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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 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 32 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 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 32 of 32 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:13:59.552291Z

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

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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 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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T17:48:22.572396Z digest=sha256:d3f40cd298827b88c4be4db20a89c5b2339f67ed53a3e595c54f378c1f02e435

Observation be545252-4038-4c0a-b8f4-6736e93d0540 · inbound

On one-loop amplitudes in gauge theories cites this paper.

On one-loop amplitudes in gauge theories Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 19

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no resolver link, observed 2026-08-11T00:13:59.552291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:13:59.552291Z digest=sha256:cb6b281e5e1d2dd421f5883a931921a9cad576727cc1d3509c1f08d19611e903

Observation 0e21dedc-d0ed-4800-a0be-7c375c21766e · inbound

Open String Amplitudes: Singularities, Asymptotics, and New Representations cites this paper.

Open String Amplitudes: Singularities, Asymptotics, and New Representations Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 5

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unresolved
no resolver link, observed 2026-08-10T23:23:04.457090Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:23:04.457090Z digest=sha256:dfe4abc85298607d5691040ad266fc7e0af9c8baad43a4232e3c7b9cdf2ebcc6

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T04:25:41.460847Z digest=sha256:8d593c32109b116a71f9219d475cba08f2d12f745332390185b6706c61f0dd60

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:e1779b1f82ce7a6fc2088357044cade6debb6792f018b7ab514d75086db24255

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

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-22T18:32:08.685472Z digest=sha256:0b324ba8122f69b1cbd750e6d69d99f71e6486b31b8a4c19a31ff4bd22aafd20

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

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T11:45:43.424808Z digest=sha256:d1af476ca778d739b0afc75dc9cf25499c56238678012bd0127dde9ebd17ab64

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

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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=sha256:07cb79895a36d263e046f05576ac317da3fe44b9fe502fd8cad7a3af9dfb363d

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=sha256:74c89fddda8091c908cb98fac137f643ed1a20c99bafe0a1601abbab58f10e67

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T22:37:52.217797Z digest=sha256:6e38f74ee3d07c5e8fff19bca396b120ca7b444d4a98edf2a3860a0112e93ed4

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T21:05:15.357598Z digest=sha256:0d2bb3f0e3f04aeecfe056178bb92ee8119e88c6297a35ec1a58f81d60fcca8c

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:85590b20c821e9165ba9ef942bdd263800a40a64821e766ddd61434474249693

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

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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=sha256:3e2999c383c5ca64be88d1c8127ed24ffb246a5ceb7107c7f99432df2383f656

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T16:35:30.325835Z digest=sha256:082c4cd1da41efd87ec913e465d6927a3fe831313dbcd5c892bd37d888913488

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=sha256:82b3633128fe53db57e58ca343a41302cb465da20a6eb77ff43193d8041b1fcf

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-16T13:10:11.606140Z digest=sha256:a73d382b50654f5112cd98e663487bbbccfdb281b1d50839fdcd556dc652ed8d

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=sha256:14927ccb2f4114659af958404aafcbedeee63a5f9f270adfe33c2385683121bb

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:ad24ed1c84327799fd71307dcaac762f866c3b753ce581a2fc51f53f4929d1e5

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=sha256:64dec1d62a6afa35a5fc2e946df45b1f0bec70ff26514325f9e841fc1f937cc3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T18:37:52.372626Z digest=sha256:eff54b6b1fa9a80d27a4e51e9ca63a27ef8614c4e7519d0e2249c34d47c74ba5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T13:24:28.636900Z digest=sha256:ea68c8b2f7228afa7efe794ea1cddbf953d32fbfe84497e7bb1fc1f1a4c5b9b8

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

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T09:56:27.434763Z digest=sha256:82e3ceb68c6f533b1d8bd4f2a2138bcfef9a99da082452234951103a4ba629fa

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T05:50:48.795816Z digest=sha256:2131cb7e0375d4d7d9c123195ddbe68958ad8991a83257b6f3aaa46a8a32839e

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

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-13T03:17:03.289602Z digest=sha256:55c17f72b832db7aab6f502250180aa568fbb8359f37980840dd1fef4544add3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T22:10:29.803501Z digest=sha256:a798bf9eba1a362adb2b40b2a04ed669075b8d13299e96fe10fa4d20896802ab

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-22T09:21:45.022552Z digest=sha256:21c4a97cfbbe87470c5ba263281afe5b6e523de272d21a408228670ff4d9ec8d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-25T19:21:59.510341Z digest=sha256:503483f3d6c42fd664669006a5bf991d05966cce198cfbd2c93f4de28058c3c5

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

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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=sha256:3c7f8ebb6b0e0bb348d586cd2c66983fb4a812144be19d0a025c607551aa89fc

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-29T03:47:21.331582Z digest=sha256:57cd2dd83fee76c8d4fce6359994e79fde21b043b7c055483cbe29ab3e6d1d3c

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=sha256:8be11e52cd570395fed259e97579e3560867208cb8c4e49a23e203ba2552ead1

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:daa6999962ff0664d4979ac347a6073bbd4700b69d23704257cce9e048f46940

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=sha256:653a2fee90e754ee6f8fb794207a694805dd4150caf33f782351528ae200115a