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Paper Citation Record · LEDGER

Notes on the one-loop amplituhedron and its BCFW tiling

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:58.093255Z digest=sha256:26549d1b286a19599ac571ada5c6b395d1317f5f86bdcef5767d332c7b7865fb

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.

source=arxiv_source observed=2026-08-06T22:16:58.159206Z digest=sha256:874b18772e9dfa26ce83e7267278180dca9f3cc4154eaf60619289986081cf2e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:58.262951Z digest=sha256:6f330c24da64ccda750d21b907c5a905a423c15d687b883613ae8de59100fde9

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:58.348792Z digest=sha256:265ed1aa91b2caca734d87875b1bd0ff8f47d0abbdef3e9e7ddc3ea1a31197e3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:58.420442Z digest=sha256:59e684698fd1583691ba2834f57b3ab15af6060cb34dff1ace564d6c0cc13d65

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:58.505545Z digest=sha256:aa2c827d43a6d2c44b3bc1351f592927fdfd17e346322af15047876854f9db3a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:58.604367Z digest=sha256:ec65dc5fe3bc3ca3bef800339b8162bf8fbd0394f858448f93cf3fef99769ebe

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:58.702189Z digest=sha256:9cfbba1468109624e37bb4dbb50ab4dfcfacf9f2adad30f6eb0c70e46229ceb0

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.

source=arxiv_source observed=2026-08-06T22:16:58.788442Z digest=sha256:52e1b57e5e853ab56322cad85621225b7ebbc77db6490ba8a37bfc4c99d23b09

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:58.889866Z digest=sha256:6a20836c83128c1280f142b609a69eb36e9fb465e0e614ecc1aa0721b41354b1

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:59.003561Z digest=sha256:04234a59825a8be5fa9d22f0923fde4f346ea18954acc0952ab3ed2f8bf1e27e

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.

source=arxiv_source observed=2026-08-06T22:16:59.081290Z digest=sha256:4c79276d54922cc905e230ea229d0b81c7f0e5ef1f1016c4c026ac2adb58bd2e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:59.173591Z digest=sha256:2ff16c1bbbb618fe4200e908d86836ad943e82402916ca85dc202859ca995bd8

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:59.274257Z digest=sha256:428f97c81af9f11acaf8a136fb05cc26102d9893197c563469f222107dfed31f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:59.390670Z digest=sha256:a9e234770e0aaa06aacbd9b18366ce1a816dcf2d96ad696fa4355186315eaa08

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:59.490990Z digest=sha256:ed5001862b813eda34ab543653ce0794587c363059ed210146a73b103f907003

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:59.566974Z digest=sha256:ecde77df0e37d9c1dd2205846084e23a398fba171dd561dd37ac7ff58964c716

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:16:59.678678Z digest=sha256:1f2d9e328a7a01e38ccb9668c70e39f6edec845f275ea6d5cbbecf799b754999

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.

source=arxiv_source observed=2026-08-06T22:16:59.775837Z digest=sha256:4fa5c47f398fc5bb7f5ec785a297a22abd5e7915b58fd77bde4c482cb9ef2f95

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.

source=arxiv_source observed=2026-08-06T22:16:59.883296Z digest=sha256:840fb2e0d78cd2838c17efcb90aa9efb4c6f8e1fe69b071db416e5e9263ad064

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:17:00.022958Z digest=sha256:9620d6cea5e7537fe876515ff1d19bca1fad4d5f072cd0b04d55d100902db389

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.

source=arxiv_source observed=2026-08-06T22:17:00.143129Z digest=sha256:e794a88c2d2edc36b541a5bc64a9af50ea51f5940e4b7dc3377c802b1684bf06

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:17:00.250041Z digest=sha256:c8a12debb1354a510688d3118ab166e0e164b5bb50a1b863603311964d4e917d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:17:00.428464Z digest=sha256:9aa79d935cdda12a3a10d32b8a562d146f3e16dda5a8e4445c3d8f40ec7cff15

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T09:15:58.834308Z digest=sha256:9b8e8125852fb315ad60173dd73cd1ca22edfc7964fba7cf179785ea2280ed19