{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:RG4ARJFRRQHUC4ZMMCXECBPZZC","short_pith_number":"pith:RG4ARJFR","canonical_record":{"source":{"id":"0908.1507","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-08-11T12:41:55Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"d807252642a1ec18aad17a66456b9937da4a513092cad660c4ed456076276c98","abstract_canon_sha256":"d9bdd204c49104ca18089e613b1250f7d8684ee3c193d663058df06e460967eb"},"schema_version":"1.0"},"canonical_sha256":"89b808a4b18c0f41732c60ae4105f9c88f3e5bafce8af4c060fa243c6bf60259","source":{"kind":"arxiv","id":"0908.1507","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.1507","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"0908.1507v1","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.1507","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"RG4ARJFRRQHU","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RG4ARJFRRQHUC4ZM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RG4ARJFR","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:RG4ARJFRRQHUC4ZMMCXECBPZZC","target":"record","payload":{"canonical_record":{"source":{"id":"0908.1507","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-08-11T12:41:55Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"d807252642a1ec18aad17a66456b9937da4a513092cad660c4ed456076276c98","abstract_canon_sha256":"d9bdd204c49104ca18089e613b1250f7d8684ee3c193d663058df06e460967eb"},"schema_version":"1.0"},"canonical_sha256":"89b808a4b18c0f41732c60ae4105f9c88f3e5bafce8af4c060fa243c6bf60259","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:56.221531Z","signature_b64":"lna9bVIaET3kiWLWgCUw5INglV0pNad28Haa07ZeEztIYyilke1TCxeXPkeNxvTyhlMhL+EJ9KznidRPVCG5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89b808a4b18c0f41732c60ae4105f9c88f3e5bafce8af4c060fa243c6bf60259","last_reissued_at":"2026-05-17T23:51:56.220984Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:56.220984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.1507","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":"2026-05-17T23:51:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GXKMVgY7ubJIm0oXh+TW8uEAzDdvcVx5nVO/E/lPg/IAT7IfrNUqqppyeFZXRQp6oH+zNhXweFpIYdMNxd59Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:38:45.473632Z"},"content_sha256":"e9a737dd21f2fc2229d57d0dfca8e5a35f04da9625ab7ed2556ecea85c111d2f","schema_version":"1.0","event_id":"sha256:e9a737dd21f2fc2229d57d0dfca8e5a35f04da9625ab7ed2556ecea85c111d2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:RG4ARJFRRQHUC4ZMMCXECBPZZC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic wave-splitting in anisotropic linear acoustics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"B. L. G. Jonsson, M. Norgren","submitted_at":"2009-08-11T12:41:55Z","abstract_excerpt":"Linear acoustic wave-splitting is an often used tool in describing sound-wave propagation through earth's subsurface. Earth's subsurface is in general anisotropic due to the presence of water-filled porous rocks. Due to the complexity and the implicitness of the wave-splitting solutions in anisotropic media, wave-splitting in seismic experiments is often modeled as isotropic. With the present paper, we have derived a simple wave-splitting procedure for an instantaneously reacting anisotropic media that includes spatial variation in depth, yielding both a traditional (approximate) and a `true a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.1507","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":"2026-05-17T23:51:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dRsp+QKO53pMbCUvZwaM7ZwoJ3YmXUnYqzknq9LYPZJaNRhLgjuc3840L2JQ5Wib2qTCU3XiJXyTcv68r6NxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:38:45.474304Z"},"content_sha256":"9a7ef2c46333c62583017b20f6762fd8027f621cd6fd6114ff8e2828884c196c","schema_version":"1.0","event_id":"sha256:9a7ef2c46333c62583017b20f6762fd8027f621cd6fd6114ff8e2828884c196c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RG4ARJFRRQHUC4ZMMCXECBPZZC/bundle.json","state_url":"https://pith.science/pith/RG4ARJFRRQHUC4ZMMCXECBPZZC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RG4ARJFRRQHUC4ZMMCXECBPZZC/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":"2026-06-10T05:38:45Z","links":{"resolver":"https://pith.science/pith/RG4ARJFRRQHUC4ZMMCXECBPZZC","bundle":"https://pith.science/pith/RG4ARJFRRQHUC4ZMMCXECBPZZC/bundle.json","state":"https://pith.science/pith/RG4ARJFRRQHUC4ZMMCXECBPZZC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RG4ARJFRRQHUC4ZMMCXECBPZZC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:RG4ARJFRRQHUC4ZMMCXECBPZZC","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":"d9bdd204c49104ca18089e613b1250f7d8684ee3c193d663058df06e460967eb","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-08-11T12:41:55Z","title_canon_sha256":"d807252642a1ec18aad17a66456b9937da4a513092cad660c4ed456076276c98"},"schema_version":"1.0","source":{"id":"0908.1507","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.1507","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"0908.1507v1","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.1507","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"RG4ARJFRRQHU","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RG4ARJFRRQHUC4ZM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RG4ARJFR","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:9a7ef2c46333c62583017b20f6762fd8027f621cd6fd6114ff8e2828884c196c","target":"graph","created_at":"2026-05-17T23:51:56Z","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":"Linear acoustic wave-splitting is an often used tool in describing sound-wave propagation through earth's subsurface. Earth's subsurface is in general anisotropic due to the presence of water-filled porous rocks. Due to the complexity and the implicitness of the wave-splitting solutions in anisotropic media, wave-splitting in seismic experiments is often modeled as isotropic. With the present paper, we have derived a simple wave-splitting procedure for an instantaneously reacting anisotropic media that includes spatial variation in depth, yielding both a traditional (approximate) and a `true a","authors_text":"B. L. G. Jonsson, M. Norgren","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-08-11T12:41:55Z","title":"Asymptotic wave-splitting in anisotropic linear acoustics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.1507","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:e9a737dd21f2fc2229d57d0dfca8e5a35f04da9625ab7ed2556ecea85c111d2f","target":"record","created_at":"2026-05-17T23:51:56Z","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":"d9bdd204c49104ca18089e613b1250f7d8684ee3c193d663058df06e460967eb","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-08-11T12:41:55Z","title_canon_sha256":"d807252642a1ec18aad17a66456b9937da4a513092cad660c4ed456076276c98"},"schema_version":"1.0","source":{"id":"0908.1507","kind":"arxiv","version":1}},"canonical_sha256":"89b808a4b18c0f41732c60ae4105f9c88f3e5bafce8af4c060fa243c6bf60259","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89b808a4b18c0f41732c60ae4105f9c88f3e5bafce8af4c060fa243c6bf60259","first_computed_at":"2026-05-17T23:51:56.220984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:56.220984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lna9bVIaET3kiWLWgCUw5INglV0pNad28Haa07ZeEztIYyilke1TCxeXPkeNxvTyhlMhL+EJ9KznidRPVCG5Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:56.221531Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.1507","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9a737dd21f2fc2229d57d0dfca8e5a35f04da9625ab7ed2556ecea85c111d2f","sha256:9a7ef2c46333c62583017b20f6762fd8027f621cd6fd6114ff8e2828884c196c"],"state_sha256":"ca98147400e4e4e781757087469f32f901cdaebc76a2d61e2f90dbea2666bae4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L1eojAgxF4tfbq+tN+ZhExXXUor5kPe1E581Dg4Ph2gcNE0EgZRXdp0t9t7wsYw9XoTrEUeuBQaJGgpdjIO2Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:38:45.478136Z","bundle_sha256":"40d31b20b61b437b90982ed8781dc9346156f9131e199437f9afc0caad5e0d57"}}