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Paper Citation Record · LEDGER

Unified web for expansions of amplitudes

As of 15 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 4 inbound Pith citation observations for arXiv:1908.10272.

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

pith.paper-citation-record.v1
1908.10272 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:55:20.703354Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-24T04:19:37.356976Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T04:23:53.096228Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy2
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d7f969c8-b86f-44bf-a966-e50b827fe69c · outbound

This paper cites Kawai, D.

Unified web for expansions of amplitudes Kawai, D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:21.119266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:55:20.584609Z digest=sha256:3b3c265c8f078f76df83421806f1b44104facff13a1540c5b60f5d9732f2ae1d

Observation ca20fd99-ddda-4f7e-917e-181e3e4af3e2 · outbound

This paper cites New Relations for Gauge-Theory Amplitudes.

Unified web for expansions of amplitudes New Relations for Gauge-Theory Amplitudes

Reference 2

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.590399Z digest=sha256:39f25fb284f7835f521da98a5a26e282ec108e9845b6078b365f5501e202e70d

Observation 86be7b7f-4dc6-4e64-880b-770d5ec0d43f · outbound

This paper cites Scattering Equations and KLT Orthogonality.

Unified web for expansions of amplitudes Scattering Equations and KLT Orthogonality

Reference 3

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no resolver link, observed 2026-08-14T10:55:20.595706Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.595706Z digest=sha256:5392076c8be9c682c395a1b19670016350e85d6adb9de79d85af1de959276ceb

Observation 3140b0d3-9081-4230-b6b2-bab982294852 · outbound

This paper cites Scattering of Massless Particles in Arbitrary Dimension.

Unified web for expansions of amplitudes Scattering of Massless Particles in Arbitrary Dimension

Reference 4

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no resolver link, observed 2026-08-14T10:55:20.600508Z

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source=pdf_text observed=2026-08-14T10:55:20.600508Z digest=sha256:b62749ee2c4f2f321210a26be36de6ef266fb17e5c1d14c1e57fd1f1fc68090c

Observation 429ce858-7957-4e32-9731-488aab55e1f0 · outbound

This paper cites Scattering of Massless Particles: Scalars, Gluons and Gravitons.

Unified web for expansions of amplitudes Scattering of Massless Particles: Scalars, Gluons and Gravitons

Reference 5

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no resolver link, observed 2026-08-14T10:55:20.605418Z

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source=pdf_text observed=2026-08-14T10:55:20.605418Z digest=sha256:2133026d9f5b6fc7f3555989753d960853407e00ca29afb88d896245a6adbe48

Observation 7b235687-15a7-4972-b91b-5ecb667ee9ca · outbound

This paper cites Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations.

Unified web for expansions of amplitudes Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations

Reference 6

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no resolver link, observed 2026-08-14T10:55:20.611065Z

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source=pdf_text observed=2026-08-14T10:55:20.611065Z digest=sha256:007aaf900e7e86d5268ac7f646dd20730fd203eadcec3de40cabb054c82e0aae

Observation e17f3cd4-72fa-4a9f-b6d0-0713b807a4e4 · outbound

This paper cites Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM.

Unified web for expansions of amplitudes Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM

Reference 7

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no resolver link, observed 2026-08-14T10:55:20.616492Z

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source=pdf_text observed=2026-08-14T10:55:20.616492Z digest=sha256:2167e78d6b3a11356a808be6dc2ceeb4574bc2f78af2300dfd057501c9a6628a

Observation b14d316a-27f9-459c-9492-126413ed221b · outbound

This paper cites Unifying Relations for Scattering Amplitudes.

Unified web for expansions of amplitudes Unifying Relations for Scattering Amplitudes

Reference 8

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no resolver link, observed 2026-08-14T10:55:20.621628Z

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source=pdf_text observed=2026-08-14T10:55:20.621628Z digest=sha256:9c9ace64160c7c735ff1758eca9523c0061797a69c8d5b30dc37c9720d7fbd07

Observation cf48d11f-69ed-48ba-9ed4-9bd679ccb2f3 · outbound

This paper cites Note on differential operators, CHY integrands, and unifying relations for amplitudes.

Unified web for expansions of amplitudes Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 9

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no resolver link, observed 2026-08-14T10:55:20.626306Z

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source=pdf_text observed=2026-08-14T10:55:20.626306Z digest=sha256:5744c46957b423b806f38611854414addc4af914dad3abdef5d26124db16e23b

Observation d2e51b91-3fb0-4cd8-a267-a0ac20db114a · outbound

This paper cites Transmuting CHY formulae.

