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Paper Citation Record · LEDGER

Decomposable polymatroids and connections with graph coloring

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.09030.

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

pith.paper-citation-record.v1
1908.09030 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:34:43.597831Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 077fd24a-66ac-409d-a452-3912c31b327d · outbound

This paper cites Brylawski, Constructions, in: Theory of Matroids, N.

Decomposable polymatroids and connections with graph coloring Brylawski, Constructions, in: Theory of Matroids, N

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.794354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.545275Z digest=sha256:7f1fe6c1ebfd3bd4bbd7f98b548c3582c48867d07cf1b8969c292017e9f81854

Observation 6d101790-8555-4e8a-a994-c6707e04f280 · outbound

This paper cites Chun, Deletion-contraction to form a polymatroid, Discrete Math.

Decomposable polymatroids and connections with graph coloring Chun, Deletion-contraction to form a polymatroid, Discrete Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.779783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.550566Z digest=sha256:ff0a68de5a8aa00fdf15f40be5e95a40082ca2deddf4b7f9023a75832d0486f4

Observation 90941548-fc21-45e7-b607-3882c89ea7e0 · outbound

This paper cites Geelen and G.

Decomposable polymatroids and connections with graph coloring Geelen and G

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.764834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.555108Z digest=sha256:6f51fe4ca73b816a17f6e692326a605581cf05bb0a91ae7bb7e85dc718ee2dc1

Observation bfea93ae-445f-48be-8b4e-262ad6b47e80 · outbound

This paper cites Helgason, Aspects of the theory of hypermatroids, in: Hypergraph Seminar (Lecture Notes in Math., V ol.

Decomposable polymatroids and connections with graph coloring Helgason, Aspects of the theory of hypermatroids, in: Hypergraph Seminar (Lecture Notes in Math., V ol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.750142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.559893Z digest=sha256:1ca25fcb9428aceb6b71c8973b42ca9dc5630b795f7a4203409fdf682d9e011b

Observation f43f250b-5c70-44ba-bedc-0b76d2a978ae · outbound

This paper cites Herzog and T.

Decomposable polymatroids and connections with graph coloring Herzog and T

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.734881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.564575Z digest=sha256:4f3be058b9f3c2174b3abde613836f01fa7a3b52ccbb07ab145c16821262c036

Observation a4d0491c-20d4-44b4-93ce-e827a7fa883c · outbound

This paper cites Lemos, On the connectivity function of a binary matroi d, J.

Decomposable polymatroids and connections with graph coloring Lemos, On the connectivity function of a binary matroi d, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.719786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.569581Z digest=sha256:d4f806fbacb06baf26fb1dc9dff8144b3e59a6da9016c6967fd5075fc3551cff

Observation 0ac226e0-725f-4d39-a1d6-523abdf48d81 · outbound

This paper cites Lemos, Uniqueness of the decomposition of the rank fun ction of a 2-polymatroid, Discrete Math.

Decomposable polymatroids and connections with graph coloring Lemos, Uniqueness of the decomposition of the rank fun ction of a 2-polymatroid, Discrete Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.705034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.574721Z digest=sha256:3b02bb9d9d141aa1a954a22728d6cc2126ca5bcd60493dd7b2f8dd89ad0aa4b0

Observation 55c50c0b-2bce-44e7-bce2-58789ee2f70b · outbound

This paper cites Lemos and S.

Decomposable polymatroids and connections with graph coloring Lemos and S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.689918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.579615Z digest=sha256:bd5ed433516c75e8b088c38545a7f654b046ddd6be7b48f47033bf2954c6c1f2

Observation 623e787d-1ea3-4eb6-b394-afa168214ce0 · outbound

This paper cites Mat´ uˇ s, Excluded minors for Boolean polymatroids,Discrete Math.

Decomposable polymatroids and connections with graph coloring Mat´ uˇ s, Excluded minors for Boolean polymatroids,Discrete Math

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.676753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.584171Z digest=sha256:937b66349d7d39f8df5f6bdeb0675339e71c1377da9540e6de325fd3d4213f18

Observation 5a3e9619-eed9-4fbc-a0aa-6ea8d67af834 · outbound

This paper cites Murty and I.

Decomposable polymatroids and connections with graph coloring Murty and I

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.662366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.588851Z digest=sha256:7c42016e80c4e69e888c2a1282cf32edd6b44fb2d5910e31a0e1a1a0f0aaf755

Observation e8e2966e-5a81-454a-a00f-35c74377840c · outbound

This paper cites Oxley, Matroid Theory, second edition (Oxford University Press, Oxford, 2011).

Decomposable polymatroids and connections with graph coloring Oxley, Matroid Theory, second edition (Oxford University Press, Oxford, 2011)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.648677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.593307Z digest=sha256:b248fd5af7052828d2503189df0fb615f4cbb07d2b29a1237fffd810e18bffcf

Observation c1130e40-bf9a-4aef-8fdd-b79236b9c64d · outbound

This paper cites Oxley and G.

Decomposable polymatroids and connections with graph coloring Oxley and G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:43.634592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:34:43.597831Z digest=sha256:2770efaef90b4cf47416c3c6333acb39955504e68d0996f7c1b5e18838b5984f

Pith citing papers

No inbound Pith citation observations are available.