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Paper Citation Record · LEDGER

Algebraic Constraints for Linear Acyclic Causal Models

As of 23 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2505.00215.

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

pith.paper-citation-record.v1
2505.00215 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:00:32.503819Z

measured 19 of 19 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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 540f9f1b-b610-4acb-b61b-0a643647958e · outbound

This paper cites Third-order moment varieties of linear non-Gaussian graphical models.

Algebraic Constraints for Linear Acyclic Causal Models Third-order moment varieties of linear non-Gaussian graphical models

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:33.089294Z

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=2026-08-16T05:00:32.345456Z digest=sha256:30faa77173dc40ed863fa7205b7602dcf41dcbfeff229063b4fd81753e37cde2

Observation e7d839c7-3981-42c2-8e02-9f8e39aa2251 · outbound

This paper cites Real birational implicitization for statistical models, 2024.

Algebraic Constraints for Linear Acyclic Causal Models Real birational implicitization for statistical models, 2024

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:33.063147Z

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=2026-08-16T05:00:32.355926Z digest=sha256:ac6b4225608fa001cb866e4a48d6b02f814037982436bbd459d88201fd66edd8

Observation e96350c9-882f-466d-a916-ae4d2ddc6bd3 · outbound

This paper cites Symmetric tensors and symmetric tensor rank.

Algebraic Constraints for Linear Acyclic Causal Models Symmetric tensors and symmetric tensor rank

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:33.036784Z

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=2026-08-16T05:00:32.363946Z digest=sha256:5c1e77a9fbc6ddd65d65c5f28e22837a7920591d6693048dcd043b736ce2596e

Observation 51242d15-7e5b-4393-b2d5-4fa8d833b4fa · outbound

This paper cites an unresolved cited work.

Algebraic Constraints for Linear Acyclic Causal Models Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:00:33.007598Z

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=2026-08-16T05:00:32.370925Z digest=sha256:b9fdb059fcaca9b514b985759f3decb397b4096e6a4de2b883b19802f623db3a

Observation 956799af-62a8-4e69-8fe2-a3aebe02c4a4 · outbound

This paper cites Structure learning in graphical modeling.

Algebraic Constraints for Linear Acyclic Causal Models Structure learning in graphical modeling

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.973758Z

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=2026-08-16T05:00:32.380175Z digest=sha256:a59d71fbcfb3d612b831660cc5fcfb860e3a420e353095de85d3f39b028d1ed2

Observation 64ddf675-d069-40b7-8eb6-1539c8a30234 · outbound

This paper cites Nested covariance determinants and restricted trek separation in gaussian graphical models.

Algebraic Constraints for Linear Acyclic Causal Models Nested covariance determinants and restricted trek separation in gaussian graphical models

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.951682Z

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=2026-08-16T05:00:32.400917Z digest=sha256:83b90d8fc48c165d70def5204e75b6a7373c3f58759af29a9fa7f6626e2ced0e

Observation 122a4877-9564-4155-84b4-f2736e9149f2 · outbound

This paper cites Positivity for gaussian graphical models.

Algebraic Constraints for Linear Acyclic Causal Models Positivity for gaussian graphical models

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.914375Z

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=2026-08-16T05:00:32.412754Z digest=sha256:9118f64644f43df50bb83d9736f3e5872d640442827c311eb0a99d9424df58af

Observation 6a8cc509-762a-4095-949f-f3bfb8d5ed49 · outbound

This paper cites Kolda and B.

Algebraic Constraints for Linear Acyclic Causal Models Kolda and B

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.888623Z

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=2026-08-16T05:00:32.421409Z digest=sha256:782e10e57cc7b865e804bb8174f4ebfb34646fa96590a7ace226b8cfd91ed725

Observation 98fb0c11-818f-4c13-97b0-086182af078e · outbound

This paper cites Handbook of graphical models.

Algebraic Constraints for Linear Acyclic Causal Models Handbook of graphical models

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.867567Z

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=2026-08-16T05:00:32.426085Z digest=sha256:f88157389057a60352b98210cb995fde8abc16f4768ca1e278e0ae02af11e421

Observation 82fdc6bf-d2f4-4a2b-9cc2-1c5c91786c21 · outbound

This paper cites Multi-trek separation in linear structural equation models.

