{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:G3DSODJQQZJRSUAPARNROM3Y4Y","short_pith_number":"pith:G3DSODJQ","canonical_record":{"source":{"id":"1303.7384","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-29T13:03:43Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"36c1b74c0b4d8ac406c3283ce65342478e6e34e9e48fd097214e6a44775b9515","abstract_canon_sha256":"53a541a64ae9cf2d5dcb4386c3437799f9b83bc7ec6053c4fef35a14dfdacee6"},"schema_version":"1.0"},"canonical_sha256":"36c7270d30865319500f045b173378e62918f7ddb7c32e8f5b0a0fafe3016186","source":{"kind":"arxiv","id":"1303.7384","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.7384","created_at":"2026-05-18T03:29:28Z"},{"alias_kind":"arxiv_version","alias_value":"1303.7384v1","created_at":"2026-05-18T03:29:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7384","created_at":"2026-05-18T03:29:28Z"},{"alias_kind":"pith_short_12","alias_value":"G3DSODJQQZJR","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G3DSODJQQZJRSUAP","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G3DSODJQ","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:G3DSODJQQZJRSUAPARNROM3Y4Y","target":"record","payload":{"canonical_record":{"source":{"id":"1303.7384","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-29T13:03:43Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"36c1b74c0b4d8ac406c3283ce65342478e6e34e9e48fd097214e6a44775b9515","abstract_canon_sha256":"53a541a64ae9cf2d5dcb4386c3437799f9b83bc7ec6053c4fef35a14dfdacee6"},"schema_version":"1.0"},"canonical_sha256":"36c7270d30865319500f045b173378e62918f7ddb7c32e8f5b0a0fafe3016186","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:28.602719Z","signature_b64":"LXEocK72R7sQMPygGMOL4rsKjtfQJhVxUSXpVmbCa3P2aY8HS3x9uG27EvySaHyTaxhpZ62NLDZDuO0rfFUcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36c7270d30865319500f045b173378e62918f7ddb7c32e8f5b0a0fafe3016186","last_reissued_at":"2026-05-18T03:29:28.602197Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:28.602197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.7384","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":"2026-05-18T03:29:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EWCtYGe4TcPycG3N8O6v9R6TuVsijGV4frbKHro/s/ogqyS5Dn6Og8UKy9Wk71sB67VmB8Ut7lFxFGO9zmcWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:59:40.928499Z"},"content_sha256":"ae21c6672fd45f52b1b513aba56b4f3aa6581b8cef8d99a2d486780218ee00da","schema_version":"1.0","event_id":"sha256:ae21c6672fd45f52b1b513aba56b4f3aa6581b8cef8d99a2d486780218ee00da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:G3DSODJQQZJRSUAPARNROM3Y4Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniqueness of two phaseless inverse acoustics problems in 3-d","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Michael V. Klibanov","submitted_at":"2013-03-29T13:03:43Z","abstract_excerpt":"Uniqueness is proven for two 3-d inverse problems of the determination of the spatially distributed sound speed in the frequency dependent acoustic PDE. The main new point is the assumption that only the modulus of the scattered complex valued wave field is measured on a certain set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7384","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":"2026-05-18T03:29:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"auFZOYljxlQLTuwZACbRewSTS6cHasTdsZX8GBY+kKpCh1CXFW7+eh0Gx9pBv27prprFgopNkJhpuSP41yJsCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:59:40.929143Z"},"content_sha256":"bd3a9be536ab70f3a0377db2b7529927c3569bb26c30c1865a9699ff320d324a","schema_version":"1.0","event_id":"sha256:bd3a9be536ab70f3a0377db2b7529927c3569bb26c30c1865a9699ff320d324a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G3DSODJQQZJRSUAPARNROM3Y4Y/bundle.json","state_url":"https://pith.science/pith/G3DSODJQQZJRSUAPARNROM3Y4Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G3DSODJQQZJRSUAPARNROM3Y4Y/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":"2026-06-04T02:59:40Z","links":{"resolver":"https://pith.science/pith/G3DSODJQQZJRSUAPARNROM3Y4Y","bundle":"https://pith.science/pith/G3DSODJQQZJRSUAPARNROM3Y4Y/bundle.json","state":"https://pith.science/pith/G3DSODJQQZJRSUAPARNROM3Y4Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G3DSODJQQZJRSUAPARNROM3Y4Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:G3DSODJQQZJRSUAPARNROM3Y4Y","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":"53a541a64ae9cf2d5dcb4386c3437799f9b83bc7ec6053c4fef35a14dfdacee6","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-29T13:03:43Z","title_canon_sha256":"36c1b74c0b4d8ac406c3283ce65342478e6e34e9e48fd097214e6a44775b9515"},"schema_version":"1.0","source":{"id":"1303.7384","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.7384","created_at":"2026-05-18T03:29:28Z"},{"alias_kind":"arxiv_version","alias_value":"1303.7384v1","created_at":"2026-05-18T03:29:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7384","created_at":"2026-05-18T03:29:28Z"},{"alias_kind":"pith_short_12","alias_value":"G3DSODJQQZJR","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G3DSODJQQZJRSUAP","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G3DSODJQ","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:bd3a9be536ab70f3a0377db2b7529927c3569bb26c30c1865a9699ff320d324a","target":"graph","created_at":"2026-05-18T03:29:28Z","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":"Uniqueness is proven for two 3-d inverse problems of the determination of the spatially distributed sound speed in the frequency dependent acoustic PDE. The main new point is the assumption that only the modulus of the scattered complex valued wave field is measured on a certain set.","authors_text":"Michael V. Klibanov","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-29T13:03:43Z","title":"Uniqueness of two phaseless inverse acoustics problems in 3-d"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7384","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:ae21c6672fd45f52b1b513aba56b4f3aa6581b8cef8d99a2d486780218ee00da","target":"record","created_at":"2026-05-18T03:29:28Z","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":"53a541a64ae9cf2d5dcb4386c3437799f9b83bc7ec6053c4fef35a14dfdacee6","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-29T13:03:43Z","title_canon_sha256":"36c1b74c0b4d8ac406c3283ce65342478e6e34e9e48fd097214e6a44775b9515"},"schema_version":"1.0","source":{"id":"1303.7384","kind":"arxiv","version":1}},"canonical_sha256":"36c7270d30865319500f045b173378e62918f7ddb7c32e8f5b0a0fafe3016186","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36c7270d30865319500f045b173378e62918f7ddb7c32e8f5b0a0fafe3016186","first_computed_at":"2026-05-18T03:29:28.602197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:28.602197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LXEocK72R7sQMPygGMOL4rsKjtfQJhVxUSXpVmbCa3P2aY8HS3x9uG27EvySaHyTaxhpZ62NLDZDuO0rfFUcDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:28.602719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.7384","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae21c6672fd45f52b1b513aba56b4f3aa6581b8cef8d99a2d486780218ee00da","sha256:bd3a9be536ab70f3a0377db2b7529927c3569bb26c30c1865a9699ff320d324a"],"state_sha256":"b5c143dd7d6bbde91b113c92cec7b9e2cafabb817f259e17b7510b3d6882ef9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WuqFEMLxaR+e1AN7R+udtD+L51Xudc9gf9yokQDiihH5O00wrVVFrpQ83F1fZivxclf24bGjSlGx8IkfXJfLAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T02:59:40.932143Z","bundle_sha256":"775ac3f0472b77ad1130b1380235626fa87d5504f7db473207c21586428915b1"}}