{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YC3CAFA5BHV6IWWUAJH4MHPNM6","short_pith_number":"pith:YC3CAFA5","canonical_record":{"source":{"id":"2607.19799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T06:26:10Z","cross_cats_sorted":[],"title_canon_sha256":"7c150d7260bd51bd38987a99a237c8f0db75edb1ddd484df436215c84889bc5c","abstract_canon_sha256":"06eff5adaa928a96b94fb7b98ddadc40ff82e71deb45e6ae539569da97f00359"},"schema_version":"1.0"},"canonical_sha256":"c0b620141d09ebe45ad4024fc61ded6785f44b1e2688720710fd0e4c9c76bbd0","source":{"kind":"arxiv","id":"2607.19799","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19799","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19799v1","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19799","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"pith_short_12","alias_value":"YC3CAFA5BHV6","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"pith_short_16","alias_value":"YC3CAFA5BHV6IWWU","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"pith_short_8","alias_value":"YC3CAFA5","created_at":"2026-07-23T01:23:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YC3CAFA5BHV6IWWUAJH4MHPNM6","target":"record","payload":{"canonical_record":{"source":{"id":"2607.19799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T06:26:10Z","cross_cats_sorted":[],"title_canon_sha256":"7c150d7260bd51bd38987a99a237c8f0db75edb1ddd484df436215c84889bc5c","abstract_canon_sha256":"06eff5adaa928a96b94fb7b98ddadc40ff82e71deb45e6ae539569da97f00359"},"schema_version":"1.0"},"canonical_sha256":"c0b620141d09ebe45ad4024fc61ded6785f44b1e2688720710fd0e4c9c76bbd0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-23T01:23:59.962647Z","signature_b64":"H1szaojGDzwBQpPAWelF1YhRqTM1eW+5ZdB792kl2z/iID2JUA9+5cum5rESBchvKe/RuFMKSVvJpTqlf9IxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0b620141d09ebe45ad4024fc61ded6785f44b1e2688720710fd0e4c9c76bbd0","last_reissued_at":"2026-07-23T01:23:59.961808Z","signature_status":"signed_v1","first_computed_at":"2026-07-23T01:23:59.961808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.19799","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":"2026-07-23T01:23:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FdD2OVMZAr4B5lGBegWHKGh8w8J/EMmrUEnuTW5g8WFxhU6g2V357BGWxiCIZMFRElMOJwp0k3rAq9QnYIGkCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T03:02:49.769707Z"},"content_sha256":"3cdb7861e5bcbd2c23a7b9b27d33c850aa5d80dcb009780f6bda4bebb20bca49","schema_version":"1.0","event_id":"sha256:3cdb7861e5bcbd2c23a7b9b27d33c850aa5d80dcb009780f6bda4bebb20bca49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YC3CAFA5BHV6IWWUAJH4MHPNM6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simultaneous Recovery of the Initial Source and Sound Speed for the Wave Equation under a Constitutive Constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Amir Moradifam","submitted_at":"2026-07-22T06:26:10Z","abstract_excerpt":"We study the simultaneous recovery of the initial source and sound speed for the scalar wave equation from a single boundary measurement. Although the recovery of either parameter separately is well understood under suitable geometric hypotheses, simultaneous recovery remains open in general, and stable recovery is further obstructed by the inherent instability of the linearized problem. We show that both uniqueness and stability can be obtained when the two unknowns are coupled through a prescribed constitutive relation arising from a common underlying material. Under a quantitative nondegene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19799","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.19799/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-23T01:23:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZyROlAWtwz1ExCjB5mMNtutqBIpOcMDos5NrZwc+RiMKgq+cJYv/Vm7Gxa5xMrutA7MHUNMnYeO6HBstGO/uDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T03:02:49.770708Z"},"content_sha256":"28a4c9dcda868c9a660f742818a64136281b62fb980f125208d3d7bdc31b3df6","schema_version":"1.0","event_id":"sha256:28a4c9dcda868c9a660f742818a64136281b62fb980f125208d3d7bdc31b3df6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YC3CAFA5BHV6IWWUAJH4MHPNM6/bundle.json","state_url":"https://pith