Paper Citation Record · LEDGER

A Smooth Computational Transition in Tensor PCA

As of 10 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 3 inbound Pith citation observations for arXiv:2509.09904.

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

pith.paper-citation-record.v1
2509.09904 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:38:13.953646Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T00:02:41.365005Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T00:02:49.560191Z

Reference resolution

47 of 47 outbound references displayed

verified exact0
verified fuzzy0
unresolved47
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e8aa3027-b2cb-4a93-aa5d-62a9b4e0fb7d · outbound

This paper cites Community detection in general stochastic block models: Fundamental limits and efficient algorithms for recovery.

A Smooth Computational Transition in Tensor PCA Community detection in general stochastic block models: Fundamental limits and efficient algorithms for recovery

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.412252Z

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Observation 00793b2e-027d-484b-8069-408fcb46ce4e · outbound

This paper cites Proof of the achievability conjectures for the general stochastic block model.

A Smooth Computational Transition in Tensor PCA Proof of the achievability conjectures for the general stochastic block model

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.431093Z

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Observation dcc36a4a-38c4-4124-9497-100b5fa91f91 · outbound

This paper cites Cenk Sahinalp.

A Smooth Computational Transition in Tensor PCA Cenk Sahinalp

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.436685Z

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Observation 3eae5334-ac8f-4630-bd14-9ddd7c1c7f69 · outbound

This paper cites Color-coding.

A Smooth Computational Transition in Tensor PCA Color-coding

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.444537Z

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Observation 65f39831-4020-4e31-8357-bf0a26affde2 · outbound

This paper cites Approximation algorithms for some parameterized counting problems.

A Smooth Computational Transition in Tensor PCA Approximation algorithms for some parameterized counting problems

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.456009Z

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Observation 66df5a4e-09b8-41e9-aa3a-235bf31b4c64 · outbound

This paper cites Bandeira, Giorgio Cipolloni, Dominik Schr o der, and Ramon van Handel.

A Smooth Computational Transition in Tensor PCA Bandeira, Giorgio Cipolloni, Dominik Schr o der, and Ramon van Handel

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.463885Z

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Observation 15ed9e15-bb21-4920-96d3-190676beb32b · outbound

This paper cites Bandeira, Ahmed El Alaoui, Samuel B.

A Smooth Computational Transition in Tensor PCA Bandeira, Ahmed El Alaoui, Samuel B

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.475387Z

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Observation df0f14ec-4cf1-4a39-bf58-d1d6c421824d · outbound

This paper cites Randomstrasse101: Open Problems of 2024.

A Smooth Computational Transition in Tensor PCA Randomstrasse101: Open Problems of 2024

Reference 8

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Observation 19123c8b-b6d1-4981-bf36-bfcfad3aa5ce · outbound

This paper cites Bandeira, Dmitriy Kunisky, and Alexander S.

A Smooth Computational Transition in Tensor PCA Bandeira, Dmitriy Kunisky, and Alexander S

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.501458Z

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Observation 40776427-513d-484d-8bd2-4e827d18f9b1 · outbound

This paper cites Contiguity and non-reconstruction results for planted partition models: the dense case.

A Smooth Computational Transition in Tensor PCA Contiguity and non-reconstruction results for planted partition models: the dense case

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.507509Z

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Observation 947bae8f-5d3e-4a4c-ab42-b2157742e0b7 · outbound

This paper cites Optimal hypothesis testing for stochastic block models with growing degrees.

A Smooth Computational Transition in Tensor PCA Optimal hypothesis testing for stochastic block models with growing degrees

Reference 11

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Observation e3c7dcf2-af97-4a9e-87b3-fb50dc16675a · outbound

This paper cites Hopkins, Jonathan Kelner, Pravesh K.

A Smooth Computational Transition in Tensor PCA Hopkins, Jonathan Kelner, Pravesh K

Reference 12

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Observation 0f042970-63fc-4b88-a4dd-8a3899dc19d0 · outbound

This paper cites Algorithmic threshold for tensor PCA.

A Smooth Computational Transition in Tensor PCA Algorithmic threshold for tensor PCA

Reference 13

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Observation 58166705-d6a5-4cf3-a371-7ed447b6b513 · outbound

This paper cites Asymptotic enumeration of sparse uniform hypergraphs with given degrees.