Unified web for expansions of amplitudes Transmuting CHY formulae

Reference 10

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source=pdf_text observed=2026-08-14T10:55:20.631065Z digest=sha256:6657ed92a4852d0590f940be3c0dfeafa575a41fa723accc9e3dbe2b90197353

Observation c6a2ae0e-fb64-403d-81fd-b45b07b3ffc6 · outbound

This paper cites New Relations for Einstein-Yang-Mills Amplitudes.

Unified web for expansions of amplitudes New Relations for Einstein-Yang-Mills Amplitudes

Reference 11

Resolution
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no resolver link, observed 2026-08-14T10:55:20.635842Z

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source=pdf_text observed=2026-08-14T10:55:20.635842Z digest=sha256:1d4ba16308cc95432a1b31d46bf069b93dba15099eb00e78bf83d75cf7a29784

Observation ba7321f9-94a6-41f6-a12f-8590514df3ae · outbound

This paper cites Amplitude relations in heterotic string theory and Einstein-Yang-Mills.

Unified web for expansions of amplitudes Amplitude relations in heterotic string theory and Einstein-Yang-Mills

Reference 12

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no resolver link, observed 2026-08-14T10:55:20.640685Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.640685Z digest=sha256:ed4e4d6feb457f41e21cafab06eec0d1e169978916709aa1f9d20349d8cebb07

Observation 955d07c8-9de7-406f-9f3a-8fad9c4c9aba · outbound

This paper cites Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double Copy.

Unified web for expansions of amplitudes Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double Copy

Reference 13

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source=pdf_text observed=2026-08-14T10:55:20.645427Z digest=sha256:713470992b500fa801a24ace63cb1415b46dafaacfa795855f29359140c65fcd

Observation faee854f-98a0-4bb9-a379-9d571a54c927 · outbound

This paper cites New Color Decompositions for Gauge Amplitudes at Tree and Loop Level.

Unified web for expansions of amplitudes New Color Decompositions for Gauge Amplitudes at Tree and Loop Level

Reference 14

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no resolver link, observed 2026-08-14T10:55:20.650122Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.650122Z digest=sha256:c573e0b97da5de54c020c4d375ca85969996a8f3d351a4aac2c08d35941dbeda

Observation 21e3d588-f634-4b9d-9ced-c70262af1a29 · outbound

This paper cites Einstein-Yang-Mills from pure Yang-Mills amplitudes.

Unified web for expansions of amplitudes Einstein-Yang-Mills from pure Yang-Mills amplitudes

Reference 15

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.654846Z digest=sha256:f8e47ab46528b0d9e78aa78700fcd3a1e89027116244e66d042d87ba596e99cd

Observation 460123a5-b257-4a4a-a9dc-b319c1a3cc8e · outbound

This paper cites Relations for Einstein-Yang-Mills amplitudes from the CHY representation.

Unified web for expansions of amplitudes Relations for Einstein-Yang-Mills amplitudes from the CHY representation

Reference 16

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no resolver link, observed 2026-08-14T10:55:20.659620Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.659620Z digest=sha256:e52773c0f315926de6df9a8f64cf773c6783dc591af0d44991468e9eeb1219e7

Observation 5d4a5056-ba97-45a2-840a-ffda44207f3a · outbound

This paper cites Expansion of Einstein-Yang-Mills Amplitude.

Unified web for expansions of amplitudes Expansion of Einstein-Yang-Mills Amplitude

Reference 17

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no resolver link, observed 2026-08-14T10:55:20.664156Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.664156Z digest=sha256:a88a39dcf1434933ccbc5f270f7c4d70e230fe0547b31207f1e85145d94a7e0e

Observation 99fe67f7-30de-4998-93e0-7f433974e569 · outbound

This paper cites Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame.

Unified web for expansions of amplitudes Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame

Reference 18

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no resolver link, observed 2026-08-14T10:55:20.668928Z

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source=pdf_text observed=2026-08-14T10:55:20.668928Z digest=sha256:e052b0c2de74a22fb6d49f759a8ac6d168fed448036410c38fffcbfc8cef8e5a

Observation 1784d7fc-cd7e-4caf-8f5a-2bbea95244f3 · outbound

This paper cites BCJ numerators from reduced Pfaffian.

Unified web for expansions of amplitudes BCJ numerators from reduced Pfaffian

Reference 19

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no resolver link, observed 2026-08-14T10:55:20.674138Z

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source=pdf_text observed=2026-08-14T10:55:20.674138Z digest=sha256:0e564533b5d0a1f07811cc5745d522d48efa8187a1020712e11e34d1ef88e2f1

Observation d137c3b5-202a-4683-9f6c-b3e42e2da2f6 · outbound

This paper cites Expansion of All Multitrace Tree Level EYM Amplitudes.

