{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BUR54DME4BKXCSIIQ3PH5ILJ6L","short_pith_number":"pith:BUR54DME","canonical_record":{"source":{"id":"1810.06760","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2018-10-16T00:11:09Z","cross_cats_sorted":[],"title_canon_sha256":"35b19eff81e6f63909d06d09a9f67521bc43f434781a19e30b3630f3226dbb01","abstract_canon_sha256":"49345a8b6c32e4151d1bbf4ca4a63ede238a7264004c28c0f30c253b65f80064"},"schema_version":"1.0"},"canonical_sha256":"0d23de0d84e05571490886de7ea169f2f4c54eb12c43b62f10ccad557b5fdcb8","source":{"kind":"arxiv","id":"1810.06760","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06760","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06760v2","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06760","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"BUR54DME4BKX","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BUR54DME4BKXCSII","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BUR54DME","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BUR54DME4BKXCSIIQ3PH5ILJ6L","target":"record","payload":{"canonical_record":{"source":{"id":"1810.06760","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2018-10-16T00:11:09Z","cross_cats_sorted":[],"title_canon_sha256":"35b19eff81e6f63909d06d09a9f67521bc43f434781a19e30b3630f3226dbb01","abstract_canon_sha256":"49345a8b6c32e4151d1bbf4ca4a63ede238a7264004c28c0f30c253b65f80064"},"schema_version":"1.0"},"canonical_sha256":"0d23de0d84e05571490886de7ea169f2f4c54eb12c43b62f10ccad557b5fdcb8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:04.608539Z","signature_b64":"sl66PdUOtF1BuMG34WAe7nX9jRNz9sM6aIVub0ff0vGYPMF14bnNFT53QaooAoWIoiIAupgyJeC7tN8xsqNbBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d23de0d84e05571490886de7ea169f2f4c54eb12c43b62f10ccad557b5fdcb8","last_reissued_at":"2026-05-17T23:59:04.608116Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:04.608116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.06760","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cacHrMNzN62lg6Ufn2ZSGOd15Ij23mgv4n/73XPhFkLb2sIrF0fMASMe74fIMdCu1GJoNZazqiGCxW92yrtQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:56:34.713097Z"},"content_sha256":"8e39ae678c9a8ee18696680bdeba1951a5bb0163170e752b7cceb6bd046add48","schema_version":"1.0","event_id":"sha256:8e39ae678c9a8ee18696680bdeba1951a5bb0163170e752b7cceb6bd046add48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BUR54DME4BKXCSIIQ3PH5ILJ6L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Frozen Gaussian Approximation for 3-D Elastic Wave Equation and Seismic Tomography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.geo-ph","authors_text":"James C. Hateley, Lihui Chai, Ping Tong, Xu Yang","submitted_at":"2018-10-16T00:11:09Z","abstract_excerpt":"The purpose of this work is to generalize the frozen Gaussian approximation (FGA) theory to solve the 3-D elastic wave equation and use it as the forward modeling tool for seismic tomography with high-frequency data. FGA has been previously developed and verified as an efficient solver for high-frequency acoustic wave propagation (P-wave). The main contribution of this paper consists of three aspects: 1. We derive the FGA formulation for the 3-D elastic wave equation. Rather than standard ray-based methods (e.g. geometric optics and Gaussian beam method), the derivation requires to do asymptot"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06760","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C2UxARJkJy92JOP+NM28OTiUGeDsWJFwiwcYUzqL6mJHn7IRA9qHi7N2jwi8V5Jz1q3/yUL5PtyOtCZkj7z6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:56:34.713663Z"},"content_sha256":"5e841dcd2376d8cbd9a9d42b941600860efdd88b2cb0b53d6e24d2fa80634fe9","schema_version":"1.0","event_id":"sha256:5e841dcd2376d8cbd9a9d42b941600860efdd88b2cb0b53d6e24d2fa80634fe9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BUR54DME4BKXCSIIQ3PH5ILJ6L/bundle.json","state_url":"https://pith.science/pith/BUR54DME4BKXCSIIQ3PH5ILJ6L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