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Paper Citation Record · LEDGER

Recursion for Differential Cross-Section from the Optical Theorem

As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2412.05575.

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

pith.paper-citation-record.v1
2412.05575 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:47:04.355667Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T18:33:36.688079Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T18:35:02.366119Z

Reference resolution

25 of 25 outbound references displayed

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  • verified fuzzy3
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation de067ef6-0baf-4735-9ea9-39c4fe003ce6 · outbound

This paper cites Feenberg, The Scattering of Slow Electrons by Neutral Atoms , Phys.

Recursion for Differential Cross-Section from the Optical Theorem Feenberg, The Scattering of Slow Electrons by Neutral Atoms , Phys

Reference 1

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raw_fallback, observed 2026-08-11T20:47:04.669894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.231176Z digest=sha256:16230320d1689b45875585d7b978a5fc2d159fa3291a766ab542417d750f9e57

Observation 3359e566-6fff-4a94-9f2f-34b800c22516 · outbound

This paper cites an unresolved cited work.

Recursion for Differential Cross-Section from the Optical Theorem Unresolved cited work

Reference 2

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.236358Z digest=sha256:63bdd7f7fb9a79ff56deedaeeacabd5f7935820900b4a9982ce6f36af5be8165

Observation 1493b409-408c-4138-ab17-b65cfd56f936 · outbound

This paper cites an unresolved cited work.

Recursion for Differential Cross-Section from the Optical Theorem Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.240224Z digest=sha256:439e7a363644f0dc061041bc31141926266ce0a287a6368b5c041e760c6a765b

Observation 247746f5-6556-496b-bdff-80c1222dd523 · outbound

This paper cites Quantum Off-Shell Recursion Relation.

Recursion for Differential Cross-Section from the Optical Theorem Quantum Off-Shell Recursion Relation

Reference 4

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source=pdf_text observed=2026-08-11T20:47:04.244139Z digest=sha256:09dca03c3456d093fa5be86af14aad1898ad179f65d0e2a180b75fe599648015

Observation d0b0e0dc-b2d4-4fd8-821c-39efa8424a37 · outbound

This paper cites Binary Black Holes and Quantum Off-Shell Recursion.

Recursion for Differential Cross-Section from the Optical Theorem Binary Black Holes and Quantum Off-Shell Recursion

Reference 5

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source=pdf_text observed=2026-08-11T20:47:04.248236Z digest=sha256:eb4e5c8f51656199c358ccce177ef1ff1062baea827d0eff7376bc5e3f89675b

Observation d4e66e93-c9e5-4910-8bca-8f1404e821ad · outbound

This paper cites an unresolved cited work.

Recursion for Differential Cross-Section from the Optical Theorem Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-11T20:47:04.252197Z digest=sha256:fbf71820e115a3245e977297d8630580074c5864e9baaa248726c1d54ecd7bac

Observation 5f268008-d23b-403c-9772-250541825771 · outbound

This paper cites On amplitudes in self-dual sector of Yang-Mills theory.

Recursion for Differential Cross-Section from the Optical Theorem On amplitudes in self-dual sector of Yang-Mills theory

Reference 7

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source=pdf_text observed=2026-08-11T20:47:04.284747Z digest=sha256:b048f360c0de94c8dca49d46ede50a414abeb01b3636557108764535de088f4d

Observation 75cdcf90-1837-41d6-9f91-3a72f9f98d8e · outbound

This paper cites Gravitational SD Perturbiner.

Recursion for Differential Cross-Section from the Optical Theorem Gravitational SD Perturbiner

Reference 8

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source=pdf_text observed=2026-08-11T20:47:04.289051Z digest=sha256:65b7651e6d38edec3471a256710b84d6c94104d0474ec046bff30fcfd6847d05

Observation f2defc53-dc3e-4ca4-b35c-d8cc24f75237 · outbound

This paper cites SD Perturbiner in YM+Gravity.

