{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5DR6BTCQEJWAWP3SYBIQSHA76N","short_pith_number":"pith:5DR6BTCQ","canonical_record":{"source":{"id":"1307.1618","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-05T13:59:29Z","cross_cats_sorted":[],"title_canon_sha256":"6f1f07d1f3b143e51a0ab862011a0bf17814d327c3075142a03d153c72d43644","abstract_canon_sha256":"d16c9e76a5e171eaf049335032c7e92f9af5b76d4b2f04270a2dae28429deca4"},"schema_version":"1.0"},"canonical_sha256":"e8e3e0cc50226c0b3f72c051091c1ff34baf76ee4929f355340a38b5778cfc6e","source":{"kind":"arxiv","id":"1307.1618","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1618","created_at":"2026-05-18T03:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1618v1","created_at":"2026-05-18T03:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1618","created_at":"2026-05-18T03:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"5DR6BTCQEJWA","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5DR6BTCQEJWAWP3S","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5DR6BTCQ","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5DR6BTCQEJWAWP3SYBIQSHA76N","target":"record","payload":{"canonical_record":{"source":{"id":"1307.1618","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-05T13:59:29Z","cross_cats_sorted":[],"title_canon_sha256":"6f1f07d1f3b143e51a0ab862011a0bf17814d327c3075142a03d153c72d43644","abstract_canon_sha256":"d16c9e76a5e171eaf049335032c7e92f9af5b76d4b2f04270a2dae28429deca4"},"schema_version":"1.0"},"canonical_sha256":"e8e3e0cc50226c0b3f72c051091c1ff34baf76ee4929f355340a38b5778cfc6e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:12.384870Z","signature_b64":"NemcSGG/S7Cy2R9OOQpDVT93vWOA+KGP68Jn4BjPEN5wFtfp9dk8uyxAZegBITNMaIvWWLXIB925v0X7FHvCBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8e3e0cc50226c0b3f72c051091c1ff34baf76ee4929f355340a38b5778cfc6e","last_reissued_at":"2026-05-18T03:19:12.384426Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:12.384426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.1618","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":"2026-05-18T03:19:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FzQoHPUxe26Wxn82JgSoBuRSR1oeZBWnZPI3J0crt7f7mfyydSwIvE3wczoaP/8CEr277n25p0P9QJ/4Lc+CAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:11:13.963003Z"},"content_sha256":"d1e136e6506ac83a9e2fa491dd0a3447ac38ea77d3adaeb51cacf429edc821ef","schema_version":"1.0","event_id":"sha256:d1e136e6506ac83a9e2fa491dd0a3447ac38ea77d3adaeb51cacf429edc821ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5DR6BTCQEJWAWP3SYBIQSHA76N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Photoacoustic and thermoacoustic tomography with an uncertain wave speed","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gunther Uhlmann, Lauri Oksanen","submitted_at":"2013-07-05T13:59:29Z","abstract_excerpt":"We consider the mathematical model of photoacoustic and thermoacoustic tomography in media with a variable sound speed. When the sound speed is known, the explicit reconstruction formula by P. Stefanov and G. Uhlmann (Inverse Problems, 25(7):075011, 16, 2009) can be used. We study how a modelling error in the sound speed affects the reconstruction formula and quantify the effect in terms of a stability estimate."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1618","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":"2026-05-18T03:19:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"adGwVLXAfFD7+tUCv0wsLydvxClWwoa6LnNY1bzBVPMVJCcbff0NW293kDW7vwmDJEZGwoVF5L81VeTk+NpABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:11:13.963439Z"},"content_sha256":"06c0b79b79faa5137688d5a3bd9348f85033742bc28f2b4c5e762130dfe40471","schema_version":"1.0","event_id":"sha256:06c0b79b79faa5137688d5a3bd9348f85033742bc28f2b4c5e762130dfe40471"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5DR6BTCQEJWAWP3SYBIQSHA76N/bundle.json","state_url":"https://pith.