Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T13:21:28.527992Z
Paper Citation Record · LEDGER
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness
As of 22 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2605.24512.
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42 of 42 outbound references displayed
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Outbound references
Observation e683905d-8e41-41c4-ad1c-bb1cdfec76c1 · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 1
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- no resolver link, observed 2026-08-02T13:21:28.330139Z
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Observation e94cdaaa-a5e9-4fc5-a0ca-3ba8cd837aa0 · outbound
This paper cites Ret. sources.
Reference 2
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Observation edc49ac5-67dc-48cd-aeaf-638012309fff · outbound
This paper cites vertices.
Reference 3
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Observation 36d39158-ac6f-472b-abe0-2b7026e13925 · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 4
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Observation e8158489-6f18-4bf7-9ceb-045b29fba368 · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 5
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Observation bf50f8e3-6135-49cb-b424-cf6a07f424de · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 6
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Observation c635bfef-b5bb-4a50-85fd-1ed388d3d50a · outbound
This paper cites Steps 1 and 3 together account for the extra factorε2 inM t,u relative toM s.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Steps 1 and 3 together account for the extra factorε2 inM t,u relative toM s
Reference 7
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Unavailable: canonical work link unavailable.
Observation 63b36d05-5e88-4e91-9519-723e4e211acb · outbound
This paper cites The advanced solution(Z +,Ω +)uses free dataσ + atI +; the retarded solution(Z −,Ω −)uses free dataσ − atI −.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness The advanced solution(Z +,Ω +)uses free dataσ + atI +; the retarded solution(Z −,Ω −)uses free dataσ − atI −
Reference 8
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Observation f0501c9d-9eb8-40a3-9927-30ac4a1dc05d · outbound
This paper cites (11) of Ref.
Reference 9
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Observation 616b9577-a330-4a6f-a42a-13ea3887728f · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 10
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Observation a2bc79b0-320b-44f8-92f2-3e5496d48798 · outbound
This paper cites Both are fixed simultaneously by requiring that in the absence of radiation (σ± = 0) the spacetime is flat.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Both are fixed simultaneously by requiring that in the absence of radiation (σ± = 0) the spacetime is flat
Reference 11
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Observation ba5d5e85-572b-4530-9abe-af4d52acc557 · outbound
This paper cites (A15) explicitly.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness (A15) explicitly
Reference 12
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Observation a295eb0e-dd39-4630-a767-d1b139690168 · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 13
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Observation fb86cef2-1735-4840-8bf8-3be0aa3a2d61 · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 14
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Unavailable: canonical work link unavailable.
Observation c9678127-f183-4ae8-934b-1f8eea24fc3d · outbound
This paper cites , δσ+ n−1.
Reference 15
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Unavailable: canonical work link unavailable.
Observation 3f6ab0f8-4772-4bef-8f2d-a6c56750dde0 · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 16
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Unavailable: canonical work link unavailable.
Observation eed4a685-9325-4cc5-b47a-8853597b78ed · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 17
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Observation 93a90318-b9de-43a1-9860-1e3f82e2456d · outbound
This paper cites The nine cross products of the pair(2,2).
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness The nine cross products of the pair(2,2)
Reference 18
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Unavailable: canonical work link unavailable.
Observation 5555cb43-0b14-4e13-86f2-c90229ccc381 · outbound
This paper cites All kernels areK (4),(1,3) with momenta relabeled.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness All kernels areK (4),(1,3) with momenta relabeled
Reference 19
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Unavailable: canonical work link unavailable.
Observation 663c4fdf-9efb-4094-9215-4146a04237a4 · outbound
This paper cites Direct pair(1,3).
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Direct pair(1,3)
Reference 20
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Unavailable: canonical work link unavailable.
Observation 83929ad6-3002-41a0-9d2f-d07470544d1c · outbound
This paper cites an unresolved cited work.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Unresolved cited work
Reference 21
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Unavailable: canonical work link unavailable.
Observation 0254c356-b2ec-4384-b5da-d8073abf2bd3 · outbound
This paper cites CompleteK (4),Ω (n).
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness CompleteK (4),Ω (n)
Reference 22
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Unavailable: canonical work link unavailable.
Observation 5528d86d-6cee-45d3-9597-ad09f25a0edf · outbound
This paper cites Ultraviolet-finite perturbative expansion of quantum gravity at null infinity,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Ultraviolet-finite perturbative expansion of quantum gravity at null infinity,
Reference 23
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Unavailable: canonical work link unavailable.
Observation 6c6a7f05-10cd-40a9-a9b0-8a400d5fc5ce · outbound
This paper cites Quantum graviton scattering with definite helicities in the null surface formulation,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Quantum graviton scattering with definite helicities in the null surface formulation,
Reference 24
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4058e7d4-ceee-4627-8af3-44401a53f436 · outbound
This paper cites Nonlinear scattering of classical gravitons,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Nonlinear scattering of classical gravitons,
Reference 25
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Unavailable: canonical work link unavailable.