Recursion for Differential Cross-Section from the Optical Theorem SD Perturbiner in YM+Gravity

Reference 9

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source=pdf_text observed=2026-08-11T20:47:04.293378Z digest=sha256:53d9d4d0a6d885dff002990eb0ec6659952e82b1f0598cd092df1f79a4f58272

Observation 54429de3-49ab-4079-9100-33c8c684d352 · outbound

This paper cites Self-dual Perturbiner in Yang-Mills theory.

Recursion for Differential Cross-Section from the Optical Theorem Self-dual Perturbiner in Yang-Mills theory

Reference 10

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local_arxiv, observed 2026-08-11T20:47:04.469121Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.297421Z digest=sha256:e5b7fc0cfafc36dd603a7f7f59f47804898e7ec421c4c9eb86b6268749429b82

Observation 7393b00f-c53a-4a77-90ff-93de1226883a · outbound

This paper cites Gravitationally dressed Parke-Taylor amplitudes.

Recursion for Differential Cross-Section from the Optical Theorem Gravitationally dressed Parke-Taylor amplitudes

Reference 11

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source=pdf_text observed=2026-08-11T20:47:04.301436Z digest=sha256:10217a95ca0bf3a39d6b708a4b28346b3d647a44bd08d7c6f35d57cce0cb0663

Observation c254db3c-57dc-467f-8ed8-cdccfad2e395 · outbound

This paper cites an unresolved cited work.

Recursion for Differential Cross-Section from the Optical Theorem Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.305578Z digest=sha256:42733c49e9c775fa795910f7ef04ddf797c28d23fc7d385be8ec6af8bcbc8cfb

Observation 8b6c2d93-f05d-47c5-a56e-c5f46733864c · outbound

This paper cites an unresolved cited work.

Recursion for Differential Cross-Section from the Optical Theorem Unresolved cited work

Reference 13

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.309193Z digest=sha256:1202194539b78ed369c9c5bd719fcdd749f4011337ca23c217d190eaea566eec

Observation e696f442-2e32-4e05-b3d5-0f0340c8f427 · outbound

This paper cites ’t Hooft and M.

Recursion for Differential Cross-Section from the Optical Theorem ’t Hooft and M

Reference 14

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.313082Z digest=sha256:116e97d45c86f5520f36b59d3719adb2914a33751c93aa02e8817b9357a19b0c

Observation 9be671df-99fe-449d-91c7-2444a3096358 · outbound

This paper cites an unresolved cited work.

Recursion for Differential Cross-Section from the Optical Theorem Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.316858Z digest=sha256:8a23493f47f225e7bcd3bfd4322bf10cb623d7b794be6e126e4c1146100536e6

Observation f4b5524a-4fe4-4393-9f3a-8a9c08f1a4ad · outbound

This paper cites Năstase, Introduction to Quantum Field Theory.

Recursion for Differential Cross-Section from the Optical Theorem Năstase, Introduction to Quantum Field Theory

Reference 16

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source=pdf_text observed=2026-08-11T20:47:04.320928Z digest=sha256:2f54f3fb041f56735956caf7444610c44911fb6629d4af8dea52a4d77bfa09a8

Observation b673b925-77c8-407a-98c3-8f3b887ec3ea · outbound

This paper cites an unresolved cited work.

Recursion for Differential Cross-Section from the Optical Theorem Unresolved cited work

Reference 17

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raw_fallback, observed 2026-08-11T20:47:04.591318Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.324553Z digest=sha256:43c312eeca0543d342564c8ac6245ba3b43a1a9a11df36cde3997461fe77dc0e

Observation 72b02521-ab93-4d1f-a5ee-cd9e0fa30a97 · outbound

This paper cites an unresolved cited work.

Recursion for Differential Cross-Section from the Optical Theorem Unresolved cited work

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.328254Z digest=sha256:1ba939ecbebb1abae7aa9cdb846835f040a47ad1f33404a287bdad4bbec89c60

Observation 1d453d1e-05d1-4579-b403-011cef188ba6 · outbound

This paper cites chao Chou, Z.

