Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:06:07.649933Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2412.21189.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:06:07.649933Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T19:19:34.469748Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T11:56:30.349797Z
49 of 49 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c8c45833-b44b-4b11-a707-3c934141638c · outbound
The Many Colours of Amplitudes Consistency Conditions on the S-Matrix of Massless Particles
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9148bdbe-9483-44bc-9f98-d8b14b6377cb · outbound
The Many Colours of Amplitudes The Color Structure of Gluon Emission,
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a24510f5-2663-4c95-85a7-e060690d531d · outbound
The Many Colours of Amplitudes Multi-Parton Amplitudes in Gauge Theories
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89aa5361-bdc0-430c-a23b-18b16bbe473c · outbound
The Many Colours of Amplitudes Cvitanovi´ c,Group Theory
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c994e2fd-9b6a-4642-81c2-44ac28b1c878 · outbound
The Many Colours of Amplitudes New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e663613-3ba8-4a02-a0e3-a66e972e2fae · outbound
The Many Colours of Amplitudes A brief introduction to modern amplitude methods
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65a90d7e-5aba-4f1b-aaec-f207f13abeaf · outbound
The Many Colours of Amplitudes Proof of a new colour decomposition for QCD amplitudes
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a7308af-468f-428e-ae0b-ad76a6145b20 · outbound
The Many Colours of Amplitudes Color-Kinematics Duality for QCD Amplitudes
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 68ec9ac6-5492-4fc3-857e-aa1fcb7d463a · outbound
The Many Colours of Amplitudes Multi-Quark Colour Decompositions from Unitarity
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35a9b40c-8df2-4b87-a1c3-1b551f5f4c6e · outbound
The Many Colours of Amplitudes New Relations for Gauge-Theory Amplitudes
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f2c35c2-f779-418c-8d9b-be19c03dc048 · outbound
The Many Colours of Amplitudes Perturbative Quantum Gravity as a Double Copy of Gauge Theory
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5017b2a0-ced6-4f1b-8fb7-8c52e8d602da · outbound
The Many Colours of Amplitudes The Duality Between Color and Kinematics and its Applications
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9afbe6e8-d882-440f-8775-21c64cc94740 · outbound
The Many Colours of Amplitudes Snowmass White Paper: the Double Copy and its Applications
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09446531-0faa-44b2-b888-3de361729fef · outbound
The Many Colours of Amplitudes Supergravity amplitudes, the double copy and ultraviolet behavior
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11707911-bcb1-4f5a-9814-616537e88d98 · outbound
The Many Colours of Amplitudes Gauge-Invariant Double-Copies via Recursion
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6199a266-2771-4b7e-8c5e-c3c8f8fb669a · outbound
The Many Colours of Amplitudes Computational Tools for Trees in Gauge Theory and Gravity
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e69e197-ce1b-44c2-97b4-d321300767b6 · outbound
The Many Colours of Amplitudes Color-factor symmetry of the amplitudes of Yang-Mills and biadjoint scalar theory using perturbiner methods
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84fa7f2d-ca48-4a45-a3a5-662431cc328d · outbound
The Many Colours of Amplitudes Group Theory for Unified Model Building,
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18f16d8b-17d9-48df-b094-d85db591167e · outbound
The Many Colours of Amplitudes Fulton and J
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 14e040be-fb99-4968-9e69-10e1ff973274 · outbound
The Many Colours of Amplitudes Di Francesco, P
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c21c5db8-5399-42a7-b9b5-485b79ac9e71 · outbound
The Many Colours of Amplitudes Die Zusammensetzung der Stetigen Endlichen Transformationsgruppen,
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52c090b5-ffea-4595-ac2c-049f52bf3688 · outbound
The Many Colours of Amplitudes Sur la Structure des Groupes Infinis de Transformation,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2dda3a4f-3a12-4444-905f-5cf5e393902a · outbound
The Many Colours of Amplitudes Sur la Structure des Groupes Infinis de Transformation (suite),
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b2424b49-a97b-4078-8c15-8c6dc3939dcd · outbound
The Many Colours of Amplitudes Zur Quantenmechanik des Magnetischen Elektrons,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9bbcc130-7c9c-403b-b800-c26080604362 · outbound
The Many Colours of Amplitudes Entry A005043 in The On-Line Encyclopedia of Integer Sequences
