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Paper Citation Record · LEDGER

Circles and Triangles, the NLSM and Tr($\Phi^3$)

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2403.04826.

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

pith.paper-citation-record.v1
2403.04826 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T11:15:50.216123Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T17:25:51.042744Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 5f868a0d-79bf-4c7c-8843-54428b42e6f3 · inbound

Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams cites this paper.

Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-23T17:53:19.372586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-23T17:48:22.572396Z digest=sha256:b31df085543bbf4d74f9e1c208a514964c6fdf65bc3d7309c4a3cab4252c0982

Observation 6dcd2e7a-d0b0-4ca0-a381-b9dcf95312e0 · inbound

The CEGM NLSM cites this paper.

The CEGM NLSM Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-08T11:15:50.216123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T11:15:50.216123Z digest=sha256:9a53890b1883107d1f93e358d85f90f39cd80aada62934009751350705b782f0

Observation 26677777-2ead-4187-a5b5-876b3764ec90 · inbound

Soft theorems of tree-level ${\rm Tr}(\phi^3)$, YM and NLSM amplitudes from $2$-splits cites this paper.

Soft theorems of tree-level ${\rm Tr}(\phi^3)$, YM and NLSM amplitudes from $2$-splits Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-19T11:47:15.936145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-19T11:45:43.424808Z digest=sha256:b132c92a5b2f02df038293464ddb550e7cdc17e55f74a672bf518753dfb06b1a

Observation fd1317b7-02c7-4474-b02d-a61987755825 · inbound

A new recursion relation for tree-level NLSM amplitudes based on hidden zeros cites this paper.

A new recursion relation for tree-level NLSM amplitudes based on hidden zeros Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-18T22:41:53.542241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T22:37:52.217797Z digest=sha256:28f61555fcb041d5cf894deda260be8c4a8da74634b76c391d2ad906f1e310c0

Observation 246c3918-e5ce-4973-a315-e68e53dccaf9 · inbound

$2$-split from Feynman diagrams and Expansions cites this paper.

$2$-split from Feynman diagrams and Expansions Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-18T21:06:50.664274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T21:05:15.357598Z digest=sha256:eb99b6c22ffcc00cd53dac46b81ace4c5a3e3ee7e1b25ebd30fcb174c69586b6

Observation b087c0df-3c6b-47a5-aa10-efa2b1bbdee7 · inbound

Hidden zeros for higher-derivative YM and GR amplitudes at tree-level cites this paper.

Hidden zeros for higher-derivative YM and GR amplitudes at tree-level Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-18T08:11:07.130035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:1c6f3a7b0705b3e6ee9732fb3a4fe9d2ffa0d4183ac9f293879b8a43af462348

Observation 5d26177b-ee36-4f65-8f9d-be47f4d8db78 · inbound

Universal Interpretation of Hidden Zero and $2$-Split of Tree-Level Amplitudes Using Feynman Diagrams, Part $\mathbf{I}$: ${\rm Tr}(\phi^3)$, NLSM and YM cites this paper.

Universal Interpretation of Hidden Zero and $2$-Split of Tree-Level Amplitudes Using Feynman Diagrams, Part $\mathbf{I}$: ${\rm Tr}(\phi^3)$, NLSM and YM Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:21:11.962717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T05:50:48.795816Z digest=sha256:6a3a39d79c96677dd99990bfb6664578cb6de116a8847dd0c4be3a90b45a8342

Observation aefc9b7c-01b3-46b6-b67d-4eaf07a460eb · inbound

Multipositivity Constrains the Chiral Lagrangian cites this paper.

Multipositivity Constrains the Chiral Lagrangian Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 28

Resolution
metadata mismatch
arxiv_id, observed 2026-05-22T09:24:46.348022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-22T09:21:45.022552Z digest=sha256:5b609bf753b4e9279ef683e97a41562355a25e3bae9836ba0e650f9a697f2423

Observation 5f407f2e-3b93-492e-ac4b-e16a5a68e9f9 · inbound

Planar loop integrands from cuts in $D$ dimensions cites this paper.

Planar loop integrands from cuts in $D$ dimensions Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-07-01T17:25:51.044436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T03:47:21.331582Z digest=sha256:e6094dfaf82cabdca9657191a8b9919de235521335a4d6eaf6dfa9c6c736e1ac

Observation dceab41a-af06-4fcb-a9e7-eda14a0de531 · inbound

NLSM amplitudes from a quartic two-derivative theory cites this paper.

NLSM amplitudes from a quartic two-derivative theory Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-01T09:08:12.970498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:08:12.970498Z digest=sha256:12e5427e5ddc2f52ffad8762bf25a74a419d3703f7784f71d23b434ea453d254