Paper Citation Record · LEDGER

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2608.05973.

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

pith.paper-citation-record.v1
2608.05973 v1

Coverage vector

measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T20:09:24.096259Z

measured 35 of 35 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

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Reference resolution

35 of 35 outbound references displayed

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External citation measurements

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Outbound references

Observation 6d89cf1b-9506-44e2-8f6a-5b92bbe38db3 · outbound

This paper cites Under the full S5 symmetry, there are 42 inequivalent topologies, shown in Fig.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Under the full S5 symmetry, there are 42 inequivalent topologies, shown in Fig

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:09:24.962191Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d1e2392b-da68-4e3d-b87d-88711ced2cdb · outbound

This paper cites Imposing dual Jacobi relations on all four-point subgraphs then gener- ates the remaining 40 numerators from the two masters.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Imposing dual Jacobi relations on all four-point subgraphs then gener- ates the remaining 40 numerators from the two masters

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:09:24.946769Z

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Observation 0abade8e-3091-4013-97ec-161a1cfac433 · outbound

This paper cites Gravity as the Square of Gauge Theory.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Gravity as the Square of Gauge Theory

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:23.961972Z

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Unavailable: canonical work link unavailable.

Observation cd442d06-592b-49e0-9d52-572a499ca637 · outbound

This paper cites Permutations mixing the two sets generate additional distinct graphs and re- quire a larger spanning set of unitarity cuts.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Permutations mixing the two sets generate additional distinct graphs and re- quire a larger spanning set of unitarity cuts

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:09:24.930323Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d73e5e19-222d-4b6d-b918-bfcf3762118a · outbound

This paper cites an unresolved cited work.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:09:24.913216Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 05ce6588-9770-4e04-a300-885fd775efb0 · outbound

This paper cites However, as we will see below, this suc- cess does not proceed to the gravity case.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA However, as we will see below, this suc- cess does not proceed to the gravity case

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:09:24.895348Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0024ee73-e47f-4689-9fa9-7fb6cc790cec · outbound

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

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA The Duality Between Color and Kinematics and its Applications

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:23.985930Z

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Observation 9e96aa68-9358-4f2f-abbe-5bcd20f12e23 · outbound

This paper cites an unresolved cited work.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:09:24.878572Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4a76134b-6832-475b-a82f-cad6141ec2ab · outbound

This paper cites New Relations for Gauge-Theory Amplitudes.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA New Relations for Gauge-Theory Amplitudes

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:23.951291Z

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Observation eaab677b-13a2-479c-a354-7a47206f42cf · outbound

This paper cites This suggests that the discrepancy may have a systematic simple pattern for general loops.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA This suggests that the discrepancy may have a systematic simple pattern for general loops

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:09:24.860034Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 13530624-9d13-46f0-864b-1967ce89f73c · outbound

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

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Perturbative Quantum Gravity as a Double Copy of Gauge Theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:23.956537Z

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Observation 72c8f35b-4f04-4eca-9369-68b3dbdc5462 · outbound

This paper cites Minimal Basis for Gauge Theory Amplitudes.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Minimal Basis for Gauge Theory Amplitudes

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:23.967250Z

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Observation 1f45e21e-95bd-4368-8578-1a92a01328dd · outbound

This paper cites Open & Closed vs. Pure Open String Disk Amplitudes.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Open & Closed vs. Pure Open String Disk Amplitudes

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:23.972535Z

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Observation 52a29870-3972-487f-ad92-6fac52a7cfa4 · outbound

This paper cites Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:23.979280Z

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Observation 47653a58-9883-4924-86e5-6889568a33b6 · outbound

This paper cites The SAGEX Review on Scattering Amplitudes, Chapter 2: An Invitation to Color-Kinematics Duality and the Double Copy.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA The SAGEX Review on Scattering Amplitudes, Chapter 2: An Invitation to Color-Kinematics Duality and the Double Copy

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:23.991131Z

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Observation af85be38-9bcf-495c-9a82-3bf3c50e5962 · outbound

