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Paper Citation Record · LEDGER

All-order splits and multi-soft limits for particle and string amplitudes

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 19 inbound Pith citation observations for arXiv:2405.09608.

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

pith.paper-citation-record.v1
2405.09608 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 19 of 19 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:08:40.384022Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T14:15:46.936079Z

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 4732542a-7df0-41de-accc-c7f96f8c4c17 · 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 All-order splits and multi-soft limits for particle and string amplitudes

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-23T17:53:19.444553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T17:48:22.572396Z digest=sha256:6fc65ad9fd1b520ffb33d9ec00807241ec1418addda2a86b0aee6783fad89d70

Observation 2804c144-0455-4018-b474-3fc84c551a50 · inbound

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

Note on hidden zeros and expansions of tree-level amplitudes All-order splits and multi-soft limits for particle and string amplitudes

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:27:31.344507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T04:25:41.460847Z digest=sha256:2700cc23133755796bf577fbd7a8b680bb9a66376b7ec77c6f2fe0917e3e11b9

Observation 67912bd8-9b51-45b9-ad34-e8c1601b503a · inbound

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

Hidden Zeros and $2$-split via BCFW Recursion Relation All-order splits and multi-soft limits for particle and string amplitudes

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-22T18:35:02.542796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-22T18:32:08.685472Z digest=sha256:af641341dddab2dd70d26c8e321daa88eea11c30e83dbf0e2407e49a0d0c2563

Observation 7758c18e-6e80-474a-bc0e-221a885780cb · 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 All-order splits and multi-soft limits for particle and string amplitudes

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-19T11:47:15.965793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T11:45:43.424808Z digest=sha256:dd0160d6ded8ae5b16914c2e2da71dfa0bc26d20f1e0eff787f6b2f3cb3faf60

Observation feb325cc-6d27-4632-b2cc-2ddb5b9aaa9f · inbound

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

Splitting Regions and Shrinking Islands from Higher Point Constraints All-order splits and multi-soft limits for particle and string amplitudes

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-06T22:08:40.384022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:40.384022Z digest=sha256:dfe72a632748a4085a556c3bf81fef94b56f5345c98525b077dea07b1413f59e

Observation ab243bc9-2618-452f-935a-eb010a42df2e · inbound

Strings from Almost Nothing cites this paper.

Strings from Almost Nothing All-order splits and multi-soft limits for particle and string amplitudes

Reference 131

Resolution
unresolved
no resolver link, observed 2026-08-05T21:19:34.282671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:19:34.282671Z digest=sha256:2f18730651e63fd44b5ccf3021d680de466b14f628d7235f81cf95b852896a1c

Observation bfa038fb-f6ab-4f32-a988-a9bac0c3676d · 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 All-order splits and multi-soft limits for particle and string amplitudes

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-18T22:41:53.610812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-18T22:37:52.217797Z digest=sha256:54a8dbcfd7414539800ee0e627e0b126dc608d6c82247c1b8de39548465b6a45

Observation 663a075c-e1e5-4e3d-b05e-5758d0dc5cd5 · inbound

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

$2$-split from Feynman diagrams and Expansions All-order splits and multi-soft limits for particle and string amplitudes

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-18T21:06:50.547240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-18T21:05:15.357598Z digest=sha256:c4c1951528dbc7ab94bedab09a3e9dddbce7aab110e9630e438f1e14c4f077d6

Observation 96f4d1c8-eb63-4125-bec8-514e2f7f39d4 · 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 All-order splits and multi-soft limits for particle and string amplitudes

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-18T08:11:07.006601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:7c64c456888ba12f8ce538aefd5ea6490074de9a88b9db5396cc51d2218a8496

Observation 60e93614-91a6-4ce4-b9fa-a5da5f2e3277 · inbound

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

On differential operators for scalar-scaffolded gluons All-order splits and multi-soft limits for particle and string amplitudes

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T15:46:17.662246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:46:17.662246Z digest=sha256:bf9afe44af030e0589cd1558eab59361aa36fc7d1f387182f8f494f08a428849

Observation 6c6b2c8a-d20a-44c1-8311-13e1fcb23bb3 · inbound

String Theory from Maximal Supersymmetry cites this paper.

