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Paper Citation Record · LEDGER

A Novel On-Shell Recursive Relation

As of 7 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2507.23510.

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

pith.paper-citation-record.v1
2507.23510 v4

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:46:39.023685Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:46:17.022021Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

  • verified exact6
  • verified fuzzy3
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 224bcf80-e399-4410-a371-3ba34ad52b3e · outbound

This paper cites New recursion rela- tions for tree amplitudes of gluons,.

A Novel On-Shell Recursive Relation New recursion rela- tions for tree amplitudes of gluons,

Reference 1

Resolution
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no resolver link, observed 2026-08-06T10:46:38.888099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.888099Z digest=sha256:8669841548a4f4fe55643555795f2eafb202793fda6e60581d1b6093c4cf9689

Observation d48fce87-2429-4dfa-863c-f57a7f7224e2 · outbound

This paper cites On Tree Amplitudes in Gauge Theory and Gravity,.

A Novel On-Shell Recursive Relation On Tree Amplitudes in Gauge Theory and Gravity,

Reference 2

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.892944Z digest=sha256:3a3e673b5104b40246f0a20aee9d69f9376115d4120eb3f2336924bcee47e978

Observation cca92041-edba-4062-8612-b1cd2ffe476d · outbound

This paper cites Scattering equations and Kawai-Lewellen-Tye orthogonality,.

A Novel On-Shell Recursive Relation Scattering equations and Kawai-Lewellen-Tye orthogonality,

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T10:46:38.898153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.898153Z digest=sha256:3f58d9521c14a75d0ad65d49dc842c7a3b853974a29661cd561c4ee3972871b0

Observation 9e5b540b-51f8-4478-85f5-afbea9bfaec5 · outbound

This paper cites an unresolved cited work.

A Novel On-Shell Recursive Relation Unresolved cited work

Reference 4

Resolution
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raw_fallback, observed 2026-08-06T10:46:39.600484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation b0fb399d-c588-4e8f-9c3b-ba93fd5b1a6d · outbound

This paper cites Ambitwistor strings and the scattering equations,.

A Novel On-Shell Recursive Relation Ambitwistor strings and the scattering equations,

Reference 5

Resolution
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no resolver link, observed 2026-08-06T10:46:38.903133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.903133Z digest=sha256:b55d4299be0eeb3f70f028b9208763b717c6f76351eabf56d83c81fd4bb48a41

Observation 034d6e1a-056a-49bd-add7-088a391abdb0 · outbound

This paper cites Λscattering equations,.

A Novel On-Shell Recursive Relation Λscattering equations,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:46:39.584570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 62d6ef5c-0fbb-4d32-9312-4a6ba974addc · outbound

This paper cites Smoothly splitting amplitudes and semi-locality,.

A Novel On-Shell Recursive Relation Smoothly splitting amplitudes and semi-locality,

Reference 7

Resolution
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no resolver link, observed 2026-08-06T10:46:38.922468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.922468Z digest=sha256:e6014a05c8bcf579fc5ba90e02621e2469be3f2ec4ccebbcc32f9861fc1e5ae6

Observation df9cd84a-8a21-4e0a-8b81-c15c113d5659 · outbound

This paper cites New Factorization Relations for Yang Mills Am- plitudes,.

A Novel On-Shell Recursive Relation New Factorization Relations for Yang Mills Am- plitudes,

Reference 8

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.917880Z digest=sha256:f03b724ef9852aaea7501faf4a215cfe33b6456c46f11ceddc93f84600a861fa

Observation 87364d55-3bd0-450b-9858-aed1532ac4d7 · outbound

This paper cites Recursive Calculations for Processes with n Gluons,.

A Novel On-Shell Recursive Relation Recursive Calculations for Processes with n Gluons,

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.931458Z digest=sha256:9d611466386483713173c73ba8eaaa93b0ad968d2625d5d9529454cc88a5f105

Observation 892eb613-e43d-4569-9315-7aa678286ec2 · outbound

This paper cites CHY representations for gauge theory and gravity amplitudes with up to three massive particles,.

A Novel On-Shell Recursive Relation CHY representations for gauge theory and gravity amplitudes with up to three massive particles,

Reference 10

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.926916Z digest=sha256:3ef416fbe41d313282292f7a806c723396be0dfb0e63eb4ecc5eb998b155544c

Observation 114b76ff-7790-4f78-8c39-4ef4c109e54a · outbound

This paper cites Stringy Canonical Forms.

