{"as_of":"2026-08-14T15:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3c01bdf5eb274e467ecfa7d39478b50873b43a2f372904a9d1c4c9d08a35fa42","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T07:59:31.426206Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2607.27407/citation-record","integrity":"/paper/2607.27407/integrity","json":"/paper/2607.27407/citation-record.json","paper":"/paper/2607.27407"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2512.24864","doi":"10.48550/arxiv.2512.24864","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"On prime matrix product factorizations","venue":"arXiv (Cornell University)","work_id":"ad453419-b748-4703-9c74-5ff3b8356a1d","year":2025},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:29.756681Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:7e313cfe29e1db563fe2665d5b370defeefc9d29e08c44bdc5fb570729f1832f","observation_id":"1570ac73-2abf-4926-a2de-62fc41c8418f","resolution":{"observed_at":"2026-08-01T08:04:06.414544Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.laa.2025.01.005","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Spec- tral methods for matrix product factorization.Linear Algebra and its Applications, 709:111–123, 2025.doi:10.1016/j.laa.2025.01.005","venue":"Linear Algebra and its Applications","work_id":"3068cf3e-c8bd-4410-be02-5e0503e1fd4d","year":2025},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:29.826206Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:68f98091fc00cbe58f9c2dfb2cf503dbca050298b42d4f2783042cdb9aeea6f9","observation_id":"60de15c7-df2e-4b75-8899-dc897776d2eb","resolution":{"observed_at":"2026-08-01T08:04:06.311317Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/jcd.20112","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Commuting decompositions of complete graphs","venue":"Journal of Combinatorial Designs","work_id":"da189544-8bb3-456a-8f72-84a32056ac26","year":2007},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:29.957120Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:e8a252759728ee0da66550de657dcb6aee1e0af01bfe987de97d5afe987086b6","observation_id":"eab3e631-c01c-4979-a33e-2e86212d2974","resolution":{"observed_at":"2026-08-01T08:04:06.223484Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-01T07:59:30.068977Z","title":"Commutativity of the adjacency matrices of graphs.Discrete Mathematics, 309(3):595–600, 2009.doi:10","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:30.068977Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:b1cfd3255a02d9e9d60e56ce1a5432377ffcb29d8786846b4883a46053aba94f","observation_id":"85e77bda-c350-49c0-9a45-e1c34594088c","resolution":{"observed_at":"2026-08-01T07:59:30.068977Z","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":"10.17654/aadmjan2016_029_048","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T08:04:06.092109Z","title":"Arathi Bhat, K","venue":null,"work_id":"eb23609a-ac9d-44e5-8703-59260aab71fc","year":2016},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:30.220516Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:9a3a264b6751896ccdb521b058ebb9a5c15cc4f0f3108e300a078ae575a7f0b4","observation_id":"86c671ea-ac55-45a2-be4d-952b300ad618","resolution":{"observed_at":"2026-08-01T08:04:06.156206Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/spma-2018-0028","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Arathi Bhat and G","venue":"Special Matrices","work_id":"00ea42b0-05f7-4c34-b74a-243511eb46be","year":2018},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:30.333818Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:06538320f41a34d670bf5f81f0cca397d1ec9d65408e061f5a11d0c0fc2b6402","observation_id":"224df4c6-7ffb-4e81-ae45-c38243651e76","resolution":{"observed_at":"2026-08-01T08:04:06.081011Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s1793830921501597","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Arathi Bhat, G","venue":"Discrete Mathematics Algorithms and Applications","work_id":"d2bfa9a1-5986-4c12-94c4-64099f77f15b","year":2022},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:30.445007Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:0dda50a3cc087a2d41a64b523c7ba52f9f01e476cdb19f7c831c361205ff6ef6","observation_id":"cbac0d19-62b7-4c8c-a44c-73e835f7576e","resolution":{"observed_at":"2026-08-01T08:04:06.007388Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2512.17110","doi":"10.48550/arxiv.2512.17110","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Herman and Bobby Miraftab","venue":"arXiv (Cornell University)","work_id":"d1230fae-aeca-4c0b-9cae-292f4452da66","year":2025},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:30.558019Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:436cfa209d018897930780a00e8e669630f063b6d0e8c0b039fe049fd8930049","observation_id":"ef688b34-bb97-447b-8288-5d94190b7598","resolution":{"observed_at":"2026-08-01T08:04:05.904296Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.14848","last_updated":"2026-07-16T11:16:08Z","snapshot_observed_at":"2026-08-05T04:36:39.699102Z","submitted_at":"2026-07-16T11:16:08Z","title":"On