A Smooth Computational Transition in Tensor PCA Asymptotic enumeration of sparse uniform hypergraphs with given degrees

Reference 14

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Observation 09d1f51e-68b2-48ec-ac4f-8469124c1c2a · outbound

This paper cites Non-backtracking spectrum of random graphs: Community detection and non-regular Ramanujan graphs.

A Smooth Computational Transition in Tensor PCA Non-backtracking spectrum of random graphs: Community detection and non-regular Ramanujan graphs

Reference 15

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Observation b4a4c311-8aec-4b25-a40a-d60373108e2d · outbound

This paper cites Reducibility and statistical-computational gaps from secret leakage.

A Smooth Computational Transition in Tensor PCA Reducibility and statistical-computational gaps from secret leakage

Reference 16

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Observation a11655d5-c831-4619-960b-a5e1ac13f7e9 · outbound

This paper cites The algorithmic phase transition of random k -SAT for low degree polynomials.

A Smooth Computational Transition in Tensor PCA The algorithmic phase transition of random k -SAT for low degree polynomials

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T18:38:13.594087Z

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Observation edc9ca5b-7c43-4a8f-a92e-eec01fc58baa · outbound

This paper cites Testing for high-dimensional geometry in random graphs.

A Smooth Computational Transition in Tensor PCA Testing for high-dimensional geometry in random graphs

Reference 18

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Observation b1405356-90a1-4571-ad8b-3d60a7ada60b · outbound

This paper cites A computational transition for detecting correlated stochastic block models by low-degree polynomials.

A Smooth Computational Transition in Tensor PCA A computational transition for detecting correlated stochastic block models by low-degree polynomials

Reference 19

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Observation 0ecfe51e-7035-44ec-86e1-32e972389153 · outbound

This paper cites an unresolved cited work.

A Smooth Computational Transition in Tensor PCA Unresolved cited work

Reference 20

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Observation 82d453cd-e9de-451b-8a89-d213b8d6d27c · outbound

This paper cites Low-degree hardness of detection for correlated Graphs.

A Smooth Computational Transition in Tensor PCA Low-degree hardness of detection for correlated Graphs

Reference 21

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Observation dfd3d04a-bc34-46c7-8607-1d577aef60f9 · outbound

This paper cites Wein, and Afonso S.

A Smooth Computational Transition in Tensor PCA Wein, and Afonso S

Reference 22

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Observation fa48fba2-55e5-4445-9937-28e908f8555c · outbound

This paper cites Hypertree decompositions and tractable queries.

A Smooth Computational Transition in Tensor PCA Hypertree decompositions and tractable queries

Reference 23

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A Smooth Computational Transition in Tensor PCA Unresolved cited work

Reference 24

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A Smooth Computational Transition in Tensor PCA Unresolved cited work

Reference 25

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Observation 237f4f15-1c93-42a1-929e-3630c36f5ffa · outbound

This paper cites Hopkins, Pravesh K.

A Smooth Computational Transition in Tensor PCA Hopkins, Pravesh K

Reference 26

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Observation 9e813458-8076-4b35-9234-29f687c58726 · outbound

This paper cites Hopkins, Jonathan Shi, and David Steurer.

A Smooth Computational Transition in Tensor PCA Hopkins, Jonathan Shi, and David Steurer

Reference 27

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Observation 283f97f7-c565-497c-9fd1-4323681cae4b · outbound

This paper cites Hopkins and David Steurer.

A Smooth Computational Transition in Tensor PCA Hopkins and David Steurer

Reference 28

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Observation d110c098-ba1e-4531-b656-e55b9040f36b · outbound

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A Smooth Computational Transition in Tensor PCA Unresolved cited work

Reference 29

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Observation a42e853d-4256-42c5-9634-ac0836c66fb0 · outbound

This paper cites Wein, and Afonso S.

A Smooth Computational Transition in Tensor PCA Wein, and Afonso S

Reference 30

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Observation fd48218a-2dbf-4b18-b8c6-96c75185f396 · outbound

This paper cites Computational hardness of detecting graph lifts and certifying lift-monotone properties of random regular graphs.

A Smooth Computational Transition in Tensor PCA Computational hardness of detecting graph lifts and certifying lift-monotone properties of random regular graphs

Reference 31

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Observation 1d24c235-6334-4bc1-8ebd-0e3cbba8e834 · outbound

This paper cites Statistical and computational phase transitions in spiked tensor estimation.

