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Paper Citation Record · LEDGER

Binomiality of colored Gaussian models

As of 23 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2507.06437.

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

pith.paper-citation-record.v1
2507.06437 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:18:58.471788Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact2
  • verified fuzzy10
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 56db230c-bead-4879-b2f6-c7983a152fbd · outbound

This paper cites an unresolved cited work.

Binomiality of colored Gaussian models Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:19:01.370681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.091529Z digest=sha256:3293d18df657dd29758928a20f7cfd06a7a54d274476d6368b5b15e18cdea26b

Observation ca882d17-137c-4756-8f41-ecb397dae2ce · outbound

This paper cites an unresolved cited work.

Binomiality of colored Gaussian models Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:19:01.183624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.187015Z digest=sha256:3709d96227ea4032c13b507ccea9503654ca12c84cc8aa977ba16a1201ac9cdc

Observation 57b00714-5054-476a-8703-5d02e57366d3 · outbound

This paper cites an unresolved cited work.

Binomiality of colored Gaussian models Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:19:00.939384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.265021Z digest=sha256:c105b84fc00f365dc016adc59cd5d32dbb7d9a3c1aaf965aa260de1764c4bfa5

Observation 0d886fc6-ab49-46ba-a308-57fcf0b318ab · outbound

This paper cites Coons, Aida Maraj, Pratik Misra, and Miruna- S tefana Sorea.

Binomiality of colored Gaussian models Coons, Aida Maraj, Pratik Misra, and Miruna- S tefana Sorea

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:19:00.786759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.356764Z digest=sha256:c3efa0d324553700c9ad70cf6ac24d4a451264c712db83f5182c3ee85ba6e121

Observation caa8ee86-ff1f-41a7-934d-f471a42b31c8 · outbound

This paper cites Algebraic algorithms for sampling from conditional distributions.

Binomiality of colored Gaussian models Algebraic algorithms for sampling from conditional distributions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:19:00.631084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.438544Z digest=sha256:deea7694934a7dcf095617fcb7cec52947178fb5721638d88a9f6b3b62138bdc

Observation fa7e5357-2990-4577-aa70-d08efd25a06e · outbound

This paper cites Covariance Hypotheses Which are Linear in Both the Covariance and the Inverse Covariance.

Binomiality of colored Gaussian models Covariance Hypotheses Which are Linear in Both the Covariance and the Inverse Covariance

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:19:00.440359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.542580Z digest=sha256:464e48fdccf9f842861602e54ddda3bfc04028a263b786d5a281e520ba3f35a6

Observation 8b35c723-b2b6-43b9-ba18-91a7ceaac384 · outbound

This paper cites Proper jordan schemes exist.

Binomiality of colored Gaussian models Proper jordan schemes exist

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:19:00.315318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.612150Z digest=sha256:d49bb9da811bbd10fb5f24fd54ae9a2fa421ffa25cd107a669e020db3758580a

Observation c29a5ffc-ff99-44ec-af32-fe9e20aa4660 · outbound

This paper cites Efficiently deciding if an ideal is toric after a linear coordinate change.

Binomiality of colored Gaussian models Efficiently deciding if an ideal is toric after a linear coordinate change

Reference 8

Resolution
verified exact
raw_fallback, observed 2026-08-06T19:18:59.072305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.715573Z digest=sha256:6b04cc6966c73c5f729af5886033d8df4853f440fbb94875290b8453005edf08

Observation 45dddcb4-18f0-4ce8-8964-cb7df11a5253 · outbound

This paper cites Constructive degree bounds for group-based models.

Binomiality of colored Gaussian models Constructive degree bounds for group-based models

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:19:00.132223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.791607Z digest=sha256:780b9f3c2ace300aaea88439367b8dc79ed068ccca23c527a7578026912827ea

Observation a9b80ba2-aac2-4118-957a-60c4f2501389 · outbound

This paper cites Symmetry lie algebras of varieties with applications to algebraic statistics.

Binomiality of colored Gaussian models Symmetry lie algebras of varieties with applications to algebraic statistics

Reference 10

Resolution
verified exact
raw_fallback, observed 2026-08-06T19:18:58.884528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.930061Z digest=sha256:6aa3a6ab7b56d198561b824d8bea187b4242656c4ca426d79a04bb3e3996da6e

Observation e355382e-1300-4674-9cca-fb586f14364a · outbound

This paper cites Gaussian graphical models with toric vanishing ideals.

Binomiality of colored Gaussian models Gaussian graphical models with toric vanishing ideals

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:18:59.914369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:57.993629Z digest=sha256:5d235d7d125e6a8feb3fbd629725bc446a07ded250acb71efc6e3d80017a7086

Observation d93560eb-8277-4273-9df6-eeb4a70a8caf · outbound

This paper cites The three-state toric homogeneous M arkov chain model has M arkov degree two.

Binomiality of colored Gaussian models The three-state toric homogeneous M arkov chain model has M arkov degree two

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:18:59.782504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:58.141220Z digest=sha256:d729e8da9ef5716b24dd11a9647a62c02e68982882dee5bba153b1d46a0888b1

Observation e04548f4-2d5b-454f-8873-f647940bddf1 · outbound

This paper cites Toric ideals of phylogenetic invariants.

Binomiality of colored Gaussian models Toric ideals of phylogenetic invariants

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:18:59.607046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:58.279424Z digest=sha256:0d5e63dda1b57a09499805aa4883960a36c45bc4157981a94ec3894114e728e7

Observation bce7ffeb-09b3-4671-a669-2c7bbdb6b95a · outbound

This paper cites Multivariate Gaussians , semidefinite matrix completion, and convex algebraic geometry.

Binomiality of colored Gaussian models Multivariate Gaussians , semidefinite matrix completion, and convex algebraic geometry

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:18:59.376989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:58.372598Z digest=sha256:00b41093a002e37caec8a198dd7812b46141efcafc2f0a2e826bc5e9cbe23aca

Observation 1186f908-1338-40a7-9fc4-83c6b8b2ec56 · outbound

This paper cites Determinants of weighted path matrices, 2012.

Binomiality of colored Gaussian models Determinants of weighted path matrices, 2012

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:18:59.216323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T19:18:58.471788Z digest=sha256:c13d094733ba91877217cd6008544b3a43f0c084d50882cc431ca5f83874d2e5

Pith citing papers

No inbound Pith citation observations are available.