{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:ASFRMDOSCEYCZMEF4NIPX5AZWO","short_pith_number":"pith:ASFRMDOS","canonical_record":{"source":{"id":"0909.4001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-09-22T14:02:59Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"da61e5b8dca3eabc739552112f42f529e957d2220875b8e5fc80c2132e059b45","abstract_canon_sha256":"332d8c591840dae1dd21ab897fe20222eaac3c56c41038b63acec2fd9a72d5ea"},"schema_version":"1.0"},"canonical_sha256":"048b160dd211302cb085e350fbf419b3b11f23a8e2b25d2fee1a75edced772a3","source":{"kind":"arxiv","id":"0909.4001","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.4001","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"arxiv_version","alias_value":"0909.4001v2","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4001","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"pith_short_12","alias_value":"ASFRMDOSCEYC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"ASFRMDOSCEYCZMEF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"ASFRMDOS","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:ASFRMDOSCEYCZMEF4NIPX5AZWO","target":"record","payload":{"canonical_record":{"source":{"id":"0909.4001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-09-22T14:02:59Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"da61e5b8dca3eabc739552112f42f529e957d2220875b8e5fc80c2132e059b45","abstract_canon_sha256":"332d8c591840dae1dd21ab897fe20222eaac3c56c41038b63acec2fd9a72d5ea"},"schema_version":"1.0"},"canonical_sha256":"048b160dd211302cb085e350fbf419b3b11f23a8e2b25d2fee1a75edced772a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:44.920813Z","signature_b64":"oa6fcM3nRojmV3H5miU0/bWLH+MtDMCbVcpPMzr4SnT0QfeK6YvLa7QgWryr3M8QAfnjUj/0l/xK3l/TODrBDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"048b160dd211302cb085e350fbf419b3b11f23a8e2b25d2fee1a75edced772a3","last_reissued_at":"2026-05-18T04:08:44.920100Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:44.920100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.4001","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":"2026-05-18T04:08:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CBorArBewOZAX2l3jBIsF+4Lmuq8diesgr27RqJ2MimqvEHKD3Q+4aMTEMX0si3662YNrScH5cCUmpvzNEVUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:12:02.579349Z"},"content_sha256":"aaf7b2ebe417f661178cfa860fc33c03f730180b4948e0d223e3700bf59ad76b","schema_version":"1.0","event_id":"sha256:aaf7b2ebe417f661178cfa860fc33c03f730180b4948e0d223e3700bf59ad76b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:ASFRMDOSCEYCZMEF4NIPX5AZWO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An inverse problem for a hyperbolic system on a vector bundle and energy measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Katsiaryna Krupchyk, Matti Lassas","submitted_at":"2009-09-22T14:02:59Z","abstract_excerpt":"A uniqueness result in the inverse problem for an inhomogeneous hyperbolic system on a real vector bundle over a smooth compact manifold, based on energy measurements for improperly known sources, is established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4001","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":"2026-05-18T04:08:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G+GiYYmnXto+8gW67CPKRmAtsllVecSqQsESewIdMRvS0ZKCx0e7CHpBoDuHDydroZVl6Q/cMNwO0z+dnVxgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:12:02.579700Z"},"content_sha256":"d153ea1f3b9baeedc295efbf50d19de2b82ade5368fee19ba55acce5c6b5b872","schema_version":"1.0","event_id":"sha256:d153ea1f3b9baeedc295efbf50d19de2b82ade5368fee19ba55acce5c6b5b872"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ASFRMDOSCEYCZMEF4NIPX5AZWO/bundle.json","state_url":"https://pith.science/pith/ASFRMDOSCEYCZMEF4NIPX5AZWO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ASFRMDOSCEYCZMEF4NIPX5AZWO/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":"2026-07-01T02:12:02Z","links":{"resolver":"https://pith.science/pith/ASFRMDOSCEYCZMEF4NIPX5AZWO","bundle":"https://pith.science/pith/ASFRMDOSCEYCZMEF4NIPX5AZWO/bundle.json","state":"https://pith.science/pith/ASFRMDOSCEYCZMEF4NIPX5AZWO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ASFRMDOSCEYCZMEF4NIPX5AZWO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ASFRMDOSCEYCZMEF4NIPX5AZWO","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":"332d8c591840dae1dd21ab897fe20222eaac3c56c41038b63acec2fd9a72d5ea","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-09-22T14:02:59Z","title_canon_sha256":"da61e5b8dca3eabc739552112f42f529e957d2220875b8e5fc80c2132e059b45"},"schema_version":"1.0","source":{"id":"0909.4001","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.4001","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"arxiv_version","alias_value":"0909.4001v2","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4001","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"pith_short_12","alias_value":"ASFRMDOSCEYC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"ASFRMDOSCEYCZMEF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"ASFRMDOS","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:d153ea1f3b9baeedc295efbf50d19de2b82ade5368fee19ba55acce5c6b5b872","target":"graph","created_at":"2026-05-18T04:08:44Z","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":"A uniqueness result in the inverse problem for an inhomogeneous hyperbolic system on a real vector bundle over a smooth compact manifold, based on energy measurements for improperly known sources, is established.","authors_text":"Katsiaryna Krupchyk, Matti Lassas","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-09-22T14:02:59Z","title":"An inverse problem for a hyperbolic system on a vector bundle and energy measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4001","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:aaf7b2ebe417f661178cfa860fc33c03f730180b4948e0d223e3700bf59ad76b","target":"record","created_at":"2026-05-18T04:08:44Z","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":"332d8c591840dae1dd21ab897fe20222eaac3c56c41038b63acec2fd9a72d5ea","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-09-22T14:02:59Z","title_canon_sha256":"da61e5b8dca3eabc739552112f42f529e957d2220875b8e5fc80c2132e059b45"},"schema_version":"1.0","source":{"id":"0909.4001","kind":"arxiv","version":2}},"canonical_sha256":"048b160dd211302cb085e350fbf419b3b11f23a8e2b25d2fee1a75edced772a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"048b160dd211302cb085e350fbf419b3b11f23a8e2b25d2fee1a75edced772a3","first_computed_at":"2026-05-18T04:08:44.920100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:44.920100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oa6fcM3nRojmV3H5miU0/bWLH+MtDMCbVcpPMzr4SnT0QfeK6YvLa7QgWryr3M8QAfnjUj/0l/xK3l/TODrBDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:44.920813Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.4001","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaf7b2ebe417f661178cfa860fc33c03f730180b4948e0d223e3700bf59ad76b","sha256:d153ea1f3b9baeedc295efbf50d19de2b82ade5368fee19ba55acce5c6b5b872"],"state_sha256":"1466889980bd048437598b257807e12b6efd5d6a293feb6177571d8c26a5da5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"19gQcnkRa6AWKfDp27QQVhvlLSic6jf9umqL2Ypzl5t+aaOVNgh6f3lCL1CHgqd7j279er/4sfZbCKShRXaHBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T02:12:02.581603Z","bundle_sha256":"43c7f9f08b027fe603c25d7376f72a95e413fedf68118c58eb4c340076a88ffd"}}