Observation f6343fb0-a69e-4d51-8934-c75ed00d47cd · outbound
This paper cites Green’s functions of the edth operators,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Green’s functions of the edth operators,
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T13:21:28.446814Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ad4d321-95a6-425c-a597-2b2cfa8eb520 · outbound
This paper cites Quantum theory of asymptotically flat spacetimes,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Quantum theory of asymptotically flat spacetimes,
Reference 27
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 57bc8a7e-636f-4c55-9e49-380d7bb6daea · outbound
This paper cites Quantum graviton scattering with definite helicities in the null surface formulation. Part II: Third-order scattering and thes-channel,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Quantum graviton scattering with definite helicities in the null surface formulation. Part II: Third-order scattering and thes-channel,
Reference 28
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- no resolver link, observed 2026-08-02T13:21:28.458695Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4291a5a-6939-4e1e-b903-caa70d5b07b6 · outbound
This paper cites Quantum theory of gravity. III. Applications of the covariant theory,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Quantum theory of gravity. III. Applications of the covariant theory,
Reference 29
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- no resolver link, observed 2026-08-02T13:21:28.464945Z
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Unavailable: canonical work link unavailable.
Observation 07c7b071-acc6-4685-9265-8bd132c57762 · outbound
This paper cites Gravity as the limit of the type-II superstring theory,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Gravity as the limit of the type-II superstring theory,
Reference 30
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Unavailable: canonical work link unavailable.
Observation 7e8c3cdd-0054-4c18-9da9-d6a257f19dfe · outbound
This paper cites A relation between tree amplitudes of closed and open strings,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness A relation between tree amplitudes of closed and open strings,
Reference 31
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 482254b2-4f0c-416f-8325-185e8be3db8c · outbound
This paper cites Infrared photons and gravitons,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Infrared photons and gravitons,
Reference 32
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ddf3913f-6c75-429e-a834-c3d5b724d598 · outbound
This paper cites Gravitational waves in general relativity. VII. Waves from axi-symmetric isolated systems,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Gravitational waves in general relativity. VII. Waves from axi-symmetric isolated systems,
Reference 33
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 346be932-0620-4b61-bca7-2a51baf2fda2 · outbound
This paper cites Gravitational waves in general relativity. VIII. Waves in asymptotically flat space-time,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Gravitational waves in general relativity. VIII. Waves in asymptotically flat space-time,
Reference 34
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7689e357-5b7e-48f8-a4a6-96b7f6cc7adb · outbound
This paper cites New relations for gauge-theory amplitudes,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness New relations for gauge-theory amplitudes,
Reference 35
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Unavailable: canonical work link unavailable.
Observation 5e272191-6f87-4b28-8dd3-3b51a4d63435 · outbound
This paper cites Perturbative quantum gravity as a double copy of gauge theory,.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Perturbative quantum gravity as a double copy of gauge theory,
Reference 36
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Unavailable: canonical work link unavailable.
Observation 8f84f9de-fbd1-463d-bf94-c5ddda07d120 · outbound
This paper cites The Duality Between Color and Kinematics and its Applications.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness The Duality Between Color and Kinematics and its Applications
Reference 37
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Unavailable: canonical work link unavailable.
Observation 21433817-fde6-4add-926a-caa5a4f6dab6 · outbound
This paper cites Strominger,Lectures on the Infrared Structure of Gravity and Gauge Theory, Princeton University Press (2018).
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Strominger,Lectures on the Infrared Structure of Gravity and Gauge Theory, Princeton University Press (2018)
Reference 38
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Unavailable: canonical work link unavailable.
Observation d3756904-5623-42cf-809f-e5f1e094ad78 · outbound
This paper cites Null infinity, the BMS group and infrared issues.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Null infinity, the BMS group and infrared issues
Reference 39
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Unavailable: canonical work link unavailable.
Observation dc29c029-bf95-4ff1-9106-55c8b42a22f2 · outbound
This paper cites On BMS Invariance of Gravitational Scattering.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness On BMS Invariance of Gravitational Scattering
Reference 40
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Unavailable: canonical work link unavailable.
Observation f0f14967-fc9c-4bc9-b8da-2cfebb02b6ca · outbound
This paper cites You Can Beat the Market: Estimating the Return on Investment for National Hockey League (NHL) Team Scouting using a Draft Value Pick Chart for the NHL.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness You Can Beat the Market: Estimating the Return on Investment for National Hockey League (NHL) Team Scouting using a Draft Value Pick Chart for the NHL
Reference 41
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0bc7ebc9-48c9-4ffd-a458-8db5dd18cab0 · outbound
This paper cites Lectures on Celestial Amplitudes.
Quantum graviton scattering with definite helicities in the null surface formulation. III: Fourth-order recursion and ultraviolet finiteness Lectures on Celestial Amplitudes
Reference 42
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