{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YC7JFNHOOWPYIF3XZVVQARIFFU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"570df7119b0d36432b0cb2770754d41513a01f127bec57f2de9cde555b46f135","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AC","submitted_at":"2023-04-17T18:39:43Z","title_canon_sha256":"2de0e375cbc86555e60e293eb7ec5dac427636f8ef50332881ab0e5a200a4996"},"schema_version":"1.0","source":{"id":"2304.08550","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.08550","created_at":"2026-07-05T06:02:11Z"},{"alias_kind":"arxiv_version","alias_value":"2304.08550v1","created_at":"2026-07-05T06:02:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.08550","created_at":"2026-07-05T06:02:11Z"},{"alias_kind":"pith_short_12","alias_value":"YC7JFNHOOWPY","created_at":"2026-07-05T06:02:11Z"},{"alias_kind":"pith_short_16","alias_value":"YC7JFNHOOWPYIF3X","created_at":"2026-07-05T06:02:11Z"},{"alias_kind":"pith_short_8","alias_value":"YC7JFNHO","created_at":"2026-07-05T06:02:11Z"}],"graph_snapshots":[{"event_id":"sha256:eae3a0a7ea054c376bb420eaa8b8042d29e3963db5b86822e258d23d6e7d9bf6","target":"graph","created_at":"2026-07-05T06:02:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2304.08550/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we survey the progress in the problem of finding the maximum commuting nilpotent orbit that intersects the centralizer of a given nilpotent matrix.","authors_text":"Leila Khatami","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AC","submitted_at":"2023-04-17T18:39:43Z","title":"Commuting Jordan Types: a Survey"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.08550","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:21f7e7ed41274fe1f597fb756ae4f1cc08754873aa05bb1d482ab9ac17d5c993","target":"record","created_at":"2026-07-05T06:02:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"570df7119b0d36432b0cb2770754d41513a01f127bec57f2de9cde555b46f135","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AC","submitted_at":"2023-04-17T18:39:43Z","title_canon_sha256":"2de0e375cbc86555e60e293eb7ec5dac427636f8ef50332881ab0e5a200a4996"},"schema_version":"1.0","source":{"id":"2304.08550","kind":"arxiv","version":1}},"canonical_sha256":"c0be92b4ee759f841777cd6b0045052d0e5c3513044fc38478af484ade5d9379","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0be92b4ee759f841777cd6b0045052d0e5c3513044fc38478af484ade5d9379","first_computed_at":"2026-07-05T06:02:11.029465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:02:11.029465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4onAR63P93FsmiFHeungs8Sz376KU4FiKuaMSVHcZdgfnkJ5ms14HCATvWtyNJIouCbplqzz8taFd1hnFckWBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:02:11.029920Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.08550","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21f7e7ed41274fe1f597fb756ae4f1cc08754873aa05bb1d482ab9ac17d5c993","sha256:eae3a0a7ea054c376bb420eaa8b8042d29e3963db5b86822e258d23d6e7d9bf6"],"state_sha256":"172ce19dc81967e7de8068ad2f347b89891afeb699f4307d9f09d228c74b3c1a"}