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Paper Citation Record · LEDGER

Unified web for expansions of amplitudes

As of 20 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T10:55:20.584609Z digest=sha256:b226cc78c88b961c07090298a4763817fe0906e2fe3b1145a55ed7ef26bf1e55

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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no resolver link, observed 2026-08-14T10:55:20.590399Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.590399Z digest=sha256:ba378412aae72e275fcf05a0a6f7cf2683ae0674f061a67118c110b0c2e4219b

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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source=pdf_text observed=2026-08-14T10:55:20.595706Z digest=sha256:eeadf9f1d1ce884bcb87bf5fbad52c9c1e6b776156eea42dfce4c11878f06e70

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=sha256:9e06aea3086d8d54728c7a1129e8878e577e67b31040dd0738cc5b4ab335e19e

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:f4b043d68f60280d058aaedaeb1bc999181b2ca26ba356afd58e900e0397e011

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:b26620581ce34bccd80ae8e152625c830a0c94b198d819cf99a2ae8b9915c128

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.616492Z digest=sha256:5f9d089f7b0d02f43c873a0e1e958fe7ab4b7fffbd4b4efc6db9cbf157385159

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=sha256:497070b00528d04d9cde105120f1067d03bf6a5935028f4f0a6b0b6eebd54a8f

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:de5aad558160f493cf7a8e72a8f6ae1b0462df8c64b21cba55608fa1a74385e4

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=sha256:76963a30296f6a7ee7c916ca7db1de6dfad90f437d243bc3c8bc406ccedb4ef2

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.635842Z digest=sha256:2a819fa4d1acc555aab344e1e4e3afef289ca1efb9460e3e0d43eabc8fb5a8ba

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=sha256:083ac6b5be317508f5b69ee6592701ce193d7f07017eadb9b8efd50079fdf0f8

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:c8a684e7881946df605e81fd768ef4bc37b5885793697d277dfdccb7bbbae876

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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source=pdf_text observed=2026-08-14T10:55:20.650122Z digest=sha256:d2445486c4d341d23984439ec0d85e375acf25267799ecbe2018116618a6264d

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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no resolver link, observed 2026-08-14T10:55:20.654846Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.654846Z digest=sha256:d97040ec9c29277b0ea1bf2741e6f7ca3b0451910edf49d314a52d6f00382f41

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:ec6755772e1e59bd4812849b3491c1150f4244e5f3bc98ddc26667d7e678970e

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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source=pdf_text observed=2026-08-14T10:55:20.664156Z digest=sha256:51761148bc8602212c24b4d4d347763e4adee7513ef74ec5c5137476927a8025

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=sha256:5c99d249f9e649cf689b11a4642d80a0c4b9ef411524f1da748a5a0463f3c37b

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=sha256:31932e2d43692836fd3cdfb1a116d7b6126241add2f3255b578b46c8634943f5

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.678975Z digest=sha256:f1f1f76b43a03a8bda3c1b9fe664bd8031f9d4176552220cd177ed57d3b1f34c

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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no resolver link, observed 2026-08-14T10:55:20.683989Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.683989Z digest=sha256:345c2405d2f1b2a71e2d6b52953f8906e3afe2811e6272eb86247e2d06520c36

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:ddf4cb44eada4227d56db7087ead287e5e88d49c831dc0efc4d5ad90e7edfe48

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T10:55:20.693639Z digest=sha256:138810a7d25ad5b50fd8d03fca35cd82f2fc7c820d94cc930a07c3c99684edac

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:b82763b976df525e5b2ea4945bd183f64331a95dd6e8a6295b20e55a1bbd6260

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T10:55:20.703354Z digest=sha256:f49329c13e57b4fa6fb162d5ba919b03989bc7108e16122107a420f4628fbe85

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-24T04:19:37.356976Z digest=sha256:02a419dfe2838d645671dd9533885044f297c26c8c8de7b9160cb143819f44b6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T04:25:41.460847Z digest=sha256:d727da9b8aabd1e767a2fe527695630d4b072972b3b825549c47fa40c537f693

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-18T21:05:15.357598Z digest=sha256:fbed0ba095c9c3d86fa0cb8318c39175ce164521312dcee1f52db7280b867d2d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:161d4ccc353e859c10dc9b77a2824019761e4a56eac679e6911b73735f317662