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Paper Citation Record · LEDGER

On one-loop amplitudes in gauge theories

As of 19 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 6 inbound Pith citation observations for arXiv:2412.19629.

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

pith.paper-citation-record.v1
2412.19629 v1

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measured 55 of 55 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T00:13:59.729760Z

measured 61 of 61 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:27:25.472143Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T09:07:47.277455Z

Reference resolution

55 of 55 outbound references displayed

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Outbound references

Observation 6631a0eb-e3db-46bc-ae0d-09ac41192428 · outbound

This paper cites Scattering Amplitudes.

On one-loop amplitudes in gauge theories Scattering Amplitudes

Reference 1

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Observation 791af914-2555-496b-aab1-1255a06e2fb2 · outbound

This paper cites reg- ulators.

On one-loop amplitudes in gauge theories reg- ulators

Reference 2

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Observation 7344788b-6d64-4a2e-9c38-982eccdab8f1 · outbound

This paper cites an unresolved cited work.

On one-loop amplitudes in gauge theories Unresolved cited work

Reference 3

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Observation 57a7cc46-bb2c-40df-a9c9-e5dedff5f049 · outbound

This paper cites scalarblob operator.

On one-loop amplitudes in gauge theories scalarblob operator

Reference 4

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Observation d083fdf6-07d1-4b86-975d-09aaaf302a2e · outbound

This paper cites New Relations for Gauge-Theory Amplitudes.

On one-loop amplitudes in gauge theories New Relations for Gauge-Theory Amplitudes

Reference 5

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Observation a5f7d2ed-db4e-48f2-8d7c-ead13ab0acc5 · outbound

This paper cites Note that the expansion we proposed for the integrand with quadratic propagators is valid for various gauge the- ories, differing only in the prefactor.

On one-loop amplitudes in gauge theories Note that the expansion we proposed for the integrand with quadratic propagators is valid for various gauge the- ories, differing only in the prefactor

Reference 6

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Observation 8cd69233-032f-451a-8670-d8ad4fcd9c0b · outbound

This paper cites an unresolved cited work.

On one-loop amplitudes in gauge theories Unresolved cited work

Reference 7

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Observation 4edb0552-1dec-4df6-8fcb-e5a2d14979d2 · outbound

This paper cites The SAGEX Review on Scattering Amplitudes.

On one-loop amplitudes in gauge theories The SAGEX Review on Scattering Amplitudes

Reference 8

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Observation c59e0f7f-98a4-44bd-8af5-66cf5b06862a · outbound

This paper cites Tree-level amplitudes from the pure spinor superstring.

On one-loop amplitudes in gauge theories Tree-level amplitudes from the pure spinor superstring

Reference 9

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Observation d87b44b9-85ae-473a-8e94-b47ed6824b10 · outbound

This paper cites Perturbative Quantum Gravity as a Double Copy of Gauge Theory.

On one-loop amplitudes in gauge theories Perturbative Quantum Gravity as a Double Copy of Gauge Theory

Reference 10

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Observation fb886279-bb53-4ddd-a589-9b94ba0ee81b · outbound

This paper cites The Duality Between Color and Kinematics and its Applications.

On one-loop amplitudes in gauge theories The Duality Between Color and Kinematics and its Applications

Reference 11

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Observation 4ea94bf2-80d3-4ff0-878b-504770c97d71 · outbound

This paper cites Even-point Multi-loop Unitarity and its Applications: Exponentiation, Anomalies and Evanescence.

On one-loop amplitudes in gauge theories Even-point Multi-loop Unitarity and its Applications: Exponentiation, Anomalies and Evanescence

Reference 12

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Observation f16127b2-7bc6-4f1c-97d6-a80a13984a39 · outbound

This paper cites Revealing the Landscape of Globally Color-Dual Multi-loop Integrands.

On one-loop amplitudes in gauge theories Revealing the Landscape of Globally Color-Dual Multi-loop Integrands

Reference 13

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Observation c970df67-72a1-4bd6-93b1-21d30cf947c3 · outbound

This paper cites Color-Kinematics Duality with Minimal Deformation: Two-Loop Four-Gluon Amplitudes in Pure Yang-Mills Revisited.