.science/pith/YC3CAFA5BHV6IWWUAJH4MHPNM6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YC3CAFA5BHV6IWWUAJH4MHPNM6/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":"2026-08-18T03:02:49Z","links":{"resolver":"https://pith.science/pith/YC3CAFA5BHV6IWWUAJH4MHPNM6","bundle":"https://pith.science/pith/YC3CAFA5BHV6IWWUAJH4MHPNM6/bundle.json","state":"https://pith.science/pith/YC3CAFA5BHV6IWWUAJH4MHPNM6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YC3CAFA5BHV6IWWUAJH4MHPNM6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YC3CAFA5BHV6IWWUAJH4MHPNM6","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":"06eff5adaa928a96b94fb7b98ddadc40ff82e71deb45e6ae539569da97f00359","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T06:26:10Z","title_canon_sha256":"7c150d7260bd51bd38987a99a237c8f0db75edb1ddd484df436215c84889bc5c"},"schema_version":"1.0","source":{"id":"2607.19799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19799","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19799v1","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19799","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"pith_short_12","alias_value":"YC3CAFA5BHV6","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"pith_short_16","alias_value":"YC3CAFA5BHV6IWWU","created_at":"2026-07-23T01:23:59Z"},{"alias_kind":"pith_short_8","alias_value":"YC3CAFA5","created_at":"2026-07-23T01:23:59Z"}],"graph_snapshots":[{"event_id":"sha256:28a4c9dcda868c9a660f742818a64136281b62fb980f125208d3d7bdc31b3df6","target":"graph","created_at":"2026-07-23T01:23:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.19799/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the simultaneous recovery of the initial source and sound speed for the scalar wave equation from a single boundary measurement. Although the recovery of either parameter separately is well understood under suitable geometric hypotheses, simultaneous recovery remains open in general, and stable recovery is further obstructed by the inherent instability of the linearized problem. We show that both uniqueness and stability can be obtained when the two unknowns are coupled through a prescribed constitutive relation arising from a common underlying material. Under a quantitative nondegene","authors_text":"Amir Moradifam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T06:26:10Z","title":"Simultaneous Recovery of the Initial Source and Sound Speed for the Wave Equation under a Constitutive Constraint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19799","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":"sha256:3cdb7861e5bcbd2c23a7b9b27d33c850aa5d80dcb009780f6bda4bebb20bca49","target":"record","created_at":"2026-07-23T01:23:59Z","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":"06eff5adaa928a96b94fb7b98ddadc40ff82e71deb45e6ae539569da97f00359","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-07-22T06:26:10Z","title_canon_sha256":"7c150d7260bd51bd38987a99a237c8f0db75edb1ddd484df436215c84889bc5c"},"schema_version":"1.0","source":{"id":"2607.19799","kind":"arxiv","version":1}},"canonical_sha256":"c0b620141d09ebe45ad4024fc61ded6785f44b1e2688720710fd0e4c9c76bbd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0b620141d09ebe45ad4024fc61ded6785f44b1e2688720710fd0e4c9c76bbd0","first_computed_at":"2026-07-23T01:23:59.961808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-23T01:23:59.961808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H1szaojGDzwBQpPAWelF1YhRqTM1eW+5ZdB792kl2z/iID2JUA9+5cum5rESBchvKe/RuFMKSVvJpTqlf9IxAw==","signature_status":"signed_v1","signed_at":"2026-07-23T01:23:59.962647Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.19799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3cdb7861e5bcbd2c23a7b9b27d33c850aa5d80dcb009780f6bda4bebb20bca49","sha256:28a4c9dcda868c9a660f742818a64136281b62fb980f125208d3d7bdc31b3df6"],"state_sha256":"85f07c1854d69fa0ff08da358792145dbdc7363f0f9d0696afabc387163dba99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8QvPC1GMeobmls6tOdoSXPRvfe4OUGk2iMsJ6C87JFhjXrR5/EsPE3wwwzTynD9ZOa3rcn6SILDmjNiOLBtADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T03:02:49.778384Z","bundle_sha256":"9fc15c32127db6731875a286316f6ca0b8b792102a550e7408577ca412daa022"}}