{"as_of":"2026-08-10T03:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:afd11b659872694764df4f1a779a2fe1ac45f38af5d76dbc5bb74733e97b6b03","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T08:05:44.150503Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2606.04065/citation-record","integrity":"/paper/2606.04065/integrity","json":"/paper/2606.04065/citation-record.json","paper":"/paper/2606.04065"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Kakade, and Matus Telgarsky","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:978f38c556f8e0a335467cd88aafde6356c29ee1ae36430acfe42bbb16f33936","observation_id":"d58ddf01-bc0f-433b-9a52-d35878013737","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Random matrices and complexity of spin glasses.Communications on Pure and Applied Mathematics, 66(2):165–201, 2013","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:43106d9c883de22504765b39fd45421635c69a1a303efca567b965d6db688734","observation_id":"8b321528-6a85-4704-b898-65782c4d63ae","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Bai, Jack W","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:a0ff2b1f9e6997058ef3e6120d6c3a3f329e22e41755dcd23de0b3440307578b","observation_id":"245c6a07-dbbc-49d8-982e-373e5cf9d535","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"The landscape of the spiked tensor model.Communications on Pure and Applied Mathematics, 72(11):2282–2330, 2019","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:76d43df4831863509da03d777235b92c4863c75c4d93548c8a89b3edfe71dbb0","observation_id":"f37f83e6-336b-4550-bfa0-9b7d09957dbd","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"A multilinear singular value decomposition.SIAM Journal on Matrix Analysis and Applications, 21(4):1253–1278, 2000","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:52cf8651978a9e23a64cd0759f4e935d4cd84274ae104b3e6f6fbb92e8c73a7a","observation_id":"c362f858-73fd-46ad-a96a-fbd38aef364f","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Hopkins, Jonathan Shi, and David Steurer","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:563e79ffc6f6ea9b7b5afcb8993c9c7b6939b3dd97216a5a3f357e140ba9e67c","observation_id":"b27ad6ac-e2f9-435b-9409-7990c06cbd5f","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Hopkins, Tselil Schramm, Jonathan Shi, and David Steurer","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:605617b60229278f32a4df03a5c19560e81a3465120558f2d65e2776e15ebb58","observation_id":"0c709019-e773-47f3-9b6c-dfc12286232e","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Huang, Qing Yang, and Guang Cheng","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:79a2433102614ed0ad9b922dc83a224f48f65c0836723596e321f770cd2e3e38","observation_id":"376abe5b-5b1d-4ecf-9b72-f437aaacd2f8","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Statistical thresholds for tensor pca","venue":null,"work_id":null,"year":1910},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:7205cc914fab80bf384dce6b174a5c9939bca72adf326139d929968689395513","observation_id":"c8a138c1-c67d-407f-93d3-61233889bdeb","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Kolda and Brett W","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:a5f72d7af27a8c653dedb466ae5b6a613f333d7b02c24664b83b07d9ae1d9c63","observation_id":"a08973bc-a683-4274-a25b-4da315fd0a43","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Singular values and eigenvalues of tensors: A variational approach","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:52d159e4b5c72e7a63a04b30c7439912aded1d8c36acdbad28ea141c8f35281d","observation_id":"20e45e98-040f-4fb4-9aa7-eab9bfc4bb86","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"A statistical model for tensor pca","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:48d483c3763cbdbe5008cb2733f9b116182936090d3018ea9636d515606e177f","observation_id":"4b058e8f-1662-4225-9495-625ec5cb1f83","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Eigenvalues of a real supersymmetric tensor.Journal of Symbolic Computation, 40 (6):1302–1324, 2005","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:7d5d6b1ea13553df0b3058ef8a66a3640eb5924f8a1709a50def2f963672f787","observation_id":"51ba925b-e8b3-4b13-a5c7-50a09bd55071","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1407.1870","last_updated":"2014-07-07T20:30:06Z","snapshot_observed_at":"2026-07-06T03:48:17.300160Z","submitted_at":"2014-07-07T20:30:06Z","title":"Spectral norm of random tensors","version":1},"cited_work":{"arxiv_id":"1407.1870","doi":null,"metadata_source":"pith","pith_arxiv_id":"1407.1870","snapshot_observed_at":"2026-07-02T05:36:40.399209Z","title":"Spectral norm of random tensors, 2014.https://arxiv.org/abs/ 1407.1870","venue":"math.ST","work_id":"613d363a-074f-4455-945c-27dff5a775b2","year":2014},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"cited_paper":"/paper/1407.1870","citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:d9b7fa20076b412eccf45a675846839d83547645f2cfcd6980a05a5ab830308e","observation_id":"d0053751-bd60-4074-86da-e2c4a0f08582","resolution":{"observed_at":"2026-07-02T05:36:40.400546Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Sharp analysis of power iteration for tensor pca.Journal of Machine Learning Research, 25(195):1–42, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:4035d291e90c26c671451942b21f6ff40a768b05dd189b35198c5ca1996025e8","observation_id":"e4781260-52a0-40e1-bf76-63de9f5248b3","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:05:44.150503Z","title":"Yin, Zhidong D","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-28T08:05:44.150503Z"},"links":{"citing_paper":"/paper/2606.04065"},"observation_digest":"sha256:f5d28112f55792bbaab0c5e1cabca38edf2c18da60d2c681a5018a169e9d1c59","observation_id":"305c9bf0-fb3e-4048-bdef-415bf7cdb861","resolution":{"observed_at":"2026-06-28T08:05:44.150503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.04065","last_updated":"2026-06-02T13:44:12Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-08T09:26:23.976207Z","submitted_at":"2026-06-02T13:44:12Z","title":"Finite-Iteration Local Dynamics and Warm Starts for Alternating Power Iteration in Spiked Tensor PCA"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":16},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2606.04065."}