science/pith/5DR6BTCQEJWAWP3SYBIQSHA76N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5DR6BTCQEJWAWP3SYBIQSHA76N/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":"2026-06-09T18:11:13Z","links":{"resolver":"https://pith.science/pith/5DR6BTCQEJWAWP3SYBIQSHA76N","bundle":"https://pith.science/pith/5DR6BTCQEJWAWP3SYBIQSHA76N/bundle.json","state":"https://pith.science/pith/5DR6BTCQEJWAWP3SYBIQSHA76N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5DR6BTCQEJWAWP3SYBIQSHA76N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5DR6BTCQEJWAWP3SYBIQSHA76N","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":"d16c9e76a5e171eaf049335032c7e92f9af5b76d4b2f04270a2dae28429deca4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-05T13:59:29Z","title_canon_sha256":"6f1f07d1f3b143e51a0ab862011a0bf17814d327c3075142a03d153c72d43644"},"schema_version":"1.0","source":{"id":"1307.1618","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1618","created_at":"2026-05-18T03:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1618v1","created_at":"2026-05-18T03:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1618","created_at":"2026-05-18T03:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"5DR6BTCQEJWA","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5DR6BTCQEJWAWP3S","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5DR6BTCQ","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:06c0b79b79faa5137688d5a3bd9348f85033742bc28f2b4c5e762130dfe40471","target":"graph","created_at":"2026-05-18T03:19:12Z","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 consider the mathematical model of photoacoustic and thermoacoustic tomography in media with a variable sound speed. When the sound speed is known, the explicit reconstruction formula by P. Stefanov and G. Uhlmann (Inverse Problems, 25(7):075011, 16, 2009) can be used. We study how a modelling error in the sound speed affects the reconstruction formula and quantify the effect in terms of a stability estimate.","authors_text":"Gunther Uhlmann, Lauri Oksanen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-05T13:59:29Z","title":"Photoacoustic and thermoacoustic tomography with an uncertain wave speed"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1618","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:d1e136e6506ac83a9e2fa491dd0a3447ac38ea77d3adaeb51cacf429edc821ef","target":"record","created_at":"2026-05-18T03:19:12Z","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":"d16c9e76a5e171eaf049335032c7e92f9af5b76d4b2f04270a2dae28429deca4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-07-05T13:59:29Z","title_canon_sha256":"6f1f07d1f3b143e51a0ab862011a0bf17814d327c3075142a03d153c72d43644"},"schema_version":"1.0","source":{"id":"1307.1618","kind":"arxiv","version":1}},"canonical_sha256":"e8e3e0cc50226c0b3f72c051091c1ff34baf76ee4929f355340a38b5778cfc6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8e3e0cc50226c0b3f72c051091c1ff34baf76ee4929f355340a38b5778cfc6e","first_computed_at":"2026-05-18T03:19:12.384426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:12.384426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NemcSGG/S7Cy2R9OOQpDVT93vWOA+KGP68Jn4BjPEN5wFtfp9dk8uyxAZegBITNMaIvWWLXIB925v0X7FHvCBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:12.384870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.1618","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1e136e6506ac83a9e2fa491dd0a3447ac38ea77d3adaeb51cacf429edc821ef","sha256:06c0b79b79faa5137688d5a3bd9348f85033742bc28f2b4c5e762130dfe40471"],"state_sha256":"1b727aa0b8c5e472ae1412f8411c939ea1ba4f38352187d2ae4bd37e276b6d8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wKPwWutFvtU6y+ibGPooPdtt2rqtNuUnOhhP7k6bHo8YAvLHHpncriwblUU0jUUbTnC4fCXYE+NFItXPNtibDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T18:11:13.966261Z","bundle_sha256":"207607587cf236d7eabf7195b99ea1bd881747529b9985f6e7c45ad697f82edb"}}