{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:JYHVYS6JHTXFP3R7FZWEVS5CW3","short_pith_number":"pith:JYHVYS6J","schema_version":"1.0","canonical_sha256":"4e0f5c4bc93cee57ee3f2e6c4acba2b6fddf9be7cd18fd81a2a2f27f7a9f05ff","source":{"kind":"arxiv","id":"1103.1517","version":2},"attestation_state":"computed","paper":{"title":"Generalized optical theorems for the reconstruction of Green's function of an inhomogeneous elastic medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.geo-ph","authors_text":"Haruo Sato, Ludovic Margerin (IRAP)","submitted_at":"2011-03-08T12:58:28Z","abstract_excerpt":"This paper investigates the reconstruction of elastic Green's function from the cross-correlation of waves excited by random noise in the context of scattering theory. Using a general operator equation, -the resolvent formula-, Green's function reconstruction is established when the noise sources satisfy an equipartition condition. In an inhomogeneous medium, the operator formalism leads to generalized forms of optical theorem involving the off-shell $T$-matrix of elastic waves, which describes scattering in the near-field. The role of temporal absorption in the formulation of the theorem is d"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1103.1517","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2011-03-08T12:58:28Z","cross_cats_sorted":[],"title_canon_sha256":"84a28f5219a33896ad7a103318a13579ef781bf3312d33db1d9608976e78106f","abstract_canon_sha256":"784f3702af9f63bf042b12dc75d252824bd697e30cdbb8549426aa34e6f82aa6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:56.465349Z","signature_b64":"ogRz45277tFAJRNR0Z7aVnXREcCAQdEBcJ9zjRcBkC9JWJESYGhc1YVuUGZRjn/oQix+8+Leqq/MNr84B/XJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e0f5c4bc93cee57ee3f2e6c4acba2b6fddf9be7cd18fd81a2a2f27f7a9f05ff","last_reissued_at":"2026-05-18T02:02:56.464645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:56.464645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized optical theorems for the reconstruction of Green's function of an inhomogeneous elastic medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.geo-ph","authors_text":"Haruo Sato, Ludovic Margerin (IRAP)","submitted_at":"2011-03-08T12:58:28Z","abstract_excerpt":"This paper investigates the reconstruction of elastic Green's function from the cross-correlation of waves excited by random noise in the context of scattering theory. Using a general operator equation, -the resolvent formula-, Green's function reconstruction is established when the noise sources satisfy an equipartition condition. In an inhomogeneous medium, the operator formalism leads to generalized forms of optical theorem involving the off-shell $T$-matrix of elastic waves, which describes scattering in the near-field. The role of temporal absorption in the formulation of the theorem is d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1517","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1103.1517","created_at":"2026-05-18T02:02:56.464756+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.1517v2","created_at":"2026-05-18T02:02:56.464756+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.1517","created_at":"2026-05-18T02:02:56.464756+00:00"},{"alias_kind":"pith_short_12","alias_value":"JYHVYS6JHTXF","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"JYHVYS6JHTXFP3R7","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"JYHVYS6J","created_at":"2026-05-18T12:26:32.869790+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JYHVYS6JHTXFP3R7FZWEVS5CW3","json":"https://pith.science/pith/JYHVYS6JHTXFP3R7FZWEVS5CW3.json","graph_json":"https://pith.science/api/pith-number/JYHVYS6JHTXFP3R7FZWEVS5CW3/graph.json","events_json":"https://pith.science/api/pith-number/JYHVYS6JHTXFP3R7FZWEVS5CW3/events.json","paper":"https://pith.science/paper/JYHVYS6J"},"agent_actions":{"view_html":"https://pith.science/pith/JYHVYS6JHTXFP3R7FZWEVS5CW3","download_json":"https://pith.science/pith/JYHVYS6JHTXFP3R7FZWEVS5CW3.json","view_paper":"https://pith.science/paper/JYHVYS6J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.1517&json=true","fetch_graph":"https://pith.science/api/pith-number/JYHVYS6JHTXFP3R7FZWEVS5CW3/graph.json","fetch_events":"https://pith.science/api/pith-number/JYHVYS6JHTXFP3R7FZWEVS5CW3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JYHVYS6JHTXFP3R7FZWEVS5CW3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JYHVYS6JHTXFP3R7FZWEVS5CW3/action/storage_attestation","attest_author":"https://pith.science/pith/JYHVYS6JHTXFP3R7FZWEVS5CW3/action/author_attestation","sign_citation":"https://pith.science/pith/JYHVYS6JHTXFP3R7FZWEVS5CW3/action/citation_signature","submit_replication":"https://pith.science/pith/JYHVYS6JHTXFP3R7FZWEVS5CW3/action/replication_record"}},"created_at":"2026-05-18T02:02:56.464756+00:00","updated_at":"2026-05-18T02:02:56.464756+00:00"}