{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZQ3IEUFHQ2FHPJMMSZ6OTWAUG2","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":"d6677d21e14b573763497286cfcdb4e766503937d4f89c9e5dff15e64636a335","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-11-13T16:49:27Z","title_canon_sha256":"614e9319191a01cadd0480b76b8846285c07f7b1038626fb90ada9e6f6683263"},"schema_version":"1.0","source":{"id":"2511.10483","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.10483","created_at":"2026-08-03T01:26:55Z"},{"alias_kind":"arxiv_version","alias_value":"2511.10483v2","created_at":"2026-08-03T01:26:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.10483","created_at":"2026-08-03T01:26:55Z"},{"alias_kind":"pith_short_12","alias_value":"ZQ3IEUFHQ2FH","created_at":"2026-08-03T01:26:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZQ3IEUFHQ2FHPJMM","created_at":"2026-08-03T01:26:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZQ3IEUFH","created_at":"2026-08-03T01:26:55Z"}],"graph_snapshots":[{"event_id":"sha256:523d74ad4824f0bdf4544a2bbcfbea2758c98ad8e318a1ba5fa61f903df39c60","target":"graph","created_at":"2026-08-03T01:26:55Z","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/2511.10483/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work introduces a novel dissimilarity measure between two convex cones, based on the max-min angle between them. We demonstrate that this measure is closely related to the Pompeiu-Hausdorff distance, a well-established metric for comparing compact sets. Furthermore, we examine cone configurations where the measure admits simplified or analytic forms. For the specific case of polyhedral cones, a nonconvex cutting-plane method is deployed to compute, at least approximately, the measure between them. Our approach builds on a tailored version of Kelley's cutting-plane algorithm, which involve","authors_text":"David Sossa, Valentina Sessa, Welington de Oliveira","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-11-13T16:49:27Z","title":"Measuring dissimilarity between convex cones by means of max-min angles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.10483","kind":"arxiv","version":2},"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:a5f6ce634e3d0041c3d9eaf888c58bec8d6bb20649c11666eb547aca8fcd1235","target":"record","created_at":"2026-08-03T01:26:55Z","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":"d6677d21e14b573763497286cfcdb4e766503937d4f89c9e5dff15e64636a335","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-11-13T16:49:27Z","title_canon_sha256":"614e9319191a01cadd0480b76b8846285c07f7b1038626fb90ada9e6f6683263"},"schema_version":"1.0","source":{"id":"2511.10483","kind":"arxiv","version":2}},"canonical_sha256":"cc368250a7868a77a58c967ce9d814369404ad918a6a133ddfe4ca50b4dddf5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc368250a7868a77a58c967ce9d814369404ad918a6a133ddfe4ca50b4dddf5e","first_computed_at":"2026-08-03T01:26:55.866489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-03T01:26:55.866489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"inqtmZk9jtxry3f4QTMNxeg1zwU1nXB+88h5TGNAQvaZvG6v1cm0KKMsIR8vitOrTbtBikj5/jSolCcut7/gDg==","signature_status":"signed_v1","signed_at":"2026-08-03T01:26:55.868329Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.10483","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5f6ce634e3d0041c3d9eaf888c58bec8d6bb20649c11666eb547aca8fcd1235","sha256:523d74ad4824f0bdf4544a2bbcfbea2758c98ad8e318a1ba5fa61f903df39c60"],"state_sha256":"0e42daa2cc335006e1c492c48594984bfe45b539350b3b4f8402b7bafda3a788"}