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Paper Citation Record · LEDGER

A Theory of Structural Independence

As of 14 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2412.00847.

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

pith.paper-citation-record.v1
2412.00847 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:02:29.610200Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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 fuzzy10
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b0d70ef1-7a9d-48f4-bff6-960d16342003 · outbound

This paper cites On equivalence of infinite product measures,.

A Theory of Structural Independence On equivalence of infinite product measures,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.831872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.553021Z digest=sha256:4802624ebb7615be26f390378d60b0e9f4ba817f712ed24856bb4403ba9499a1

Observation c5501562-a81a-4f00-a73a-6e2a879b1582 · outbound

This paper cites Pearl, Causality.

A Theory of Structural Independence Pearl, Causality

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T05:02:29.558669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:02:29.558669Z digest=sha256:dee1417230ad1b08a6f5f7ce409b87f7c1878c3e3786f34124a60e41e53c29ec

Observation 45b4bb75-0ac4-4747-8cba-d48811abf8a5 · outbound

This paper cites Causal networks: Semantics and expressiveness,.

A Theory of Structural Independence Causal networks: Semantics and expressiveness,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.806941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.563340Z digest=sha256:f50c680aba8986aa077ef752fd645e8c2d27870882b4516708c1735877c163d6

Observation 75cd3cfe-3249-456e-86b8-d72f266f281b · outbound

This paper cites An introduction to causal discovery,.

A Theory of Structural Independence An introduction to causal discovery,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.792709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.568200Z digest=sha256:23bc8e2a53267028ef2aa416721feb666424aca4f1f87adb6712a8c6cc978b20

Observation deda596d-bc2e-4d55-9fb8-a2921c271e91 · outbound

This paper cites Factored Space Models: Towards Causality between levels of abstraction ,.

A Theory of Structural Independence Factored Space Models: Towards Causality between levels of abstraction ,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.777712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.572917Z digest=sha256:2bae8c582b5cbd10c8cf13551c86ecac76e59e4429319a091b7fa21a689023b7

Observation 122ee32c-a388-4f1a-aa99-510db2bcf76c · outbound

This paper cites Temporal Inference with Finite Factored Sets.

A Theory of Structural Independence Temporal Inference with Finite Factored Sets

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T05:02:29.577377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:02:29.577377Z digest=sha256:68eaed98828d998d2fbfb59a21bfe2721728536607859dde60851e26ff74dacb

Observation 84fc5339-7e9d-410a-b261-668e6706f04c · outbound

This paper cites Identifying independence in Bayesian networks,.

A Theory of Structural Independence Identifying independence in Bayesian networks,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.762281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.582374Z digest=sha256:6ae6577b19c990637c9fce9bc5bb72a7576bf37bf20838743bb9c3696df3321e

Observation f112643d-0507-426f-9d26-87c23814094a · outbound

This paper cites Causality with Deterministic Relationships,.

A Theory of Structural Independence Causality with Deterministic Relationships,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.746261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.587340Z digest=sha256:67ab454d87e6c3848517e94b8b2e89bdadc297d908cddde8eec6bbc4e9ab8e11

Observation 35ec16cb-52c7-4e3a-99f4-30aed1848e49 · outbound

This paper cites Graphoids: Graph-Based Logic for Reasoning about Relevance Relations or When would x tell you more about y if you already know z?,.

A Theory of Structural Independence Graphoids: Graph-Based Logic for Reasoning about Relevance Relations or When would x tell you more about y if you already know z?,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.728339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.592049Z digest=sha256:126b815c7fed9a3d610ca3bd3b7f03c9c3bac2ec1cc208b20455c91ef4c0c825

Observation 9ff90e81-e31b-4944-83c9-d633163f1d41 · outbound

This paper cites an unresolved cited work.

A Theory of Structural Independence Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:02:29.712827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.596477Z digest=sha256:29f03ea378e6001c326d07c57085051a1c2dc2a0d6bdbfe5ddd90c8ec386b6e4

Observation 87a36be2-b014-42b7-bc73-56d2864ac148 · outbound

This paper cites Intervention and Conditioning in Causal Bayesian Networks,.

A Theory of Structural Independence Intervention and Conditioning in Causal Bayesian Networks,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.696586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.601039Z digest=sha256:737fe3a40cf6535b1f8cb982e9f5f4996defa27ae29f01e4aec3519ce9bdb745

Observation 6ccde95a-bc0a-4bcb-9a82-2dd1a9eb93bf · outbound

This paper cites Qualitative Mechanism Independence,.

A Theory of Structural Independence Qualitative Mechanism Independence,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.680708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.605443Z digest=sha256:92a7bd9028bb65d25f5246c4ad138b0dd5daad97ddcabcaabc6a44674952d8e2

Observation c7f8fbd3-928f-4f8d-a6fe-94af4f1193cf · outbound

This paper cites Durrett, Probability: theory and examples.

A Theory of Structural Independence Durrett, Probability: theory and examples

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:02:29.665231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T05:02:29.610200Z digest=sha256:365af8720ecd77928bf544a096c9b06dd61e08c9509e3a97cb93c624dca3721c

Pith citing papers

No inbound Pith citation observations are available.