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Paper Citation Record · LEDGER

Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 30 inbound Pith citation observations for arXiv:2312.16282.

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

pith.paper-citation-record.v1
2312.16282 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 30 of 30 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 30 of 30 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T11:15:50.256002Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T21:00:08.611062Z

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 09e47911-85d3-48a3-827a-1b169b69232e · 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 Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-23T17:53:19.401299Z

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=sha256:6cec9bac75b7dee054470d24cac4841487beb8bf3478141e342839079a675233

Observation bfc9ffbd-bb56-414e-8fa6-ee50cad7b67f · 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 for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 13

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verified exact
arxiv_id, observed 2026-05-23T04:27:31.284123Z

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=2026-05-23T04:25:41.460847Z digest=sha256:63909203eeabf5af97767bf8a654588b94819fe869cde6b9b84a8ded2e5e1402

Observation 6c7e8fca-e9ee-49a6-915e-1ac02fa37f18 · inbound

The CEGM NLSM cites this paper.

The CEGM NLSM Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-08T11:15:50.256002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T11:15:50.256002Z digest=sha256:7a2923b5ecd513bff6835dbee665e5c65890115b6bec8cc15bb5f8bf2458cd55

Observation acbf404c-5799-4388-bfe6-2b420e72803a · inbound

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

Hidden Zeros and $2$-split via BCFW Recursion Relation Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-22T18:35:02.530647Z

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

source=pdf_text observed=2026-05-22T18:32:08.685472Z digest=sha256:ea5945b596501a3bf0b823299a963c9d62e6b24eb4ba7d26f6ac311dfa919288

Observation c8d87844-a7c7-40e4-8dea-89d09e1e431f · 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 for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-19T11:47:15.942014Z

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:beb52664bcefd4e1aa2e2e6eba9f00eaf699c85dc6954904025d45f29fd06a3d

Observation 9e9ae3c6-7de5-49b8-a447-7cdf55229a70 · inbound

Splitting Regions and Shrinking Islands from Higher Point Constraints cites this paper.

Splitting Regions and Shrinking Islands from Higher Point Constraints Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-06T22:08:40.254155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:40.254155Z digest=sha256:a8467e5fedcca63dc7f401ebfd8a20bf85975f4badbd276426470acbeeb02da6

Observation 8591ef70-d704-4fff-be6e-4a5fc85a4ce7 · inbound

Strings from Almost Nothing cites this paper.

Strings from Almost Nothing Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 130

Resolution
unresolved
no resolver link, observed 2026-08-05T21:19:34.232089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:19:34.232089Z digest=sha256:b11b299f636acbdae10eb71c3c9fdcbc3c7460630809e6f755adea978b0d4321

Observation f52d182f-9b7a-4c71-bf73-ebbc971e48e6 · 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 for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-18T22:41:53.512966Z

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=sha256:4e0a3110e54ebae430995e6b755c1fbf9bd6c82db4d34cf69fa5121edb72bfff

Observation 3ed7c78d-40a0-4bd1-ae79-4336e7c499c8 · inbound

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

$2$-split from Feynman diagrams and Expansions Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-18T21:06:50.710986Z

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=sha256:8457bb3296e29927e86f16d07e25a605fb0a77cb8c0f7734b543cabc0969a1e4

Observation 5f459b75-feed-46cf-92e6-12ea96073cd0 · 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 for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-18T08:11:06.977228Z

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=sha256:6e164c3d5050d812cf982c34e361004668d9516fc040d0251245d31257eed659

Observation 9de1560b-32e0-40ee-b076-9df2c536e46f · inbound

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

On differential operators for scalar-scaffolded gluons Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T15:46:17.272581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:46:17.272581Z digest=sha256:098cc4446fb9d47af4335b40576c70776c6fc50ddc54d2f5b7dabb0992d8fadd

Observation ffba98b2-4eb8-4745-ad25-22db855268ae · inbound

Correlators are simpler than wavefunctions cites this paper.

Correlators are simpler than wavefunctions Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-21T16:40:22.723859Z

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=2026-05-21T16:35:30.325835Z digest=sha256:0fd80f3bc52c9f915c8383466f4825ab46ec016c96fdbf49bedfce995c525d29

Observation ccf5ac56-ccc4-4a4f-9212-10ad9a35f744 · inbound

Correlators are simpler than wavefunctions cites this paper.

Correlators are simpler than wavefunctions Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-03T13:49:18.564257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:49:18.564257Z digest=sha256:db4efde3f941b0fcf033bf65754452efe6bd9d2f080787d9a164074407acc259

Observation 8d6ab57d-a2fd-4fcd-8b2c-312393e8ae28 · inbound

String Theory from Maximal Supersymmetry cites this paper.

String Theory from Maximal Supersymmetry Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-05-16T13:10:56.577348Z

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=2026-05-16T13:10:11.606140Z digest=sha256:a8716f2bfdbd7e5644a6841c5295bd344ca7ddeeb95aa20557afac95774939d0

Observation 870d4450-97c7-4172-8950-d63ac250c068 · inbound

String Theory from Maximal Supersymmetry cites this paper.

String Theory from Maximal Supersymmetry Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-03T10:04:54.949603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:04:54.949603Z digest=sha256:828c8bbe8300544aaacde82df4a7b278c07cfd98cf3462b89822fb2e531e3b30

Observation 538ba604-1594-41e0-afd8-beff7fb43a19 · inbound

Curve integral formula for the M\"obius strip cites this paper.

