Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T00:26:52.884933Z
Paper Citation Record · LEDGER
As of 3 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 1 inbound Pith citation observation for arXiv:2604.20377.
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 2026-05-10T00:26:52.884933Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T07:34:21.000318Z
A source-named dated measurement, never combined with another source.
Source: cited_works
60 of 60 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation adad4186-a886-44ea-af54-a6234bd3e721 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 02750bee-826b-47db-8335-8967b24b25cc · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 9b456686-5515-4d2c-b486-f518e6081a44 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory In the ghost sewing procedure,b l orc l must be in the first position, likeb lP =b lBP
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation d59b0cea-519a-43cd-8e20-e39c9b01fd91 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory there arem ℓ sets in total
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 20717554-e38d-4e8e-8ca8-0288cbbb6870 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory There is only 1 case for a givenkand a given set
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 24dbc8cc-14c4-424b-83c7-57cb6590ab51 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Then do the replacement:A aℓµAbℓν → ηµν/l2 ℓ,c bℓ baℓ →1/l 2 ℓ, andb bℓ caℓ → −1/l 2 ℓ together withk aℓ =−k bℓ =l ℓ
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 8b646cc7-eb3f-4784-ad17-819950aaaf93 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Fi- nally we will obtain am ℓ-wayℓ-loop kernel from (ℓ−1)-loop kernelI kernel ℓ,mℓ
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation c9fd26e9-8304-4ef7-96d4-36a5fe783a10 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 44bc240b-19ab-402a-8a42-d4ed9fe53f0b · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation bbf24210-a9f1-4e86-b4e9-62b292146230 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 5d269a31-4bb4-4c7f-b754-dff0bff5e76e · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory In the ancillary file, we have listed 2-way 2-loop kernels for both the pure gluon sector and the entire kernel with ghost contributions
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation b69d5daa-add5-44ec-99af-f9be04e221c8 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Hence, once we construct the pure gluon sector in a very organized way, the amplitude relations will be easier to find
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 6ce206af-5f0c-4369-99f9-1d21398df35d · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Systematic approach to $\ell$-loop planar integrands from the classical equation of motion
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 007acd6a-5d5f-4773-b1a0-8d9916356ad7 · outbound
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 2026-08-03T06:30:56.289259+00:00.
Observation d5cfd3f1-266e-4ec0-ac9f-9ec23111bcc7 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory On differential operators and unifying relations for $1$-loop Feynman integrands
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 4b18205e-24b4-450c-af99-c382e74c1f27 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Transmutation operators and expansions for $1$-loop Feynman integrands
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation e4108e7f-6117-4c82-8690-1be68d1d0647 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation bc3fc2cf-3530-44d8-bd02-674cdc39eebd · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Expansion formula of one-loop Einstein-Yang-Mills integrand
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation eee8c639-c1df-4a4b-8a3c-39205f572d4b · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Du, C.-H
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 8101eb5d-ab59-4c1c-91ef-dd3a6682d651 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Xie and Y.-J
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 421ea19e-e370-47dd-9689-e54c1b73e056 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation b3666fa7-c706-4ee0-ab1a-577b1ac93836 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory All Loop Scattering As A Counting Problem
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 8eba0d83-fc55-4c67-a6b3-a024cbf11021 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory All Loop Scattering For All Multiplicity
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 7afabe80-8afb-4581-bbf8-5adc1676afc7 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Surface Kinematics and "The" Yang-Mills Integrand
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 6dbfd8b6-9ce2-4d92-b8b6-6f310de2963b · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory The Cut Equation
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 0fd41ab6-2ea0-427a-bade-00db405ce1c3 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory All-loop planar integrands in Yang-Mills theory from recursion
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation d6127bba-abb0-473d-85d0-eac80a027ea9 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 9e73363c-b512-4af7-9e45-8c3cdec43fef · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory A Type of Unifying Relation in (A)dS Spacetime
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 1805ba31-0760-4d75-8484-6bd3fcb12a5c · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory The off-shell expansion relation of the Yang-Mills scalar theory
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation aa4314c6-ca9f-4f06-bda4-daf2919716f1 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Off-shell extended graphic rule and the expansion of Berends-Giele currents in Yang-Mills theory