On one-loop amplitudes in gauge theories Color-Kinematics Duality with Minimal Deformation: Two-Loop Four-Gluon Amplitudes in Pure Yang-Mills Revisited

Reference 14

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Observation 5735c5f6-10a9-4cbc-a3d0-787e372b4114 · outbound

This paper cites Applying Color-Kinematics Duality in Pure Yang-Mills at Three Loops.

On one-loop amplitudes in gauge theories Applying Color-Kinematics Duality in Pure Yang-Mills at Three Loops

Reference 15

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Observation 0cbf39c4-72e8-4418-86c2-686e609ca47c · outbound

This paper cites Global Bases for Nonplanar Loop Integrands, Generalized Unitarity, and the Double Copy to All Loop Orders.

On one-loop amplitudes in gauge theories Global Bases for Nonplanar Loop Integrands, Generalized Unitarity, and the Double Copy to All Loop Orders

Reference 16

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Observation 398b9d18-fac3-4130-8bbc-8d10b2b9ec97 · outbound

This paper cites All Loop Scattering As A Counting Problem.

On one-loop amplitudes in gauge theories All Loop Scattering As A Counting Problem

Reference 17

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Observation da45fc1c-1d54-4e8e-822e-d4782979b841 · outbound

This paper cites All Loop Scattering For All Multiplicity.

On one-loop amplitudes in gauge theories All Loop Scattering For All Multiplicity

Reference 18

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Observation be545252-4038-4c0a-b8f4-6736e93d0540 · outbound

This paper cites Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons.

On one-loop amplitudes in gauge theories Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 19

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Observation 1be6b6ce-41f7-4ce0-b143-a2708541b7f5 · outbound

This paper cites Scalar-Scaffolded Gluons and the Combinatorial Origins of Yang-Mills Theory.

On one-loop amplitudes in gauge theories Scalar-Scaffolded Gluons and the Combinatorial Origins of Yang-Mills Theory

Reference 20

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Observation a7739a0d-a88a-4467-8747-b3817a4b0ef6 · outbound

This paper cites NLSM $\subset$ Tr$(\phi^3)$.

On one-loop amplitudes in gauge theories NLSM $\subset$ Tr$(\phi^3)$

Reference 21

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Observation 284ba208-51aa-4e27-a552-404e364c3fb1 · outbound

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On one-loop amplitudes in gauge theories Tropical Amplitudes For Colored Lagrangians

Reference 22

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Observation ef895b13-1cf1-4910-819a-dc5977494fee · outbound

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On one-loop amplitudes in gauge theories Scattering Equations and KLT Orthogonality

Reference 23

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Observation b1924532-a1c9-4476-a4ed-f7e92fd52066 · outbound

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

On one-loop amplitudes in gauge theories Scattering of Massless Particles: Scalars, Gluons and Gravitons

Reference 24

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Observation 8dce1ba3-fd85-4696-8071-d5825728cb50 · outbound

This paper cites Scattering of Massless Particles in Arbitrary Dimension.

On one-loop amplitudes in gauge theories Scattering of Massless Particles in Arbitrary Dimension

Reference 25

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Observation fff52a3d-5e1d-409d-8c78-293fcbdb506a · outbound

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On one-loop amplitudes in gauge theories Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM

Reference 26

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Observation d0fd397a-9104-477b-9d78-3c7827c399e5 · outbound

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

On one-loop amplitudes in gauge theories Universal expansions of scattering amplitudes for gravitons, gluons and Goldstone particles

Reference 27

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Observation c7933d4f-e037-4701-8a49-411feae37281 · outbound

This paper cites One-loop Correlators and BCJ Numerators from Forward Limits.

On one-loop amplitudes in gauge theories One-loop Correlators and BCJ Numerators from Forward Limits

Reference 28

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Observation b8a63750-84e6-4cfb-bf73-0eec639d7646 · outbound

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On one-loop amplitudes in gauge theories Surface Kinematics and "The" Yang-Mills Integrand

Reference 29

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Observation 6892a6d4-2604-4051-9ca8-77d416ef54b2 · outbound

This paper cites One-loop Scattering Equations and Amplitudes from Forward Limit.

