Pith. sign in

Paper Citation Record · LEDGER

The positive orthogonal Grassmannian

As of 14 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2412.14091.

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

pith.paper-citation-record.v1
2412.14091 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:40:55.587846Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T03:48:03.449373Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1282e67b-51ad-4c7f-a055-f4e682df1432 · outbound

This paper cites an unresolved cited work.

The positive orthogonal Grassmannian Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:40:55.833871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.517264Z digest=sha256:fc93c426349b09d071f7c94475e29b84f010831781f622e73b89c8a887db5468

Observation 425d3af6-e8d0-461e-adde-3877cb5d0f0e · outbound

This paper cites Positive geometries and canonical forms.

The positive orthogonal Grassmannian Positive geometries and canonical forms

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.823468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.522531Z digest=sha256:8f15d4ce30022464d7bbffeb46b901fff28a3eb2ced5c8ecff1d4208bbf05cb9

Observation 4ab43663-03ad-4a30-b452-43852f7bb32f · outbound

This paper cites Grassmannian geometry of scattering amplitudes.

The positive orthogonal Grassmannian Grassmannian geometry of scattering amplitudes

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.812801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.526732Z digest=sha256:b1f4f64a217f9d4ad4236f6b00a69c5c4694bce63262ec9975a6752038a8cb0e

Observation 46cbeebd-98f2-4f31-b166-c7057df6b8b2 · outbound

This paper cites The amplituhedron.

The positive orthogonal Grassmannian The amplituhedron

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.802622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.530497Z digest=sha256:72273b8a33811c51a6ca5967a7798dc648833b6594d9f7fab3df3432dff8290f

Observation 09b8ef5c-6159-4893-b8f5-5d3de90a5e28 · outbound

This paper cites On two notions of total positivity for generalized partial flag varieties of classical Lie types.

The positive orthogonal Grassmannian On two notions of total positivity for generalized partial flag varieties of classical Lie types

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T12:40:55.534669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:40:55.534669Z digest=sha256:938cb9587574b1990642751ad46ce891d209687e0a661a5c7a608de05055d5be

Observation 05873379-3c3d-4256-b6d4-3b83840acdcf · outbound

This paper cites Cluster structures on spinor helicity and momen- tum twistor varieties.

The positive orthogonal Grassmannian Cluster structures on spinor helicity and momen- tum twistor varieties

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.791266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.539185Z digest=sha256:a34ef35f23de1baadc402243e67811a138e86cf30ab99149639df9cab3c6a122

Observation a901b782-377a-4f64-91d6-5beaca8155d3 · outbound

This paper cites The algebraic theory of spinors and Clifford algebras.

The positive orthogonal Grassmannian The algebraic theory of spinors and Clifford algebras

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.779784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.543140Z digest=sha256:c2cb3c157852ad4fe3492d095c9caa8e1bf52fd4c7aecfb5341e14a1761d7c70

Observation 750747c6-0bfd-44a1-be81-8b682f760847 · outbound

This paper cites Spinor-Helicity Varieties.

The positive orthogonal Grassmannian Spinor-Helicity Varieties

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T12:40:55.547609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:40:55.547609Z digest=sha256:cb6ad2425b9d8a2ee223a5838dd00588e5fa3ea406d9b40a5f36ae62137769cc

Observation 1008fb92-efc3-4b74-9b54-6cf42a9d49dc · outbound

This paper cites N., AND LAM, T.

The positive orthogonal Grassmannian N., AND LAM, T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.768910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.551352Z digest=sha256:9824c68dac75799896dfea0d885bda5167211c771b1ed02a5de2f1fabe580447

Observation 81340262-b053-4364-9158-054abd2a7190 · outbound

This paper cites Ising model and the positive orthogonal Grassmannian.

The positive orthogonal Grassmannian Ising model and the positive orthogonal Grassmannian

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.759372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.554842Z digest=sha256:85e389a1f37c5768631f2ee1ad52fe60b5e5cdd277822b46a87a1c007a1942f9

Observation b40ee5d1-3507-4247-95f5-bf9e7a4e238e · outbound

This paper cites Com- binatorial geometries, convex polyhedra, and schubert cells.

