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Paper Citation Record · LEDGER

Chromatic symmetric function of graphs from Borcherds algebras

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.08198.

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

pith.paper-citation-record.v1
1908.08198 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:16:39.281752Z

measured 22 of 22 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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa73a34f-5e0f-414d-9758-c4684bc5adae · outbound

This paper cites On the edge cover poly nomial of a graph.

Chromatic symmetric function of graphs from Borcherds algebras On the edge cover poly nomial of a graph

Reference 1

Resolution
verified fuzzy
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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.

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Observation b64711e6-1a1a-41be-9964-eb0d91be2905 · outbound

This paper cites Arunkumar.

Chromatic symmetric function of graphs from Borcherds algebras Arunkumar

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.559585Z

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.

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Observation 57625e8b-e993-4f10-80d6-14cad13eeb18 · outbound

This paper cites Arunkumar.

Chromatic symmetric function of graphs from Borcherds algebras Arunkumar

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.549253Z

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.

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Observation 25f4ccb2-5170-41c6-a1f9-49d2620c01c0 · outbound

This paper cites Arunkumar, Deniz Kus, and R.

Chromatic symmetric function of graphs from Borcherds algebras Arunkumar, Deniz Kus, and R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.539238Z

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.

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Observation 61a0d862-1a9b-4640-aef5-f9d3a9f11b01 · outbound

This paper cites Generalized Kac-Moody algebras.

Chromatic symmetric function of graphs from Borcherds algebras Generalized Kac-Moody algebras

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.528658Z

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.

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Observation f17cb84e-22af-43df-98c2-7276d2dd8f8f · outbound

This paper cites On the roots of ed ge cover polynomials of graphs.

Chromatic symmetric function of graphs from Borcherds algebras On the roots of ed ge cover polynomials of graphs

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.518271Z

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.

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Observation cd13fbe8-dfad-4ecf-8f9a-792af6a309ad · outbound

This paper cites Graph theory , volume 173 of Graduate Texts in Mathematics.

Chromatic symmetric function of graphs from Borcherds algebras Graph theory , volume 173 of Graduate Texts in Mathematics

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.506913Z

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.

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Observation 2aebf40b-4d3a-4d64-ac40-f7aa39437a08 · outbound

This paper cites Halld´ orsson and Guy Kortsarz.

Chromatic symmetric function of graphs from Borcherds algebras Halld´ orsson and Guy Kortsarz

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.495278Z

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.

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Observation 6a7f1f5b-8d0a-4268-b54f-0bf4530b9ae6 · outbound

This paper cites an unresolved cited work.

Chromatic symmetric function of graphs from Borcherds algebras Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:39.483045Z

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.

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Observation b2f347be-e563-45de-97b8-2d5fdbf53ff2 · outbound

This paper cites An exposition of generalized Kac-Moody algeb ras.

Chromatic symmetric function of graphs from Borcherds algebras An exposition of generalized Kac-Moody algeb ras

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.468644Z

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.

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Observation 2642334f-4d62-437c-897e-5be198050415 · outbound

This paper cites an unresolved cited work.

Chromatic symmetric function of graphs from Borcherds algebras Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:39.456132Z

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.

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Observation 302f9797-0ff3-4ad8-8058-0fb4ab27cb3a · outbound

This paper cites an unresolved cited work.

Chromatic symmetric function of graphs from Borcherds algebras Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T12:16:39.236548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:16:39.236548Z digest=sha256:908b50b3e7a98a3ed2b9a941f2b2dc1431928a2785bed408fdf68330d34f57fc

Observation 48576af4-0cfb-4e27-a7fb-02b29c8adab9 · outbound

This paper cites Free Lie algebras, generaliz ed Witt formula, and the denominator identity.

Chromatic symmetric function of graphs from Borcherds algebras Free Lie algebras, generaliz ed Witt formula, and the denominator identity

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.435279Z

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.

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Observation 909bbbfc-59be-41c6-898d-4a4198270ef2 · outbound

This paper cites Orientations acycliques et le polynˆ ome chromatique.

Chromatic symmetric function of graphs from Borcherds algebras Orientations acycliques et le polynˆ ome chromatique

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.420935Z

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.

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Observation d47715d5-16fa-44d6-b5d8-ad7c3d8eddb3 · outbound

This paper cites Lepowsky and S.

Chromatic symmetric function of graphs from Borcherds algebras Lepowsky and S

Reference 15

Resolution
verified fuzzy
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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.

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Observation c509e3d2-7db1-4d8f-a5b7-d08edd95d0e3 · outbound

This paper cites an unresolved cited work.

Chromatic symmetric function of graphs from Borcherds algebras Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:39.396880Z

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.

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Observation 9bb769f7-f26e-4301-b490-99593b300bbf · outbound

This paper cites an unresolved cited work.

Chromatic symmetric function of graphs from Borcherds algebras Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:39.385037Z

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.

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Observation cec3af36-cd27-4c95-b925-b31efaeade05 · outbound

This paper cites an unresolved cited work.

Chromatic symmetric function of graphs from Borcherds algebras Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:39.371049Z

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.

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Observation d866ca5f-753b-420d-9876-156677d368e5 · outbound

This paper cites Venkatesh and Sankaran Viswanath.

Chromatic symmetric function of graphs from Borcherds algebras Venkatesh and Sankaran Viswanath

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.359111Z

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.

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Observation 19ae56db-5818-41d2-8716-63f415679a94 · outbound

This paper cites Heaps of pieces.

Chromatic symmetric function of graphs from Borcherds algebras Heaps of pieces

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.346179Z

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=2026-08-14T12:16:39.269823Z digest=sha256:2d8fe00a94eca82a021aefef958b6a8aaf4fb7b8df80ca988e1ec1a527b1e434

Observation d8612db6-fe8e-4709-bed3-c2add5c89da1 · outbound

This paper cites Infinite-dimensional Lie algebras , volume 195 of Translations of Mathematical Monographs.

Chromatic symmetric function of graphs from Borcherds algebras Infinite-dimensional Lie algebras , volume 195 of Translations of Mathematical Monographs

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.331707Z

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.

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Observation 91ae4711-8962-47f4-a9de-1cef5494f691 · outbound

This paper cites A logical expansion in mathematics.

Chromatic symmetric function of graphs from Borcherds algebras A logical expansion in mathematics

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:39.317057Z

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.

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Pith citing papers

No inbound Pith citation observations are available.