On one-loop amplitudes in gauge theories One-loop Scattering Equations and Amplitudes from Forward Limit

Reference 30

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Observation 5c614e27-19dc-4105-bcd5-f1ef51f61e5b · outbound

This paper cites One-Loop Corrections from Higher Dimensional Tree Amplitudes.

On one-loop amplitudes in gauge theories One-Loop Corrections from Higher Dimensional Tree Amplitudes

Reference 31

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Observation ac583f33-939f-4b88-af2c-380765cd9c08 · outbound

This paper cites One-loop amplitudes on the Riemann sphere.

On one-loop amplitudes in gauge theories One-loop amplitudes on the Riemann sphere

Reference 32

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Observation 5d049e0f-54c6-461a-8d3b-47911f94ddd5 · outbound

This paper cites New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level.

On one-loop amplitudes in gauge theories New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level

Reference 33

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Observation 3e044acd-17e3-43ee-9941-e069deb6743f · outbound

This paper cites New BCJ representations for one-loop amplitudes in gauge theories and gravity.

On one-loop amplitudes in gauge theories New BCJ representations for one-loop amplitudes in gauge theories and gravity

Reference 34

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Observation edaf07ae-a047-4053-a80f-97d3c76a5f44 · outbound

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On one-loop amplitudes in gauge theories Gluons and gravitons at one loop from ambitwistor strings

Reference 35

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Observation 6ed0dbb3-611c-4bce-a7f8-d11f1ada6818 · outbound

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On one-loop amplitudes in gauge theories Loops and trees

Reference 36

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Observation f9aa03ff-37b0-4ee1-83a3-d86b9d114fc1 · outbound

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On one-loop amplitudes in gauge theories Perfecting one-loop BCJ numerators in SYM and supergravity

Reference 37

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This paper cites Evaluation of the CHY Gauge Amplitude.

On one-loop amplitudes in gauge theories Evaluation of the CHY Gauge Amplitude

Reference 38

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Observation 84587032-2ae9-4097-8264-0854b3b7fde0 · outbound

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

On one-loop amplitudes in gauge theories Expansion of Einstein-Yang-Mills Amplitude

Reference 39

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unresolved
no resolver link, observed 2026-08-11T00:13:59.651295Z

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source=pdf_text observed=2026-08-11T00:13:59.651295Z digest=sha256:7f92a5c78fde5782ddbe602412b571f3db3fd6c16b4acb4d472a92623b7a4d1e

Observation e701453f-25e6-4853-91be-c16ab3b252db · outbound

This paper cites BCJ numerators from reduced Pfaffian.

On one-loop amplitudes in gauge theories BCJ numerators from reduced Pfaffian

Reference 40

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unresolved
no resolver link, observed 2026-08-11T00:13:59.656065Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:13:59.656065Z digest=sha256:96f94e1b09baeb121dc4dbb0b21b2211acf89c6da4349e385f6683b8fc9c92c1

Observation c51faa2e-5351-4d9c-b03d-86e3a385cfde · outbound

This paper cites Simplifying $D$-Dimensional Physical-State Sums in Gauge Theory and Gravity.

On one-loop amplitudes in gauge theories Simplifying $D$-Dimensional Physical-State Sums in Gauge Theory and Gravity

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-11T00:13:59.660753Z

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source=pdf_text observed=2026-08-11T00:13:59.660753Z digest=sha256:58385b158a213a4707d7c82f3a5cecd01e08ccc7d078aeea3633a5424d166f52

Observation ca0b9ac5-e582-41aa-8302-3042a1a8e058 · outbound

This paper cites an unresolved cited work.

On one-loop amplitudes in gauge theories Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:14:00.691533Z

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.

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Observation dd1a5ab4-120e-4638-8e77-10a29b9c683c · outbound

This paper cites an unresolved cited work.

