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Paper Citation Record · LEDGER

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

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 20 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 20 of 20 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 20 of 20 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T11:15:50.259264Z

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

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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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-23T17:48:22.572396Z digest=sha256:332106ec16b0ad0cd2a530acdf7a2d1c8350a0c7e431cd8cf7754ffcc5840f80

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-23T04:25:41.460847Z digest=sha256:2fb947f7eb0a1bebdb5eac1a183d968f869a2733451b827ad3d5d1c65e224d9b

Observation f4edfa05-c706-4c88-b016-b5b27c01ce8c · inbound

The CEGM NLSM cites this paper.

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

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-08T11:15:50.259264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T11:15:50.259264Z digest=sha256:a6c97b1ac74af0cb01e6335097d4fce829a38714003da39f371448db1640b7d8

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-22T18:32:08.685472Z digest=sha256:550865d38bd2f663c027773bae68d7a321ada0441294cddb1c2a2ab885b0462a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-19T11:45:43.424808Z digest=sha256:32b4fc7827b906781f37090702d66f43fc65f85da7c4cb303c076ab32f8105f8

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=sha256:9ad268abd3d17b007cc8aacddf1b30828546663380e0322ff91dbda9073da2b4

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=sha256:1143672f9f311cc88f0fee5e41f4f5ed38264fe4d1f55ad690f607cb20ec4f4e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T22:37:52.217797Z digest=sha256:c614217dc46ed6a5dbf6c082c532689b56d61db33cfc60a8ea99f85143108b5f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T21:05:15.357598Z digest=sha256:0074b0218518de195cf4b747251d03b95b8ee2bd763363791f472088a46af999

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T08:06:38.305253Z digest=sha256:1dc1532399e29b2164c1d48a565f63dc74b169df25c98390bdcb72cff6124a5f

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:e1c5abbdf0869c6a8a17c5a5c6f805d4ec165919763d16d39baaf1c333b5c214

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T13:10:11.606140Z digest=sha256:eeb89680a99c2a241b758ad3e009d6183700c7428027183f5c1c989f0f2ccd58

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=sha256:07042cfcd4badb4b9b9b07d093c7c2d501a72617e8e80a4c813c036254129f89

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=sha256:6b2acb6fc66fbc74078ab0bd132614514086b8bb2c0189222bc968fc3cb5dbea

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T18:37:52.372626Z digest=sha256:c4058e2e178927817ef2a175896637b4af58f7e4643166be1929170e4195d92b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T13:24:28.636900Z digest=sha256:cfb0182c279d387e688a961079face5e9f48c74d424c8ea9cb20697ea6f53525

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T05:50:48.795816Z digest=sha256:a1245c447bf468cdd9cd94747133441085dcd9fc9699696872a975a272ddf030

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-13T03:17:03.289602Z digest=sha256:a2c8b7cf4d7756d5a6f54619b1380d82bb5e84933e3d03418871d7263a5a2824

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T22:10:29.803501Z digest=sha256:4b6efcb814861171c95cbd3763f367d76328b253b79a6c0e51fd2e8ce5c4b5fc

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:cd61b32bf68078e6709f12861a6244febefbb2c17a24c63ae7d245414f8eaadc