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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 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 17 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

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measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 17 of 17 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 17 of 17 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:27:25.499985Z

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

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b6ef619a-d4ec-4741-89e1-a894a479a42f · inbound

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

On the New Factorizations of Yang-Mills Amplitudes Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-11T11:39:27.451926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:39:27.451926Z digest=sha256:b5899b1a337a5a1e7fa0b61da18e320d517cc4952ec8aa98b8d23a7b790d0c71

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-23T04:25:41.460847Z digest=sha256:d9b261710cc1970801d4b59e6362315261b8199ffee47787afee2371a3e1f065

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-22T18:32:08.685472Z digest=sha256:2d433cca1dd6292d033bc55efdadd1d87e62cacf5a06489688a510075294fe6d

Observation 7aad0df3-65d7-4430-8896-0209bae2b4ff · inbound

Form factors from string amplitudes cites this paper.

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

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-16T11:27:25.499985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:27:25.499985Z digest=sha256:0c82be9944497bffbc7c4a360ab19a107a2367f2c223765ef2b25fac5b00fdb4

Observation 825b2c9e-47b5-4446-8537-2799698d72b3 · inbound

Universality of Colored Scalars from the Stringy KLT Kernel cites this paper.

Universality of Colored Scalars from the Stringy KLT Kernel Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-16T04:23:23.148374Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:23:23.148374Z digest=sha256:512e3ba420697c235e26b521a96ab8c4b6a8380499cc357128d189ee5874bc79

Observation 699f6211-f7c7-44be-ab8b-4b2474ba4dfd · inbound

Smooth Splitting and Zeros from On-Shell Recursion cites this paper.

Smooth Splitting and Zeros from On-Shell Recursion Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-16T00:53:11.725005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:53:11.725005Z digest=sha256:dfdd84c4d81174ea6640d3fbcf4311f5678dd0c1dd23791cc3c1120b2db9f6a5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-19T11:45:43.424808Z digest=sha256:bb535fe3eff802b11237c50fe4d9419f02b91143dabfbc62fbad6230a7195814

Observation a95f5275-b6a1-4361-bdcd-f1590c956d83 · inbound

All zeros of (super)String Theory cites this paper.

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

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T19:42:30.543643Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:42:30.543643Z digest=sha256:5e74600c330d2d3d499cc71c281a210ae0c04db433eb0da13fd698b19a07e958

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-18T22:37:52.217797Z digest=sha256:494dfa621cbe38e91daa3b6c8eafc8b9f56db28b57afdf1332ca379c5ce3549b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-18T21:05:15.357598Z digest=sha256:5ed3b37297cc51d34dc8c601264e340126d74e66402da7f27313eab6e6aa7cbc

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:c17b3600b58ffe80caf827f7f9970c7747accdd63ff8501db98d1ba415506e9c

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=sha256:154d32231f03be46513e84c45c285a1da2d3839577ff298d3d39d5e88dfb9c1c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T18:37:52.372626Z digest=sha256:97e9a4d3780e67bff7b079ab452dd833f3f53dbfdd7e3685ff7309cf3009952d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T13:24:28.636900Z digest=sha256:9b2b3cf8208ed47977b79f3c7b4d6dabc33a8592a340f5ff368ac20dbfedcd17

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-08T05:50:48.795816Z digest=sha256:658766d8e7de1baa73e76c41101380cb85b4b04fc6867b03701d512fef5cadee

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:eb005f97d4c9dd839048048894e02acb7f8a33ecb7aeecb91096f05c8cca58b1

Observation c84f45f0-1348-45b3-9f59-bc00904d309c · inbound

Algebraic versus physical uniqueness of MHV gravity numerators cites this paper.

Algebraic versus physical uniqueness of MHV gravity numerators Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-16T00:43:37.149269Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:43:37.149269Z digest=sha256:d3c176588a893b2d1d7ff08da2a3c08ff59b61ea10d129f46a71c83c0fef12f3