Pith. sign in

Paper Citation Record · LEDGER

Mechanistic Independence: A Principle for Identifiable Disentangled Representations

As of 4 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2509.22196.

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

pith.paper-citation-record.v1
2509.22196 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T13:31:41.141199Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T03:34:28.898022Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact15
  • verified fuzzy4
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 45d37595-3d92-49a1-a2fe-f5d4f8bd7f1f · outbound

This paper cites Weakly Supervised Representation Learning with Sparse Perturbations.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Weakly Supervised Representation Learning with Sparse Perturbations

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.884560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:9d81c6b2ca730a67deac90f59630dc3d7d01fb541fa70f6e60abb6471f4f15a9

Observation 78d597c5-8651-4a81-bf1f-b1d7fe97f563 · outbound

This paper cites Provably Learning Object-Centric Representations.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Provably Learning Object-Centric Representations

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.869824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:beb6d8864fa4eaec235ac201cc034c31b93aa7072979e193714571b02f014ea2

Observation cba546e6-875c-4130-97dd-c05a4713ab6e · outbound

This paper cites Interaction Asymmetry: A General Principle for Learning Composable Abstractions.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Interaction Asymmetry: A General Principle for Learning Composable Abstractions

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.825842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:4b1118159bd9a5f032a182ca977f0f8308b9d67fb0b012136fbf9fc0779baea5

Observation 96526c3e-0bc1-41ce-b74a-ce0f7eaf00c2 · outbound

This paper cites Multidimensional independent component analysis.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Multidimensional independent component analysis

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:32:37.936209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:4054c89013f0885f5b79ad144c417215e12a222aa3aea26baea2b439ae15da13

Observation cde6a8f5-5085-49b0-bdb7-d2bb45299188 · outbound

This paper cites Identifiability Results for Multimodal Contrastive Learning.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Identifiability Results for Multimodal Contrastive Learning

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.849795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:211e2fe2975b31e005b2a6c23f0ad50523a2309f08f9ad77ef8f236773a87c91

Observation 49951054-0d4f-44fb-8b05-793d3fbfc5a9 · outbound

This paper cites Independent Mechanism Analysis and the Manifold Hypothesis.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Independent Mechanism Analysis and the Manifold Hypothesis

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.841301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:d15e997c0dab95a02d8c2fab332ce2f891b20074e78fba688b9c4671d2adacb0

Observation ff378eb1-8f90-4946-899c-8b3a68a068f3 · outbound

This paper cites On the Binding Problem in Artificial Neural Networks.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations On the Binding Problem in Artificial Neural Networks

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.829929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:4d5fe005ae32748b70fec93f24ce4d89633e88c55b9a88e8f5e570e1d10d380e

Observation eb669acd-3cfc-49fe-9f35-00cb615bd90e · outbound

This paper cites The Responsibility Problem in Neural Networks with Unordered Targets.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations The Responsibility Problem in Neural Networks with Unordered Targets

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.850598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:d11ab189e1d91f24f4ead577030567a9903a5f2619b8b7f88c388ba04104ad9c

Observation e5de2e79-e771-41d2-be41-113ce50a6167 · outbound

This paper cites Towards a Definition of Disentangled Representations.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Towards a Definition of Disentangled Representations

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:32:37.879404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:4640a315777fbe542cc81f2522e48f92439755b477cb25e43a35eb85b30a2bf4

Observation afaae60d-0995-4d97-b45c-f8d87e53465b · outbound

This paper cites Towards Nonlinear Disentanglement in Natural Data with Temporal Sparse Coding.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Towards Nonlinear Disentanglement in Natural Data with Temporal Sparse Coding

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.864555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:6dfe9a06c0d5943a421704136b417751ff718d72034ca12a7e8c130c53d6cd43

Observation 5f29e9f7-cbcb-4694-9e75-3eb5be02d8bc · outbound

This paper cites Partial Disentanglement via Mechanism Sparsity.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Partial Disentanglement via Mechanism Sparsity

Reference 11

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T13:32:37.874594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:0316b4effb50ac233d8b93a012eae65a96fa248ce1eae22854e90e86338add19

