Gutman, F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:49.366760Z

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=pdf_text observed=2026-08-07T12:40:47.593300Z digest=sha256:2e5cdc1f9f94397090a7fcf3b96a3dab9f9a54da2645271b6f672a5235183cf4

Observation 33f2fa2c-dc10-49e8-845d-435ae14dc489 · outbound

This paper cites Levit, E.

The stability of independence polynomials of complete bipartite graphs Levit, E

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:49.156117Z

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=pdf_text observed=2026-08-07T12:40:47.701890Z digest=sha256:fd57f53ea2d22aef951d1736f46e546c28683a9be47ec79c6f89aa532c700737

Observation dc7f7457-50df-457a-8f5c-f2c4261b38e6 · outbound

This paper cites Wang, B.-X.

The stability of independence polynomials of complete bipartite graphs Wang, B.-X

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:48.981091Z

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=pdf_text observed=2026-08-07T12:40:47.876213Z digest=sha256:764b5b6a1fd50bf7a4419c5154eea80e1b369c47d9048db07b38957b60551a26

Observation 5f589b07-3a8b-4e3d-966d-fda2a2008339 · outbound

This paper cites Zhang, X.

The stability of independence polynomials of complete bipartite graphs Zhang, X

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:48.753228Z

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=pdf_text observed=2026-08-07T12:40:48.045289Z digest=sha256:ff841b2a33de758da4a2062ea19292b78fb402af784cd33f62018980b1243ca8

Observation 0e8d120c-2aaa-47b6-86b8-91c390df080f · outbound

This paper cites Zhu, Unimodality of independence polynomials of the incidence product of graphs, Discrete Math.

The stability of independence polynomials of complete bipartite graphs Zhu, Unimodality of independence polynomials of the incidence product of graphs, Discrete Math

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:40:48.430694Z

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=pdf_text observed=2026-08-07T12:40:48.161797Z digest=sha256:5f7f464d84b55f5950cd8c072b0cfda66a3dd9376da7fb3f9d6532971e6d42bb

Pith citing papers

No inbound Pith citation observations are available.