Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:13:59.729760Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 5 inbound Pith citation observations for arXiv:2412.19629.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:13:59.729760Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T15:46:22.456249Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T09:07:47.277455Z
55 of 55 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 6631a0eb-e3db-46bc-ae0d-09ac41192428 · outbound
On one-loop amplitudes in gauge theories Scattering Amplitudes
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 791af914-2555-496b-aab1-1255a06e2fb2 · outbound
On one-loop amplitudes in gauge theories reg- ulators
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7344788b-6d64-4a2e-9c38-982eccdab8f1 · outbound
On one-loop amplitudes in gauge theories Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 57a7cc46-bb2c-40df-a9c9-e5dedff5f049 · outbound
On one-loop amplitudes in gauge theories scalarblob operator
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d083fdf6-07d1-4b86-975d-09aaaf302a2e · outbound
On one-loop amplitudes in gauge theories New Relations for Gauge-Theory Amplitudes
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5f7d2ed-db4e-48f2-8d7c-ead13ab0acc5 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8cd69233-032f-451a-8670-d8ad4fcd9c0b · outbound
On one-loop amplitudes in gauge theories Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4edb0552-1dec-4df6-8fcb-e5a2d14979d2 · outbound
On one-loop amplitudes in gauge theories The SAGEX Review on Scattering Amplitudes
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c59e0f7f-98a4-44bd-8af5-66cf5b06862a · outbound
On one-loop amplitudes in gauge theories Tree-level amplitudes from the pure spinor superstring
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d87b44b9-85ae-473a-8e94-b47ed6824b10 · outbound
On one-loop amplitudes in gauge theories Perturbative Quantum Gravity as a Double Copy of Gauge Theory
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb886279-bb53-4ddd-a589-9b94ba0ee81b · outbound
On one-loop amplitudes in gauge theories The Duality Between Color and Kinematics and its Applications
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ea94bf2-80d3-4ff0-878b-504770c97d71 · outbound
On one-loop amplitudes in gauge theories Even-point Multi-loop Unitarity and its Applications: Exponentiation, Anomalies and Evanescence
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f16127b2-7bc6-4f1c-97d6-a80a13984a39 · outbound
On one-loop amplitudes in gauge theories Revealing the Landscape of Globally Color-Dual Multi-loop Integrands
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c970df67-72a1-4bd6-93b1-21d30cf947c3 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5735c5f6-10a9-4cbc-a3d0-787e372b4114 · outbound
On one-loop amplitudes in gauge theories Applying Color-Kinematics Duality in Pure Yang-Mills at Three Loops
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0cbf39c4-72e8-4418-86c2-686e609ca47c · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 398b9d18-fac3-4130-8bbc-8d10b2b9ec97 · outbound
On one-loop amplitudes in gauge theories All Loop Scattering As A Counting Problem
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da45fc1c-1d54-4e8e-822e-d4782979b841 · outbound
On one-loop amplitudes in gauge theories All Loop Scattering For All Multiplicity
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be545252-4038-4c0a-b8f4-6736e93d0540 · outbound
On one-loop amplitudes in gauge theories Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1be6b6ce-41f7-4ce0-b143-a2708541b7f5 · outbound
On one-loop amplitudes in gauge theories Scalar-Scaffolded Gluons and the Combinatorial Origins of Yang-Mills Theory
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7739a0d-a88a-4467-8747-b3817a4b0ef6 · outbound
On one-loop amplitudes in gauge theories NLSM $\subset$ Tr$(\phi^3)$
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 284ba208-51aa-4e27-a552-404e364c3fb1 · outbound
On one-loop amplitudes in gauge theories Tropical Amplitudes For Colored Lagrangians
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef895b13-1cf1-4910-819a-dc5977494fee · outbound
On one-loop amplitudes in gauge theories Scattering Equations and KLT Orthogonality
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1924532-a1c9-4476-a4ed-f7e92fd52066 · outbound
On one-loop amplitudes in gauge theories Scattering of Massless Particles: Scalars, Gluons and Gravitons
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8dce1ba3-fd85-4696-8071-d5825728cb50 · outbound
On one-loop amplitudes in gauge theories Scattering of Massless Particles in Arbitrary Dimension
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fff52a3d-5e1d-409d-8c78-293fcbdb506a · outbound
On one-loop amplitudes in gauge theories Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0fd397a-9104-477b-9d78-3c7827c399e5 · outbound
On one-loop amplitudes in gauge theories Universal expansions of scattering amplitudes for gravitons, gluons and Goldstone particles
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7933d4f-e037-4701-8a49-411feae37281 · outbound
On one-loop amplitudes in gauge theories One-loop Correlators and BCJ Numerators from Forward Limits
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8a63750-84e6-4cfb-bf73-0eec639d7646 · outbound
On one-loop amplitudes in gauge theories Surface Kinematics and "The" Yang-Mills Integrand
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6892a6d4-2604-4051-9ca8-77d416ef54b2 · outbound
On one-loop amplitudes in gauge theories One-loop Scattering Equations and Amplitudes from Forward Limit