Curve integral formula for the M\"obius strip Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-02T19:19:33.441436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:19:33.441436Z digest=sha256:d53d13c7fac4cc0396e345ad7154edda383fbe118f1c5caead3005f9bf0073ce

Observation a20291e5-81b1-422d-972b-057dd5fd1eb7 · inbound

Higher-Spin and Higher-Point Constraints on Stringy Amplitudes cites this paper.

Higher-Spin and Higher-Point Constraints on Stringy Amplitudes Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-02T18:59:41.091715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:59:41.091715Z digest=sha256:93205ec2927260620bd66f8bd8ee2cfd11b4aa93855c8653f201b8c1b683bedf

Observation 9b49aa4f-9f7e-4997-8254-fdc8fb422926 · 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 for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-11T00:15:53.233392Z

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=2026-05-10T18:37:52.372626Z digest=sha256:47e4c08368867d31021645cba5336d605f9c45126147ff5bbbc7ab25051f4cd7

Observation 6fb3ba03-5713-4acf-af0d-fab958f6ff48 · 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 for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-10T13:25:25.900909Z

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=2026-05-10T13:24:28.636900Z digest=sha256:a7f1353cd1220a1ae9f453690c8f7c6775328dd81c84b6ca8d7c316f9a842b7c

Observation 11c91555-1b71-408d-976f-e66d34c1ad36 · inbound

On the Inverse Problem in Effective Field Theory cites this paper.

On the Inverse Problem in Effective Field Theory Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 12

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T09:59:03.126917Z

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=2026-05-10T09:56:27.434763Z digest=sha256:35cab27c8b29ad94f47b91f4404911b7ab22604502fd2351caa6d959ae352f19

Observation 0ebf78b0-7c45-41e4-a230-2a13f0323559 · 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 for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:21:11.563297Z

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:a25ccd09ffd9072854425e4e131f11fd1893f42783b6b91c45d67ed06c79cdd2

Observation 80705e69-f27c-40b8-910b-a4a5dbb04298 · inbound

Analytic Bootstrap of the Veneziano Amplitude cites this paper.

Analytic Bootstrap of the Veneziano Amplitude Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 67

Resolution
verified exact
arxiv_id, observed 2026-05-13T03:17:10.934486Z

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=2026-05-13T03:17:03.289602Z digest=sha256:200556c0c750c40593bf3f71a921f284c52948d95758c2af2d5d13b84852f1bd

Observation 2c598de4-b398-42aa-a911-984c316a876f · inbound

Analytic Bootstrap of the Veneziano Amplitude cites this paper.

Analytic Bootstrap of the Veneziano Amplitude Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 67

Resolution
verified exact
arxiv_id, observed 2026-07-01T14:15:46.945819Z

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=2026-06-30T22:10:29.803501Z digest=sha256:0d757cb1b84ff75b2d25af809fc6b12bf2435bda77e31418c23ded348bf96e0e

Observation 6c9a346b-3b85-4a61-9f7d-f2461a119148 · inbound

Multipositivity Constrains the Chiral Lagrangian cites this paper.

Multipositivity Constrains the Chiral Lagrangian Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 26

Resolution
metadata mismatch
arxiv_id, observed 2026-05-22T09:24:46.304519Z

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:d66b390840884da2483c8da001c1b80f961a68a045d83b543cb226e9e85c8548

Observation 4ae8e8b9-12fc-488a-939c-26d5ebc24784 · inbound

From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space cites this paper.

From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 32

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verified exact
arxiv_id, observed 2026-07-04T21:00:08.612484Z

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=2026-06-25T19:21:59.510341Z digest=sha256:14b3f72ad4399d5ebbe0405b6064fb24f142ec50910581d0919f8e07cb891f2b

Observation 4b9a2461-083e-4602-87fa-4720f8419d4c · inbound

From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space cites this paper.

From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 32

Resolution
unresolved
no resolver link, observed 2026-07-14T17:19:00.574642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T17:19:00.574642Z digest=sha256:c4abf27baa5f0c729db83b741babd855611f5e5003c0119fd599e73c314140ad

Observation e3545110-da73-45bd-ba2a-6dee1a020763 · inbound

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

Planar loop integrands from cuts in $D$ dimensions Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 15

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verified exact
arxiv_id, observed 2026-07-01T17:25:51.143819Z

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=sha256:8aeb000292d18e02f999c7c574f58c869bc4a4e2b612bf240103bee416d75329

Observation b3cfc92d-37d4-4ac5-88c7-3d98736d6ffc · inbound

Gravitational Effective Theories with Maximal Supersymmetry and a Peculiar Parity cites this paper.

Gravitational Effective Theories with Maximal Supersymmetry and a Peculiar Parity Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-02T02:48:48.513755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:48:48.513755Z digest=sha256:bd1c71e2e3ec94e4151d64833033ec8c821ebb222fb43b8fc301713c93fec24f

Observation 38bb2dfb-f076-4792-94b6-3d1198ea707d · 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 for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 19

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unresolved
no resolver link, observed 2026-08-01T10:05:04.742662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:05:04.742662Z digest=sha256:1351ea250bbe78dcb66351add4a1f53aaf28ce49c5a87ff0942fd2ed025c33fb

Observation 569d6227-3f7f-4e4f-8f62-77086c680c91 · inbound

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

NLSM amplitudes from a quartic two-derivative theory Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 29

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unresolved
no resolver link, observed 2026-08-01T09:08:10.965397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:08:10.965397Z digest=sha256:3c424bbb33c1b79133a0f72115e502168e8a99b5163e14879b99d3e6dc52f17e