This paper cites Snowmass White Paper: the Double Copy and its Applications.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Snowmass White Paper: the Double Copy and its Applications

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:23.995925Z

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Observation d9d87d9f-ccbf-4d72-8909-7709ebf94944 · outbound

This paper cites Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.002387Z

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Observation 79d16ea0-23a2-492d-9961-664a8623d4d1 · outbound

This paper cites Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.007453Z

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Observation 770b50c6-2983-4d82-bdc1-6e2893f01a6f · outbound

This paper cites Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.011801Z

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Observation d871c7e6-75b9-4197-ab9a-ef9ae71ca5fa · outbound

This paper cites Three-Loop Superfiniteness of N=8 Supergravity.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Three-Loop Superfiniteness of N=8 Supergravity

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.016742Z

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Observation 4331b7b6-b19d-45e1-b80c-205f49ad22fa · outbound

This paper cites Color-kinematic Duality for Form Factors.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Color-kinematic Duality for Form Factors

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.022469Z

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Unavailable: canonical work link unavailable.

Observation ba9eeb77-05ec-40ed-ad01-e3726a6336d1 · outbound

This paper cites Full-color three-loop three-point form factors in N=4 SYM.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Full-color three-loop three-point form factors in N=4 SYM

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.028104Z

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Unavailable: canonical work link unavailable.

Observation c70a465d-3c1f-47e3-9b7f-8712188f046a · outbound

This paper cites an unresolved cited work.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:09:24.842410Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 45e01cd7-328e-45e9-9e5b-fa40aa79d513 · outbound

This paper cites an unresolved cited work.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:09:24.826860Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9ff6ab42-42a8-4827-877d-7f981fe762d9 · outbound

This paper cites Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:09:24.569075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a6d16777-9e69-4648-a939-80ab844c7b28 · outbound

This paper cites The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.050249Z

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Observation 8357cd47-636e-4191-90bf-13afa11ae214 · outbound

This paper cites Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:09:24.450888Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 450138e5-56f1-4020-8c28-0ab6c7fde6c0 · outbound

This paper cites A note on the UV behaviour of maximally supersymmetric Yang-Mills theories.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA A note on the UV behaviour of maximally supersymmetric Yang-Mills theories

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.061544Z

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Unavailable: canonical work link unavailable.

Observation 2798cfa8-f47b-406d-8c0f-ada97b5f40af · outbound

This paper cites 5 loops in 24/5 dimensions.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA 5 loops in 24/5 dimensions

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:09:24.410074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e4f88fcd-19b8-4101-b338-3a29e2082610 · outbound

This paper cites On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:09:24.387247Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9938af0e-b579-40f8-9b3c-93176bef2d27 · outbound

This paper cites Virtuous Trees at Five and Six Points for Yang-Mills and Gravity.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Virtuous Trees at Five and Six Points for Yang-Mills and Gravity

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:09:24.364129Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d2dc3687-5d79-4cd0-b5d0-cb933ec1d3fc · outbound

This paper cites Motivic Multiple Zeta Values and Superstring Amplitudes.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Motivic Multiple Zeta Values and Superstring Amplitudes

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.082716Z

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Unavailable: canonical work link unavailable.

Observation 8f24e0d3-a9b8-4f9b-81cd-2af038b54ee1 · outbound

This paper cites The non-abelian open superstring effective action through order $\alpha'{}^3$.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA The non-abelian open superstring effective action through order $\alpha'{}^3$

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:09:24.323517Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2c2637f6-eed2-45c2-b8d9-b019cc4f7c40 · outbound

This paper cites Revisiting the S-matrix approach to the open superstring low energy effective lagrangian.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Revisiting the S-matrix approach to the open superstring low energy effective lagrangian

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:09:24.298875Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6a85827d-71e8-43db-8f23-62dd504f566e · outbound

This paper cites Chicherin, Y.

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA Chicherin, Y

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T20:09:24.096259Z

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