A Novel On-Shell Recursive Relation Stringy Canonical Forms

Reference 11

Resolution
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no resolver link, observed 2026-08-06T10:46:38.941162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.941162Z digest=sha256:3ccb1a1ddc3d5ce630a4b963eaaf0689f9e0e8cfd0d3d81ab8a1401e09e0b358

Observation 8246a1be-3f38-4dd0-a16d-4243ab50344a · outbound

This paper cites Berends-Giele recursion for double-color-ordered amplitudes.

A Novel On-Shell Recursive Relation Berends-Giele recursion for double-color-ordered amplitudes

Reference 12

Resolution
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no resolver link, observed 2026-08-06T10:46:38.936401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.936401Z digest=sha256:c52ecf35cb1fecce45d9cc35d06f3bd74df31ce181379642af9662c7e388bc5d

Observation 7e016860-19bb-431e-a3a0-cb3184a8f550 · outbound

This paper cites Proof of the Formula of Cachazo, He and Yuan for Yang-Mills Tree Ampli- tudes in Arbitrary Dimension,.

A Novel On-Shell Recursive Relation Proof of the Formula of Cachazo, He and Yuan for Yang-Mills Tree Ampli- tudes in Arbitrary Dimension,

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T10:46:38.950663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6fd8fe9c-77e6-47eb-8d6e-d174efb3e5d0 · outbound

This paper cites New Relations for Gauge-Theory Amplitudes,.

A Novel On-Shell Recursive Relation New Relations for Gauge-Theory Amplitudes,

Reference 14

Resolution
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no resolver link, observed 2026-08-06T10:46:38.946037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ed60252d-f753-4374-89ff-561d86186fdb · outbound

This paper cites Tree level amplitudes from soft theorems,.

A Novel On-Shell Recursive Relation Tree level amplitudes from soft theorems,

Reference 15

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.960185Z digest=sha256:274dbfd85bb51ad364cdc9a028fc4f2b5254d4c83e1d106010d780d15407347b

Observation 1d627c55-86c0-4465-bf92-87c11f6b18e2 · outbound

This paper cites Universal expansions of scattering amplitudes for gravitons, gluons and Goldstone particles.

A Novel On-Shell Recursive Relation Universal expansions of scattering amplitudes for gravitons, gluons and Goldstone particles

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T10:46:38.955371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.955371Z digest=sha256:e359de63a8846045301661efb00761e0a0d6efe716d5f296068a2a3b75f13587

Observation fe632e51-4eab-4564-b4ed-894a5fbd9751 · outbound

This paper cites Computer support material.

A Novel On-Shell Recursive Relation Computer support material

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:46:39.569340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation f0847bcd-139f-4e09-a09d-09b603b7a276 · outbound

This paper cites Unifying Rela- tions for Scattering Amplitudes,.

A Novel On-Shell Recursive Relation Unifying Rela- tions for Scattering Amplitudes,

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T10:46:38.964778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7e8d7996-0ec4-4411-9813-4ec1b6723ee8 · outbound

This paper cites In preparation.

A Novel On-Shell Recursive Relation In preparation

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 2b11e66f-c669-443e-aa0d-e4937f4491df · outbound

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

A Novel On-Shell Recursive Relation Expansion of Einstein-Yang-Mills Amplitude

Reference 20

Resolution
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no resolver link, observed 2026-08-06T10:46:38.973898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.973898Z digest=sha256:2639f62773a74003e016f86e8db59b5907be0e0a60ba7ec01fc7d46083454ffc

Observation 98c0d954-fac5-4302-8186-516cb646147e · outbound

This paper cites New factorizations of Yang-Mills am- plitudes,.

A Novel On-Shell Recursive Relation New factorizations of Yang-Mills am- plitudes,

Reference 21

Resolution
verified exact
doi, observed 2026-08-06T10:46:39.139597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T10:46:38.987399Z digest=sha256:9bfc058e35d73f494ddd23f872e1d192d0c0641a2d5c4f2bd4087fef3d847bba

Observation c81e4326-9211-44a2-9fc9-fb0769379ca5 · outbound

This paper cites A univer- sal splitting of tree-level string and particle scatter- ing amplitudes,.

A Novel On-Shell Recursive Relation A univer- sal splitting of tree-level string and particle scatter- ing amplitudes,

Reference 22

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T10:46:39.475027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8e016c51-1bf5-4fc8-b01d-5de26b5e10ee · outbound

This paper cites Hidden Zeros and $2$-split via BCFW Recursion Relation.

