Paper Citation Record · LEDGER

Smooth Splitting and Zeros from On-Shell Recursion

As of 16 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2505.02520.

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

pith.paper-citation-record.v1
2505.02520 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:53:11.745867Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:43:37.162555Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T00:43:39.478390Z

Reference resolution

51 of 51 outbound references displayed

verified exact7
verified fuzzy2
unresolved42
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f9da3c0b-bfca-4c01-b610-f1f21737ab70 · outbound

This paper cites Adler, Consistency conditions on the strong interactions implied by a partially conserved axial vector current, Phys.

Smooth Splitting and Zeros from On-Shell Recursion Adler, Consistency conditions on the strong interactions implied by a partially conserved axial vector current, Phys

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:53:12.363348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 71dc9678-1b87-4392-9c72-f8aaf5797c93 · outbound

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

Smooth Splitting and Zeros from On-Shell Recursion Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.541114Z

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Unavailable: canonical work link unavailable.

Observation 94b42d3f-2a9d-4978-88fc-4a54a996d7b6 · outbound

This paper cites Hidden Amplitude Zeros From Double Copy.

Smooth Splitting and Zeros from On-Shell Recursion Hidden Amplitude Zeros From Double Copy

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.545435Z

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Unavailable: canonical work link unavailable.

Observation 527a74f2-73de-413d-90c6-4fb656cb61be · outbound

This paper cites an unresolved cited work.

Smooth Splitting and Zeros from On-Shell Recursion Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.549446Z

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Observation 58827574-a813-4f9a-bfd4-c4af961d4b5d · outbound

This paper cites All-order splits and multi-soft limits for particle and string amplitudes.

Smooth Splitting and Zeros from On-Shell Recursion All-order splits and multi-soft limits for particle and string amplitudes

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.552997Z

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Observation 6aac44c6-9eaa-4278-8c04-7a0ca7f5349c · outbound

This paper cites A universal splitting of string and particle scattering amplitudes.

Smooth Splitting and Zeros from On-Shell Recursion A universal splitting of string and particle scattering amplitudes

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.556655Z

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Observation 944c6de1-5849-4a51-9c7f-fbe83608a26b · outbound

This paper cites On universal splittings of tree-level particle and string scattering amplitudes.

Smooth Splitting and Zeros from On-Shell Recursion On universal splittings of tree-level particle and string scattering amplitudes

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.560625Z

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Observation c4161d86-2755-4b6a-bcab-39aa1e33a66a · outbound

This paper cites New Recursion Relations for Tree Amplitudes of Gluons.

Smooth Splitting and Zeros from On-Shell Recursion New Recursion Relations for Tree Amplitudes of Gluons

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.564805Z

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Observation db265cdd-a625-4f34-b5ad-d4dcb9005282 · outbound

This paper cites Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory.

Smooth Splitting and Zeros from On-Shell Recursion Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.568957Z

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Unavailable: canonical work link unavailable.

Observation 47bedb4a-0aeb-4fd3-97bb-407d431f5142 · outbound

This paper cites Effective Field Theories from Soft Limits.

Smooth Splitting and Zeros from On-Shell Recursion Effective Field Theories from Soft Limits

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.573819Z

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Observation e376a4a9-0adf-4278-a3d0-85ed72a3e8ca · outbound

This paper cites On-Shell Recursion Relations for Effective Field Theories.

Smooth Splitting and Zeros from On-Shell Recursion On-Shell Recursion Relations for Effective Field Theories

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.578669Z

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Observation 0e48c8c2-2a40-4845-8547-04716916edb7 · outbound

This paper cites Berends and W.T.

Smooth Splitting and Zeros from On-Shell Recursion Berends and W.T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:53:12.351457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2ed6bbd5-f639-41cb-8212-5dc66b043208 · outbound

This paper cites MHV Vertices And Tree Amplitudes In Gauge Theory.

Smooth Splitting and Zeros from On-Shell Recursion MHV Vertices And Tree Amplitudes In Gauge Theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.586843Z

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Unavailable: canonical work link unavailable.

Observation bbfcbe56-8bee-4ab8-9a0c-d81a1283df50 · outbound

This paper cites An Etude on Recursion Relations and Triangulations.

Smooth Splitting and Zeros from On-Shell Recursion An Etude on Recursion Relations and Triangulations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.590841Z

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Observation d03e446f-5aa5-4373-90b1-d3943895d46c · outbound

This paper cites Triangulations for ABHY Polytopes and Recursions for Tree and Loop Amplitudes.

Smooth Splitting and Zeros from On-Shell Recursion Triangulations for ABHY Polytopes and Recursions for Tree and Loop Amplitudes

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.595019Z

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Unavailable: canonical work link unavailable.

Observation 040ae63c-1150-4e56-a2d1-78d0f9108a4d · outbound

This paper cites Taming Tree Amplitudes In General Relativity.

Smooth Splitting and Zeros from On-Shell Recursion Taming Tree Amplitudes In General Relativity

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.599812Z

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Unavailable: canonical work link unavailable.

