{"as_of":"2026-08-08T21:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7d02172682feba24f0f3ce9d8aff3d1380cb36f498c004cf2769f6d5042bd0f5","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T23:51:24.791424Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2605.30636/citation-record","integrity":"/paper/2605.30636/integrity","json":"/paper/2605.30636/citation-record.json","paper":"/paper/2605.30636"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T23:51:24.791424Z","title":"Information-theoretic limits for the matrix tensor product,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:35f5a552b3d5c325c9195aacc3e73c1aad26b632d70ff64d156158c6209cacfc","observation_id":"21249a25-60bb-4418-a3cc-085e7107db60","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Estimating rank- one matrices with mismatched prior and noise: Universality and large deviations,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:f6443717d8d6fe829e12777e3528aff92ce29df6782944ac9b144df75303a7d7","observation_id":"1aa099ad-02e5-45e6-b02a-8d912c33f91c","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Differentiability and overlap concentration in optimal bayesian inference,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:90d9743b2b5a4b45079e67f5d6a0cd370cec5ab30c2f20ade93f1df150dc744c","observation_id":"705be271-2935-44fa-9d1f-a1be722e76e5","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Tight bounds on the capacity of binary input random CDMA systems,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:77c674aa07d2c2b5d20c7ddef5fabde4a68a3fb2654d78ad67ebd908f8ca1c2a","observation_id":"931e4224-b132-42dd-ba03-1f9293637da4","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Applications of the Lindeberg principle in communications and statistical learning,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:c6d6be705a3b916b13ecbd55bc6fb9516d8cf92a51712943a8df367627300c12","observation_id":"62cb5875-1453-44cd-a59c-d4b54a596438","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Mutual information in rank- one matrix estimation,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:6c35a4e569dea5efdaac21005c032f29ac2d62a6ca949a3cf483df83d020a338","observation_id":"eb94057a-2aad-44a8-bd06-abb4e1acd44c","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Asymptotic mutual infor- mation for the balanced binary stochastic block model,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:6cd9c21005a17cea1975b070982888b84c133e795f12974d74dd536b24ce122a","observation_id":"63223c87-21c2-4897-9234-7909b83e7d43","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Statistical and computational phase transitions in spiked tensor estima- tion,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:c71838d0272fc74314f6a72845a2f65bf72489453da7ef504625a20a01c02561","observation_id":"7a2708fb-34f2-457d-bf76-ee9294a6cb9f","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Fundamental limits of symmetric low- rank matrix estimation,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:7483ec94ebcf9925a79bf0b2f3abc38934401bcaca7672ca48dfecc7397d13b3","observation_id":"ecb1ae43-00b2-47b8-8050-67ce903c3c1e","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"The geometry of community detection via the mmse matrix,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:8da009a55c0a48900d6b23aeb2139b9a79f496c778b64091c38e284fe4465069","observation_id":"d5c50264-6b62-411c-aa0a-0d49f16f41d5","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Fundamental limits of non-linear low-rank matrix estimation,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:16e5daa560e5a2198301cc98a4dd53388c93be53dedf0de2552ddade9fd45933","observation_id":"cbfe252d-3694-4de4-a8bc-eeb7c5f337aa","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Low-rank matrix estimation with inhomogeneous noise,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:abc40fcd227d3fb2f73d28c845fc03f333223f40862573aa5f743c7946622ffb","observation_id":"0c88748c-a916-4f1f-a376-1355c224ab84","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Talagrand,The Generic Chaining","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:f5d9d6eebebbcbe7f9db06a503cc78477049021cdcd147d6758939e4a85b5508","observation_id":"45526029-5a69-4bb7-a238-240621807607","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"A generalization of the lindeberg principle,","venue":null,"work_id":null,"year":2061},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:1e7c6620c940b83064eccbb707ce939b9d6409fbbcb518ae2d801a6eb86c4604","observation_id":"542f24a5-5c23-4311-8bd5-4905b62c82ba","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"The layered structure of tensor estimation and its mutual information,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:927cda2ab800da147bca76c19883af2f70205806d71562e16f9c2df239dbf800","observation_id":"d6031d92-881e-4be5-8624-3ccc36a85a6c","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Algorithmic thresholds for tensor pca,","venue":null,"work_id":null,"year":2052},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:1e15d5f1d5947f21bf651e67244dc26db6a6ff67cd9c200ac30978c4ab183ec2","observation_id":"031cc59e-cb2b-4b32-8c2c-a525403e865c","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Statistical