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7a6d1a34-223f-40ae-8fea-31635c0ab8a8 · outbound
The Many Colours of Amplitudes New Color Decompositions for Gauge Amplitudes at Tree and Loop Level,
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2a8c14b1-c6f9-45ef-ad6b-f8f3e68a8bb0 · outbound
The Many Colours of Amplitudes Entry A000166 in The On-Line Encyclopedia of Integer Sequences
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 227f11c4-e48d-4e31-90f9-72229da58357 · outbound
The Many Colours of Amplitudes A Planar Diagram Theory for Strong Interactions,
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5d70de9-36b6-478f-b9b9-9f28959c96a3 · outbound
The Many Colours of Amplitudes Entry A002137 in The On-Line Encyclopedia of Integer Sequences
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e5dac418-54cb-4d1e-8353-adabbff14784 · outbound
The Many Colours of Amplitudes Stein et al
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a7425c0e-0656-4aad-aaca-bdd04f46cd14 · outbound
The Many Colours of Amplitudes The Magma Algebra System. I. The User Language,
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 57c2a277-5c7a-43db-887c-a986b53af51b · outbound
The Many Colours of Amplitudes LieART 2.0 -- A Mathematica Application for Lie Algebras and Representation Theory
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97cbf1e2-2e49-44a7-81f5-3ccc2e8473d5 · outbound
The Many Colours of Amplitudes The On-Line Encyclopedia of Integer Sequences,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3f2a118d-bc23-4e00-bf9c-76303c056ed6 · outbound
The Many Colours of Amplitudes Entry A179684 in The On-Line Encyclopedia of Integer Sequences
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3e2d9371-d6e9-4239-9e03-a475a4b4fa28 · outbound
The Many Colours of Amplitudes Entry A179683 in The On-Line Encyclopedia of Integer Sequences
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3930ae25-f12b-445c-8751-91058bcff468 · outbound
The Many Colours of Amplitudes Entry A179663 in The On-Line Encyclopedia of Integer Sequences
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 22f7776d-4ddd-4dba-a019-277ede03a862 · outbound
The Many Colours of Amplitudes Entry A179685 in The On-Line Encyclopedia of Integer Sequences
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e4eb00d8-2390-484c-84c1-b61d2e9bd630 · outbound
The Many Colours of Amplitudes Entry A227292 in The On-Line Encyclopedia of Integer Sequences
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e1392551-e8c6-4e52-8739-cbc1709008d9 · outbound
The Many Colours of Amplitudes Entry A000108 in The On-Line Encyclopedia of Integer Sequences
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2acf2392-7232-40da-9d2e-3f8caca6da50 · outbound
The Many Colours of Amplitudes Entry A001006 in The On-Line Encyclopedia of Integer Sequences
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 27a38492-8c5a-430d-bbab-3b8d8661f4b8 · outbound
The Many Colours of Amplitudes Polchinski, Spinors and SUSY in Various Dimensions , pp
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5d8ab467-8531-4df7-b60a-783b86ca9d59 · outbound
The Many Colours of Amplitudes Bases for Color Structures
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 68903d8b-dc4b-4e51-8c7d-cd386c7b2c93 · outbound
The Many Colours of Amplitudes A General Clebsch-Gordan Theorem,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0527134c-9423-425b-92c6-ee4f52302d97 · outbound
The Many Colours of Amplitudes Lectures on Lie Groups,
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8b927ba1-f648-4b54-b8f1-cd6694a6c340 · outbound
The Many Colours of Amplitudes Theory of Compact Lie Groups and Some Applications to Elementary Particle Physics,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4d8785ae-a183-4ded-90f6-e6616b32edb6 · outbound
The Many Colours of Amplitudes Estimation Asymptotique des Multiplicit´ es dans les Puissances Tensorielles d’un g-Module,
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2559930f-7597-4c85-9abe-318f0746060f · outbound
The Many Colours of Amplitudes Lattice Path Combinatorics and Asymptotics of Multiplicities of Weights in Tensor Powers,
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7aa542ba-7a34-49ae-8cbe-e662ed2fb487 · outbound
The Many Colours of Amplitudes Freudenthal and H
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cb2d62ac-56a9-4968-ac83-ef3425a4b472 · outbound
The Many Colours of Amplitudes Proof that P n 2 −1 i=0 n i+1 n−i−1 i < P n 2 −1 i=0 n i n−i i
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b8a3eb01-e6dd-448f-aa27-4c93eaaabccc · inbound
Curve integral formula for the M\"obius strip The Many Colours of Amplitudes
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 31c98244-77b7-49ca-af11-2f13f92f22af · inbound
Tree Amplitudes with Charged Matter in Pure Gauge Theory The Many Colours of Amplitudes
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.