On one-loop amplitudes in gauge theories Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:14:00.676309Z

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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=2026-08-11T00:13:59.670504Z digest=sha256:7204013e3b3a0e9e53be86918a5e93218fae2a89ada980acfdb698e4a7b1c804

Observation a30c31c3-08bf-4f4d-adc7-05cf70e3904e · outbound

This paper cites an unresolved cited work.

On one-loop amplitudes in gauge theories Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:14:00.661085Z

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=2026-08-11T00:13:59.675612Z digest=sha256:a4bbda78627e8a8bb012c03b0c5fa570087bf981cb475b8552e9ab717dcc9b11

Observation 525ab9f6-3be1-45e5-9eb1-3cbd2cb063a8 · outbound

This paper cites Unifying Relations for Scattering Amplitudes.

On one-loop amplitudes in gauge theories Unifying Relations for Scattering Amplitudes

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T00:13:59.680018Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:13:59.680018Z digest=sha256:08ca1019e1c5192bcc33ca1e45c2ec36a1ded4636d26c9e60e38e578b84430e4

Observation a8f979ba-e582-41bb-aeac-78b78c31daf0 · outbound

This paper cites an unresolved cited work.

On one-loop amplitudes in gauge theories Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-11T00:14:00.645039Z

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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=2026-08-11T00:13:59.685486Z digest=sha256:9e8195f57bec805f87a0839bb286bdcc4e8f4f736d8953883c823daa212ec40d

Observation 506587e9-5f4f-4d30-bafc-1e3ffec9fee3 · outbound

This paper cites Arkani-Hamed, H.

On one-loop amplitudes in gauge theories Arkani-Hamed, H

Reference 47

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T00:13:59.690218Z digest=sha256:ccc27d4326687a6c45cdc29940e0cd129f275f0573a7abf350208f1be8e73ab4

Observation 2274c2d8-2c9b-4b9b-ab89-98bb3e772ce6 · outbound

This paper cites One-loop matrix elements of effective superstring interactions: $\alpha'$-expanding loop integrands.

On one-loop amplitudes in gauge theories One-loop matrix elements of effective superstring interactions: $\alpha'$-expanding loop integrands

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-11T00:13:59.694657Z

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source=pdf_text observed=2026-08-11T00:13:59.694657Z digest=sha256:2bab9399f36987e78fc5de882ccd7fe41c11f316b271cbae1c072a181c8eeb58

Observation 8b1ecae8-d1cb-4261-bf97-6ae15dd54bb3 · outbound

This paper cites One-loop diagrams with quadratic propagators from the worldsheet.

On one-loop amplitudes in gauge theories One-loop diagrams with quadratic propagators from the worldsheet

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-11T00:14:00.006835Z

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=2026-08-11T00:13:59.699282Z digest=sha256:231ae5a895d73ce9aacdf053829e08bb401e2665725d4e68423320b77d38a037

Observation 4416f5c7-3aa2-4011-9d66-9eaeeaa7c719 · outbound

This paper cites Basis decompositions of genus-one string integrals.

On one-loop amplitudes in gauge theories Basis decompositions of genus-one string integrals

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-11T00:13:59.983569Z

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=2026-08-11T00:13:59.704179Z digest=sha256:5dcc62d4d24f625eba8c6f15baa9fe194c7fe02f4d01c97de54680135e958e99

Observation 689e08bc-566d-4bcf-bdec-bb1061b6f4f5 · outbound

This paper cites One-loop Bern-Carrasco-Johansson Numerators on Quadratic Propagators from the Worldsheet.

On one-loop amplitudes in gauge theories One-loop Bern-Carrasco-Johansson Numerators on Quadratic Propagators from the Worldsheet

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-11T00:13:59.962874Z

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=2026-08-11T00:13:59.708842Z digest=sha256:0a2e3fe92347452174be25bcdbf0504404a88b849f548ce70699077a60cb24dc

Observation 6f7ef347-6b42-43c9-ba09-e2f4511da885 · outbound

This paper cites Advanced tools for basis decompositions of genus-one string integrals.