inference of finite-rank tensors,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:6a6088f7849768d659c76d7e3494acb22a083f1dcc3c2c750e5963500e5494fc","observation_id":"ea417a3c-52f5-4066-a8bb-6af2d775281f","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.06749","last_updated":"2025-06-07T10:41:54Z","snapshot_observed_at":"2026-08-08T11:15:08.536054Z","submitted_at":"2025-06-07T10:41:54Z","title":"Statistical Limits for Finite-Rank Tensor Estimation","version":1},"cited_work":{"arxiv_id":"2506.06749","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.06749","snapshot_observed_at":"2026-06-28T23:52:49.348751Z","title":"Statistical limits for finite-rank tensor estimation,","venue":null,"work_id":"e4680731-93fc-4533-bbb4-c9dd8685e224","year":2025},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"cited_paper":"/paper/2506.06749","citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:bbe65305b4a2de5e89f82f4fef15c8673177fd5ed4aa95b390c4440077998957","observation_id":"952dcb21-25f0-4577-978b-d3b5662ce5de","resolution":{"observed_at":"2026-06-28T23:52:49.350138Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-28T23:51:24.791424Z","title":"Fundamental limits for high-dimensional factor regression mod- els,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:beef9a2ce4d41650701d0cdebde7f66352e5e271eb4d24ba62daf352ed032af8","observation_id":"43cd895f-ff10-4bd9-9f87-a059504ba496","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Universality in sherrington–kirkpatrick’s spin glass model,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:c2ef708a269ab01e951cb6660a4feda5feb0344372bcd3fb88163703b023308b","observation_id":"42ec01b7-4691-4a1b-ba55-0581daf7406d","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Talagrand,Mean Field Models for Spin Glasses, Volume I: Basic Examples","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:ee327169882d009673ea5a254a6e706bfbacc24561c364fbdf0b663103ebd048","observation_id":"237e4ff7-839f-4ef0-8c41-b11c1287ecf1","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"The parisi ultrametricity conjecture,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:83a0a8dd1c55441cfe9bc05d055b408b58b5b6dd1640d37b9438ac14ae23c3ee","observation_id":"87d78852-6d2c-4433-bb53-1056fd5395e9","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Universality in polytope phase transitions and iterative algorithms,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:95439cf200b62d89f18b7f90460e75e0d1a4ecbed800f8bea4ee80df7c1be58d","observation_id":"8814dc0a-7f8c-4db6-99c7-096c398ba5b6","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"MMSE of probabilistic low- rank matrix estimation: Universality with respect to the output channel,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:64e02d502c009b04a2776de31c07c3a2520f95440593ba46b082dbbb9a216617","observation_id":"7eaf43f1-31e4-4b84-848d-46ec72ceb32c","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Universality of approximate message passing algorithms,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:407a70882ff027cac39792803a876b826745145d69342dc625151857f5187c8c","observation_id":"14e9c146-63f2-455c-925f-7735620d4d1b","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Universality of approximate message passing with semirandom matrices,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:49b95dc3f507e41b3263de2424edfc4ede5bda5756f7d44e3d7af978080b5f51","observation_id":"8a96ba55-7464-4b07-839d-db6e22e0e683","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Universality of approximate message passing algorithms and tensor networks,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:a35eaafc049b476cacf69ddf956a21e68ff2294e2f3a5920cec49050df21652c","observation_id":"48c12f5b-b515-4dd3-ae19-6b51f3cb57ff","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Boucheron, G","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:f7f1d4c4f5fc83edd09f5707e953e6d057c6c2c55d8b2d20effedea9468ca6ee","observation_id":"484a59ae-645c-414c-b3dc-997eb0475228","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Talagrand,Upper and Lower Bounds for Stochastic Processes","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:e7fb437cfbb56361c4c5607c1648476b2e440adbb8b1322111b7ca7fe8a9b528","observation_id":"92abd02a-753d-445e-87c4-5ed6918830c5","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","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":"2026-06-28T23:51:24.791424Z","title":"Tail bounds via generic chaining,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-28T23:51:24.791424Z"},"links":{"citing_paper":"/paper/2605.30636"},"observation_digest":"sha256:32146ef2f5f5807ba7eb880dd72cac44f62df1ecf70fa4a6a32b73edfdd2a8d4","observation_id":"cc99f20a-663e-498c-813c-1eac97e1d6dd","resolution":{"observed_at":"2026-06-28T23:51:24.791424Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.30636","last_updated":"2026-05-28T22:38:19Z","latest_version":1,"primary_category":"math.ST","snapshot_observed_at":"2026-08-08T11:15:30.126611Z","submitted_at":"2026-05-28T22:38:19Z","title":"Free Energy Universality in Tensor Estimation via Generic Chaining"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":30},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2605.30636."}