{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:6VSZKWH63KMRGO7NC4I4AJFIPI","short_pith_number":"pith:6VSZKWH6","canonical_record":{"source":{"id":"gr-qc/0405062","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-05-12T04:54:18Z","cross_cats_sorted":[],"title_canon_sha256":"a3e6b4f1eed70c8aa0e62e0abb0c37197c9503666611707f0c9b2ba72dee3f8a","abstract_canon_sha256":"5ef13f5b7a096274e4cc7d8e2d319e5c6e6b23c5046ab0fc71c4543c714494d9"},"schema_version":"1.0"},"canonical_sha256":"f5659558feda99133bed1711c024a87a35c93806e1c620754d2549ea5d8311a1","source":{"kind":"arxiv","id":"gr-qc/0405062","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0405062","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0405062v2","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0405062","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"pith_short_12","alias_value":"6VSZKWH63KMR","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"6VSZKWH63KMRGO7N","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"6VSZKWH6","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:6VSZKWH63KMRGO7NC4I4AJFIPI","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0405062","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-05-12T04:54:18Z","cross_cats_sorted":[],"title_canon_sha256":"a3e6b4f1eed70c8aa0e62e0abb0c37197c9503666611707f0c9b2ba72dee3f8a","abstract_canon_sha256":"5ef13f5b7a096274e4cc7d8e2d319e5c6e6b23c5046ab0fc71c4543c714494d9"},"schema_version":"1.0"},"canonical_sha256":"f5659558feda99133bed1711c024a87a35c93806e1c620754d2549ea5d8311a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:30.103168Z","signature_b64":"o6dC9ZRgrBMHkYlfLM2LMmMbsFDrCAxXEKwaGfZkjoyMWZc0P5beUkGbhryhHvOH+gd48067tPAvsHQeXJ+ZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5659558feda99133bed1711c024a87a35c93806e1c620754d2549ea5d8311a1","last_reissued_at":"2026-05-18T02:37:30.102763Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:30.102763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0405062","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":"2026-05-18T02:37:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l1ENTlv0w/qd3EKaEF/C3GUvRZfbLo5ncAFvhRXNijv3B6idf6K0bwQ4Int4oybfpx6rNez3DHZciul4yOBrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:42:19.959131Z"},"content_sha256":"9208b8f6d3bac07a9d67e7980c885d32af1d0ecbe065b257e44c4bcb88cc3825","schema_version":"1.0","event_id":"sha256:9208b8f6d3bac07a9d67e7980c885d32af1d0ecbe065b257e44c4bcb88cc3825"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:6VSZKWH63KMRGO7NC4I4AJFIPI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Riemannian geometry of vortex acoustics","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"L.C. Garcia de Andrade","submitted_at":"2004-05-12T04:54:18Z","abstract_excerpt":"The concept of acoustic metric introduced previously by Unruh (PRL-1981) is extended to include Cartan torsion by analogy with the scalar wave equation in Riemann-Cartan (RC) spacetime. This equation describes irrotational perturbations in rotational non-relativistic fluids. This physical motivation allows us to show that the acoustic line element can be conformally mapped to the line element of a stationary torsion loop in non-Riemannian gravity. Two examples of such sonic analogues are given. The first is when we choose the static torsion loop in teleparallel gravity. In this case Cartan tor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0405062","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":"2026-05-18T02:37:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8NhUa9zC9t1O8G6pxf244f1ZlE7YOzMRi3vKD1EeN6hzvjm/6PZimFUVNJwrQbYBM8CcYgObXK9q7r+fdDABCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:42:19.959505Z"},"content_sha256":"0f7a6787f8bb94acb190f9732e013a785013fb2a039d31ff35a543e8b0309909","schema_version":"1.0","event_id":"sha256:0f7a6787f8bb94acb190f9732e013a785013fb2a039d31ff35a543e8b0309909"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6VSZKWH63KMRGO7NC4I4AJFIPI/bundle.json","state_url":"https://pith.science/pith/6VSZKWH