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Paper Citation Record · LEDGER

On an Exponential Representation of the Gravitational S-Matrix

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2107.12891.

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

pith.paper-citation-record.v1
2107.12891 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:10:24.545265Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T18:05:58.190015Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e2375969-c99d-45ed-a069-b4c416ac39cb · inbound

First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order cites this paper.

First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order On an Exponential Representation of the Gravitational S-Matrix

Reference 137

Resolution
unresolved
no resolver link, observed 2026-08-07T23:10:24.545265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:10:24.545265Z digest=sha256:80c827c2f79fbef330449bcd1abc7d15578f0f8e6ceb8d9db3d4afb00f3efb6e

Observation 00f1f759-9a56-43b6-ab4d-e64e3929912f · inbound

5-Dimensional Gravitational Raman Scattering: Scalar Wave Perturbations in Schwarzschild-Tangherlini Spacetime cites this paper.

5-Dimensional Gravitational Raman Scattering: Scalar Wave Perturbations in Schwarzschild-Tangherlini Spacetime On an Exponential Representation of the Gravitational S-Matrix

Reference 89

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verified exact
arxiv_id, observed 2026-05-19T12:42:18.815531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T12:39:37.173441Z digest=sha256:27ed7f44288f12827c269350d447e1ff236dee7fac6e1e9be7fd8f92fe597019

Observation 07880bf1-4d79-4118-8837-bf41fcba23d8 · inbound

Nonlinear Gravitational Memory in the Post-Minkowskian Expansion cites this paper.

Nonlinear Gravitational Memory in the Post-Minkowskian Expansion On an Exponential Representation of the Gravitational S-Matrix

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-06T22:50:06.836602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:50:06.836602Z digest=sha256:0534ba373aad41d5105ce0c88508c7dacc8ed4d8035fc8769a8c58fae079b09b

Observation 6b2a298f-d0c8-423c-8ac7-ff1938a751ff · inbound

Unexpected Symmetries of Kerr Black Hole Scattering cites this paper.

Unexpected Symmetries of Kerr Black Hole Scattering On an Exponential Representation of the Gravitational S-Matrix

Reference 112

Resolution
verified exact
arxiv_id, observed 2026-05-18T23:12:52.990961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T23:12:31.732350Z digest=sha256:5739e1de314864c8ea9d2ceaabdffd5a10bc8de39c28b5642b12d5585ec5bd33

Observation f75bc96d-e6f8-45b3-902a-30fef9f93600 · inbound

Classical eikonal in relativistic scattering cites this paper.

Classical eikonal in relativistic scattering On an Exponential Representation of the Gravitational S-Matrix

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-05T12:07:58.689557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:07:58.689557Z digest=sha256:0738122f76425b2e831408a9c04958ec540c84cdc11c28c39cc66feef231dd4d

Observation b613d29b-b8bb-4cb4-96a3-c5a2a27d3f39 · inbound

Manifest symplecticity in classical scattering cites this paper.

Manifest symplecticity in classical scattering On an Exponential Representation of the Gravitational S-Matrix

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-03T23:14:51.009740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:14:51.009740Z digest=sha256:574458ad27840060bc7dddf013a005db12e59b0690979779f91490df4e90b112

Observation fe9543bb-7b77-40eb-a396-28db62ad7850 · inbound

Resumming Scattering Amplitudes for Waveforms cites this paper.

Resumming Scattering Amplitudes for Waveforms On an Exponential Representation of the Gravitational S-Matrix

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-16T15:41:04.817511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-16T15:40:24.570941Z digest=sha256:9cd7745f2958e132ceed531cc63d68d6f4f5c211434a3e489ecd7b3b986fca0b

Observation e7ce7fb2-6b12-4080-952a-3374e7177706 · inbound

Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order cites this paper.

Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order On an Exponential Representation of the Gravitational S-Matrix

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:25.132971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:40:25.132971Z digest=sha256:5a9af1c5290573cde8cfc7c870aa3b7bf9b5d2630a7e9d18a3fc43915bfb2c85

Observation e6a93134-067d-4277-abef-fb3b2bda445e · inbound

The gravitational Compton amplitude at third post-Minkowskian order cites this paper.

The gravitational Compton amplitude at third post-Minkowskian order On an Exponential Representation of the Gravitational S-Matrix

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-16T06:27:27.416327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-16T06:25:50.003086Z digest=sha256:26a6a6f34a6db4bb0129999faf967c8b96434f6506aa42696fe32896cc15c5f5

Observation 447965b2-31b2-458a-bb91-5573f9e856ba · inbound

Black Hole Response Theory and its Exact Shockwave Limit cites this paper.

Black Hole Response Theory and its Exact Shockwave Limit On an Exponential Representation of the Gravitational S-Matrix

Reference 65

Resolution
verified exact
arxiv_id, observed 2026-05-11T15:01:07.104010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-09T20:41:26.438912Z digest=sha256:565b1ef140d88a50a6d42ff678eb16e34009031850246f342d0c46001ba70336

Observation 5bb54903-b4ec-4074-a686-a5b971313dfb · inbound

A Runway to Dissipation of Angular Momentum via Worldline Quantum Field Theory cites this paper.

A Runway to Dissipation of Angular Momentum via Worldline Quantum Field Theory On an Exponential Representation of the Gravitational S-Matrix

Reference 67

Resolution
verified exact
arxiv_id, observed 2026-05-13T04:47:17.366537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-13T04:46:41.806760Z digest=sha256:231ade2f5851bfd7a810d181220cae984990e693f835158497cc899285d16ece

Observation e560040b-fff4-47f2-8a64-900dc10571cd · inbound

The Diagrammar of Quantum Magnusian cites this paper.

The Diagrammar of Quantum Magnusian On an Exponential Representation of the Gravitational S-Matrix

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-06-29T22:34:02.997663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-29T21:09:34.389547Z digest=sha256:77641da98b5d99a081485d2906d12d0bffa34591389287bfa741a77c2f838b95

Observation 759534b9-6190-40d7-9cdf-7c426e8ca517 · inbound

Gravitational wave scattering at $\mathcal{O}(G^4)$: Murua construction and elliptics cites this paper.

Gravitational wave scattering at $\mathcal{O}(G^4)$: Murua construction and elliptics On an Exponential Representation of the Gravitational S-Matrix

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-06-29T01:02:56.419515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-29T00:55:32.996852Z digest=sha256:48dd927d36e89b914bda0c753268cb9683fd4a07304309894ec77217e09961ed

Observation cb403db1-170e-4481-add2-6f69bb9d5860 · inbound

Gravitational Compton scattering at the fourth post-Minkowskian order cites this paper.

Gravitational Compton scattering at the fourth post-Minkowskian order On an Exponential Representation of the Gravitational S-Matrix

Reference 66

Resolution
verified exact
arxiv_id, observed 2026-07-01T18:05:58.191472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-29T02:45:29.041269Z digest=sha256:e1f26d04cdb077f337bafa71e01ca0da0714dc7eaf7cd1be9941fbb224fabbd3