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Paper Citation Record · LEDGER

Geometric Causal Models

As of 7 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2607.05153.

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

pith.paper-citation-record.v1
2607.05153 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T16:17:17.100773Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e0b35421-8e57-40c2-860b-7f0359de447f · outbound

This paper cites Austern and P.

Geometric Causal Models Austern and P

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:cb55b5443d24ba035568ca60930db041660699669d041f8ae1e03fd8e69ab8b6

Observation 8c79f42b-ec4f-404f-85a6-f2d3dad97782 · outbound

This paper cites Kallenberg.Probabilistic symmetries and invariance principles.

Geometric Causal Models Kallenberg.Probabilistic symmetries and invariance principles

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:eecf043697af7690d4318081c56d30174c3d87cab11dfe1fdd4557fcfe8dac30

Observation c4da73c3-c639-42c5-b891-5c1cec56b54a · outbound

This paper cites an unresolved cited work.

Geometric Causal Models Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:c1406ee9c2886fab121d94a697456783e2598bc64e1d3f57f2c594a91ca3bde0

Observation 7e26c5bb-09b2-4dd5-b31c-62525632e637 · outbound

This paper cites Papadogeorgou, K.

Geometric Causal Models Papadogeorgou, K

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:c2ca48032aefd236ad4f41d0d1cf21ccde53fd9c0b323f122eff165d224124d0

Observation f2f7d5df-eac0-4cc7-b419-84bd52695582 · outbound

This paper cites an unresolved cited work.

Geometric Causal Models Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:abb0888277bd569755421d65b26b59bbc81be9cf1f488e00e8a2c3bfae860e01

Observation 06c3d904-c025-49bd-8da2-f4f99ab567a8 · outbound

This paper cites Sanabria, J.

Geometric Causal Models Sanabria, J

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:e595d7604cfd42362bb737196cff20e63444716f6862ffb05c3263e4346d06cb

Observation f11a673f-6109-4f89-9583-40cfbf5f380a · outbound

This paper cites In particular, consider a causal variableywith a single childz, ϵy ∼p(ϵ y)y= f y(xpa(v),ϵ y),(58) ϵz ∼p(ϵ z)z= f z(y,ϵ z)(59) We can marginalize outyand still obtain a valid GSCM.

Geometric Causal Models In particular, consider a causal variableywith a single childz, ϵy ∼p(ϵ y)y= f y(xpa(v),ϵ y),(58) ϵz ∼p(ϵ z)z= f z(y,ϵ z)(59) We can marginalize outyand still obtain a valid GSCM

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:4ce9c3bc6d78316ad11ebf60635efdc9f676d6448e8f93c6194ce1d694bfa9ab

Observation 675d6f71-a40d-46d8-a24f-c3c599e30e9c · outbound

This paper cites 1 of [Ayach et al., 2025] says that this impliesPr(ϵ∈B)∈ {0,1}.

Geometric Causal Models 1 of [Ayach et al., 2025] says that this impliesPr(ϵ∈B)∈ {0,1}

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:acaa6baaf7db66e932eb07f0a6208156fca9c1c40b9a5eb6dbf4304b094d1b25

Observation ed64c41f-1c12-4540-a01d-2cda07906546 · outbound

This paper cites 5 of [Shpitser and Pearl, 2006].

Geometric Causal Models 5 of [Shpitser and Pearl, 2006]

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:c41920a4f1553adeca36c7217d7cb1752a672ecdda56be9ee7a528fc43c54f4f

Observation 52f597bc-fc9d-4446-8be3-7d4ff6ae9401 · outbound

This paper cites So,gis linear.

Geometric Causal Models So,gis linear

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:ed9df9862a270b40d07e44fa203dffd44de4051817fcb999d5bc0d621613bff4

Observation e86da8ad-db5f-4332-b1e8-b73178a52f61 · outbound

This paper cites Hencem za(σz)2 >0.

Geometric Causal Models Hencem za(σz)2 >0

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:95f030ad68220c3925082a5cbf38eeca9e0c8b81f556498a8516a8ead462548c

Observation 8bd93c72-0a8d-4044-ad5f-f3e3d7fcc3fb · outbound

This paper cites From Proposition 2,p(xVobs)must be ergodic.

Geometric Causal Models From Proposition 2,p(xVobs)must be ergodic

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:117e035c3b0a3edbe96778df026859f9ee8ed962e249e7223385fac1948c4a36

Observation 05c85457-fa8f-4e68-b1d9-10e8f6da1eb9 · outbound

This paper cites 42 F Genomic Application Each neural network model consists of a linear convolution, a softplus nonlinearity, and a linear layer.

Geometric Causal Models 42 F Genomic Application Each neural network model consists of a linear convolution, a softplus nonlinearity, and a linear layer

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-14T16:17:17.100773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:17:17.100773Z digest=sha256:6684ef3d6c6cad006072f7efae131b9b36ca4063249a3f49c87120636940d44f

Pith citing papers

No inbound Pith citation observations are available.