Matrix Product Factorization in Association Schemes","version":1},"cited_work":{"arxiv_id":"2607.14848","doi":"10.48550/arxiv.2607.14848","metadata_source":"pith","pith_arxiv_id":"2607.14848","snapshot_observed_at":"2026-08-01T12:16:17.934468Z","title":"On Matrix Product Factorization in Association Schemes","venue":"math.CO","work_id":"95a0f1cd-7dc6-43c5-8e33-ed6066466b7e","year":2026},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:30.674136Z"},"links":{"cited_paper":"/paper/2607.14848","citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:86a3d950c2407d0af2c64877cc27bbc8c55448bb96c6f104150bb9e96cba58d0","observation_id":"0a778e1e-e167-4e75-af33-fdc63ab5ec03","resolution":{"observed_at":"2026-08-01T08:04:05.782680Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.08615","last_updated":"2023-12-14T02:38:31Z","snapshot_observed_at":"2026-08-14T08:10:07.800027Z","submitted_at":"2023-12-14T02:38:31Z","title":"On Matrix Product Factorization of graphs","version":1},"cited_work":{"arxiv_id":"2312.08615","doi":"10.48550/arxiv.2312.08615","metadata_source":"pith","pith_arxiv_id":"2312.08615","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"On Matrix Product Factorization of graphs","venue":"math.CO","work_id":"58abadf1-3a7d-4c42-873a-36f66a95441b","year":2023},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:30.796056Z"},"links":{"cited_paper":"/paper/2312.08615","citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:b3fe6e8a6675501be59b32839403d0e04787d7f812d46e3083114fb53a0d7c0d","observation_id":"70535468-829f-4c16-80e7-385710742711","resolution":{"observed_at":"2026-08-01T08:04:05.668928Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-01T07:59:30.912531Z","title":"On the factorability of infinite graphs.Linear Algebra and its Applications, 728:409–418, 2026.doi:10.1016/j.laa","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:30.912531Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:dd8e5b6301ccc963791fafa6c07272f282fc20ed41fa09b3e2a2b6f0beb8a04f","observation_id":"4c30b622-d151-4b27-9a22-180efd4982c9","resolution":{"observed_at":"2026-08-01T07:59:30.912531Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s13226-014-0093-4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Manjunatha Prasad, G","venue":"Indian Journal of Pure and Applied Mathematics","work_id":"70115b67-3017-4352-9d76-af5ecf24ff9a","year":2014},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:31.028752Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:93cc2f04e361540411014cd05ccb3cb86ef8cd9cdfe997c0081ab952420dca7b","observation_id":"a1e8b636-ec53-4341-b37f-507b3757b82c","resolution":{"observed_at":"2026-08-01T08:04:05.552389Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-81-322-1053-5_4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Manjunatha Prasad, G","venue":null,"work_id":"c352c1c1-e0a2-45a1-a7b2-76895779eb82","year":2013},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:31.151218Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:f7766f6baf2074c871afece8d57ffde2baef57044ea2b42433f4672b955d238b","observation_id":"bd0da9fb-b4a7-49a2-b954-2165fd10e8bd","resolution":{"observed_at":"2026-08-01T08:04:05.359417Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-01T07:59:31.276929Z","title":"On a construction using commuting regular graphs.Discrete Mathematics, 340(3):532–540, 2017.doi:10.1016/j.disc","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:31.276929Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:3e3f6510655e59171840f099f9e825c8c173341089017ecdd8d3c03710985a2f","observation_id":"c338c34a-2dd1-4bd1-b440-4580b40bb337","resolution":{"observed_at":"2026-08-01T07:59:31.276929Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-981-99-2310-6_17","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Sudhakara, Vinay Madhusudanan, and K","venue":"Indian statistical institute series","work_id":"3e997e53-cc20-4ae3-bb1c-e3890b5363cf","year":2023},"citing_paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:31.426206Z"},"links":{"citing_paper":"/paper/2607.27407"},"observation_digest":"sha256:2984c39b2e6977f56307c8ceda65ea1c7e66fa9d5eae1708d197571528459ebf","observation_id":"936f9a56-2fa5-4bd9-903e-789fafc04a9c","resolution":{"observed_at":"2026-08-01T08:04:05.252516Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.27407","last_updated":"2026-07-29T19:25:10Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-13T22:55:48.334749Z","submitted_at":"2026-07-29T19:25:10Z","title":"On $\\varepsilon$-Matrix Product Factorization of graphs"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":2,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":1,"verified_exact":11,"verified_fuzzy":0},"total_outbound_references":15},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.27407."}