Paper Citation Record · LEDGER

Notes on the one-loop amplituhedron and its BCFW tiling

As of 21 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2506.22238.

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

pith.paper-citation-record.v1
2506.22238 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:17:00.428464Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T09:15:58.834308Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T04:16:36.004644Z

Reference resolution

24 of 24 outbound references displayed

verified exact3
verified fuzzy15
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ae07141d-edc5-4f76-8525-d36d6885dddf · outbound

This paper cites The amplituhedron.

Notes on the one-loop amplituhedron and its BCFW tiling The amplituhedron

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:03.881236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4414fb2b-7c42-47b0-877c-e8a24139ab3f · outbound

This paper cites The Tropical Amplituhedron.

Notes on the one-loop amplituhedron and its BCFW tiling The Tropical Amplituhedron

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T22:16:58.159206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d35315ba-8247-4e58-b70a-dcff73331efe · outbound

This paper cites Direct proof of the tree-level scattering amplitude recursion relation in Y ang- M ills theory.

Notes on the one-loop amplituhedron and its BCFW tiling Direct proof of the tree-level scattering amplitude recursion relation in Y ang- M ills theory

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:03.698351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 15c2eb42-b5c1-453a-9bc0-5052da8ce804 · outbound

This paper cites The Amplituhedron from Momentum Twistor Diagrams.

Notes on the one-loop amplituhedron and its BCFW tiling The Amplituhedron from Momentum Twistor Diagrams

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:03.549747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a78538b1-5efb-4ae7-afab-48a79f583923 · outbound

This paper cites The m=2 amplituhedron.

Notes on the one-loop amplituhedron and its BCFW tiling The m=2 amplituhedron

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:17:01.359400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5437d715-1095-4d5a-9127-0a9a5276dfda · outbound

This paper cites The amplituhedron and the one-loop grassmannian measure.

Notes on the one-loop amplituhedron and its BCFW tiling The amplituhedron and the one-loop grassmannian measure

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:03.438342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 857fde17-ec00-4af6-b33a-3df1a2267d43 · outbound

This paper cites On two notions of total positivity for partial flag varieties.

Notes on the one-loop amplituhedron and its BCFW tiling On two notions of total positivity for partial flag varieties

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:03.300021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4a06e10a-149b-44ff-b3ee-a330bf00d3b3 · outbound

This paper cites Lectures on algebraic topology , volume 200.

Notes on the one-loop amplituhedron and its BCFW tiling Lectures on algebraic topology , volume 200

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:03.137204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b7a19746-1622-444e-a6e6-dafc3071e7b6 · outbound

This paper cites Cluster algebras and tilings for the m=4 amplituhedron.

Notes on the one-loop amplituhedron and its BCFW tiling Cluster algebras and tilings for the m=4 amplituhedron

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T22:16:58.788442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 458c1d8b-9e72-49d8-8311-4a63f61989d8 · outbound

This paper cites The amplituhedron BCFW triangulation.

Notes on the one-loop amplituhedron and its BCFW tiling The amplituhedron BCFW triangulation

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:02.985544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b9b296b8-4feb-4269-a37b-26b6ec8b7409 · outbound

This paper cites Young tableaux, with applications to representation theory and geometry.

Notes on the one-loop amplituhedron and its BCFW tiling Young tableaux, with applications to representation theory and geometry

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:02.837967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 19a4af73-56f0-460b-aad2-23984ad7dc05 · outbound

This paper cites Amplituhedra and origami, I: tree level.

Notes on the one-loop amplituhedron and its BCFW tiling Amplituhedra and origami, I: tree level

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T22:16:59.081290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb9fb829-fc5a-4a6e-9849-df2734503549 · outbound

This paper cites Differential topology , volume 33.

Notes on the one-loop amplituhedron and its BCFW tiling Differential topology , volume 33

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:02.696710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ea32002f-33a8-4e60-8e81-6e4f8124dbc1 · outbound

This paper cites Complement of codim 2 manifold is connected? Mathematics Stack Exchange.

Notes on the one-loop amplituhedron and its BCFW tiling Complement of codim 2 manifold is connected? Mathematics Stack Exchange

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-06T22:17:01.166940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cef7b6aa-8aad-4a5b-930e-164752933a16 · outbound

This paper cites A note on proper maps.

Notes on the one-loop amplituhedron and its BCFW tiling A note on proper maps

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:02.531040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 185e1843-4242-4f0f-9fe7-726b3f9278e1 · outbound

This paper cites Sign variation, the grassmannian, and total positivity.

Notes on the one-loop amplituhedron and its BCFW tiling Sign variation, the grassmannian, and total positivity

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:02.369986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 03231916-9232-4110-b55f-00ad6de3ad9e · outbound

This paper cites Karp and Lauren K.

Notes on the one-loop amplituhedron and its BCFW tiling Karp and Lauren K

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:02.232416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f843953e-6c0b-4ca3-a131-81896ed78e50 · outbound

This paper cites Decompositions of amplituhedra.

Notes on the one-loop amplituhedron and its BCFW tiling Decompositions of amplituhedra

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:02.069177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e8d1a46b-28bb-4d15-b689-8d17d89dad94 · outbound

This paper cites an unresolved cited work.

Notes on the one-loop amplituhedron and its BCFW tiling Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T22:16:59.775837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 989cae9a-275f-41ab-be1e-addad46fe5b2 · outbound

This paper cites Total positivity, Grassmannians, and networks.

Notes on the one-loop amplituhedron and its BCFW tiling Total positivity, Grassmannians, and networks

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T22:16:59.883296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0edf8de-9ba8-47c8-83b6-b11e5455a151 · outbound

This paper cites Williams.

Notes on the one-loop amplituhedron and its BCFW tiling Williams

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:01.782707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4bfe8091-b575-4b0b-9996-9f2dbb7db507 · outbound

This paper cites The BCFW tiling of the ABJM amplituhedron.

Notes on the one-loop amplituhedron and its BCFW tiling The BCFW tiling of the ABJM amplituhedron

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T22:17:00.143129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6473fbd7-eac7-490d-99ce-7e663ef50713 · outbound

This paper cites Complement of codim 2 manifold is connected? Mathematics Stack Exchange.

Notes on the one-loop amplituhedron and its BCFW tiling Complement of codim 2 manifold is connected? Mathematics Stack Exchange

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-06T22:17:00.790835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 622fe018-374d-4c01-903c-3950f6dd8e89 · outbound

This paper cites Cohomology of vector bundles and syzygies.

Notes on the one-loop amplituhedron and its BCFW tiling Cohomology of vector bundles and syzygies

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:17:01.568213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 1ccef0a1-9f1c-4be7-9675-115063052cc5 · inbound

Amplituhedra and origami, II: loop level cites this paper.

Amplituhedra and origami, II: loop level Notes on the one-loop amplituhedron and its BCFW tiling

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-02T04:16:36.006376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.