{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GSH222WXHKESHEDJ5WBBGRBMTM","short_pith_number":"pith:GSH222WX","canonical_record":{"source":{"id":"1604.03170","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-04-11T22:44:22Z","cross_cats_sorted":[],"title_canon_sha256":"03765262570a33e92d482b2dda8394fe49cbdbf66e192808b5da03f614bbbc59","abstract_canon_sha256":"9d75dc627011fe1f35aab22b85a8bc6aa46e1976cbe621e3550d93411d33c748"},"schema_version":"1.0"},"canonical_sha256":"348fad6ad73a89239069ed8213442c9b16aeee9cb23a5bc2914c21894bd438a9","source":{"kind":"arxiv","id":"1604.03170","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03170","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03170v1","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03170","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"pith_short_12","alias_value":"GSH222WXHKES","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GSH222WXHKESHEDJ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GSH222WX","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GSH222WXHKESHEDJ5WBBGRBMTM","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03170","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-04-11T22:44:22Z","cross_cats_sorted":[],"title_canon_sha256":"03765262570a33e92d482b2dda8394fe49cbdbf66e192808b5da03f614bbbc59","abstract_canon_sha256":"9d75dc627011fe1f35aab22b85a8bc6aa46e1976cbe621e3550d93411d33c748"},"schema_version":"1.0"},"canonical_sha256":"348fad6ad73a89239069ed8213442c9b16aeee9cb23a5bc2914c21894bd438a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:16.275612Z","signature_b64":"w9XHHLmC9/NhfbgysRVnqXD2vlTwVh2659rPbqKZGEzAjQD02X23b3Da9JJHWR/mWL06/JltIdVbaGrfMbhrCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"348fad6ad73a89239069ed8213442c9b16aeee9cb23a5bc2914c21894bd438a9","last_reissued_at":"2026-05-18T01:17:16.274810Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:16.274810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03170","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6lrE1cbP1NverWtfHNOsdsSbZuzw5x0u1zQ7xZDL6EgHQtV+muHtZw7iiZ4M0lwOCYM3gLB8LOMP4Rj68KrtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:18:25.907022Z"},"content_sha256":"993c0ea2d1818e68e02fa62f020c4f86442aea2da6dbe8f8a2bb33e3d53df253","schema_version":"1.0","event_id":"sha256:993c0ea2d1818e68e02fa62f020c4f86442aea2da6dbe8f8a2bb33e3d53df253"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GSH222WXHKESHEDJ5WBBGRBMTM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Selfadjoint and $m$ sectorial extensions of Sturm-Liouville operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"B.M. Brown, W.D. Evans","submitted_at":"2016-04-11T22:44:22Z","abstract_excerpt":"The self-adjoint and $m$-sectorial extensions of coercive Sturm-Liouville operators are characterised, under minimal smoothness conditions on the coefficients of the differential expression."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03170","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IF1rEb+oFyQyfw5cOdqSu5GYXzaGLc8fvSV9lpRI/FKTCemWMwITc1oy6N94i59X8yF2gnXSIMF9SUu5C2QxBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:18:25.907376Z"},"content_sha256":"1b56d6852585cc7c9ddc9b1a3e654aa6068f6f5d2a2a81a3b5c27c05fa4fc800","schema_version":"1.0","event_id":"sha256:1b56d6852585cc7c9ddc9b1a3e654aa6068f6f5d2a2a81a3b5c27c05fa4fc800"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GSH222WXHKESHEDJ5WBBGRBMTM/bundle.json","state_url":"https://pith.science/pith/GSH222WXHKESHEDJ5WBBGRBMTM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GSH222WXHKESHEDJ5WBBGRBMTM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T04:18:25Z","links":{"resolver":"https://pith.science/pith/GSH222WXHKESHEDJ5WBBGRBMTM","bundle":"https://pith.science/pith/GSH222WXHKESHEDJ5WBBGRBMTM/bundle.json","state":"https://pith.science/pith/GSH222WXHKESHEDJ5WBBGRBMTM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GSH222WXHKESHEDJ5WBBGRBMTM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GSH222WXHKESHEDJ5WBBGRBMTM","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":"9d75dc627011fe1f35aab22b85a8bc6aa46e1976cbe621e3550d93411d33c748","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-04-11T22:44:22Z","title_canon_sha256":"03765262570a33e92d482b2dda8394fe49cbdbf66e192808b5da03f614bbbc59"},"schema_version":"1.0","source":{"id":"1604.03170","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03170","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03170v1","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03170","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"pith_short_12","alias_value":"GSH222WXHKES","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GSH222WXHKESHEDJ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GSH222WX","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:1b56d6852585cc7c9ddc9b1a3e654aa6068f6f5d2a2a81a3b5c27c05fa4fc800","target":"graph","created_at":"2026-05-18T01:17:16Z","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"},"paper":{"abstract_excerpt":"The self-adjoint and $m$-sectorial extensions of coercive Sturm-Liouville operators are characterised, under minimal smoothness conditions on the coefficients of the differential expression.","authors_text":"B.M. Brown, W.D. Evans","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-04-11T22:44:22Z","title":"Selfadjoint and $m$ sectorial extensions of Sturm-Liouville operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03170","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":"sha256:993c0ea2d1818e68e02fa62f020c4f86442aea2da6dbe8f8a2bb33e3d53df253","target":"record","created_at":"2026-05-18T01:17:16Z","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":"9d75dc627011fe1f35aab22b85a8bc6aa46e1976cbe621e3550d93411d33c748","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-04-11T22:44:22Z","title_canon_sha256":"03765262570a33e92d482b2dda8394fe49cbdbf66e192808b5da03f614bbbc59"},"schema_version":"1.0","source":{"id":"1604.03170","kind":"arxiv","version":1}},"canonical_sha256":"348fad6ad73a89239069ed8213442c9b16aeee9cb23a5bc2914c21894bd438a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"348fad6ad73a89239069ed8213442c9b16aeee9cb23a5bc2914c21894bd438a9","first_computed_at":"2026-05-18T01:17:16.274810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:16.274810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w9XHHLmC9/NhfbgysRVnqXD2vlTwVh2659rPbqKZGEzAjQD02X23b3Da9JJHWR/mWL06/JltIdVbaGrfMbhrCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:16.275612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03170","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:993c0ea2d1818e68e02fa62f020c4f86442aea2da6dbe8f8a2bb33e3d53df253","sha256:1b56d6852585cc7c9ddc9b1a3e654aa6068f6f5d2a2a81a3b5c27c05fa4fc800"],"state_sha256":"5d8094b94a6d7a6e07745a46c1c89cf3b5778ba193d54c56d4c5e2d731fd220c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RLxcKPIRshu93NW6WIGr+jk0VCdaISN7kf7izo+fVT0tSj4YfDkRjXxHXgtbJPix8hHIqWLITn2l+aMx0NrwBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T04:18:25.909253Z","bundle_sha256":"08735128402e53f0b32941c869bda7259ab8a1332595b8576653bd3626fbe17c"}}