Pith. sign in

Paper Citation Record · LEDGER

Nonnegative matrix factorization and the principle of the common cause

As of 17 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2509.03652.

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

pith.paper-citation-record.v1
2509.03652 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:53:28.631326Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

35 of 35 outbound references displayed

  • verified exact1
  • verified fuzzy33
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b727a551-cf1a-4978-aa9b-e0c523d4c804 · outbound

This paper cites Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values,.

Nonnegative matrix factorization and the principle of the common cause Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:36.955430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.118305Z digest=sha256:2e76a5e18eef58c0cfbf1be3b619f035f1a18e25811a15b12968ff4b330e4dad

Observation b2d639d9-fc54-44d6-8821-83bbda680110 · outbound

This paper cites Learning the parts of objects by non- negative matrix factorization,.

Nonnegative matrix factorization and the principle of the common cause Learning the parts of objects by non- negative matrix factorization,

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T10:53:25.201199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:53:25.201199Z digest=sha256:44c418a804cbc809dc3615c4c8250b9caaff961fa45302b35bb33b4a4efbe478

Observation 24fb1008-b295-4d4a-9003-09d42d613e04 · outbound

This paper cites Gillis, Nonnegative Matrix Factorization.

Nonnegative matrix factorization and the principle of the common cause Gillis, Nonnegative Matrix Factorization

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:36.751314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.271326Z digest=sha256:ae49125dc741fc89a4b53f9e40af8dd9db6996fc0224ae95e05e8b56a1305b71

Observation 3b13599b-4c8c-42ba-922f-323062b06d38 · outbound

This paper cites On the complexity of nonnegative matrix factorization,.

Nonnegative matrix factorization and the principle of the common cause On the complexity of nonnegative matrix factorization,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:36.514805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.350061Z digest=sha256:be0a02c3cfde7a9997d22eb1152ae17c3d890fbaa31518e9531efc970177db93

Observation df1ddbb7-b45d-48e6-b5ca-cac263d7d3c7 · outbound

This paper cites Assessing methods for evaluating the number of components in non-negative matrix factorization,.

Nonnegative matrix factorization and the principle of the common cause Assessing methods for evaluating the number of components in non-negative matrix factorization,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:36.293905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.419927Z digest=sha256:9f05fa810457732d975354a7a0feb1fdd39d0cb0145c8fa2e0081270b4d537ec

Observation 8994bdb3-11c5-475b-bfd0-1fb1eb59643a · outbound

This paper cites Rank selection in nonnegative matrix factorization using minimum description length,.

Nonnegative matrix factorization and the principle of the common cause Rank selection in nonnegative matrix factorization using minimum description length,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:36.042533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.549737Z digest=sha256:a1a614808980192e4aa213ddb1a27a593f045f75a85a790d700d8b0e9d1c18ab

Observation ce56cb82-2bf1-404a-9bf4-67f533d37b85 · outbound

This paper cites Reichenbach, The direction of time.

Nonnegative matrix factorization and the principle of the common cause Reichenbach, The direction of time

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:35.809165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.629516Z digest=sha256:b8ae9e054d6cabcec64aca3f9fa0fc665dcd357d16724e5db16710e5959ee4a9

Observation ee8712b1-ce21-4b54-9bb4-25cf791bf80b · outbound

This paper cites Suppes, A probabilistic theory of causality.

Nonnegative matrix factorization and the principle of the common cause Suppes, A probabilistic theory of causality

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:35.544886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.717247Z digest=sha256:8265c3e291c566edd174919bbf07d96c34482a6a542f91443ab6c4fb7c77a235

Observation 80b87ad2-6899-45c0-a7db-96ef7e784011 · outbound

This paper cites Peters, D.

Nonnegative matrix factorization and the principle of the common cause Peters, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:35.318155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.811024Z digest=sha256:8c33e501efbd302a5c7c7ef848c909264399ebcb7fba88e5cbf16331c95e0519

Observation a056d429-e3f0-44be-8ab7-4ad8cc1b30c4 · outbound

This paper cites Colloquium: Bell’s theorem and locally mediated reformulations of quantum mechanics,.

Nonnegative matrix factorization and the principle of the common cause Colloquium: Bell’s theorem and locally mediated reformulations of quantum mechanics,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:35.051155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.879827Z digest=sha256:7632626feb994f93ec3fdd11fac565ef78e765d0808172de907c8a6e6c887e53

Observation fc380e09-e8ee-47b4-8414-dd4775ab2094 · outbound

This paper cites The direction of time,.

Nonnegative matrix factorization and the principle of the common cause The direction of time,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:34.818488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:25.997049Z digest=sha256:de28ade7f139c3c33bb4722d939cacd39e79ecc19401e701f0bf985d8f8e4139

Observation 2c857028-a2ab-42f5-ad16-237710aaa654 · outbound

This paper cites A causal-model theory of conceptual representation and cat- egorization.