The positive orthogonal Grassmannian Com- binatorial geometries, convex polyhedra, and schubert cells

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.748998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.557672Z digest=sha256:5656cac81279eaca4a63741cab7244081af6488b8bbdc9eca025bc947716fbaa

Observation 1ad89f64-bbb7-44ad-8620-bb74ca4b4d55 · outbound

This paper cites Principles of algebraic geometry.

The positive orthogonal Grassmannian Principles of algebraic geometry

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.736932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.560916Z digest=sha256:3fbd9454a66e27269cd3ae4149b126a0429688874819a3d44f9afd0286c82d89

Observation dccad582-b0c9-4432-ba3e-2dc7a0f45b7b · outbound

This paper cites The positive orthogonal Grassmannian and loop amplitudes of ABJM.

The positive orthogonal Grassmannian The positive orthogonal Grassmannian and loop amplitudes of ABJM

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.726051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.564528Z digest=sha256:b127c5a3e976b5cfc1083f20f3f1ce2eff74afc5a05e09624dd05b0448eb00af

Observation b6a271a7-89c8-4353-ae1f-880d7d379f90 · outbound

This paper cites Kp solitons and total positivity for the grass- mannian.

The positive orthogonal Grassmannian Kp solitons and total positivity for the grass- mannian

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.715089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.567818Z digest=sha256:463daa82779737330a327268269feb80ae527e9d487348bb3d8800c579e85ce4

Observation 2af2e675-a349-4fdc-b83f-58dea8653abc · outbound

This paper cites On spinor varieties and their secants.

The positive orthogonal Grassmannian On spinor varieties and their secants

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.703220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.570739Z digest=sha256:bd7fcb1820bcda5fbda475fe969ea18e792275a530e1451d5cc78f19e57935a1

Observation d6d38af6-9d27-4dcc-b12b-23cdecc0b06e · outbound

This paper cites Total positivity, grassmannians, and networks.

The positive orthogonal Grassmannian Total positivity, grassmannians, and networks

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.690773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.574173Z digest=sha256:9806ff28c6295a0df0af190ad09c29708170dc65e96c77be898d14576bf5da97

Observation 63b85cc9-6d38-43d8-926b-c28a58ab7cd9 · outbound

This paper cites Positive Grassmannian and polyhedral subdivisions.

The positive orthogonal Grassmannian Positive Grassmannian and polyhedral subdivisions

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.675973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.576887Z digest=sha256:489ddebacd2276ed48007158d485ec0e3d8480749094a809949ab9c511dbadea

Observation d1bb9264-9d51-4010-8462-32eb8c3504a2 · outbound

This paper cites an unresolved cited work.

The positive orthogonal Grassmannian Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:40:55.663114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.580663Z digest=sha256:95ee0da291b07f0f3074ff812b01ee75696f5f7c8d968778c0b5476e1f461010

Observation 09a53dd7-7b28-4ee3-b9d3-b93d351867c9 · outbound

This paper cites an unresolved cited work.

The positive orthogonal Grassmannian Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:40:55.650529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.584150Z digest=sha256:a38a9e9c06722c8316c4d172913ecdc5c5b560188aa2144b11557a910aa7da70

Observation 3fbd355c-ffd2-410e-b737-dddd7fdefb5b · outbound

This paper cites EMS Press, Berlin, 2023, pp.

The positive orthogonal Grassmannian EMS Press, Berlin, 2023, pp

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:55.638329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:40:55.587846Z digest=sha256:14969110fba8008b110e05319574409899b8e9b245493a335f8ea7c8fdd4461d

Pith citing papers

Observation 5e4af78a-04d9-463c-bfca-178393b22c50 · inbound

The Cosmological Grassmannian cites this paper.

The Cosmological Grassmannian The positive orthogonal Grassmannian

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-03T03:48:03.449373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T03:48:03.449373Z digest=sha256:7120e983e70289385707caba1a0fcf4c724650b20c2536496aba4c8fa79526cc