{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5S6WADUZIWEKQAGN4UFB2VAF7W","short_pith_number":"pith:5S6WADUZ","canonical_record":{"source":{"id":"1009.4350","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-09-22T13:00:44Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8605589ef5745a45d9b22e021835f840378d0e4f6385b9b1b9761306fc38549f","abstract_canon_sha256":"bc4e19a563cbf6a2c21a476449cafe7cde09ecd0a9e4f555aa2c81fcff74076d"},"schema_version":"1.0"},"canonical_sha256":"ecbd600e994588a800cde50a1d5405fd954ae33ab2bfe77efafcfde61e7d25e7","source":{"kind":"arxiv","id":"1009.4350","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4350","created_at":"2026-05-18T04:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4350v1","created_at":"2026-05-18T04:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4350","created_at":"2026-05-18T04:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"5S6WADUZIWEK","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5S6WADUZIWEKQAGN","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5S6WADUZ","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5S6WADUZIWEKQAGN4UFB2VAF7W","target":"record","payload":{"canonical_record":{"source":{"id":"1009.4350","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-09-22T13:00:44Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8605589ef5745a45d9b22e021835f840378d0e4f6385b9b1b9761306fc38549f","abstract_canon_sha256":"bc4e19a563cbf6a2c21a476449cafe7cde09ecd0a9e4f555aa2c81fcff74076d"},"schema_version":"1.0"},"canonical_sha256":"ecbd600e994588a800cde50a1d5405fd954ae33ab2bfe77efafcfde61e7d25e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:40.651487Z","signature_b64":"mwR8S5kO92pgvCdpg4aks9h8JDB3aVSKEJbH+9qErahfKcin8s6b5ttj/2AJvP0khBYCQxkOOn2Oehkefdh1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecbd600e994588a800cde50a1d5405fd954ae33ab2bfe77efafcfde61e7d25e7","last_reissued_at":"2026-05-18T04:07:40.650496Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:40.650496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.4350","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":"2026-05-18T04:07:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xChmCmESK1Hdzo7J4bY7bFvv5JkrHZceDWmOfEWqgz5OKWwQ/wc4P5xEtUsWkW1K1CBwljHsXQW3lOM/m7goBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:57:52.256052Z"},"content_sha256":"02cffc7a7d4af02cbcb9f6d061dadecbca265b90cf39611ea165722cb18d559f","schema_version":"1.0","event_id":"sha256:02cffc7a7d4af02cbcb9f6d061dadecbca265b90cf39611ea165722cb18d559f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5S6WADUZIWEKQAGN4UFB2VAF7W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Photoacoustic Imaging Taking into Account Attenuation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Otmar Scherzer, Richard Kowar","submitted_at":"2010-09-22T13:00:44Z","abstract_excerpt":"First, we review existing attenuation models and discuss their causality properties, which we believe to be essential for algorithms for inversion with attenuated data. Then, we survey causality properties of common attenuation models. We also derive integro-differential equations which the attenuated waves are satisfying. In addition we discuss the ill--conditionness of the inverse problem for calculating the unattenuated wave from the attenuated one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4350","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":"2026-05-18T04:07:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gatggRthr30VakpHRylbeERE2qkJizHdpPKZCCldEAmKCR3ACwYSqQEeLzENzdlF0LA3SxNTAvb2RRiaYSmiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:57:52.256639Z"},"content_sha256":"431040cfce1fed6ec06550a467dbb0e4ddc594e8e4b005a47243cd4d87d314a0","schema_version":"1.0","event_id":"sha256:431040cfce1fed6ec06550a467dbb0e4ddc594e8e4b005a47243cd4d87d314a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5S6WADUZIWEKQAGN4UFB2VAF7W/bundle.json","state_url":"https://pith.science/pith/5S6WADUZIWEKQAGN4UFB2VAF7W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5S6WADUZIWEKQAGN4UFB2VAF7W/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":"2026-05-31T09:57:52Z","links":{"resolver":"https://pith.science/pith/5S6WADUZIWEKQAGN4UFB2VAF7W","bundle":"https://pith.science/pith/5S6WADUZIWEKQAGN4UFB2VAF7W/bundle.json","state":"https://pith.science/pith/5S6WADUZIWEKQAGN4UFB2VAF7W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5S6WADUZIWEKQAGN4UFB2VAF7W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5S6WADUZIWEKQAGN4UFB2VAF7W","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":"bc4e19a563cbf6a2c21a476449cafe7cde09ecd0a9e4f555aa2c81fcff74076d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-09-22T13:00:44Z","title_canon_sha256":"8605589ef5745a45d9b22e021835f840378d0e4f6385b9b1b9761306fc38549f"},"schema_version":"1.0","source":{"id":"1009.4350","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4350","created_at":"2026-05-18T04:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4350v1","created_at":"2026-05-18T04:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4350","created_at":"2026-05-18T04:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"5S6WADUZIWEK","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5S6WADUZIWEKQAGN","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5S6WADUZ","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:431040cfce1fed6ec06550a467dbb0e4ddc594e8e4b005a47243cd4d87d314a0","target":"graph","created_at":"2026-05-18T04:07:40Z","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":"First, we review existing attenuation models and discuss their causality properties, which we believe to be essential for algorithms for inversion with attenuated data. Then, we survey causality properties of common attenuation models. We also derive integro-differential equations which the attenuated waves are satisfying. In addition we discuss the ill--conditionness of the inverse problem for calculating the unattenuated wave from the attenuated one.","authors_text":"Otmar Scherzer, Richard Kowar","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-09-22T13:00:44Z","title":"Photoacoustic Imaging Taking into Account Attenuation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4350","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":"sha256:02cffc7a7d4af02cbcb9f6d061dadecbca265b90cf39611ea165722cb18d559f","target":"record","created_at":"2026-05-18T04:07:40Z","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":"bc4e19a563cbf6a2c21a476449cafe7cde09ecd0a9e4f555aa2c81fcff74076d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-09-22T13:00:44Z","title_canon_sha256":"8605589ef5745a45d9b22e021835f840378d0e4f6385b9b1b9761306fc38549f"},"schema_version":"1.0","source":{"id":"1009.4350","kind":"arxiv","version":1}},"canonical_sha256":"ecbd600e994588a800cde50a1d5405fd954ae33ab2bfe77efafcfde61e7d25e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecbd600e994588a800cde50a1d5405fd954ae33ab2bfe77efafcfde61e7d25e7","first_computed_at":"2026-05-18T04:07:40.650496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:40.650496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mwR8S5kO92pgvCdpg4aks9h8JDB3aVSKEJbH+9qErahfKcin8s6b5ttj/2AJvP0khBYCQxkOOn2Oehkefdh1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:40.651487Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4350","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02cffc7a7d4af02cbcb9f6d061dadecbca265b90cf39611ea165722cb18d559f","sha256:431040cfce1fed6ec06550a467dbb0e4ddc594e8e4b005a47243cd4d87d314a0"],"state_sha256":"a4d35a3c524c726b99108dea31b73372b8568251da4f58a4d3b04f18b6e1af5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UbV8P//khInuVdo5OAKRxV19zzgR4yUMwgb6QJb4uUxlEAicr6WWNGifCFV1b3wI1qVvGvs8zHscLufO0SYMBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:57:52.259728Z","bundle_sha256":"0409de2e08e3bc6fc7d4edbc9d0a97c64c95164538b8e583fe0edef815965095"}}