Nonnegative matrix factorization and the principle of the common cause A causal-model theory of conceptual representation and cat- egorization

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:34.600880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:26.127280Z digest=sha256:8a660670b8c95845dbfb52ef8ba30de4fab3b7a8bc602dd2f941e3b709ba8d93

Observation 31df8cbe-fb57-4f61-b780-14d341265e1f · outbound

This paper cites Nonnegative matrix factorization: an analytical and interpretive tool in computational biology,.

Nonnegative matrix factorization and the principle of the common cause Nonnegative matrix factorization: an analytical and interpretive tool in computational biology,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:34.434507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:26.230671Z digest=sha256:a37d19f0f214f5b76dced0f4749694c994706114ea0456774a320dd7754381f0

Observation 64e0ee84-bca5-4e46-8d55-e5ed682508ad · outbound

This paper cites Common cause explanation,.

Nonnegative matrix factorization and the principle of the common cause Common cause explanation,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:34.195784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:26.320776Z digest=sha256:a7e81eacb77a3edee7fd19ddf3b59cd83a8603f97bf2b5f743f76eb4631a9600

Observation 42a57a67-777b-496c-acd9-0f8f04f100e9 · outbound

This paper cites Resolution of Simpson's paradox via the common cause principle.

Nonnegative matrix factorization and the principle of the common cause Resolution of Simpson's paradox via the common cause principle

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:53:28.809295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:26.416497Z digest=sha256:a77d85626c2c94aed2206b4728e7850f5a8a1ca21d07f68ff0d350edfad5262c

Observation 41fa8614-e4ee-4a8d-af15-60393f4b0b84 · outbound

This paper cites Image denoising review: From classical to state-of-the-art approaches,.

Nonnegative matrix factorization and the principle of the common cause Image denoising review: From classical to state-of-the-art approaches,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:33.967350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:26.537331Z digest=sha256:029a1bc491c5d2e4fb1ce539145db75e7756ee51716be1a5f7dca91f58678231

Observation 94d2c73e-e3dd-4058-8827-6b69685bc01f · outbound

This paper cites Non-negative matrix factorization with fixed row and column sums,.

Nonnegative matrix factorization and the principle of the common cause Non-negative matrix factorization with fixed row and column sums,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:33.741829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:26.637341Z digest=sha256:d0b9eb1ad50cf53115c11e23f3ca576aeb091ef6f2402c860e573591b334dd02

Observation 527fb23b-83cc-4229-94ec-79218fcd9c7f · outbound

This paper cites Scikit-learn: Machine learning in python,.

Nonnegative matrix factorization and the principle of the common cause Scikit-learn: Machine learning in python,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:33.524983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:26.776965Z digest=sha256:9d00033bdedddfef9ad5332695c65fd073de34c59ec5980dd4512606e2d6c5ae

Observation 3b4599f6-0e16-4c37-b583-d76a9576b598 · outbound

This paper cites Nonnegative ranks, decompositions, and factorizations of nonnegative matrices,.

Nonnegative matrix factorization and the principle of the common cause Nonnegative ranks, decompositions, and factorizations of nonnegative matrices,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:33.263211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:26.858044Z digest=sha256:8415000e1dfad292eab8d944ca57701ba6ee66cafcb197fb5eeb9d0aad4e3e3e

Observation db05c8ff-0756-4433-9a22-a3378077941c · outbound

This paper cites When does non-negative matrix factor- ization give a correct decomposition into parts?.

Nonnegative matrix factorization and the principle of the common cause When does non-negative matrix factor- ization give a correct decomposition into parts?

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:33.057505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:26.928945Z digest=sha256:59751833923ed743c4a16afcd6144d89e278fa171e3463b36d5f149ff9961bc5

Observation cdb61cf0-7224-48b2-9fa7-3605bdb6c2d8 · outbound

This paper cites The most likely common cause,.

Nonnegative matrix factorization and the principle of the common cause The most likely common cause,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:32.841223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:27.063057Z digest=sha256:2ec97ef8a70097844c9189d2ddae70ace47f508b26e0ac60b58c64f1a69abb4d

Observation 5da2b88f-052e-4b0c-a599-b2c7b853711b · outbound

This paper cites Causal feature selection,.

Nonnegative matrix factorization and the principle of the common cause Causal feature selection,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:32.612351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:27.226140Z digest=sha256:9dc793a4a0696089fb5ddb949788c19b1b49417042fffbed2cf1b29bfd465cbd

Observation beaa73f7-d9b5-4df0-8c6d-c6bc8506539f · outbound

This paper cites A unified view of causal and non-causal feature selection,.

Nonnegative matrix factorization and the principle of the common cause A unified view of causal and non-causal feature selection,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:32.424429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:27.319166Z digest=sha256:e56b26d1e3492794d49b07e9fd2e4ee8b9ad9c60063b26cfd90f97d9a61f56b0

Observation b3fdf4f0-77b7-4084-a730-1af55b7f39a4 · outbound

This paper cites Generalised reichenbachian common cause systems,.

