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Paper Citation Record · LEDGER

Geometric Causal Models

As of 23 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 2026-08-23T06:30:58.430688+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

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:d2921622935d6c03ffab56f8993c3576ba477625c6ee5aa74d797e2cce0ff3c2

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:cca50922d151f3909626a4b19d30dbe98765a9ba48dbcaddd62e9b2d008a9fb8

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=sha256:97b4c2f63bcc06afdf09ac1f179a9e7a676ca5d4a8da86d7aad581db1c9f2ebb

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=sha256:394e2bbc70ca53c5e119f3698bcc22a504b58100b99615813054956a97bba9c3

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=sha256:0a324b8b973adf2dbd0ec554c412884ec5147133f00624674346cf04869a4e91

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=sha256:8bda8613a2a9591bf19f7d9e2b448b23102154cdd22b00a16cdc986c6bdedec9

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:f4355bb73064fc4b69ee63898d425f973b2a25d3014fc23a1f98c31db287ca8d

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=sha256:0afcf1369693369c80824afa77cbeac945d881ea03215cd4aae5132b258c5df8

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=sha256:9617459b88895e593dfed3f9ffef120dc13ffbf8315efc09e7c75e88826fd651

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:f05c14c29c02c1f593af0593403d61e8a44716f1ea5fb2238282db68141364f8

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:d0caa41b08d1bfd3f4c008c7af3e4d34494334bc72b4ee906fb16ad9d144d873

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=sha256:4bf470c5f0833bac5d31a20030e1aa2e2c46aa218c9555d52a93429c7bad13f7

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=sha256:4bda656f724d932e99e2fff10970234689aecad7b654af8ee38872c3a9a2efa6

Pith citing papers

No inbound Pith citation observations are available.