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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 10 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 2026-08-10T06:31:04.303077+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
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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=sha256:89281c557f108c9575f14a9968872225ee9215e045c0fe389714af63ee761fba

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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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=sha256:3c83504734e20a94f715d4d5d34f9bffbae58247dfcef8844b23a8dde1d82ea7

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:e50197537db53c58a7ef6ab56cd3205c8b90868428d52e95bc5393c842dcb20c

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

source=pdf_text observed=2026-05-22T18:32:08.685472Z digest=sha256:aaf18ffd46cdd935c1a9650912920d72d619f33011d075f132c67cab5239333d

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

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=2026-05-19T11:45:43.424808Z digest=sha256:512fe143f3e1250e5f33cb0540cee08c433996acc2fc9c5713140cd794c0bed0

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:ace95a14e85115f59a8dcbfb5b70e771877ff6d3112aaa4f2f6b399f49b2ec93

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:a13065f6bb6f35b2d50cd64125348d07654dcab708b26d623c35ec0926692286

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:a9d8657d4011f5fe9bc7ca5be5ac0dbdf6bf775915157fe264febe1091d35ded

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=sha256:74df4f3c514b346e5e256c942bfe989a7f5f959f78dea05515aaea937e35a15c

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

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:440cd47d4d9164510df507f59adff51c75c302167729b63d41e328c257084a15

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=sha256:9e6301f0dc3ed098f1eeef4123bb37d46a6b2924b1f70ae64d86aefd3a010e07

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:babfbe8fe05ac5b97e80e32a6c9c6c663c3b7e2f8cff0a5ff020c1c6c9189bb5

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:49:18.564257Z digest=sha256:6f55c7f7380bf80c573bc64462549f05c879aad30aaa99ac6b85b115db8fdc6b

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:ea30ecc6559f85bb920f69e0cf1dd8514379618dee8e56514b2b8053f423480c

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:b75bfe3677c1dfde3f0c84a40ce2d866500f2d878094fa9968809644314fa752

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:fdac46d5d8034d5596f112634f557e86ec077f601f9233c44051e80db6f18eac

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=sha256:64fd30eed921a943a39581d8ffef4910af1b6cd6198e4c9ec67ee0c70584af7f

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

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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=sha256:3e174a3ed840d55cae14c382d43167eb059b267900d338e2f92165ed78abc7e6

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=sha256:021d483bfe9cef4d6e5da53fce4d19141427357a44299fa723abd838d7b64f17

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

source=pdf_text observed=2026-05-10T09:56:27.434763Z digest=sha256:c2c4baa73ab3200a5637df971617516f99a4fca5437636902badde1cedfb1cbb

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=sha256:48b88c5619249094ee270b7b068e36038cc63fe13316b13b52713a0256698716

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

source=pdf_text observed=2026-05-13T03:17:03.289602Z digest=sha256:6d374959f9f4c54790af85146af8f3526ff1b33aa5032ab6369fbd9ecd34a714

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:d9b0db64e0f8e95edacb7b51443299449b39510b171e9bfdd92664c7961a487d

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

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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=sha256:31acdc9e0667291997a055e03d2cf93e3699803bbbad59ad0e64233591ccb48d

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:a1ac006101415e78fcd29c51a1ff50249215b62ebbe33b0eeb1fe0ee0fcd05aa

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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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=sha256:98c24d7fc31d4f80cb3d286428ab579f73ac91a1d43f1fac442ef213bcb52886

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:d6b264dd7e672c41d9d39386b44b013a9d8d69b9b138850b397bab2f9d81ce7b

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=sha256:65c1c6e69951cdba26baf58192cf0558774c658bcae5a5be7c640abe4da3bfd3

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:efec7d92bb8c250a4be4135311cc14c31c55052d62ef066da3fc8939a33986ed

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:d50cde39fd5fa8cbc9b94f0703249630b114f9283af351d2efb9832380ead7b7