A Smooth Computational Transition in Tensor PCA Statistical and computational phase transitions in spiked tensor estimation

Reference 32

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A Smooth Computational Transition in Tensor PCA Unresolved cited work

Reference 33

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A Smooth Computational Transition in Tensor PCA Unresolved cited work

Reference 34

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Observation db9ba875-d001-494a-9d29-1db568492294 · outbound

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A Smooth Computational Transition in Tensor PCA Unresolved cited work

Reference 35

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Observation 06d0434f-e74b-4aa0-8cdb-1c4079436150 · outbound

This paper cites Community detection thresholds and the weak Ramanujan property.

A Smooth Computational Transition in Tensor PCA Community detection thresholds and the weak Ramanujan property

Reference 36

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Observation 48ef4ba9-beb3-46b2-b4e5-7a056b712772 · outbound

This paper cites Network motifs: simple building blocks of complex networks.

A Smooth Computational Transition in Tensor PCA Network motifs: simple building blocks of complex networks

Reference 37

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Observation 5793365c-5bed-4d18-9df4-b5f71211f8f9 · outbound

This paper cites Phase transitions in spiked matrix estimation: information-theoretic analysis.

A Smooth Computational Transition in Tensor PCA Phase transitions in spiked matrix estimation: information-theoretic analysis

Reference 38

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Observation b8f462d1-52a6-487a-afa9-31659f076ef1 · outbound

This paper cites Reconstruction and estimation in the planted partition model.

A Smooth Computational Transition in Tensor PCA Reconstruction and estimation in the planted partition model

Reference 39

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Observation af1ed4fe-2e00-4838-877a-016b6bec68c5 · outbound

This paper cites A proof of the block model threshold conjecture.

A Smooth Computational Transition in Tensor PCA A proof of the block model threshold conjecture

Reference 40

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Observation 7c0de347-fdbb-4cd0-bcd5-ada41c90958f · outbound

This paper cites Weak recovery, hypothesis testing, and mutual information in stochastic block models and planted factor graphs.

A Smooth Computational Transition in Tensor PCA Weak recovery, hypothesis testing, and mutual information in stochastic block models and planted factor graphs

Reference 41

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Observation c2ee7cd3-a56c-4797-8978-b27d3c9c6a49 · outbound

This paper cites Silva, David Aparicio, and Fernando Silva.

A Smooth Computational Transition in Tensor PCA Silva, David Aparicio, and Fernando Silva

Reference 42

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Observation ed50bd98-7640-4d84-8022-e438d4eb6de1 · outbound

This paper cites A statistical model for tensor PCA.

A Smooth Computational Transition in Tensor PCA A statistical model for tensor PCA

Reference 43

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Observation 55c248d4-df13-4ec1-a797-fd40d9578075 · outbound

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A Smooth Computational Transition in Tensor PCA Unresolved cited work

Reference 44

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Observation 7fccf9e2-f27f-48ac-9b78-a6489dfac02f · outbound

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A Smooth Computational Transition in Tensor PCA Average-case hardness of RIP certification

Reference 45

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This paper cites an unresolved cited work.

A Smooth Computational Transition in Tensor PCA Unresolved cited work

Reference 46

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Observation 67bebde0-e913-4243-9308-c9859e2e4b76 · outbound

This paper cites Wein, Ahmed El Alaoui, and Cristopher Moore.

A Smooth Computational Transition in Tensor PCA Wein, Ahmed El Alaoui, and Cristopher Moore

Reference 47

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Pith citing papers

Observation 4f8f7294-358e-43dc-9036-c9d7244a036a · inbound

Near Optimal Algorithms for Noisy $k$-XOR under Low-Degree Heuristic cites this paper.

Near Optimal Algorithms for Noisy $k$-XOR under Low-Degree Heuristic A Smooth Computational Transition in Tensor PCA

Reference 16

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Observation c5213c88-ca31-48f3-a4f2-751bc984631a · inbound

Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions cites this paper.

Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions A Smooth Computational Transition in Tensor PCA

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-20T02:37:59.324166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f35fd7bd-e3f3-4ec6-95f7-481160b3cd43 · inbound

Low-degree estimation thresholds in planted hypergraphs and tensor PCA cites this paper.

Low-degree estimation thresholds in planted hypergraphs and tensor PCA A Smooth Computational Transition in Tensor PCA

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-06-29T00:02:49.562564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.