Paper Citation Record · LEDGER

On-shell representation and further instances of the 2-split behavior of amplitudes

As of 18 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 3 inbound Pith citation observations for arXiv:2512.20790.

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

pith.paper-citation-record.v1
2512.20790 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:26:20.085918Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:46:39.001405Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T21:21:11.903781Z

Reference resolution

21 of 21 outbound references displayed

verified exact10
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 922937d7-16b8-48f4-8db1-ec3ef734c5d8 · outbound

This paper cites Causal diamonds, cluster polytopes and scattering amplitudes.JHEP, 11:049, 2022.

On-shell representation and further instances of the 2-split behavior of amplitudes Causal diamonds, cluster polytopes and scattering amplitudes.JHEP, 11:049, 2022

Reference 1

Resolution: verified exact; doi, observed 2026-08-03T14:29:04.206701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 81dc1212-b770-4ad2-9583-922021ae407a · outbound

This paper cites Smoothly splitting amplitudes and semi-locality.JHEP, 08:252, 2022.

On-shell representation and further instances of the 2-split behavior of amplitudes Smoothly splitting amplitudes and semi-locality.JHEP, 08:252, 2022

Reference 2

Resolution: verified exact; doi, observed 2026-08-03T14:29:03.929253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d4844d29-2c37-4cef-bb9b-ae85cb215302 · outbound

This paper cites Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons.JHEP, 10: 231, 2024.

On-shell representation and further instances of the 2-split behavior of amplitudes Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons.JHEP, 10: 231, 2024

Reference 3

Resolution: verified exact; doi, observed 2026-08-03T14:29:03.582431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 40ce7fee-162d-40db-8694-c79f98457c43 · outbound

This paper cites A universal splitting of tree-level string and particle scattering amplitudes.Phys.

On-shell representation and further instances of the 2-split behavior of amplitudes A universal splitting of tree-level string and particle scattering amplitudes.Phys

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:19.986383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d990a3f-470b-4286-aae7-cd36358704ec · outbound

This paper cites On universal splittings of tree-level particle and string scattering amplitudes.JHEP, 09:049, 2024.

On-shell representation and further instances of the 2-split behavior of amplitudes On universal splittings of tree-level particle and string scattering amplitudes.JHEP, 09:049, 2024

Reference 5

Resolution: verified exact; doi, observed 2026-08-03T14:29:03.249715Z

Source-reported events for the cited work

correction dated 2025-02-03. Source: crossref record 10.1007/jhep01(2025)126->10.1007/jhep09(2024)049:correction, observed 2026-07-11T03:14:38.483588+00:00. This notice travels one citation hop only.

Observation 5c255b46-706d-4c89-a280-82fdf7ef0b77 · outbound

This paper cites Hidden zeros and 2-split via BCFW recursion relation.JHEP, 08:205, 2025.

On-shell representation and further instances of the 2-split behavior of amplitudes Hidden zeros and 2-split via BCFW recursion relation.JHEP, 08:205, 2025

Reference 6

Resolution: verified exact; doi, observed 2026-08-03T14:29:03.039109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 004ab5b3-9166-4752-893b-966df946e350 · outbound

This paper cites Hidden zeros for higher-derivative YM and GR amplitudes at tree-level.

On-shell representation and further instances of the 2-split behavior of amplitudes Hidden zeros for higher-derivative YM and GR amplitudes at tree-level

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.011343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db5e9491-f0de-40b3-947c-40a227ef0a62 · outbound

This paper cites 2-split from Feynman diagrams and Expansions.

On-shell representation and further instances of the 2-split behavior of amplitudes 2-split from Feynman diagrams and Expansions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.020590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d731d545-576e-45dd-9b74-943b7119fb43 · outbound

This paper cites Brown, Karol Kampf, Umut Oktem, Shruti Paranjape, and Jaroslav Trnka.

On-shell representation and further instances of the 2-split behavior of amplitudes Brown, Karol Kampf, Umut Oktem, Shruti Paranjape, and Jaroslav Trnka

Reference 9

Resolution: verified exact; doi, observed 2026-08-03T14:29:02.872848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6f0b66bc-23a6-43cc-9a24-182a8330a384 · outbound

This paper cites Unifying Relations for Scattering Amplitudes.JHEP, 02:095, 2018.