BUR54DME4BKXCSIIQ3PH5ILJ6L/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":"2026-05-26T10:56:34Z","links":{"resolver":"https://pith.science/pith/BUR54DME4BKXCSIIQ3PH5ILJ6L","bundle":"https://pith.science/pith/BUR54DME4BKXCSIIQ3PH5ILJ6L/bundle.json","state":"https://pith.science/pith/BUR54DME4BKXCSIIQ3PH5ILJ6L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BUR54DME4BKXCSIIQ3PH5ILJ6L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BUR54DME4BKXCSIIQ3PH5ILJ6L","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":"49345a8b6c32e4151d1bbf4ca4a63ede238a7264004c28c0f30c253b65f80064","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2018-10-16T00:11:09Z","title_canon_sha256":"35b19eff81e6f63909d06d09a9f67521bc43f434781a19e30b3630f3226dbb01"},"schema_version":"1.0","source":{"id":"1810.06760","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06760","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06760v2","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06760","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"BUR54DME4BKX","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BUR54DME4BKXCSII","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BUR54DME","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:5e841dcd2376d8cbd9a9d42b941600860efdd88b2cb0b53d6e24d2fa80634fe9","target":"graph","created_at":"2026-05-17T23:59:04Z","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":"The purpose of this work is to generalize the frozen Gaussian approximation (FGA) theory to solve the 3-D elastic wave equation and use it as the forward modeling tool for seismic tomography with high-frequency data. FGA has been previously developed and verified as an efficient solver for high-frequency acoustic wave propagation (P-wave). The main contribution of this paper consists of three aspects: 1. We derive the FGA formulation for the 3-D elastic wave equation. Rather than standard ray-based methods (e.g. geometric optics and Gaussian beam method), the derivation requires to do asymptot","authors_text":"James C. Hateley, Lihui Chai, Ping Tong, Xu Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2018-10-16T00:11:09Z","title":"Frozen Gaussian Approximation for 3-D Elastic Wave Equation and Seismic Tomography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06760","kind":"arxiv","version":2},"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":"sha256:8e39ae678c9a8ee18696680bdeba1951a5bb0163170e752b7cceb6bd046add48","target":"record","created_at":"2026-05-17T23:59:04Z","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":"49345a8b6c32e4151d1bbf4ca4a63ede238a7264004c28c0f30c253b65f80064","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2018-10-16T00:11:09Z","title_canon_sha256":"35b19eff81e6f63909d06d09a9f67521bc43f434781a19e30b3630f3226dbb01"},"schema_version":"1.0","source":{"id":"1810.06760","kind":"arxiv","version":2}},"canonical_sha256":"0d23de0d84e05571490886de7ea169f2f4c54eb12c43b62f10ccad557b5fdcb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d23de0d84e05571490886de7ea169f2f4c54eb12c43b62f10ccad557b5fdcb8","first_computed_at":"2026-05-17T23:59:04.608116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:04.608116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sl66PdUOtF1BuMG34WAe7nX9jRNz9sM6aIVub0ff0vGYPMF14bnNFT53QaooAoWIoiIAupgyJeC7tN8xsqNbBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:04.608539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.06760","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e39ae678c9a8ee18696680bdeba1951a5bb0163170e752b7cceb6bd046add48","sha256:5e841dcd2376d8cbd9a9d42b941600860efdd88b2cb0b53d6e24d2fa80634fe9"],"state_sha256":"d639d23c68ce7e8a08172f8b4e12762886558e4966c12450a387e5aea06980b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hKv/RTxP/S0BMH2U1TpkwTq4+c5utAKcgioYzQq/Gd8jMJ+O3Vu/r2/NuANExafCDX87qSNhmKaibHLrk19dDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T10:56:34.717242Z","bundle_sha256":"252a76aedece56f62b5ea4f1777e8d909c3756916873a0bb76907543fbc96408"}}