Observation c7e4ec2a-c40a-4796-bacd-6edc731cdc12 · outbound

This paper cites A Periodic Table of Effective Field Theories.

Smooth Splitting and Zeros from On-Shell Recursion A Periodic Table of Effective Field Theories

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.604282Z

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Observation f815dcc0-e7a9-43e3-93e9-9f164dd423f3 · outbound

This paper cites Soft Bootstrap and Supersymmetry.

Smooth Splitting and Zeros from On-Shell Recursion Soft Bootstrap and Supersymmetry

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.608652Z

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Unavailable: canonical work link unavailable.

Observation 45554bfb-7808-4ff1-8d16-a2e0e491f8cf · outbound

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

Smooth Splitting and Zeros from On-Shell Recursion Hidden Zeros and $2$-split via BCFW Recursion Relation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.613348Z

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Unavailable: canonical work link unavailable.

Observation 5b9c545a-9f7b-41bf-9492-bc0742ad2fcc · outbound

This paper cites Gravity On-shell Diagrams.

Smooth Splitting and Zeros from On-Shell Recursion Gravity On-shell Diagrams

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.617525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fef7d2ca-61bd-4439-9a44-1b60619924b9 · outbound

This paper cites UV cancelations in gravity loop integrands.

Smooth Splitting and Zeros from On-Shell Recursion UV cancelations in gravity loop integrands

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:53:12.112983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation abb6eab2-1356-491b-853e-742ae2c5121a · outbound

This paper cites Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes.

Smooth Splitting and Zeros from On-Shell Recursion Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.625828Z

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Unavailable: canonical work link unavailable.

Observation 2e72faf5-a591-4bc4-b1a0-98854e5557fa · outbound

This paper cites Gravity Amplitudes From Double Bonus Relations.

Smooth Splitting and Zeros from On-Shell Recursion Gravity Amplitudes From Double Bonus Relations

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.630091Z

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Unavailable: canonical work link unavailable.

Observation 5abb658f-15a8-4383-aa4a-0ff68b3113a4 · outbound

This paper cites UV considerations on scattering amplitudes in a web of theories.

Smooth Splitting and Zeros from On-Shell Recursion UV considerations on scattering amplitudes in a web of theories

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.633945Z

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Unavailable: canonical work link unavailable.

Observation 38d447e9-88d3-48cd-8454-4bfbe85d528f · outbound

This paper cites Boundary Operators of BCFW Recursion Relation.

Smooth Splitting and Zeros from On-Shell Recursion Boundary Operators of BCFW Recursion Relation

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:53:12.066485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 769c023c-6da6-479c-b4dd-0477d14fe583 · outbound

This paper cites Computing NMHV Gravity Amplitudes at Infinity.

Smooth Splitting and Zeros from On-Shell Recursion Computing NMHV Gravity Amplitudes at Infinity

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:53:12.050854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f39973a2-54b9-482f-9b23-50a73b5dffb6 · outbound

This paper cites Connecting Infinity to Soft Factors.

Smooth Splitting and Zeros from On-Shell Recursion Connecting Infinity to Soft Factors

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:53:12.035157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dd5ee7fd-f3b0-45aa-8221-d8c15a89f458 · outbound

This paper cites Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure.

Smooth Splitting and Zeros from On-Shell Recursion Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.652079Z

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Observation 75f8a892-e69a-4ada-a4e8-f516e331812e · outbound

This paper cites Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop.

Smooth Splitting and Zeros from On-Shell Recursion Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.655694Z

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Unavailable: canonical work link unavailable.

Observation 9f474a4b-5927-4d43-801b-693693543409 · outbound

This paper cites Manifesting enhanced cancellations in supergravity: integrands versus integrals.

Smooth Splitting and Zeros from On-Shell Recursion Manifesting enhanced cancellations in supergravity: integrands versus integrals

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:53:11.999941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6143f8db-0852-4cd7-ad17-a1d172b58783 · outbound

This paper cites Gravity loop integrands from the ultraviolet.

Smooth Splitting and Zeros from On-Shell Recursion Gravity loop integrands from the ultraviolet

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:53:11.985413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 057f9e03-ceac-4d79-8d6a-e051906a40c8 · outbound

This paper cites Poles At Infinity in On-shell Diagrams.

Smooth Splitting and Zeros from On-Shell Recursion Poles At Infinity in On-shell Diagrams

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.668963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0da343d1-edbe-4180-a053-3d1552863717 · outbound

This paper cites Amplitudes at Infinity.

Smooth Splitting and Zeros from On-Shell Recursion Amplitudes at Infinity

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.673214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1ccb7a2-b835-4978-bd05-76f64886a4ea · outbound

This paper cites Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory.

Smooth Splitting and Zeros from On-Shell Recursion Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.677710Z

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Unavailable: canonical work link unavailable.