A Novel On-Shell Recursive Relation Hidden Zeros and $2$-split via BCFW Recursion Relation

Reference 23

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Unavailable: canonical work link unavailable.

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Observation 0db455e0-1143-4646-a28f-4539c66fd71a · outbound

This paper cites Understanding zeros and splittings of or- dered tree amplitudes via Feynman diagrams,.

A Novel On-Shell Recursive Relation Understanding zeros and splittings of or- dered tree amplitudes via Feynman diagrams,

Reference 24

Resolution
verified exact
doi, observed 2026-08-06T10:46:39.123037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation dc9a874e-ddeb-4685-8d6c-6951caa2b6ee · outbound

This paper cites Generalized2-split for higher- derivative YM and GR amplitudes at tree-level,.

A Novel On-Shell Recursive Relation Generalized2-split for higher- derivative YM and GR amplitudes at tree-level,

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-06T10:46:39.006155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:39.006155Z digest=sha256:0b018b97c83f1a97106a541008f30019d429ed391cc6254a10ff6014a3246bec

Observation 9394cee9-fc2d-43d7-9c6e-f007112df5b1 · outbound

This paper cites On-shell representation and further instances of the 2-split behavior of amplitudes.

A Novel On-Shell Recursive Relation On-shell representation and further instances of the 2-split behavior of amplitudes

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-06T10:46:39.001405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:39.001405Z digest=sha256:bb67c61424d9521132ff9de8ce46cc66065866b6ece9013917cddce486a23535

Observation eb8f9aac-cf56-46f3-912f-3e41628e3969 · outbound

This paper cites Ambitwistor strings and the scattering equations on AdS3×S3,.

A Novel On-Shell Recursive Relation Ambitwistor strings and the scattering equations on AdS3×S3,

Reference 27

Resolution
verified exact
doi, observed 2026-08-06T10:46:39.092782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T10:46:39.015289Z digest=sha256:0988c45f782ef0ffd74d9785c2d173e532c2a05657d23464f48e2c82b4b1d5d4

Observation 1683f5c2-c0b1-4743-9476-9f35042745dd · outbound

This paper cites Scat- tering equations in AdS: scalar correlators in arbitrary dimensions,.

A Novel On-Shell Recursive Relation Scat- tering equations in AdS: scalar correlators in arbitrary dimensions,

Reference 28

Resolution
verified exact
doi, observed 2026-08-06T10:46:39.108393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T10:46:39.011037Z digest=sha256:1f1399b088460c4ac256fcbe5253a015c4badfa39ed958abd56c1f62d87a90d4

Observation 5e345ec7-754b-4ae5-a038-087a56f94019 · outbound

This paper cites Cosmologi- cal Scattering Equations,.

A Novel On-Shell Recursive Relation Cosmologi- cal Scattering Equations,

Reference 29

Resolution
verified exact
doi, observed 2026-08-06T10:46:39.059961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T10:46:39.023685Z digest=sha256:6b55d915555e5f4cd8b3afe52edd57ab5e40a8e9c735f8edbfb4f335e43ee1b2

Observation 434b64ab-3fb0-437a-9f2e-87d235c4b177 · outbound

This paper cites BCJ amplitude relations for Anti-de Sitter bound- ary correlators in embedding space,.

A Novel On-Shell Recursive Relation BCJ amplitude relations for Anti-de Sitter bound- ary correlators in embedding space,

Reference 30

Resolution
verified exact
doi, observed 2026-08-06T10:46:39.077445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation df223dbc-690d-456d-8fdf-310bed254c2b · outbound

This paper cites an unresolved cited work.

A Novel On-Shell Recursive Relation Unresolved cited work

Reference 101

Resolution
unresolved
no resolver link, observed 2026-08-06T10:46:38.912581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:46:38.912581Z digest=sha256:f5aaac7d1a4b48606902962d9e661a8b4436211238bde7a60e0bee18ec7a7bb4

Pith citing papers

Observation c504a198-f46e-4fd2-b1da-11705dbdb0a2 · inbound

On differential operators for scalar-scaffolded gluons cites this paper.

On differential operators for scalar-scaffolded gluons A Novel On-Shell Recursive Relation

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T15:46:17.022021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:46:17.022021Z digest=sha256:cdae6dbd7e3786eb92d2d44433f6aad1d9e05363dc44f50f8da884c5b8422669