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Paper Citation Record · LEDGER

Serendipitous Syzygies of Scattering Amplitudes

As of 15 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2505.14857.

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

pith.paper-citation-record.v1
2505.14857 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:38.323065Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T18:54:46.752839Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T16:01:19.138077Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 051f023a-adec-4b2e-a570-ddda945b94f6 · outbound

This paper cites New Color Decompositions for Gauge Amplitudes at Tree and Loop Level.

Serendipitous Syzygies of Scattering Amplitudes New Color Decompositions for Gauge Amplitudes at Tree and Loop Level

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:37.007908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:37.007908Z digest=sha256:9ce57a22d018888d67321d4e7cb234dc02e07b22f80af2ef9db81baccd5dda58

Observation 4200653b-1a20-4a79-9b6c-c8c8905871d5 · outbound

This paper cites New Relations for Gauge-Theory Amplitudes.

Serendipitous Syzygies of Scattering Amplitudes New Relations for Gauge-Theory Amplitudes

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:37.098659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:37.098659Z digest=sha256:ac0b3a4b59fe4d41dd2add04aac989d85508be31aa9b87a04a59974d1e0da2e3

Observation 09454f7b-5afc-4611-b7ba-b2e4bd7b11af · outbound

This paper cites Symmetric-group decomposition of SU(N) group-theory constraints on four-, five-, and six-point color-ordered amplitudes.

Serendipitous Syzygies of Scattering Amplitudes Symmetric-group decomposition of SU(N) group-theory constraints on four-, five-, and six-point color-ordered amplitudes

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:37.200653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:37.200653Z digest=sha256:9b773b70a03e0680975205f7496071ae7d35a0459d231b5bb977142a03859ae8

Observation aee6359b-b6f1-4805-ba44-e1defb628c70 · outbound

This paper cites Identities amongst the Two Loop Partial Amplitudes of Yang-Mills theory.

Serendipitous Syzygies of Scattering Amplitudes Identities amongst the Two Loop Partial Amplitudes of Yang-Mills theory

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:37.271446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:37.271446Z digest=sha256:5efe4b28ddbc886ebf1a227233c1180541b9187707e9af03e4305729466a5260

Observation fa526b6f-167f-4482-9c52-871bd13adff0 · outbound

This paper cites Monodromy--like Relations for Finite Loop Amplitudes.

Serendipitous Syzygies of Scattering Amplitudes Monodromy--like Relations for Finite Loop Amplitudes

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:42:39.298984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T15:42:37.367091Z digest=sha256:37cb4c918ef3a4d0b496dc052142c85ea433f7e826866cb03e1ef12a554f8dfc

Observation d84bdc72-d511-4677-941c-71c75f8d954f · outbound

This paper cites On gauge amplitudes first appearing at two loops.

Serendipitous Syzygies of Scattering Amplitudes On gauge amplitudes first appearing at two loops

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:37.431133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:37.431133Z digest=sha256:b38e38c05794c9443265e05e6835c183659020d98515032781eaf27c90595d04

Observation 0f69741b-8177-4055-8e58-f46e50da4f34 · outbound

This paper cites Bootstrapping two-loop QCD amplitudes.

Serendipitous Syzygies of Scattering Amplitudes Bootstrapping two-loop QCD amplitudes

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:37.541067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:37.541067Z digest=sha256:f5d564dfa30062d6cb6239afbeec3a9f5754a2c89c9158dff8531f0064720fe2

Observation 592d011e-a7fc-4580-a1aa-ddc707efca85 · outbound

This paper cites One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits.

Serendipitous Syzygies of Scattering Amplitudes One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:37.676928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:37.676928Z digest=sha256:4fa34c982edfc1bd76b1108fa6c9ee58a4f4fd9fe3a9c6ce30e70bda85d0e11f

Observation eb42f87c-7753-4701-9f7a-9f74208ab933 · outbound

This paper cites New QCD Results from String Theory.

Serendipitous Syzygies of Scattering Amplitudes New QCD Results from String Theory

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:42:39.041402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T15:42:37.775296Z digest=sha256:9957817805f3ddca5818e2fe51bbb6d984f0a10ad7c8ef8bc0d2017034f85792

Observation fc360c92-40c6-4c99-9b98-3b118acadd6e · outbound

This paper cites A Unitarity Approach to Two-Loop All-Plus Rational Terms.

Serendipitous Syzygies of Scattering Amplitudes A Unitarity Approach to Two-Loop All-Plus Rational Terms

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:37.887505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:37.887505Z digest=sha256:729625982ad53a99258a35a9ca10217117578cd2187096562478d1b7ba927a81

Observation 8168ddc6-4853-4180-9bd6-77c7f145987f · outbound

This paper cites Dumas and P.

Serendipitous Syzygies of Scattering Amplitudes Dumas and P

Reference 11

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T15:42:38.832028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T15:42:37.967233Z digest=sha256:e5dd198cde52e6c4912e79be9e1ac1a1488ace8cbf40193947059a9764f9d881

Observation ea617393-14f5-46bf-9a82-f58507aaf196 · outbound

This paper cites Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory.

Serendipitous Syzygies of Scattering Amplitudes Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:38.097158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:38.097158Z digest=sha256:22286ce53c805837609f051e04974c80044daa17680f5d81f9d2d030f5683753

Observation 40d45399-aba3-4012-977a-8cb16d34aedf · outbound

This paper cites Kawai, D.

Serendipitous Syzygies of Scattering Amplitudes Kawai, D

Reference 13

Resolution
malformed identifier
no resolver link, observed 2026-08-07T15:42:38.208762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:38.208762Z digest=sha256:bb70b6651104915e94c8da44892fd46e6b6f8a89313adbfd46f81d91194b5ebe

Observation 13044acc-0a86-45d2-81f2-783c7c34624f · outbound

This paper cites String-Based Methods in Perturbative Gravity.

Serendipitous Syzygies of Scattering Amplitudes String-Based Methods in Perturbative Gravity

Reference 14

Resolution
malformed identifier
local_arxiv, observed 2026-08-07T15:42:38.536147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T15:42:38.323065Z digest=sha256:f903c95613155ec2103ed62afadf369af661bc9ecd8cf9a28c21b47672d761eb

Pith citing papers

Observation a0b329b4-d397-45d3-bbc5-0cd9bbfd2fee · inbound

Color Decompositions of the Two Loop Amplitudes of Yang-Mills theory cites this paper.

Color Decompositions of the Two Loop Amplitudes of Yang-Mills theory Serendipitous Syzygies of Scattering Amplitudes

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-11T16:01:19.146104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-09T18:54:46.752839Z digest=sha256:ee43ed633a2833e488e5fbff32228bb11ccb28f56f5b64fdb4cbacdb640c2664