Pith. sign in

Paper Citation Record · LEDGER

On $k$-colorability of $(bull, H)$-free graphs

As of 19 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2509.01698.

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

pith.paper-citation-record.v1
2509.01698 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:31:08.592609Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T20:46:12.801546Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 776e6556-47d9-4e85-bec5-01a8ae4db0bd · outbound

This paper cites Ben Rebea: Étude des stables dans les graphes quasi-adjoints (Thèse) Université de Grenoble, France (1981).

On $k$-colorability of $(bull, H)$-free graphs Ben Rebea: Étude des stables dans les graphes quasi-adjoints (Thèse) Université de Grenoble, France (1981)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.804128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.528034Z digest=sha256:d880d0d6575e8d00a40aa04671c2ed2c775ac62fe8ffea3d563a95814535bf7a

Observation 2849ae9a-be73-4d50-9dff-a7dd2f1fe578 · outbound

This paper cites an unresolved cited work.

On $k$-colorability of $(bull, H)$-free graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:31:08.794101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.532145Z digest=sha256:d00aedd1e270826e7311f401ca544f7e901089a86463527f907dd2abc4f13348

Observation 18facb1f-f82b-43a3-8cc4-5fe28e6cd6b4 · outbound

This paper cites Brause, T.

On $k$-colorability of $(bull, H)$-free graphs Brause, T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.783827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.535980Z digest=sha256:d6573658f5d86f3457a522b0aeef4a3e60f04a79ee23b794da50f2e816336aca

Observation 5fded118-5137-4146-9db0-0efcb8685705 · outbound

This paper cites Brause, P.

On $k$-colorability of $(bull, H)$-free graphs Brause, P

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.773558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.539535Z digest=sha256:a8c5855ed7d8f0c67b4b2f35ea291fb06d3f855a00ba253b58c5b86f1e7fac22

Observation 8ad508cb-b34e-40e3-8a35-d2effb023d6a · outbound

This paper cites Brause, P.

On $k$-colorability of $(bull, H)$-free graphs Brause, P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.763806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.543487Z digest=sha256:1c7b1ac0cbab1c528d85331f1e934e70e398dc97c682c1f850cfcd33b97888dc

Observation ff0bbc92-61a2-4f96-8008-285ca6929c83 · outbound

This paper cites Bruce, C.T.

On $k$-colorability of $(bull, H)$-free graphs Bruce, C.T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.753720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.547024Z digest=sha256:2931d61ece630f37c782740bb59140e1b7c3e005b30e0cd305a266be041b5e6a

Observation d370f9d6-8189-4972-b90e-57ac4de5fc61 · outbound

This paper cites an unresolved cited work.

On $k$-colorability of $(bull, H)$-free graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:31:08.743124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.550911Z digest=sha256:a544bd918dc38c10c3b72ab57a47f38572db20f324f6b5db189a2e3d3fa26fee

Observation 48c8fa10-df3c-49ac-b0d5-0861a8509160 · outbound

This paper cites an unresolved cited work.

On $k$-colorability of $(bull, H)$-free graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:31:08.732698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.554286Z digest=sha256:aba169929cc42c1484eb2736dba3ee7f15eface2546de1a0d665aabd1f650986

Observation 79af3d10-9a24-4473-ab5f-fbbad8a1b76f · outbound

This paper cites Chudnovsky, N.

On $k$-colorability of $(bull, H)$-free graphs Chudnovsky, N

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.722903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.558351Z digest=sha256:c400459ace8df9bb195187f1270a414d9d5af71d4dab3daf3ba7c1b2bbed7f89

Observation 83f23915-99ac-45f3-a148-9d749a9c508f · outbound

This paper cites an unresolved cited work.

On $k$-colorability of $(bull, H)$-free graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:31:08.713305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.561743Z digest=sha256:faa73bbf0b48de0aae12c01fadc7d37a73c9f744c78626541c67566cbd396ec7

Observation e06a1adc-cf75-4a36-b7ed-9d9e355bc0cd · outbound

This paper cites Finding large $k$-colorable induced subgraphs in (bull, chair)-free and (bull,E)-free graphs.

On $k$-colorability of $(bull, H)$-free graphs Finding large $k$-colorable induced subgraphs in (bull, chair)-free and (bull,E)-free graphs

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-05T12:31:08.565041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:31:08.565041Z digest=sha256:6b3b4afea6527722c83a84a17a8f0f96b28ab1723abf6f858b84fa7b74e51919

Observation 8c656367-a52f-48af-8d99-1f0a2703f744 · outbound

This paper cites On the distinguishing chromatic number in hereditary graph classes.

On $k$-colorability of $(bull, H)$-free graphs On the distinguishing chromatic number in hereditary graph classes

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:31:08.627566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.568646Z digest=sha256:32548231be509054600b96898cafe646bd28ba6eb9610e8927c4f34cd1f3aad7

Observation cb47ffda-c8a7-457b-8d38-aa2b1c613ce6 · outbound

This paper cites Randerath, The Vizing bound for the chromatic number based on forbidden pairs, Aachen, Techn.

On $k$-colorability of $(bull, H)$-free graphs Randerath, The Vizing bound for the chromatic number based on forbidden pairs, Aachen, Techn

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.703218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.572637Z digest=sha256:261f60627b45cb2f075fd389317f28d0cd2d29b9c0ab2a8ce5043982297ca45b

Observation 3e5d3951-65e0-47cf-b5ff-9ca3b4cde793 · outbound

This paper cites Randerath, I.

On $k$-colorability of $(bull, H)$-free graphs Randerath, I

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.692130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.575861Z digest=sha256:f1c07c07a016480afce58553e1f503d2fe13b37c856ae36b9839c7dc28507350

Observation bdadfd6c-c0be-44ff-a9c2-3f264d96f00f · outbound

This paper cites Randerath, I.

On $k$-colorability of $(bull, H)$-free graphs Randerath, I

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.681902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.579095Z digest=sha256:2b23fb53f167d7164c3ba623139e57d1ef65f2787b8c03223024d8c659836bb3

Observation 6232badf-bcbc-4e25-8b71-ac95ceb35eb2 · outbound

This paper cites Randerath, I.

On $k$-colorability of $(bull, H)$-free graphs Randerath, I

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.671623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.582144Z digest=sha256:f1bbc7958fabed194a316858a0b5c934c79e85796563ca1afba40149ac4feada

Observation 9c2f69dc-14a4-403f-bb0c-8080b89af52f · outbound

This paper cites Randerath, I.

On $k$-colorability of $(bull, H)$-free graphs Randerath, I

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:31:08.661041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.589380Z digest=sha256:3692c16af3b39e2d4ba957c9fc58b3ae3f71cf268816ad9b048372347d258298

Observation e770b538-880c-41b4-81a3-418617f6d490 · outbound

This paper cites an unresolved cited work.

On $k$-colorability of $(bull, H)$-free graphs Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:31:08.650633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:31:08.592609Z digest=sha256:ce390b9e870d8081a43b96534c9f24738e75d146827c98ec9bb502f757e2f94c

Pith citing papers

Observation 60050a1c-734c-436e-ac83-ef2305889ce4 · inbound

Perfect divisibility and perfect-Pollyanna in bull-free graphs cites this paper.

Perfect divisibility and perfect-Pollyanna in bull-free graphs On $k$-colorability of $(bull, H)$-free graphs

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-13T20:46:12.801546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T20:46:12.801546Z digest=sha256:c3892b68b70e1faf5a70e31294475ba8daf8eace60b7bd394e7282a3dda0dcc0