Unified web for expansions of amplitudes Expansion of All Multitrace Tree Level EYM Amplitudes

Reference 20

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no resolver link, observed 2026-08-14T10:55:20.678975Z

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source=pdf_text observed=2026-08-14T10:55:20.678975Z digest=sha256:eca2d14c935879376c65b64fdc68892132f88874507cdedbbd91969835b008a6

Observation 577901f0-db85-4c8c-a49f-2da308de201a · outbound

This paper cites Expansion of Einstein-Yang-Mills theory by Differential Operators.

Unified web for expansions of amplitudes Expansion of Einstein-Yang-Mills theory by Differential Operators

Reference 21

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source=pdf_text observed=2026-08-14T10:55:20.683989Z digest=sha256:42810129c6b5e66ccbf1788ab7926c64a8ac462a61aba377da5bc62a932f7a6c

Observation 37894347-e4da-4c5e-b627-fbbfd086f939 · outbound

This paper cites Expansion of tree amplitudes for EM and other theories.

Unified web for expansions of amplitudes Expansion of tree amplitudes for EM and other theories

Reference 22

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no resolver link, observed 2026-08-14T10:55:20.688676Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.688676Z digest=sha256:250fda525e54de2aa74d9bf6ebdc50fb59181fdeb9762123c8d4578a8376af1c

Observation 1f597260-646b-4d2f-8ee9-83124bb7574e · outbound

This paper cites Kleiss and H.

Unified web for expansions of amplitudes Kleiss and H

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:21.103787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:55:20.693639Z digest=sha256:cf7a76ae7f4bc1e1a44661ae4ac003c450e124cd22e1bf84b1b43ec6fb92e4ba

Observation 8d5d2f01-d101-4e49-9e6a-773c2d7a8084 · outbound

This paper cites Integration Rules for Scattering Equations.

Unified web for expansions of amplitudes Integration Rules for Scattering Equations

Reference 24

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source=pdf_text observed=2026-08-14T10:55:20.698150Z digest=sha256:14ec5aadcd84bc2b92c637aa58b44f38e1d61c9cce07d356c4bce8e11cc97daa

Observation f342e81e-14a4-4f18-94fd-61ead9ed7d9a · outbound

This paper cites Scattering Equations and Feynman Diagrams.

Unified web for expansions of amplitudes Scattering Equations and Feynman Diagrams

Reference 25

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local_arxiv, observed 2026-08-14T10:55:20.746257Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:55:20.703354Z digest=sha256:f9d9b38071b0a897c4e51ba864a173e65a0b015f0bc53901259f7aeadfc3ad8a

Pith citing papers

Observation 75b3a1bb-afe3-456a-92bc-278a433c0825 · inbound

Multi-trace YMS amplitudes from soft behavior cites this paper.

Multi-trace YMS amplitudes from soft behavior Unified web for expansions of amplitudes

Reference 40

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verified exact
arxiv_id, observed 2026-05-24T04:23:53.098483Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T04:19:37.356976Z digest=sha256:c32e8edbbcb3db57b2d75d84c7096fa99f28883137f7c20b4607c625ff576f1f

Observation 4eef73dd-93ca-4eb1-8772-448c398a09e3 · inbound

Note on hidden zeros and expansions of tree-level amplitudes cites this paper.

Note on hidden zeros and expansions of tree-level amplitudes Unified web for expansions of amplitudes

Reference 34

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arxiv_id, observed 2026-05-23T04:27:31.100768Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-23T04:25:41.460847Z digest=sha256:623d40a1479d097010011a1af5da8681aed805d6743b32c17e4d9f97f56c8bd3

Observation 8726952f-e10c-46a3-af7f-8a8a60987fb7 · inbound

$2$-split from Feynman diagrams and Expansions cites this paper.

$2$-split from Feynman diagrams and Expansions Unified web for expansions of amplitudes

Reference 33

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arxiv_id, observed 2026-05-18T21:06:50.631506Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-18T21:05:15.357598Z digest=sha256:0b59667c933fd32e8c7fb8cdee6af3d932780f8a3a69597e1fbca13a83321f53

Observation 3e13fa74-7ada-4305-82c8-71f4c8c12a92 · inbound

Hidden zeros for higher-derivative YM and GR amplitudes at tree-level cites this paper.

Hidden zeros for higher-derivative YM and GR amplitudes at tree-level Unified web for expansions of amplitudes

Reference 49

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arxiv_id, observed 2026-05-18T08:11:07.026475Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:a8fdffd160d7fd1870c64a2664c4af2eac2413a59f256fbced18c1ee7cd937d0