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Paper Citation Record · LEDGER

Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2111.15649.

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

pith.paper-citation-record.v1
2111.15649 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:07:38.966772Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T11:49:51.394890Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation f9603101-f19f-4a95-836d-a99808aa4da4 · inbound

HEFT Numerators from Kinematic Algebra cites this paper.

HEFT Numerators from Kinematic Algebra Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T15:07:38.966772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 55465e11-1c55-4cee-9f7f-8e45e48858c0 · inbound

Gleaning gravitational amplitudes -- a double copy for canceling dilatons cites this paper.

Gleaning gravitational amplitudes -- a double copy for canceling dilatons Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory

Reference 213

Resolution
unresolved
no resolver link, observed 2026-08-10T04:36:57.164882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:36:57.164882Z digest=sha256:7041bf1d6830574262a68cfbb572cd7ea253f942deff14bb295018a4a5d3bb48

Observation 9f2409f0-cddc-4446-b4c7-dc2450efa640 · inbound

Off-shell double copy theories in BV cites this paper.

Off-shell double copy theories in BV Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-07T04:50:49.672532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:50:49.672532Z digest=sha256:341e547b28fd1a14b73324ec670e6bbd5426d78d2fd676edc03fe14094df9b3b

Observation db317fa8-7118-4b19-85f8-eb6bad2b20ee · inbound

The gravitational Compton amplitude at third post-Minkowskian order cites this paper.

The gravitational Compton amplitude at third post-Minkowskian order Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory

Reference 87

Resolution
verified exact
arxiv_id, observed 2026-05-16T06:27:27.503473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-16T06:25:50.003086Z digest=sha256:f6336e695fb71b969677262d07dab385dc985571741c44c76058783b8bf2ab35

Observation 3b408e0a-ad1e-494c-8458-e7bcc616fc02 · inbound

Lecture notes: Introduction to the Off-shell Double Copy Program cites this paper.

Lecture notes: Introduction to the Off-shell Double Copy Program Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory

Reference 25

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T14:27:04.009625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-28T00:27:37.147910Z digest=sha256:e872ac5f108fbcd119b1be475f5f91f5298a5c51035fc8e837ab91f047b63ff4

Observation 2260b06c-256d-40bd-a157-e5c30c181a81 · inbound

Lecture notes: Introduction to the Off-shell Double Copy Program cites this paper.

Lecture notes: Introduction to the Off-shell Double Copy Program Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory

Reference 25

Resolution
unresolved
no resolver link, observed 2026-07-13T07:45:39.947288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T07:45:39.947288Z digest=sha256:9b3898845948ebfe5ad453efc94c71c0958c5074a07cdd6f311b6ff860df7c9a

Observation 179ebeac-a322-4dde-ad74-5e88e6524564 · inbound

NLO Angular Impulse and Leading Singularities to all orders in spin for Kerr Black Holes cites this paper.

NLO Angular Impulse and Leading Singularities to all orders in spin for Kerr Black Holes Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-07-04T11:49:51.396351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-26T07:32:08.569170Z digest=sha256:b17553a952ad79452f3682a27e67ae1833e97840729a40c831161570a7e6fe89