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 8f15d522-878a-4f24-a227-588e3fa14d20 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Berends-Giele currents for extended gravity
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 62b247f4-1fc1-421b-aedc-313bab5352a1 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory One-loop off-shell amplitudes from classical equations of motion
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation c3e131f6-3c84-47b0-b29c-ade6dd4d4528 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory One-loop same helicity YM amplitudes from BG currents
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation f1847218-cfde-4523-9449-111f303a0025 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 2f884253-4348-4c0e-ac7b-6f8b3cd68f84 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation a0418833-7428-43f0-8de0-590f6d1cb3a7 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory A recursive method for SYM n-point tree amplitudes
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 7f6cc850-9c4f-4f71-ba5f-e2b16301c237 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Berends-Giele recursions and the BCJ duality in superspace and components
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 38d2972c-8926-46b2-9aac-75ff025976ec · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Berends-Giele recursion for double-color-ordered amplitudes
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation c97bf864-5ac4-424d-8dbf-125c35ac586a · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Quantum Off-Shell Recursion Relation
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 228689aa-62a8-40af-b6c9-d87bb899ed45 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory New recursions for tree-level correlators in (Anti) de Sitter space
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 58d5fce7-65e2-4177-bf07-dfa3f2188f03 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 4ee6a44d-509b-4dec-ba30-876e4bd6b2cf · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Perturbations of General Relativity to All Orders and the General $n^{\rm th}$ Order Terms
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 8ab78d66-728e-4cd8-ba2e-e236576099f2 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Binary Black Holes and Quantum Off-Shell Recursion
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 4d327b40-4b64-42cc-87b5-a2700406bf4e · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Multiparticle solutions to Einstein's equations
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 5070b941-2b45-4445-8da6-ed1928aab943 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Celestial Berends-Giele current
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 27a0e3a0-32b6-4e6d-8a96-b84d8a811b6f · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Celestial self-dual Yang-Mills theory: a new formula and the OPE limit
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation a508f2e4-6a10-4d47-b3b5-0bdd7ed29ac0 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory SD Perturbiner in YM+Gravity
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation d6cd9d51-35a1-403c-9592-18da07d9a54c · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory On tree form-factors in (supersymmetric) Yang-Mills theory
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 9e89145d-2ee9-41ed-86f6-e173587e801a · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation aa4c6054-9ad1-48e1-abea-a383eff54852 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory On form-factors in Sin(h)-Gordon theory
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 9020d577-57c8-4553-a79b-07e119fa5438 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Perturbiner Methods for Effective Field Theories and the Double Copy
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 9478af63-f636-4b4e-a073-7ce27fd2037c · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Generating Feynman Diagrams and Amplitudes with FeynArts 3
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 235ae05e-e924-4243-9b8e-3fd82e025282 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Unifying Relations for Scattering Amplitudes
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation b2aba58a-151f-47ef-a175-18579e796535 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory One-loop $N$-point correlators in pure gravity
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation f422e976-8172-473e-8351-695ae014cd4c · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory flip”, we mean “turn upside down
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation cefb7aac-54c8-4192-99c8-d0dcb7eb8507 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Here, we present the recursion for the bi-adjoint scalar theory and useϕ P|Q to denote the bi-adjoint scalar multi-particle currents
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 169a1be9-f6b9-411e-9dc1-ccb9b21727fc · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory there arem ℓ sets in total
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 176bec55-c3ed-48dd-990c-bb84a429c190 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory There is only 1 case for a givenkand a given set
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 6583d54a-73f6-4f30-8896-f8b2fff659a7 · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Then replaceϕ aℓ|aℓ ϕbℓ|bℓ with 1/l 2 ℓ andk aℓ =−k bℓ =l ℓ
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 4e517f75-c1ae-4635-81bd-d308a786e70a · outbound
Off-shell recursion for all-loop planar integrands in Yang-Mills theory Finally we will obtain am ℓ-wayℓ-loop kernel from (ℓ−1)-loop kernelI kernel ℓ,mℓ
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 0496843c-a666-4c59-a622-903f0f8486e3 · inbound
Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter Off-shell recursion for all-loop planar integrands in Yang-Mills theory
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.