Algebraic Constraints for Linear Acyclic Causal Models Multi-trek separation in linear structural equation models

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.844416Z

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=2026-08-16T05:00:32.430829Z digest=sha256:ad17a0e65061b206d8afe9110332997c6c352ef5b025a945f1ae7022e87a0d74

Observation 37ba48c9-bbfb-4767-a828-c759b5fb2bb1 · outbound

This paper cites Goodness-of-fit tests for linear non-gaussian structural equation models, 2023.

Algebraic Constraints for Linear Acyclic Causal Models Goodness-of-fit tests for linear non-gaussian structural equation models, 2023

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.811061Z

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=2026-08-16T05:00:32.435333Z digest=sha256:d32e5098dd38337a705aa94056bb32b16a0e9aba9c93635968f0b8f41a88e043

Observation 38d0e82b-53d4-4118-a037-22956c948b4a · outbound

This paper cites arinen, and Antti.

Algebraic Constraints for Linear Acyclic Causal Models arinen, and Antti

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.783499Z

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=2026-08-16T05:00:32.452788Z digest=sha256:bdf22e6fa081194bda28a90426fd3a13d631193408139024410b775c955fd400

Observation ea7569f9-117c-4d8e-8f25-47db32242c60 · outbound

This paper cites Causal Discovery of Linear Non-Gaussian Causal Models with Unobserved Confounding.

Algebraic Constraints for Linear Acyclic Causal Models Causal Discovery of Linear Non-Gaussian Causal Models with Unobserved Confounding

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-16T05:00:32.458190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T05:00:32.458190Z digest=sha256:d6ab119a6e7098f002a4880e2539f637be3f37152beb52e7d40bb603050cb126

Observation 37c2596e-b2fa-4c22-9b67-f046b0484f8a · outbound

This paper cites Trek separation for gaussian graphical models.

Algebraic Constraints for Linear Acyclic Causal Models Trek separation for gaussian graphical models

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.757250Z

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=2026-08-16T05:00:32.463538Z digest=sha256:3045e18c94c4ee0aaf4a7364da1bd31353aa3acfe405136f60eaaa0d393199ea

Observation f6c69d83-8a43-481f-b344-3a0a7110b8cc · outbound

This paper cites Algebraic geometry of gaussian bayesian networks.

Algebraic Constraints for Linear Acyclic Causal Models Algebraic geometry of gaussian bayesian networks

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.713632Z

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=2026-08-16T05:00:32.469353Z digest=sha256:4d199a52901876da065b388433dbd9f8fcc2ecb52f18d3ff96eb3284d99d35f6

Observation f2c41e83-a39b-4221-8a18-f660d16a1303 · outbound

This paper cites Algebraic Statistics , volume 194 of Graduate Studies in Mathematics.

Algebraic Constraints for Linear Acyclic Causal Models Algebraic Statistics , volume 194 of Graduate Studies in Mathematics

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.684105Z

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=2026-08-16T05:00:32.475530Z digest=sha256:12fdef1dd703f0ae657340e2db6e84bc147510c7ba2c93169f39ff6fd4b05342

Observation 017eb669-41d9-40b1-a556-d6129b2bb44e · outbound

This paper cites an unresolved cited work.

Algebraic Constraints for Linear Acyclic Causal Models Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:00:32.659251Z

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=2026-08-16T05:00:32.483896Z digest=sha256:b48f1c1946098c8d8ff73b5a8ed5700fd7c04ac5bfbf5de1e85020d2bfa431fc

Observation e02fbbe7-b67b-43f7-a1f5-64005f896714 · outbound

This paper cites High-dimensional causal discovery under non-Gaussianity.

Algebraic Constraints for Linear Acyclic Causal Models High-dimensional causal discovery under non-Gaussianity

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.633444Z

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=2026-08-16T05:00:32.493952Z digest=sha256:14d0f5fea465fc8bb47cd4850b0be757c11896151f064c78fadfc487b000b548

Observation b20a4311-5215-4ab2-a6c5-8546df940256 · outbound

This paper cites Samuel Wang and Mathias Drton.

Algebraic Constraints for Linear Acyclic Causal Models Samuel Wang and Mathias Drton

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:00:32.604479Z

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=2026-08-16T05:00:32.503819Z digest=sha256:0b886aa03f4e05c53ece578afe3eac2611f704c76e74bd0799656ced07193f98

Pith citing papers

No inbound Pith citation observations are available.