{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2OCO73ZZKFHQ27WQ5VJPXUEC5T","short_pith_number":"pith:2OCO73ZZ","canonical_record":{"source":{"id":"1404.6820","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-27T20:21:11Z","cross_cats_sorted":[],"title_canon_sha256":"a84b6249567f5da5ee91a4514115e72b773198b8b4452409ddf3f5d8ab803b8a","abstract_canon_sha256":"cea0f1f5fa604b89132b9186e0e6c324af775b8d89f4ec381bbb0536adfc0a55"},"schema_version":"1.0"},"canonical_sha256":"d384efef39514f0d7ed0ed52fbd082ecfec47a7b803008218b261ce3f670c16d","source":{"kind":"arxiv","id":"1404.6820","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6820","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6820v2","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6820","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"2OCO73ZZKFHQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2OCO73ZZKFHQ27WQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2OCO73ZZ","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2OCO73ZZKFHQ27WQ5VJPXUEC5T","target":"record","payload":{"canonical_record":{"source":{"id":"1404.6820","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-27T20:21:11Z","cross_cats_sorted":[],"title_canon_sha256":"a84b6249567f5da5ee91a4514115e72b773198b8b4452409ddf3f5d8ab803b8a","abstract_canon_sha256":"cea0f1f5fa604b89132b9186e0e6c324af775b8d89f4ec381bbb0536adfc0a55"},"schema_version":"1.0"},"canonical_sha256":"d384efef39514f0d7ed0ed52fbd082ecfec47a7b803008218b261ce3f670c16d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:06.188646Z","signature_b64":"nM405qioipub9y1X6lYco+P1mq3POqKEE/SAXN5e5vwiyHLGHBrBn/xrb7t+S+qAU4457GvZ4HlLs6lTYnvVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d384efef39514f0d7ed0ed52fbd082ecfec47a7b803008218b261ce3f670c16d","last_reissued_at":"2026-05-18T02:32:06.188256Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:06.188256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.6820","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"01cKgN8C5pXpskqyzXBLGhtDUp72feSCsU/WTsHq3+qOcXyxveLNJUcj2Pym3PCokmKsiIzl6xu1/NuHAvwJBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:47:02.516778Z"},"content_sha256":"86e7f46b1052ba63e4a7aa76b39e1921de94215484cc28c605aa24d1e84aa727","schema_version":"1.0","event_id":"sha256:86e7f46b1052ba63e4a7aa76b39e1921de94215484cc28c605aa24d1e84aa727"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2OCO73ZZKFHQ27WQ5VJPXUEC5T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An abstract inverse problem for boundary triples with an application to the Friedrichs Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"B. M. Brown, I. G. Wood, M. Marletta, S. N. Naboko","submitted_at":"2014-04-27T20:21:11Z","abstract_excerpt":"We discuss the detectable subspaces of an operator. We analyse the relation between the M-function (the abstract Dirichlet to Neumann map) and the resolvent bordered by projections onto the detectable subspaces. The abstract results are explored further by an extensive study of the Friedrichs model, together with illustrative applications to the Schroedinger and Hain-Luest-type models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6820","kind":"arxiv","version":2},"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":"2026-05-18T02:32:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZElJcRLirHK+Op/XjXMRSOXhcRb8MvvJUcYBVbLtXTEp/ULCGxnUeEBaWFaaK7xWApvr0F34H3BkuYP9r4V4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:47:02.517332Z"},"content_sha256":"a81075cd0867bcd28ada7bd7e7c6572e8becc98f0e3c314347b5cf64aaf6d9b8","schema_version":"1.0","event_id":"sha256:a81075cd0867bcd28ada7bd7e7c6572e8becc98f0e3c314347b5cf64aaf6d9b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2OCO73ZZKFHQ27WQ5VJPXUEC5T/bundle.json","state_url":"https://pith.science/pith/2OCO73ZZKFHQ27WQ5VJPXUEC5T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2OCO73ZZKFHQ27WQ5VJPXUEC5T/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":"2026-06-24T11:47:02Z","links":{"resolver":"https://pith.science/pith/2OCO73ZZKFHQ27WQ5VJPXUEC5T","bundle":"https://pith.science/pith/2OCO73ZZKFHQ27WQ5VJPXUEC5T/bundle.json","state":"https://pith.science/pith/2OCO73ZZKFHQ27WQ5VJPXUEC5T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2OCO73ZZKFHQ27WQ5VJPXUEC5T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2OCO73ZZKFHQ27WQ5VJPXUEC5T","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":"cea0f1f5fa604b89132b9186e0e6c324af775b8d89f4ec381bbb0536adfc0a55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-27T20:21:11Z","title_canon_sha256":"a84b6249567f5da5ee91a4514115e72b773198b8b4452409ddf3f5d8ab803b8a"},"schema_version":"1.0","source":{"id":"1404.6820","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6820","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6820v2","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6820","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"2OCO73ZZKFHQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2OCO73ZZKFHQ27WQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2OCO73ZZ","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:a81075cd0867bcd28ada7bd7e7c6572e8becc98f0e3c314347b5cf64aaf6d9b8","target":"graph","created_at":"2026-05-18T02:32:06Z","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 discuss the detectable subspaces of an operator. We analyse the relation between the M-function (the abstract Dirichlet to Neumann map) and the resolvent bordered by projections onto the detectable subspaces. The abstract results are explored further by an extensive study of the Friedrichs model, together with illustrative applications to the Schroedinger and Hain-Luest-type models.","authors_text":"B. M. Brown, I. G. Wood, M. Marletta, S. N. Naboko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-27T20:21:11Z","title":"An abstract inverse problem for boundary triples with an application to the Friedrichs Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6820","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":"sha256:86e7f46b1052ba63e4a7aa76b39e1921de94215484cc28c605aa24d1e84aa727","target":"record","created_at":"2026-05-18T02:32:06Z","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":"cea0f1f5fa604b89132b9186e0e6c324af775b8d89f4ec381bbb0536adfc0a55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-27T20:21:11Z","title_canon_sha256":"a84b6249567f5da5ee91a4514115e72b773198b8b4452409ddf3f5d8ab803b8a"},"schema_version":"1.0","source":{"id":"1404.6820","kind":"arxiv","version":2}},"canonical_sha256":"d384efef39514f0d7ed0ed52fbd082ecfec47a7b803008218b261ce3f670c16d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d384efef39514f0d7ed0ed52fbd082ecfec47a7b803008218b261ce3f670c16d","first_computed_at":"2026-05-18T02:32:06.188256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:06.188256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nM405qioipub9y1X6lYco+P1mq3POqKEE/SAXN5e5vwiyHLGHBrBn/xrb7t+S+qAU4457GvZ4HlLs6lTYnvVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:06.188646Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6820","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86e7f46b1052ba63e4a7aa76b39e1921de94215484cc28c605aa24d1e84aa727","sha256:a81075cd0867bcd28ada7bd7e7c6572e8becc98f0e3c314347b5cf64aaf6d9b8"],"state_sha256":"1c419ea523af84c63a604565cc154f195a76e0d9c91c85d794df984c2dcd0ab0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6IAQEajNvw+bY0ToPqQ9qEilalqZsmKFaVs+uNCa5r3X0n8ebYz8EuQUP+zglXBF7t7+IY8RIkOfA1uH08SGBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T11:47:02.519919Z","bundle_sha256":"dcf9970f3100803b49d6c48f629880ea0d12ed1330f1e8f6d973eeba2c003783"}}