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Paper Citation Record · LEDGER

Identifiability in Causal Abstractions: A Hierarchy of Criteria

As of 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2507.06213.

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

pith.paper-citation-record.v1
2507.06213 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:22:29.771435Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

18 of 18 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87e1026e-8545-47af-ad03-4a98b252014e · outbound

This paper cites Anand, Adele H.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Anand, Adele H

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T19:22:28.285102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:22:28.285102Z digest=sha256:7457e65ceb571fc4a478337ce4a3947ccf511e87b4f234ef83b22fa6acbe0664

Observation ad80ee3f-f773-4070-acea-61d83b92382c · outbound

This paper cites Assaad, Emilie Devijver, and Eric Gaussier.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Assaad, Emilie Devijver, and Eric Gaussier

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:22:30.878562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:28.350656Z digest=sha256:ef01dcb312cda472dbdc7cc45fd034a64d0088c376246c28efd05d7da0c69df6

Observation a00e7e9b-958e-4b0f-9e69-68a6079c9059 · outbound

This paper cites Assaad, Emilie Devijver, Eric Gaussier, Gregor G\" o ssler, and Anouar Meynaoui.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Assaad, Emilie Devijver, Eric Gaussier, Gregor G\" o ssler, and Anouar Meynaoui

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:22:30.868183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:28.397536Z digest=sha256:a32ecea8b6b565f98019dbed6a73e32c7073dfa81b3c704359ec92db8372f633

Observation 65855a92-3ef7-4d4b-8036-8d9c51355f57 · outbound

This paper cites Abstracting Causal Models.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Abstracting Causal Models

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T19:22:28.497103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:22:28.497103Z digest=sha256:5414326adfc783053f8ebe3ade1461edec37fb2b74ceb5ce542265bb1ef48877

Observation 66f9ec7a-8fb6-498b-920f-0e8eb2a0b50b · outbound

This paper cites Causal abstractions of neural networks.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Causal abstractions of neural networks

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:22:30.857927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:28.594837Z digest=sha256:e49e151f234957ecb4b932f96707f1514a2e6f92d3bbf5c4fc02928f4406357e

Observation 88fa77e4-1605-455c-a09d-0b79149d539c · outbound

This paper cites Causal Abstraction: A Theoretical Foundation for Mechanistic Interpretability.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Causal Abstraction: A Theoretical Foundation for Mechanistic Interpretability

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T19:22:28.725891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:22:28.725891Z digest=sha256:a55e7864b0fa612c6e459a97f3f4c25eb1b7c1a95055dce69471084e1f8ceea4

Observation f8e10484-cb5b-4795-869b-67a286f46ecd · outbound

This paper cites Causal identification under markov equivalence: Calculus, algorithm, and completeness.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Causal identification under markov equivalence: Calculus, algorithm, and completeness

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:22:30.845591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:28.820752Z digest=sha256:1f29da4fc57120e1bd282c4dba506bce7ec93fda2c297fbea22e50c8108b302d

Observation 696feb76-02e5-4bc3-bba2-75a75e86f8da · outbound

This paper cites Learning structures of bayesian networks for variable groups.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Learning structures of bayesian networks for variable groups

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T19:22:28.861482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:22:28.861482Z digest=sha256:79f095e4e9065cac639f5873355cf4e42b68fe90c7f04d8e9222089fec0ad383

Observation c6e66748-b132-4bf4-a35b-339a64784e76 · outbound

This paper cites Causality.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Causality

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T19:22:28.893602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:22:28.893602Z digest=sha256:930fecac68ea01c7af436dc29f1ebe80f8203ece7c8324343bd0faa72f93f243

Observation 27129fc1-b8cb-4d14-80ef-28754a9ec5c2 · outbound

This paper cites Maathuis.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Maathuis

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T19:22:28.956824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:22:28.956824Z digest=sha256:4665bb476309c2ff8209174f79dfc9fef4ddcef31372e2793163a6aa5b8fdb9a

Observation 49ce289e-7b2e-4800-930f-11df1a29c7fe · outbound

This paper cites Rischel and Sebastian Weichwald.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Rischel and Sebastian Weichwald

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:22:30.833107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:29.080778Z digest=sha256:8cbb52fd3272f71ea9d958a74321339e6e55acecafa57dbcc8181118776be4c4

Observation 9973c6ef-7191-4591-929a-a1f4d53863e3 · outbound

This paper cites Identification of joint interventional distributions in recursive semi- Markovian causal models.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Identification of joint interventional distributions in recursive semi- Markovian causal models

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:22:30.754404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:29.126145Z digest=sha256:9f4616baa14b2870cc35a13d2d60c53b505ad81d44ce600afc710f055e77fdfd

Observation 49daf4b8-3ef1-4b20-aa7d-334469d01bc0 · outbound

This paper cites Foundations of causal discovery on groups of variables.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Foundations of causal discovery on groups of variables

Reference 13

Resolution
verified exact
doi, observed 2026-08-06T19:22:29.966262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:29.257722Z digest=sha256:1ed1b0e8c51da31d03a085ce9fcfb5f3d6f59e87608a484218b72648efd251df

Observation 84918e10-7cb5-422b-b3af-585f9d309d8b · outbound

This paper cites Hierarchical Causal Models.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Hierarchical Causal Models

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T19:22:29.405198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:22:29.405198Z digest=sha256:63199b59de21d66cc98620d87d9b0a406a4cae76a774526891a33f8cf614556b

Observation 165a37ca-1ce7-4651-82d2-f1d32722550e · outbound

This paper cites Complete characterization for adjustment in summary causal graphs of timeseries.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Complete characterization for adjustment in summary causal graphs of timeseries

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:22:30.617684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:29.492405Z digest=sha256:2f403573bfcba20fdeea6b85496f404343de586e584ac05745e70dc62d1cb969

Observation 117967ce-a392-4859-9513-e25b2f2ad87b · outbound

This paper cites Towards Computing an Optimal Abstraction for Structural Causal Models.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Towards Computing an Optimal Abstraction for Structural Causal Models

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:22:30.225443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:29.596875Z digest=sha256:0ebc2eedcb7e187239266278da812c0e877a03f5d7ac60f25205747a720e661f

Observation dfc646f5-54d9-49f9-bf34-cb916b69df94 · outbound

This paper cites Quantifying consistency and information loss for causal abstraction learning.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Quantifying consistency and information loss for causal abstraction learning

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T19:22:29.693643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:22:29.693643Z digest=sha256:882efad0d4abc1be846620187dec115769266d8baafcd1498ac3ee722b8c1984

Observation d7d5a5b2-da20-4b71-9968-2b0c623e19eb · outbound

This paper cites Causally abstracted multi-armed bandits.

Identifiability in Causal Abstractions: A Hierarchy of Criteria Causally abstracted multi-armed bandits

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:22:30.457992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T19:22:29.771435Z digest=sha256:a870a202073b63229a985d48373b62ce3780fe2ad9be029eb4ff26903652e100

Pith citing papers

No inbound Pith citation observations are available.