{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NC3G6NOXPA3NNDKK3QZL2SEMDW","short_pith_number":"pith:NC3G6NOX","canonical_record":{"source":{"id":"1403.3955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-16T19:58:01Z","cross_cats_sorted":[],"title_canon_sha256":"d6d262745cec66567ed8e16b8116454298822de4355d7c53deeaa00258066d91","abstract_canon_sha256":"b1451673b283f329f2011c774d135992c019bd7b62b622c299e2f040d07fcf94"},"schema_version":"1.0"},"canonical_sha256":"68b66f35d77836d68d4adc32bd488c1da037d814b6bde507f5250415f9fa9944","source":{"kind":"arxiv","id":"1403.3955","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3955","created_at":"2026-05-18T02:56:13Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3955v1","created_at":"2026-05-18T02:56:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3955","created_at":"2026-05-18T02:56:13Z"},{"alias_kind":"pith_short_12","alias_value":"NC3G6NOXPA3N","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NC3G6NOXPA3NNDKK","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NC3G6NOX","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NC3G6NOXPA3NNDKK3QZL2SEMDW","target":"record","payload":{"canonical_record":{"source":{"id":"1403.3955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-16T19:58:01Z","cross_cats_sorted":[],"title_canon_sha256":"d6d262745cec66567ed8e16b8116454298822de4355d7c53deeaa00258066d91","abstract_canon_sha256":"b1451673b283f329f2011c774d135992c019bd7b62b622c299e2f040d07fcf94"},"schema_version":"1.0"},"canonical_sha256":"68b66f35d77836d68d4adc32bd488c1da037d814b6bde507f5250415f9fa9944","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:13.078261Z","signature_b64":"Rlluh9lNH2wILYSpRnY7cbXwjv9z4huBn+bgyE0h+IEZ55Ff8Bsal4TKcrFzGPL885hBAxbU4lmtYRMN26T7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68b66f35d77836d68d4adc32bd488c1da037d814b6bde507f5250415f9fa9944","last_reissued_at":"2026-05-18T02:56:13.077673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:13.077673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.3955","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":"2026-05-18T02:56:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ShxnYL3DJUaM4QFdXHkyGwzHy9lu8xaBpJSgEkq0iPwFf2cj6phzYtU3StMsBIX4sS+VHiCebaVBgBnOCOvXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:45:44.339665Z"},"content_sha256":"b67ad8b7ea59e3125595866b95ffad806c8a0ab7e6ffad54f0334d2679ba70d6","schema_version":"1.0","event_id":"sha256:b67ad8b7ea59e3125595866b95ffad806c8a0ab7e6ffad54f0334d2679ba70d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NC3G6NOXPA3NNDKK3QZL2SEMDW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On generalized resolvents and characteristic matrices of first-order symmetric systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Vadim Mogilevskii","submitted_at":"2014-03-16T19:58:01Z","abstract_excerpt":"We study general (not necessarily Hamiltonian) first-order symmetric system $J y'-B(t)y=\\D(t) f(t)$ on an interval $\\cI=[a,b) $ with the regular endpoint $a$ and singular endpoint $b$. It is assumed that the deficiency indices $n_\\pm(\\Tmi)$ of the corresponding minimal relation $\\Tmi$ in $\\LI$ satisfy $n_-(\\Tmi)\\leq n_+(\\Tmi)$. We describe all generalized resolvents $y=R(\\l)f, \\; f\\in\\LI,$ of $\\Tmi$ in terms of boundary problems with $\\l$-depending boundary conditions imposed on regular and singular boundary values of a function $y$ at the endpoints $a$ and $b$ respectively. We also parametriz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3955","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":"2026-05-18T02:56:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q0zJQXNmDJ62RD2JBtXWquqP7rC+eUIARi8zK5gXRytyMiBPYDc+ARvBTIA6Mi5RvNHSJDwNHq7IlAZEri8UBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:45:44.340017Z"},"content_sha256":"f7dc1cd4339186dd4be597f8279f9a1a622d76c1727afa2845f1b2af2007cb11","schema_version":"1.0","event_id":"sha256:f7dc1cd4339186dd4be597f8279f9a1a622d76c1727afa2845f1b2af2007cb11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NC3G6NOXPA3NNDKK3QZL2SEMDW/bundle.json","state_url":"https://pith.science