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Paper Citation Record · LEDGER

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

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 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 11 of 11 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 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:39:27.442402Z

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-23T17:48:22.572396Z digest=sha256:ee3433916705df2389aa68a1be49f042d4a5622c6dd9d7a50464ee9c1e8828a1

Observation d0167493-8024-44ba-96fa-18aa55473913 · inbound

On the New Factorizations of Yang-Mills Amplitudes cites this paper.

On the New Factorizations of Yang-Mills Amplitudes Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T11:39:27.442402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:39:27.442402Z digest=sha256:9f75dc3e45b47432e8d995a4cb9b97b9e7a49fc791a7968f2f95d7812e4597bf

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=sha256:7b0f7743e1a58117e4c0efc94301d7f2a3feaba7266ac3284d66eeb271904c15

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T11:45:43.424808Z digest=sha256:779d818e46771d40f228603361783e264c8677b4328848c2a4f4254c2ffca75a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-18T22:37:52.217797Z digest=sha256:6e65e286d118578d9f27927fe5c5f19f92840f4b13a4fe2c90a930e66227683a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-18T21:05:15.357598Z digest=sha256:4cdadbb8552edd28336af13a57f56dcd4df00e41a73d4466f2c987dee6dd83a4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:8616ba5a0b40432d3283cc481b1b400a11de9197c19536bbf627f9d9929d9b61

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-08T05:50:48.795816Z digest=sha256:7642e04f33860154417dbef2cdc76aa7b3b864aa787d48d777ddfbefcf25db59

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-22T09:21:45.022552Z digest=sha256:21a6eefa8f3c5d62590804539bfb44a6049b3d348446b1d623d715c5d2c2125a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-29T03:47:21.331582Z digest=sha256:372f8b31dd2cd0d9e35f004b341794568b475d7c1cb5f4c89a286bd6a1766af1

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=sha256:6ca046fc46a5eb84b1fc6efd9339abfba09c2bce11ebabe5a7357522ae243b6b