Nonnegative matrix factorization and the principle of the common cause Generalised reichenbachian common cause systems,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:32.202651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:27.442494Z digest=sha256:7a5b617ce0abde90568b629e81c476226f39118f92665d3400901b450d126463

Observation 5ccc689a-59da-4bbe-9de3-c52c36bee70e · outbound

This paper cites Horwich, Asymmetries in time: Problems in the philosophy of science.

Nonnegative matrix factorization and the principle of the common cause Horwich, Asymmetries in time: Problems in the philosophy of science

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:31.973063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:27.617021Z digest=sha256:44cf5222e97a8e8c881b0bc4e5673513b2c39d4b966a28a5859281e863d8cd15

Observation c9138017-4525-4031-8ce4-382c299772f7 · outbound

This paper cites The principle of the common cause faces the bernstein paradox,.

Nonnegative matrix factorization and the principle of the common cause The principle of the common cause faces the bernstein paradox,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:31.778812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:27.708986Z digest=sha256:220e61266581df10299ca7d7a99121e2f9480d9e8ae2f2ede294ccef5717dd36

Observation f2dfae34-0276-45dd-ba67-4abb804680a5 · outbound

This paper cites Imprecise bayesian networks as causal models,.

Nonnegative matrix factorization and the principle of the common cause Imprecise bayesian networks as causal models,

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:31.396632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:27.778918Z digest=sha256:8028c9a79bbcc75b005562373e29d70805a94f1c37a17276a9c8be2dd956e23b

Observation 28b6dce5-4c2a-43a7-8227-8a0bb4a4faa1 · outbound

This paper cites The database of faces,.

Nonnegative matrix factorization and the principle of the common cause The database of faces,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:31.163025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:27.899646Z digest=sha256:70039c375248d417789e26abed480b9758922a3e11bd1a022d50cf359de0b558

Observation fe7292d4-1cf2-4a7c-ba14-467838bb570c · outbound

This paper cites Age progression/regression by condi- tional adversarial autoencoder,.

Nonnegative matrix factorization and the principle of the common cause Age progression/regression by condi- tional adversarial autoencoder,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:30.935841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:28.018320Z digest=sha256:f93981d2e8d16bfc707621545dfd3538db276519e6c294d441fa65883c87d866

Observation 17e9446f-e8b0-4a51-b484-e939dd8ec141 · outbound

This paper cites Utkface,.

Nonnegative matrix factorization and the principle of the common cause Utkface,

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:30.714609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:28.140403Z digest=sha256:3e4708bc362b87eade0391362037bd6689a29bfb7272cee70b8c4a6b68423f09

Observation c2e7e88b-4038-4f4b-a31b-7af4061bf3ca · outbound

This paper cites Model-order selection: a review of information criterion rules,.

Nonnegative matrix factorization and the principle of the common cause Model-order selection: a review of information criterion rules,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:30.304053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:28.211334Z digest=sha256:d537434e356c73f1c7fdf8d942810eef6ea3071f57777e6c55a844d338df0465

Observation 4da951fe-2968-418a-a946-09a90a12fe7d · outbound

This paper cites On the derivation of the bayesian information criterion,.

Nonnegative matrix factorization and the principle of the common cause On the derivation of the bayesian information criterion,

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:29.921451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:28.294004Z digest=sha256:af09c60ddb75b5c9e6edc8277a5b5426d366d3e2181f8fa6b0c524a9c753bbb3

Observation 84d29404-5c22-4969-8eb6-a161f8b45c85 · outbound

This paper cites Weight of evidence: A brief survey,.

Nonnegative matrix factorization and the principle of the common cause Weight of evidence: A brief survey,

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:29.666457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:28.384675Z digest=sha256:47991a9ce45dd5c54b8d356f4b806ec00958a55f87f43092efbc93ee2de05824

Observation ca09d1b4-2b56-48f2-9cd3-615646cb4c9c · outbound

This paper cites Scipy 1.0: Fundamental algorithms for scientific computing in python,.

Nonnegative matrix factorization and the principle of the common cause Scipy 1.0: Fundamental algorithms for scientific computing in python,

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:29.427775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:28.512960Z digest=sha256:a1321e26f50f935808ae48e3b6f0e0f52a54737a4f1908aa14c7c9a08e9c8070

Observation 7541e944-bb73-4af5-b3a2-c6b05cd20d7d · outbound

This paper cites Causal feature learning: an overview,.

Nonnegative matrix factorization and the principle of the common cause Causal feature learning: an overview,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:53:29.117722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T10:53:28.631326Z digest=sha256:33789c6cb4ca50b097e86c7bd9f5bd32663bb776318e28c0e26af88c28b911e2

Pith citing papers

No inbound Pith citation observations are available.