String Theory from Maximal Supersymmetry All-order splits and multi-soft limits for particle and string amplitudes

Reference 75

Resolution
verified exact
arxiv_id, observed 2026-05-16T13:10:56.598957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-16T13:10:11.606140Z digest=sha256:7a9a31ea40b7f7abb360b8adf8e288ead832ac6c9809cbdf545419860c669fc8

Observation c3a5e83f-4da2-4c71-b523-6afdd56fd806 · inbound

String Theory from Maximal Supersymmetry cites this paper.

String Theory from Maximal Supersymmetry All-order splits and multi-soft limits for particle and string amplitudes

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-03T10:04:55.011261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:04:55.011261Z digest=sha256:c6545ee3bf3cb98c43abf7f874befa33f99cab3506d32d0f816d5f52581a8b98

Observation 5c4deebb-7571-45ee-a791-a39093ea5a13 · inbound

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

Higher-Spin and Higher-Point Constraints on Stringy Amplitudes All-order splits and multi-soft limits for particle and string amplitudes

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-02T18:59:41.221930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:59:41.221930Z digest=sha256:1773fec827a200e49c8d22b6aaa683c455accb1801cb564494403e899f593476

Observation 0895c444-cf6e-438b-94cb-61c6162a03d6 · 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? All-order splits and multi-soft limits for particle and string amplitudes

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-11T00:15:53.664849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T18:37:52.372626Z digest=sha256:79e453536124bc7c944971153fb1426eded1a6c6ebf64ed0580fb8948fdbf169

Observation 04b5d290-b7ee-4f82-9ca0-db477a152384 · 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 All-order splits and multi-soft limits for particle and string amplitudes

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-10T13:25:25.847073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T13:24:28.636900Z digest=sha256:fe302f301025ff3117ed863cc98420fa2d0cafc08e4cd14a704d5abebb046ef5

Observation d8248075-e851-4918-9f6e-07fbec575f0c · 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 All-order splits and multi-soft limits for particle and string amplitudes

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:21:11.784979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-08T05:50:48.795816Z digest=sha256:91b7cf12389ed1e0cc65a20ad173c3a0ad293757b83428a620c32c5eed974251

Observation 9454fda8-df01-40af-89bf-05ff1333f86f · inbound

Analytic Bootstrap of the Veneziano Amplitude cites this paper.

Analytic Bootstrap of the Veneziano Amplitude All-order splits and multi-soft limits for particle and string amplitudes

Reference 69

Resolution
verified exact
arxiv_id, observed 2026-05-13T03:17:11.112741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-13T03:17:03.289602Z digest=sha256:e90c54276b5425fec35fa53e0d74877e38794f39343cc55a8bacb3720c546181

Observation 2296bc32-0c03-491f-a763-37e6f95ec211 · inbound

Analytic Bootstrap of the Veneziano Amplitude cites this paper.

Analytic Bootstrap of the Veneziano Amplitude All-order splits and multi-soft limits for particle and string amplitudes

Reference 69

Resolution
verified exact
arxiv_id, observed 2026-07-01T14:15:46.937728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-30T22:10:29.803501Z digest=sha256:ca65c8ae345cd17c3f6c2b3cd8603b2cdb690453bade0f936ff5a54c2996e217

Observation d518a694-2c06-4f5a-a865-5295f715f826 · inbound

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

NLSM amplitudes from a quartic two-derivative theory All-order splits and multi-soft limits for particle and string amplitudes

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-01T09:08:12.854981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:08:12.854981Z digest=sha256:8958272fc54fc8a7808c55f65b80ff8f7b707bdf6a7b10d0b3983da01de9aea1