On one-loop amplitudes in gauge theories Advanced tools for basis decompositions of genus-one string integrals

Reference 52

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T00:13:59.832887Z

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=2026-08-11T00:13:59.713380Z digest=sha256:d0febe578f3b87ecc1fe83a9c29cdcd7bad5e8267ec20cbf3a50d4b8eb9a87e6

Observation cd8ff623-208b-4880-887f-2ac107bb55b2 · outbound

This paper cites Pinching rules in the chiral-splitting description of one-loop string amplitudes.

On one-loop amplitudes in gauge theories Pinching rules in the chiral-splitting description of one-loop string amplitudes

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-11T00:13:59.811298Z

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=2026-08-11T00:13:59.718867Z digest=sha256:2e51cd202254fd765788d7c023404db345aae4643dc556f82a9a251ca562268d

Observation 67b895ac-3d41-4703-9567-ddc2e48ce6a3 · outbound

This paper cites Superstring amplitudes from BCJ numerators at one loop.

On one-loop amplitudes in gauge theories Superstring amplitudes from BCJ numerators at one loop

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-11T00:13:59.723908Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:13:59.723908Z digest=sha256:42d1647df8d4f71017a3c6c371ded99f635718fddbfb6df42d7c810a4d0b0b38

Observation 77ab6cb3-1d86-40a1-802c-e1f6920e2e4b · outbound

This paper cites Extracting quadratic propagators by refined graphic rule.

On one-loop amplitudes in gauge theories Extracting quadratic propagators by refined graphic rule

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-11T00:13:59.772835Z

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=2026-08-11T00:13:59.729760Z digest=sha256:7407382d29a5f5464b85fd6255fd2da2de457fff7695bdb86dbffae7034370ab

Pith citing papers

Observation f555bddc-3067-4c13-a057-ddb76002f5ea · 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 On one-loop amplitudes in gauge theories

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-22T18:35:02.378651Z

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.

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Observation 68a12b65-d45a-48a3-aa71-4a790c9103b9 · inbound

Form factors from string amplitudes cites this paper.

Form factors from string amplitudes On one-loop amplitudes in gauge theories

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-16T11:27:25.472143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:27:25.472143Z digest=sha256:4ebd846b226eca5f34f5c2ce636c6fb1ecdec8bcfc3b8058e4d567203ccec6f9

Observation d302ec77-2596-485f-a1df-ab9b4a3a1f7b · inbound

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

On differential operators for scalar-scaffolded gluons On one-loop amplitudes in gauge theories

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-03T15:46:22.456249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:46:22.456249Z digest=sha256:a85c9fa3842da88b394ac487c04af554ae89c19c9cc8deb60a6e2b3515b03eeb

Observation 007acd6a-5d5f-4773-b1a0-8d9916356ad7 · inbound

Off-shell recursion for all-loop planar integrands in Yang-Mills theory cites this paper.

Off-shell recursion for all-loop planar integrands in Yang-Mills theory On one-loop amplitudes in gauge theories

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-10T00:29:47.235249Z

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=2026-05-10T00:26:52.884933Z digest=sha256:9e8d29e528fcdf17bf8860a1c2a9bec47ef44c12ca690bc2dfed23556e37075d

Observation 1632298e-cc5a-4c2f-a402-5dd1007b1746 · inbound

Planar loop integrands from cuts in $D$ dimensions cites this paper.

Planar loop integrands from cuts in $D$ dimensions On one-loop amplitudes in gauge theories

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-07-01T17:25:51.173411Z

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=2026-06-29T03:47:21.331582Z digest=sha256:0833cb1efb57e74d1da07172eb60139fdf4244e25e0176716c71bbeb8b3055e2

Observation bff25a9e-952b-4c5b-a9ec-22a6502dba25 · inbound

Uniqueness and Analytic Structures of Bosonic String Effective Amplitudes cites this paper.

Uniqueness and Analytic Structures of Bosonic String Effective Amplitudes On one-loop amplitudes in gauge theories

Reference 57

Resolution
verified exact
arxiv_id, observed 2026-07-03T09:07:47.278902Z

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=2026-07-03T08:59:44.209439Z digest=sha256:e07da9f2114e0659868d39acf0b668fe035b880dca21b754fc739ad8436faa37