63KMRGO7NC4I4AJFIPI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6VSZKWH63KMRGO7NC4I4AJFIPI/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":"2026-06-26T08:42:19Z","links":{"resolver":"https://pith.science/pith/6VSZKWH63KMRGO7NC4I4AJFIPI","bundle":"https://pith.science/pith/6VSZKWH63KMRGO7NC4I4AJFIPI/bundle.json","state":"https://pith.science/pith/6VSZKWH63KMRGO7NC4I4AJFIPI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6VSZKWH63KMRGO7NC4I4AJFIPI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:6VSZKWH63KMRGO7NC4I4AJFIPI","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":"5ef13f5b7a096274e4cc7d8e2d319e5c6e6b23c5046ab0fc71c4543c714494d9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2004-05-12T04:54:18Z","title_canon_sha256":"a3e6b4f1eed70c8aa0e62e0abb0c37197c9503666611707f0c9b2ba72dee3f8a"},"schema_version":"1.0","source":{"id":"gr-qc/0405062","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0405062","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0405062v2","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0405062","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"pith_short_12","alias_value":"6VSZKWH63KMR","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"6VSZKWH63KMRGO7N","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"6VSZKWH6","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:0f7a6787f8bb94acb190f9732e013a785013fb2a039d31ff35a543e8b0309909","target":"graph","created_at":"2026-05-18T02:37:30Z","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 concept of acoustic metric introduced previously by Unruh (PRL-1981) is extended to include Cartan torsion by analogy with the scalar wave equation in Riemann-Cartan (RC) spacetime. This equation describes irrotational perturbations in rotational non-relativistic fluids. This physical motivation allows us to show that the acoustic line element can be conformally mapped to the line element of a stationary torsion loop in non-Riemannian gravity. Two examples of such sonic analogues are given. The first is when we choose the static torsion loop in teleparallel gravity. In this case Cartan tor","authors_text":"L.C. Garcia de Andrade","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2004-05-12T04:54:18Z","title":"Non-Riemannian geometry of vortex acoustics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0405062","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":"sha256:9208b8f6d3bac07a9d67e7980c885d32af1d0ecbe065b257e44c4bcb88cc3825","target":"record","created_at":"2026-05-18T02:37:30Z","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":"5ef13f5b7a096274e4cc7d8e2d319e5c6e6b23c5046ab0fc71c4543c714494d9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2004-05-12T04:54:18Z","title_canon_sha256":"a3e6b4f1eed70c8aa0e62e0abb0c37197c9503666611707f0c9b2ba72dee3f8a"},"schema_version":"1.0","source":{"id":"gr-qc/0405062","kind":"arxiv","version":2}},"canonical_sha256":"f5659558feda99133bed1711c024a87a35c93806e1c620754d2549ea5d8311a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5659558feda99133bed1711c024a87a35c93806e1c620754d2549ea5d8311a1","first_computed_at":"2026-05-18T02:37:30.102763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:30.102763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o6dC9ZRgrBMHkYlfLM2LMmMbsFDrCAxXEKwaGfZkjoyMWZc0P5beUkGbhryhHvOH+gd48067tPAvsHQeXJ+ZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:30.103168Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0405062","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9208b8f6d3bac07a9d67e7980c885d32af1d0ecbe065b257e44c4bcb88cc3825","sha256:0f7a6787f8bb94acb190f9732e013a785013fb2a039d31ff35a543e8b0309909"],"state_sha256":"599dac2bef92893261c997b082e6a287288fb73555947ad8377ee9a9ff6f6665"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2twfn2QJAgf3ST86tOU7eIYTBYkXe8y4FTDv4bEJOcA0hjqvGD3mp8hXUHCQ9BFAtVsOr14X47fsPyd6sE4KCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T08:42:19.961475Z","bundle_sha256":"af32b28b6446d5ae9c12a9bd6b2d1d88fe5e91f0cde8404d75f5a9f1405d93af"}}