Pith. sign in

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:d33100cd5abc63beef441e690f3803bf1b528b009e5dcd34ab8b6340738a9889

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.590399Z digest=sha256:085bff98d695e5fcf78bbd518dee3489ffbfed81a57fcc1aa86284d44d1864f6

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.595706Z digest=sha256:f1a16922a3436871439d3f16284cc5cbe87386b8a718796f0b5bc1f6c28db443

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.600508Z digest=sha256:7fa0dcc010a40a1ae7c3422ec366fa8d0fe0b891796304aeb1bd5ec5a3af798f

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.605418Z digest=sha256:e11afb6cb03811aa2c6df0eef527dfd013839c1834c6bc30f591b2af366761ad

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.611065Z digest=sha256:c47338ca4ab5753d672475e160a63cc3a08ececeb80052686dcb174e2cc464b3

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.616492Z digest=sha256:0a6efd76c88efb57d61f8430d3cf8f3e352c72230d77e11c5b9c3a59b07c53a8

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.621628Z digest=sha256:e454a7f9ad402d9fc292847766361a6dfc88dacd49fa7a4e26292515d2417b96

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.626306Z digest=sha256:f4e227bc60ec5c6e64b6e853705899f21d5a5ff16f61d1f52896ef06bdf593fd

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

This paper cites Transmuting CHY formulae.

Unified web for expansions of amplitudes Transmuting CHY formulae

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T10:55:20.631065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.631065Z digest=sha256:61121431f03340692ab6ade37fc9817c54f36a7ea6ac3ebb33240f3bf468277b

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.635842Z digest=sha256:53dfdec9942b56ed78bb60d35c8a56e18347c2092d05d248ec2088c54088876a

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.640685Z digest=sha256:1d8b76adc2018b88082e6f55e96ec36ced110b81f56d131d6699367cc99211c6

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

Resolution
unresolved
no resolver link, observed 2026-08-14T10:55:20.645427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.645427Z digest=sha256:cb23b3326480b615189c35c89841bae5cf586df67f156e4c90e1c928515234a0

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.650122Z digest=sha256:c76112d77b2638dbdd1d3938b7895fe5e6d313d0a094c7bf95f11ea50f58c1c5

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.654846Z digest=sha256:3b8cf3c584492c16ed1d9670a9612bacff40ff1e3a1bd8da9af4695cba4260bf

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.659620Z digest=sha256:1cf11405f04f4aa20961e401bf2dbd5ffe64e55891aff1c71abd28bcb607038a

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.664156Z digest=sha256:f72db81fae650dfdade74606d04874be08085f5b27cd5a4a02541ee173a7c8fa

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.668928Z digest=sha256:b5c5924c2967a86214b13455d0cfe92d25a8a37c7d3540c3d752ae9dbf34c4b0

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.674138Z digest=sha256:0b621978820bbedc82091068fb7b89736a3a406e288c7f3c63ee23b7f4b8b532

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.678975Z digest=sha256:b6660ec78dd87bebefbf5ba1b668dae263e5f150f357b3938a301f1e9a32155f

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.683989Z digest=sha256:32815005e14f6203d754f4b65897d3a7f6232ef43fd5fe2309edb53b8fdb707f

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.688676Z digest=sha256:90d5ececce14c26d651179dcc21e6be6f318ea925eef9f34c629f50733350f46

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:ad492e74d32ed825fbc25ba267942608e454bb90f7eab54206f764547eb204e3

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

Resolution
unresolved
no resolver link, observed 2026-08-14T10:55:20.698150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.698150Z digest=sha256:ecd2f0409d8f3d4c233d36336a646f2ba206930fd4adc4ff9497a9dad51bb6a0

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

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

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=2026-08-14T10:55:20.703354Z digest=sha256:f1d7a7ea31fb477f6940a12046006da45f969f9a4bdce4b7dc3cd52ccef1b562

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

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

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=2026-05-24T04:19:37.356976Z digest=sha256:39ee73a2e8b1c9460c7cb354a7f3ac92724d2ef6c92075e17947517aec66ef74

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

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

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=2026-05-23T04:25:41.460847Z digest=sha256:3167aa03de9a5c6800cb8963c62e0ef9f8f7db3982f7a30c3fc6de960a84f2e9

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

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

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=2026-05-18T21:05:15.357598Z digest=sha256:6ecb5b1aaa7ad682f8ede9f3c16aa650a6a01c3d5cc6cbbb05fec1782b0e77a5

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

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

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=2026-05-18T08:06:38.305253Z digest=sha256:d06ed9f4c896e432d6ea79181f833036fc62fc5d0b46f9184943e5560db32db1