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Paper Citation Record · LEDGER

Serendipitous Syzygies of Scattering Amplitudes

As of 11 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 2026-08-11T06:34:44.6726+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=sha256:04076f2fc8a3c2356539a9fca0a7ee3275c5cdb0e172e63f7f17c88091cf7e76

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=sha256:9a202ca577d549d414e3abbbef7b6e4a889b24bc3be41a8971411e95fbedc883

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=sha256:8ac23ce165a3a695a2729b6387d8e708feaec433e5912481a929d9db6c20dccc

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=sha256:9e06fe90db7b2bc72fc10b5dbddc2ad163998b414355054c97ffc744c59d0ee3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:42:37.367091Z digest=sha256:f5d12b08703e69964d9754140766c25727015593f085e2c60f2cdb736e5f2c1a

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:c2195919bcfd5627fdb7b876cde79b2f2d4daf12ef9785a849eac98525c2ce3e

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:d9806df18f37f1d80ca2df490727e3a69292bb3e25a2fe8d508d65c677eb8476

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=sha256:426255ee8c0778790e4b1e4680665d549d3c0d62a619e84c417db5719f6a89f4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:42:37.775296Z digest=sha256:3fa9cbb1f29b50dd8707459177fedfde397d63942f19e3abd29330a2c5fc3b47

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:afc91de13948ef1de7475c8b76779fe98409f3ca5950921a9abb7cf8269167b0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:42:37.967233Z digest=sha256:7c776eb1a13363a0e9c2829c24aa95bffc69d28c1be8cd15898c836415f49188

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:df69ce546a083f323a6deb246bb58a43b40526b3a28f792325a0195e256ac077

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:c9ab59627505608c9e7193e5de3a7f1216d43ebba3a710cf68de86def285c69d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:42:38.323065Z digest=sha256:c45fcf841b52daf55000a72e3664769843f7a5a12a17bb4715ad91f9a21d217b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-09T18:54:46.752839Z digest=sha256:96dbedabb1577c36cceb2ca14bdc314b424b75b1b0157bb56317915de66b838a