Observation ebb68640-7ae0-4a77-94c9-583149120697 · outbound

This paper cites All Loop Scattering As A Counting Problem.

Smooth Splitting and Zeros from On-Shell Recursion All Loop Scattering As A Counting Problem

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.681833Z

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Observation b8cad05f-093b-48fb-b6e5-b6284e03bee7 · outbound

This paper cites Tropical Amplitudes For Colored Lagrangians.

Smooth Splitting and Zeros from On-Shell Recursion Tropical Amplitudes For Colored Lagrangians

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.686390Z

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Observation 7ee4e641-941b-48ec-adbc-82bf4dee6a05 · outbound

This paper cites All Loop Scattering For All Multiplicity.

Smooth Splitting and Zeros from On-Shell Recursion All Loop Scattering For All Multiplicity

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.691387Z

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Observation 7255c968-171a-4def-8a44-777746198b05 · outbound

This paper cites Scalar-Scaffolded Gluons and the Combinatorial Origins of Yang-Mills Theory.

Smooth Splitting and Zeros from On-Shell Recursion Scalar-Scaffolded Gluons and the Combinatorial Origins of Yang-Mills Theory

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.695014Z

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Observation 8de1c3ea-9d32-4f4b-b853-e0f0d3975023 · outbound

This paper cites NLSM $\subset$ Tr$(\phi^3)$.

Smooth Splitting and Zeros from On-Shell Recursion NLSM $\subset$ Tr$(\phi^3)$

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.697993Z

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Unavailable: canonical work link unavailable.

Observation cc06eb21-51e9-4322-af72-ca66ec723d1e · outbound

This paper cites Circles and Triangles, the NLSM and Tr($\Phi^3$).

Smooth Splitting and Zeros from On-Shell Recursion Circles and Triangles, the NLSM and Tr($\Phi^3$)

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.701100Z

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Unavailable: canonical work link unavailable.

Observation 72df8fa2-3cb0-4390-aeac-86dfd1defd3a · outbound

This paper cites Causal Diamonds, Cluster Polytopes and Scattering Amplitudes.

Smooth Splitting and Zeros from On-Shell Recursion Causal Diamonds, Cluster Polytopes and Scattering Amplitudes

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.704939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa05f35a-0c29-489c-85ed-68071407d5ed · outbound

This paper cites Extensions of Theories from Soft Limits.

Smooth Splitting and Zeros from On-Shell Recursion Extensions of Theories from Soft Limits

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.709754Z

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Unavailable: canonical work link unavailable.

Observation 07e9cb6c-2359-4e33-886c-3e690f8228ef · outbound

This paper cites Large deformations of Tr($\Phi^3$) and the world at infinity.

Smooth Splitting and Zeros from On-Shell Recursion Large deformations of Tr($\Phi^3$) and the world at infinity

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:53:11.865746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0b72ef98-bb50-47bf-93d2-d361d856b0cc · outbound

This paper cites Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet.

Smooth Splitting and Zeros from On-Shell Recursion Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.717279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1534031-9656-4ff0-a8e9-da4d66d74b6b · outbound

This paper cites Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM.

Smooth Splitting and Zeros from On-Shell Recursion Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.721112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 699f6211-f7c7-44be-ab8b-4b2474ba4dfd · outbound

This paper cites Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory.

Smooth Splitting and Zeros from On-Shell Recursion Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr($\phi^3$) theory

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.725005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc248fc5-59a6-4255-a33b-b416258dc597 · outbound

This paper cites Scattering Amplitudes.

Smooth Splitting and Zeros from On-Shell Recursion Scattering Amplitudes

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.729502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21b467c1-b5c3-40f4-8104-ea17d6fda95a · outbound

This paper cites Recursion Relations for Gauge Theory Amplitudes with Massive Particles.

Smooth Splitting and Zeros from On-Shell Recursion Recursion Relations for Gauge Theory Amplitudes with Massive Particles

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.734077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7cd1a5f-061b-496d-ae92-90335966ae7a · outbound

This paper cites Hidden Zeros of the Cosmological Wavefunction.

Smooth Splitting and Zeros from On-Shell Recursion Hidden Zeros of the Cosmological Wavefunction

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.737627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00fbf5b4-2d22-4612-a5a2-4187905efba4 · outbound

This paper cites A Note on Polytopes for Scattering Amplitudes.

Smooth Splitting and Zeros from On-Shell Recursion A Note on Polytopes for Scattering Amplitudes

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.741788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 648f03ed-6614-4db4-88a5-c3217fba876d · outbound

This paper cites The Amplituhedron.

Smooth Splitting and Zeros from On-Shell Recursion The Amplituhedron

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-16T00:53:11.745867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 15c9c2fc-75ae-4c7e-8ba2-1ed4af6ff8a8 · inbound

Algebraic versus physical uniqueness of MHV gravity numerators cites this paper.

Algebraic versus physical uniqueness of MHV gravity numerators Smooth Splitting and Zeros from On-Shell Recursion

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:43:39.486622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.