{"as_of":"2026-07-25T03:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aefaf888a5bc2df6f8a534e97892eb6d76d8ec072e7755e05cabfbc67bf9623a","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":"2026-07-10T12:51:42.483264Z","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":"2026-07-24T06:31:00.690269+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/2607.08113/citation-record","integrity":"/paper/2607.08113/integrity","json":"/paper/2607.08113/citation-record.json","paper":"/paper/2607.08113"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.817553Z","title":"Nayak, H","venue":null,"work_id":"8c87e073-2893-4e21-8b53-ab2feff336cd","year":2026},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:e2eeec664af4ff908fb6fee87a46712b7c27462befcf1341f62012bc18abe1b9","observation_id":"8fbbeb8d-1b0a-4ed1-9b5a-aeab1c058eb0","resolution":{"observed_at":"2026-07-10T12:57:07.818647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.820763Z","title":"Lim,Singular values and eigenvalues of tensors: a variational approach, in 1st IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2005, pp","venue":null,"work_id":"c7566f16-6e9c-4631-b066-54d6c8a6feb4","year":2005},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:59385a0e9904596afac336b7471be3bea96d6c5bd3644db16a24a425ba9ee8a8","observation_id":"ed888c6d-373e-4f81-b15f-4c823f8fea79","resolution":{"observed_at":"2026-07-10T12:57:07.822132Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.803053Z","title":"Qi,Eigenvalues of a real supersymmetric tensor, J","venue":null,"work_id":"94d1a602-b348-451d-bd3c-abe48229c098","year":2005},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:edbeb08db0d948eba17056f937511df3f3189351daac7be90bbaa875f46961f9","observation_id":"8aa94d6b-d649-42b0-aace-b95191802de8","resolution":{"observed_at":"2026-07-10T12:57:07.804223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.824238Z","title":null,"venue":null,"work_id":"73fb760e-d13b-46a1-8567-dbf70926c9e4","year":2010},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:81baed587012b0477e0e0be5c93e1c6202dbf3d753fdbc5e218351d68ca43457","observation_id":"ebfa43a4-6bb9-4b7f-938c-25101ce825f2","resolution":{"observed_at":"2026-07-10T12:57:07.825457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.822694Z","title":null,"venue":null,"work_id":"d3d48112-5999-420b-a325-5bc8f03bd672","year":2008},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:84f4a9d60299d001ec234a059179d43e655446ecc66e630c8bbd6829484a7f4a","observation_id":"c40a359a-ef13-44de-b716-1c8656de8030","resolution":{"observed_at":"2026-07-10T12:57:07.823738Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.812761Z","title":"Hu, Z.-H","venue":null,"work_id":"49b979d4-2d65-452a-9781-e55c8e718d90","year":2013},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:38d3b84753c5a6579717bcf4a9bc1620f56aea9028148550be4f8f185a81d590","observation_id":"b505c8bf-debd-4d85-a1d8-4056d3dcf2d4","resolution":{"observed_at":"2026-07-10T12:57:07.813818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.826231Z","title":"Zhang, G","venue":null,"work_id":"906e2c48-6579-49e6-9af6-e5a31fa50133","year":2001},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:f77ae1b17c7bceb996ab645ab39811baf2f69abeab778b62df3cb0b3c845bb1c","observation_id":"781c054b-2b3e-47d5-87cc-4d85587cc56f","resolution":{"observed_at":"2026-07-10T12:57:07.827365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.804759Z","title":null,"venue":null,"work_id":"8ce407e5-401f-497f-8cc4-9ec6067c8ba9","year":1997},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:aaad03d93ec3acd89eeebe814e973bf8fe603b96f374eca17819322690e52219","observation_id":"fce03e62-3091-4b54-b82d-a7b162d2bf01","resolution":{"observed_at":"2026-07-10T12:57:07.805791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.815945Z","title":"Wolkowicz, G","venue":null,"work_id":"bd104c02-5174-4d5c-9bcf-01a24bc2e52b","year":1980},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:f602873f2b8638dd7cd038e6f98187b8f02883bba1c12f4dc18b2eab3e7246a2","observation_id":"2ae7a9c6-3e8c-4532-afa1-1c90e2670ac0","resolution":{"observed_at":"2026-07-10T12:57:07.817021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.809604Z","title":"Shao, H.-Y","venue":null,"work_id":"eb47c011-aee4-4479-990f-f92296c2c8fd","year":2013},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:d22793ffa5ef6321b50db9cc0499487d84a8b48489e83151b9718174cd1035bd","observation_id":"b191220d-fc58-4f9e-94e1-4b5016754ab8","resolution":{"observed_at":"2026-07-10T12:57:07.810657Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.819182Z","title":null,"venue":null,"work_id":"95d14c55-f69a-4e33-934b-25fa4429e7d1","year":2018},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:42a763649e07c8965aa2270b4ecd1144f09435ad4d9928a5040d7236216b81c9","observation_id":"df736817-a740-4810-97c9-a9e7ff80dc18","resolution":{"observed_at":"2026-07-10T12:57:07.820226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.801410Z","title":"Cooper, A","venue":null,"work_id":"10651226-7920-4bb1-9785-86e0ad726e40","year":2012},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:390b33f968d971dee99d49ce80f3e6bd1503bb49da5ef81dba4d7e96cc6ae3ae","observation_id":"b5b78942-126a-4030-ab7f-876cefb8e3d6","resolution":{"observed_at":"2026-07-10T12:57:07.802494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.814360Z","title":null,"venue":null,"work_id":"56b9806c-3a6c-4c12-b8a0-12fcabaec4c9","year":2014},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:7ef805bc6dbc2b82065ce817b04ec0aca44f96dc058b255c16aebf20aeb46f2c","observation_id":"edc8ba15-de50-4544-b933-394fe1e17337","resolution":{"observed_at":"2026-07-10T12:57:07.815414Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.807970Z","title":null,"venue":null,"work_id":"517413b8-47dc-477e-a9a2-2dec64f8018c","year":2014},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:c98241d009954b855d09d48a6ccf824ed525e514b4792aed59e154c1cb7ad021","observation_id":"03afc6dd-754c-4f3f-8541-1353a5e470ee","resolution":{"observed_at":"2026-07-10T12:57:07.809026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.811168Z","title":null,"venue":null,"work_id":"6fc93b9a-df47-4573-9360-addd5e48e114","year":2008},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:d39a87607e8667d30fe994c3653651de84c52e7753102ca520b4df357791fc46","observation_id":"54cb4e8a-3ad3-49e6-86c2-993b3ece19d8","resolution":{"observed_at":"2026-07-10T12:57:07.812209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:57:07.806364Z","title":null,"venue":null,"work_id":"79fdff55-1899-46a9-b9c2-a0156eb0b02e","year":2011},"citing_paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-10T12:51:42.483264Z"},"links":{"citing_paper":"/paper/2607.08113"},"observation_digest":"sha256:97f482a62d221467d2b84cffe7002654fae2b88bf6e30c3db45852152bc93825","observation_id":"78810b8a-22e5-4b6d-b185-b51767b4beed","resolution":{"observed_at":"2026-07-10T12:57:07.807433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.08113","last_updated":"2026-07-09T05:02:44Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-07-12T23:18:18.651660Z","submitted_at":"2026-07-09T05:02:44Z","title":"Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":16},"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":"2026-07-24T06:31:00.690269+00:00","source":"crossref"},{"observed_at":"2026-07-24T06:30:55.483554+00:00","source":"retraction_watch"}],"thesis":"As of 25 July 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.08113."}