Recursion for Differential Cross-Section from the Optical Theorem chao Chou, Z

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-11T20:47:04.569524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.331683Z digest=sha256:874ca3601bef8079a01a7d5c55127beaa312a96c34790817cac5e3bd8de29450

Observation 49ca6036-e800-4d0d-a7fa-b05cd602beaa · outbound

This paper cites an unresolved cited work.

Recursion for Differential Cross-Section from the Optical Theorem Unresolved cited work

Reference 20

Resolution
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raw_fallback, observed 2026-08-11T20:47:04.559420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:47:04.335501Z digest=sha256:c8c6daaf09de02465256e214f00563d94af0508ba0379f5e719a34ba7143d8bf

Observation 83465563-50f3-4f7e-a5a5-b4a91b2db4e6 · outbound

This paper cites One-loop off-shell amplitudes from classical equations of motion.

Recursion for Differential Cross-Section from the Optical Theorem One-loop off-shell amplitudes from classical equations of motion

Reference 21

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no resolver link, observed 2026-08-11T20:47:04.338891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:47:04.338891Z digest=sha256:e12d7c27ef3b683c4dc27c8507b2d32e09102f885e2a465b977ac14a74d6e1bb

Observation 4b6b2466-544a-491d-b174-7be1980f5f2c · outbound

This paper cites Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents.

Recursion for Differential Cross-Section from the Optical Theorem Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents

Reference 22

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no resolver link, observed 2026-08-11T20:47:04.342868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:47:04.342868Z digest=sha256:13d6c2f70cfa9e5d79d1c095b6ce28dbfb13897021ca2d8d6a8340e00f55e18d

Observation 0541aed5-a821-42a5-beeb-d17840a6fdca · outbound

This paper cites On-Shell Covariance of Quantum Field Theory Amplitudes.

Recursion for Differential Cross-Section from the Optical Theorem On-Shell Covariance of Quantum Field Theory Amplitudes

Reference 23

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source=pdf_text observed=2026-08-11T20:47:04.347301Z digest=sha256:32d633ab4be1f6274a20ee038f21f879b3914526a022ff2e1a472d1322e4a6ef

Observation b3e81dad-5b5f-4487-9091-7597fc5ed8fd · outbound

This paper cites On Amplitudes and Field Redefinitions.

Recursion for Differential Cross-Section from the Optical Theorem On Amplitudes and Field Redefinitions

Reference 24

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no resolver link, observed 2026-08-11T20:47:04.351554Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:47:04.351554Z digest=sha256:0dcf6b3c9ed80abb9189abd103567d8de16eb353b859cdd4f55e2deb0125d347

Observation 4c6e0096-0c6c-4f6c-b3bc-7a4049027214 · outbound

This paper cites One-loop $N$-point correlators in pure gravity.

Recursion for Differential Cross-Section from the Optical Theorem One-loop $N$-point correlators in pure gravity

Reference 25

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no resolver link, observed 2026-08-11T20:47:04.355667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:47:04.355667Z digest=sha256:ddebf25b949e8d2d0e2fa7864cd99a73d86598a4f4f5a289a5e55de6fbdfe864

Pith citing papers

Observation e433cac3-5b47-4aae-b9a5-5f5108daf50b · inbound

Systematic approach to $\ell$-loop planar integrands from the classical equation of motion cites this paper.

Systematic approach to $\ell$-loop planar integrands from the classical equation of motion Recursion for Differential Cross-Section from the Optical Theorem

Reference 27

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verified exact
arxiv_id, observed 2026-05-22T18:35:02.367549Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T18:33:36.688079Z digest=sha256:29fdd2bbe3128e99e50825c0f66f28530db498480f45979ab4d7d7c03ef6a41a

Observation 692da711-2e4d-4107-9c13-9ad26a8388ac · inbound

The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables cites this paper.

The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables Recursion for Differential Cross-Section from the Optical Theorem

Reference 24

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arxiv_id, observed 2026-05-22T16:21:46.817178Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T16:20:52.696553Z digest=sha256:867a635be11a59683510e3c48e76bd482d018bc2434de530017f7853d89fdb2b