/pith/NC3G6NOXPA3NNDKK3QZL2SEMDW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NC3G6NOXPA3NNDKK3QZL2SEMDW/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":"2026-06-22T22:45:44Z","links":{"resolver":"https://pith.science/pith/NC3G6NOXPA3NNDKK3QZL2SEMDW","bundle":"https://pith.science/pith/NC3G6NOXPA3NNDKK3QZL2SEMDW/bundle.json","state":"https://pith.science/pith/NC3G6NOXPA3NNDKK3QZL2SEMDW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NC3G6NOXPA3NNDKK3QZL2SEMDW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NC3G6NOXPA3NNDKK3QZL2SEMDW","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":"b1451673b283f329f2011c774d135992c019bd7b62b622c299e2f040d07fcf94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-16T19:58:01Z","title_canon_sha256":"d6d262745cec66567ed8e16b8116454298822de4355d7c53deeaa00258066d91"},"schema_version":"1.0","source":{"id":"1403.3955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3955","created_at":"2026-05-18T02:56:13Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3955v1","created_at":"2026-05-18T02:56:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3955","created_at":"2026-05-18T02:56:13Z"},{"alias_kind":"pith_short_12","alias_value":"NC3G6NOXPA3N","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NC3G6NOXPA3NNDKK","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NC3G6NOX","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:f7dc1cd4339186dd4be597f8279f9a1a622d76c1727afa2845f1b2af2007cb11","target":"graph","created_at":"2026-05-18T02:56:13Z","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":"We study general (not necessarily Hamiltonian) first-order symmetric system $J y'-B(t)y=\\D(t) f(t)$ on an interval $\\cI=[a,b) $ with the regular endpoint $a$ and singular endpoint $b$. It is assumed that the deficiency indices $n_\\pm(\\Tmi)$ of the corresponding minimal relation $\\Tmi$ in $\\LI$ satisfy $n_-(\\Tmi)\\leq n_+(\\Tmi)$. We describe all generalized resolvents $y=R(\\l)f, \\; f\\in\\LI,$ of $\\Tmi$ in terms of boundary problems with $\\l$-depending boundary conditions imposed on regular and singular boundary values of a function $y$ at the endpoints $a$ and $b$ respectively. We also parametriz","authors_text":"Vadim Mogilevskii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-16T19:58:01Z","title":"On generalized resolvents and characteristic matrices of first-order symmetric systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3955","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:b67ad8b7ea59e3125595866b95ffad806c8a0ab7e6ffad54f0334d2679ba70d6","target":"record","created_at":"2026-05-18T02:56:13Z","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":"b1451673b283f329f2011c774d135992c019bd7b62b622c299e2f040d07fcf94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-16T19:58:01Z","title_canon_sha256":"d6d262745cec66567ed8e16b8116454298822de4355d7c53deeaa00258066d91"},"schema_version":"1.0","source":{"id":"1403.3955","kind":"arxiv","version":1}},"canonical_sha256":"68b66f35d77836d68d4adc32bd488c1da037d814b6bde507f5250415f9fa9944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68b66f35d77836d68d4adc32bd488c1da037d814b6bde507f5250415f9fa9944","first_computed_at":"2026-05-18T02:56:13.077673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:13.077673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rlluh9lNH2wILYSpRnY7cbXwjv9z4huBn+bgyE0h+IEZ55Ff8Bsal4TKcrFzGPL885hBAxbU4lmtYRMN26T7Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:13.078261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.3955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b67ad8b7ea59e3125595866b95ffad806c8a0ab7e6ffad54f0334d2679ba70d6","sha256:f7dc1cd4339186dd4be597f8279f9a1a622d76c1727afa2845f1b2af2007cb11"],"state_sha256":"88be8c3af1ff301806c36ccf09eb76a61f416740514755af2a0ccb46008c06ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jzTXvRiv66tazNkKm7aeQ+5KJ7VJLGwf2kz4SJwudTPmA4rqb3bEyLMlV1QbLduDro2huPjg8/AwvspD2epMAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T22:45:44.341955Z","bundle_sha256":"9f7446f163bea8ac4bd93d315500deb6ce216f7a3152b43c990fe8d823b128a5"}}