On-shell representation and further instances of the 2-split behavior of amplitudes Unifying Relations for Scattering Amplitudes.JHEP, 02:095, 2018

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.031138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9c96474-348a-4ce1-a209-6577aa9fa7cb · outbound

This paper cites Conformal Gravity from Gauge Theory.

On-shell representation and further instances of the 2-split behavior of amplitudes Conformal Gravity from Gauge Theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.036170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b74aeb51-d9bb-4de1-8abf-339c13e3e9d3 · outbound

This paper cites Scattering of Massless Particles in Arbitrary Dimensions.Phys.

On-shell representation and further instances of the 2-split behavior of amplitudes Scattering of Massless Particles in Arbitrary Dimensions.Phys

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.040964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1da9217-a3e1-46e7-b927-b6f97ac09d7e · outbound

This paper cites Scattering of Massless Particles: Scalars, Gluons and Gravitons.JHEP, 07:033, 2014.

On-shell representation and further instances of the 2-split behavior of amplitudes Scattering of Massless Particles: Scalars, Gluons and Gravitons.JHEP, 07:033, 2014

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.046491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9b41566-8883-4886-9753-039073fe84eb · outbound

This paper cites Ambitwistor formulations of R 2 gravity and (DF)2 gauge theories.JHEP, 11:052, 2017.

On-shell representation and further instances of the 2-split behavior of amplitudes Ambitwistor formulations of R 2 gravity and (DF)2 gauge theories.JHEP, 11:052, 2017

Reference 14

Resolution: verified exact; doi, observed 2026-08-03T14:29:02.567037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 68d669d1-2780-4acc-8c5b-52d304a1da2e · outbound

This paper cites an unresolved cited work.

On-shell representation and further instances of the 2-split behavior of amplitudes Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.057565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98777987-c2c2-46f8-8f15-88e86a2422b5 · outbound

This paper cites Heterotic and bosonic string amplitudes via field theory.JHEP, 10:012, 2018.

On-shell representation and further instances of the 2-split behavior of amplitudes Heterotic and bosonic string amplitudes via field theory.JHEP, 10:012, 2018

Reference 16

Resolution: verified exact; doi, observed 2026-08-03T14:29:02.286872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c080aa49-72a1-4623-9e0e-3193984dacee · outbound

This paper cites Massive Strings from a Field Theory with Ghosts.Phys.

On-shell representation and further instances of the 2-split behavior of amplitudes Massive Strings from a Field Theory with Ghosts.Phys

Reference 17

Resolution: verified exact; doi, observed 2026-08-03T14:29:02.088986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 97083e16-ba67-4ec3-8048-713503aedfab · outbound

This paper cites an unresolved cited work.

On-shell representation and further instances of the 2-split behavior of amplitudes Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.071858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e45926f-1928-44cc-b1df-b04fe210039f · outbound

This paper cites A Novel On-Shell Recursive Relation.

On-shell representation and further instances of the 2-split behavior of amplitudes A Novel On-Shell Recursive Relation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.076179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 848f6c13-ee3a-45d3-afb9-7ad2b16498e0 · outbound

This paper cites Naculich.

On-shell representation and further instances of the 2-split behavior of amplitudes Naculich

Reference 20

Resolution: verified exact; doi, observed 2026-08-03T14:29:01.828335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0cbb73c6-9eef-4652-b146-b4e012c41fe7 · outbound

This paper cites Naculich.

On-shell representation and further instances of the 2-split behavior of amplitudes Naculich

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:20.085918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 9394cee9-fc2d-43d7-9c6e-f007112df5b1 · inbound

A Novel On-Shell Recursive Relation cites this paper.

A Novel On-Shell Recursive Relation On-shell representation and further instances of the 2-split behavior of amplitudes

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:39.001405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 318dcb45-23cf-4477-a6f8-bd31dd46b3a4 · 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 On-shell representation and further instances of the 2-split behavior of amplitudes

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-06-09T03:07:07.855850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bd9fb667-4701-497d-bbd3-413c6b3ace27 · 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 On-shell representation and further instances of the 2-split behavior of amplitudes

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-06-09T03:07:07.855850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.