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c614e27-19dc-4105-bcd5-f1ef51f61e5b · outbound
On one-loop amplitudes in gauge theories One-Loop Corrections from Higher Dimensional Tree Amplitudes
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac583f33-939f-4b88-af2c-380765cd9c08 · outbound
On one-loop amplitudes in gauge theories One-loop amplitudes on the Riemann sphere
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d049e0f-54c6-461a-8d3b-47911f94ddd5 · outbound
On one-loop amplitudes in gauge theories New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e044acd-17e3-43ee-9941-e069deb6743f · outbound
On one-loop amplitudes in gauge theories New BCJ representations for one-loop amplitudes in gauge theories and gravity
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation edaf07ae-a047-4053-a80f-97d3c76a5f44 · outbound
On one-loop amplitudes in gauge theories Gluons and gravitons at one loop from ambitwistor strings
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ed0dbb3-611c-4bce-a7f8-d11f1ada6818 · outbound
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9aa03ff-37b0-4ee1-83a3-d86b9d114fc1 · outbound
On one-loop amplitudes in gauge theories Perfecting one-loop BCJ numerators in SYM and supergravity
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 416311d8-8222-4fa1-9eed-5720b69143b5 · outbound
On one-loop amplitudes in gauge theories Evaluation of the CHY Gauge Amplitude
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84587032-2ae9-4097-8264-0854b3b7fde0 · outbound
On one-loop amplitudes in gauge theories Expansion of Einstein-Yang-Mills Amplitude
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e701453f-25e6-4853-91be-c16ab3b252db · outbound
On one-loop amplitudes in gauge theories BCJ numerators from reduced Pfaffian
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c51faa2e-5351-4d9c-b03d-86e3a385cfde · outbound
On one-loop amplitudes in gauge theories Simplifying $D$-Dimensional Physical-State Sums in Gauge Theory and Gravity
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca0b9ac5-e582-41aa-8302-3042a1a8e058 · outbound
On one-loop amplitudes in gauge theories Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dd1a5ab4-120e-4638-8e77-10a29b9c683c · outbound
On one-loop amplitudes in gauge theories Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a30c31c3-08bf-4f4d-adc7-05cf70e3904e · outbound
On one-loop amplitudes in gauge theories Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 525ab9f6-3be1-45e5-9eb1-3cbd2cb063a8 · outbound
On one-loop amplitudes in gauge theories Unifying Relations for Scattering Amplitudes
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8f979ba-e582-41bb-aeac-78b78c31daf0 · outbound
On one-loop amplitudes in gauge theories Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 506587e9-5f4f-4d30-bafc-1e3ffec9fee3 · outbound
On one-loop amplitudes in gauge theories Arkani-Hamed, H
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2274c2d8-2c9b-4b9b-ab89-98bb3e772ce6 · outbound
On one-loop amplitudes in gauge theories One-loop matrix elements of effective superstring interactions: $\alpha'$-expanding loop integrands
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b1ecae8-d1cb-4261-bf97-6ae15dd54bb3 · outbound
On one-loop amplitudes in gauge theories One-loop diagrams with quadratic propagators from the worldsheet
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4416f5c7-3aa2-4011-9d66-9eaeeaa7c719 · outbound
On one-loop amplitudes in gauge theories Basis decompositions of genus-one string integrals
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 689e08bc-566d-4bcf-bdec-bb1061b6f4f5 · outbound
On one-loop amplitudes in gauge theories One-loop Bern-Carrasco-Johansson Numerators on Quadratic Propagators from the Worldsheet
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6f7ef347-6b42-43c9-ba09-e2f4511da885 · outbound
On one-loop amplitudes in gauge theories Advanced tools for basis decompositions of genus-one string integrals
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cd8ff623-208b-4880-887f-2ac107bb55b2 · outbound
On one-loop amplitudes in gauge theories Pinching rules in the chiral-splitting description of one-loop string amplitudes
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 67b895ac-3d41-4703-9567-ddc2e48ce6a3 · outbound
On one-loop amplitudes in gauge theories Superstring amplitudes from BCJ numerators at one loop
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77ab6cb3-1d86-40a1-802c-e1f6920e2e4b · outbound
On one-loop amplitudes in gauge theories Extracting quadratic propagators by refined graphic rule
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f555bddc-3067-4c13-a057-ddb76002f5ea · inbound
Systematic approach to $\ell$-loop planar integrands from the classical equation of motion On one-loop amplitudes in gauge theories
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d302ec77-2596-485f-a1df-ab9b4a3a1f7b · inbound
On differential operators for scalar-scaffolded gluons On one-loop amplitudes in gauge theories
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 007acd6a-5d5f-4773-b1a0-8d9916356ad7 · inbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory On one-loop amplitudes in gauge theories
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1632298e-cc5a-4c2f-a402-5dd1007b1746 · inbound
Planar loop integrands from cuts in $D$ dimensions On one-loop amplitudes in gauge theories
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bff25a9e-952b-4c5b-a9ec-22a6502dba25 · inbound
Uniqueness and Analytic Structures of Bosonic String Effective Amplitudes On one-loop amplitudes in gauge theories
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.