Observation ce05a8ee-5b16-445f-b589-53756df9dc25 · outbound

This paper cites Additive Decoders for Latent Variables Identification and Cartesian-Product Extrapolation.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Additive Decoders for Latent Variables Identification and Cartesian-Product Extrapolation

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.830598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:a37c7a28a985dae2fa86e0bb1104fbdf9fe7646398289e82215094aa6a063218

Observation 2142df9b-d178-43f4-b054-f9cae3e0df50 · outbound

This paper cites Nonparametric Partial Disentanglement via Mechanism Sparsity: Sparse Actions, Interventions and Sparse Temporal Dependencies.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Nonparametric Partial Disentanglement via Mechanism Sparsity: Sparse Actions, Interventions and Sparse Temporal Dependencies

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-08-03T01:25:21.637949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:5714ca81d9c7ebbea9e94147bb80af978073bc627990a9d3f9d39c8c3841e9f7

Observation c986b785-2d3a-4ef8-8d1c-8543a871a493 · outbound

This paper cites Object-centric architectures enable efficient causal representation learning.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Object-centric architectures enable efficient causal representation learning

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.846181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:1998db03c41025f09d3c73a822bc571d602545d4e98f77751ff91a3f9c8845ce

Observation 430c5abf-1225-4318-9018-d8a49e8e417c · outbound

This paper cites Identifiable Deep Generative Models via Sparse Decoding.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Identifiable Deep Generative Models via Sparse Decoding

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.855120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:917b21151d5dde782556fcc2ca00ed1a0b15e4da5ea085fca5e775c9cb84b08a

Observation 59fd4582-473c-4075-be34-272f34104995 · outbound

This paper cites Multi-View Causal Representation Learning with Partial Observability.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Multi-View Causal Representation Learning with Partial Observability

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.859372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:52601069c87a6fc67689b6ac92908a2f439ae6715196047b998560b41a952ecf

Observation b2e08ad9-c0f0-4404-936a-ff55dd8caed5 · outbound

This paper cites FSPool: Learning Set Representations with Featurewise Sort Pooling.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations FSPool: Learning Set Representations with Featurewise Sort Pooling

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:32:37.840792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:aed903ae401da11e010d2c087289c12fb801b2332fb631ab611cad26827c97fe

Observation 6272fc65-3996-48df-96f8-fb0556c4ef93 · outbound

This paper cites Proposition 3.LetA∈R m×n.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Proposition 3.LetA∈R m×n

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:32:37.946901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:d6d11d1c8ff68dfed443f6d470d8ffafe9a1fd84703a10ca125720e635601ba3

Observation 744e513e-b250-490e-9c47-5331b5912d2b · outbound

This paper cites Since dim(V)≥2, choose a decompositionV=A⊕BwithA, B̸={0}.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations Since dim(V)≥2, choose a decompositionV=A⊕BwithA, B̸={0}

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:32:37.939607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:d9c886053e5baa65c4b9c4f48504b33c57f5065b2d6605800ba9c8f8e6f88293

Observation 756ef405-55fc-4e4a-870b-c3b9092dfb66 · outbound

This paper cites This is impossible: any such combination has at least five nonzeros, even under careful cancellations.

Mechanistic Independence: A Principle for Identifiable Disentangled Representations This is impossible: any such combination has at least five nonzeros, even under careful cancellations

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:32:37.943712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-18T13:31:41.141199Z digest=sha256:4dbcfecee339eef92da4a88fccce8b0f0fe7aa3d46e66c8329dbfe63683ba1f3

Pith citing papers

Observation 74324fd4-4666-411b-8328-1d1842a926e3 · inbound

Beyond ICA: Identifiability by Symmetry Breaking cites this paper.

Beyond ICA: Identifiability by Symmetry Breaking Mechanistic Independence: A Principle for Identifiable Disentangled Representations

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-01T03:34:28.898022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:34:28.898022Z digest=sha256:6d88c2d6d0fe48450ea87514cf6b2679b5793a46b92272036108eb6cc0616602