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Paper Citation Record · LEDGER

Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2406.04234.

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

pith.paper-citation-record.v1
2406.04234 v5

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 2026-08-06T06:34:29.942622+00:00

measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:46:17.777404Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T04:27:31.315051Z

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 e8b1796a-b1bd-4247-87bd-7eeb825bb557 · inbound

Note on hidden zeros and expansions of tree-level amplitudes cites this paper.

Note on hidden zeros and expansions of tree-level amplitudes Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:27:31.319157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T04:25:41.460847Z digest=sha256:5d63932120667fd2694048e75ec4bc486fe38aab2bef3bec44a50c8a785802c5

Observation 307c2dd8-6cda-4742-9127-7e3846204bb8 · inbound

Hidden Zeros and $2$-split via BCFW Recursion Relation cites this paper.

Hidden Zeros and $2$-split via BCFW Recursion Relation Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-22T18:35:02.525688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T18:32:08.685472Z digest=sha256:8db3a2b03e68e272a838cf4547f68cf0c586a537cc1526ef6cf35d05fddfe4fd

Observation 26846790-6ed2-49a3-a78d-8ee21d33ea78 · 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 Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-19T11:47:15.938995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-19T11:45:43.424808Z digest=sha256:571f950c387adea72c95fbf0da1e3eed014ca75144e837337348a64eff46a2ba

Observation c9d5dec6-b900-4034-903f-fc59336d9dd2 · 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 Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-18T22:41:53.584606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-18T22:37:52.217797Z digest=sha256:83d945cf351f45258cc2fd8ad58faf79b8608e23574be00fbe06ae4b43615d08

Observation 18c484e0-a6b0-454b-8906-fa3c12b49da4 · inbound

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

$2$-split from Feynman diagrams and Expansions Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-18T21:06:50.645663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-18T21:05:15.357598Z digest=sha256:02653df74dca89cf8cfd8543c5301d6507dfa60bafc3230b55c359bd8152770a

Observation 91fd973f-e934-4a0a-8e3e-09aa0e0e828e · 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 Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-18T08:11:07.105580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:f72f84cf5f62635b459dd7e02e82e50fe1d4d4f51c276f7c54eec006f59c1e79

Observation 7c3133a4-3d45-434f-93c6-bd9ae47dfb44 · inbound

On differential operators for scalar-scaffolded gluons cites this paper.

On differential operators for scalar-scaffolded gluons Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T15:46:17.777404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:46:17.777404Z digest=sha256:f773b0e75aef42cc56ea7f030db8c143223f063876b1ecf4946d7f4ea4825108

Observation 01047500-9dfb-4e7a-98f5-4b53c8fe5069 · inbound

Can Locality, Unitarity, and Hidden Zeros Completely Determine Tree-Level Amplitudes? cites this paper.

Can Locality, Unitarity, and Hidden Zeros Completely Determine Tree-Level Amplitudes? Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-11T00:15:53.561166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T18:37:52.372626Z digest=sha256:87e3c63e9fd256a5ab4b842f19aa919f1669d9264a08bcb8fed153987d65feff

Observation 68b5bbb6-9962-4062-8bc8-46d03c651fef · inbound

Towards New Hidden Zero and $2$-Split of Loop-Level Feynman Integrands in ${\rm Tr}(\phi^3)$ Model cites this paper.

Towards New Hidden Zero and $2$-Split of Loop-Level Feynman Integrands in ${\rm Tr}(\phi^3)$ Model Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-10T13:25:25.914742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T13:24:28.636900Z digest=sha256:4cfde4ad2432127cb903f52b6032ac25d5b933778618f16c09985fffa0bb285e

Observation 0c063464-88c1-4855-b4be-acf4c1057dc3 · 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 Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:21:11.879958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-08T05:50:48.795816Z digest=sha256:88ac92aa0f9ae5c55316aa84ee7fc5c44793b302a5da637d4b3b0ea99864945f

Observation cfcd4479-74cb-4557-8ecd-5b90662841c0 · inbound

Analytic Boundaries of Infinite-Spin-Tower Amplitudes from Hidden Zero cites this paper.

Analytic Boundaries of Infinite-Spin-Tower Amplitudes from Hidden Zero Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-01T10:05:05.232179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:05:05.232179Z digest=sha256:c305795c4ab8294119caf124f322a3217f5be05d8a400c9c8e45977bc05d3f43