{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:VXKMYXTH5BXAKWSVP34ONRFZNR","short_pith_number":"pith:VXKMYXTH","canonical_record":{"source":{"id":"cond-mat/0106255","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2001-06-13T21:02:14Z","cross_cats_sorted":["gr-qc","physics.flu-dyn"],"title_canon_sha256":"83850a75fbf9b4933f83e97d731dba4a964ea7b8e34cd33ea91de9cf8aa58357","abstract_canon_sha256":"974fe76b128cf8d9c5544f4301498b91eb38f87b7549d2be529964c7de2e4008"},"schema_version":"1.0"},"canonical_sha256":"add4cc5e67e86e055a557ef8e6c4b96c6ab646ed040e6afe47aac8f81eb61c78","source":{"kind":"arxiv","id":"cond-mat/0106255","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0106255","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0106255v1","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0106255","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"VXKMYXTH5BXA","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"VXKMYXTH5BXAKWSV","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"VXKMYXTH","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:VXKMYXTH5BXAKWSVP34ONRFZNR","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0106255","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2001-06-13T21:02:14Z","cross_cats_sorted":["gr-qc","physics.flu-dyn"],"title_canon_sha256":"83850a75fbf9b4933f83e97d731dba4a964ea7b8e34cd33ea91de9cf8aa58357","abstract_canon_sha256":"974fe76b128cf8d9c5544f4301498b91eb38f87b7549d2be529964c7de2e4008"},"schema_version":"1.0"},"canonical_sha256":"add4cc5e67e86e055a557ef8e6c4b96c6ab646ed040e6afe47aac8f81eb61c78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:48.576673Z","signature_b64":"G88XPgz/Dalk99bMqjA6sVj5iVItQz8/ihEhBfDnndbLiz4bRFtFJ0Pvhk0E2QC6YT41wGC/NQcg+ka56RbhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"add4cc5e67e86e055a557ef8e6c4b96c6ab646ed040e6afe47aac8f81eb61c78","last_reissued_at":"2026-05-18T04:10:48.576285Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:48.576285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0106255","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":"2026-05-18T04:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f5EMqmjCkt9O6k7t3oOhZLe1USzGc8Y2RLiPIc2HcmcF/Iy3JK+fBRmJnyytWCyO0i9wH+UUT85oaDOJ0wTjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:05:20.349526Z"},"content_sha256":"07ee5e9faeead9153eacff918fc3443e657d726fcbded2655dc8c1e65542320b","schema_version":"1.0","event_id":"sha256:07ee5e9faeead9153eacff918fc3443e657d726fcbded2655dc8c1e65542320b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:VXKMYXTH5BXAKWSVP34ONRFZNR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wave Equation for Sound in Fluids with Vorticity","license":"","headline":"","cross_cats":["gr-qc","physics.flu-dyn"],"primary_cat":"cond-mat","authors_text":"Katrina Hibberd, Matt Visser, Michael Stone, Santiago Esteban Perez Bergliaffa","submitted_at":"2001-06-13T21:02:14Z","abstract_excerpt":"We use Clebsch potentials and an action principle to derive a closed system of gauge invariant equations for sound superposed on a general background flow. Our system reduces to the Unruh (1981) and Pierce (1990) wave equations when the flow is irrotational, or slowly varying. We illustrate our formalism by applying it to waves propagating in a uniformly rotating fluid where the sound modes hybridize with inertial waves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0106255","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":"2026-05-18T04:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Z3v5/opTOjkjIvZ152EA8CTtnLkG0GgzDscV0brh3cfNNazI+n+nsx+4IiaUEPjSiqDOAdOqB9gMhACq4kwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:05:20.349881Z"},"content_sha256":"26fc7d42148247ec5ecfa38d514f78b60fb762b09cb8b8c3b91691ae4a77f86a","schema_version":"1.0","event_id":"sha256:26fc7d42148247ec5ecfa38d514f78b60fb762b09cb8b8c3b91691ae4a77f86a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VXKMYXTH5BXAKWSVP34ONRFZNR/bundle.json","state_url":"https://pith.science/pith/VXKMYXTH5BXAKWSVP34ONRFZNR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VXKMYXTH5BXAKWSVP34ONRFZNR/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":"2026-05-30T00:05:20Z","links":{"resolver":"https://pith.science/pith/VXKMYXTH5BXAKWSVP34ONRFZNR","bundle":"https://pith.science/pith/VXKMYXTH5BXAKWSVP34ONRFZNR/bundle.json","state":"https://pith.science/pith/VXKMYXTH5BXAKWSVP34ONRFZNR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VXKMYXTH5BXAKWSVP34ONRFZNR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:VXKMYXTH5BXAKWSVP34ONRFZNR","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":"974fe76b128cf8d9c5544f4301498b91eb38f87b7549d2be529964c7de2e4008","cross_cats_sorted":["gr-qc","physics.flu-dyn"],"license":"","primary_cat":"cond-mat","submitted_at":"2001-06-13T21:02:14Z","title_canon_sha256":"83850a75fbf9b4933f83e97d731dba4a964ea7b8e34cd33ea91de9cf8aa58357"},"schema_version":"1.0","source":{"id":"cond-mat/0106255","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0106255","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0106255v1","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0106255","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"VXKMYXTH5BXA","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"VXKMYXTH5BXAKWSV","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"VXKMYXTH","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:26fc7d42148247ec5ecfa38d514f78b60fb762b09cb8b8c3b91691ae4a77f86a","target":"graph","created_at":"2026-05-18T04:10:48Z","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":"We use Clebsch potentials and an action principle to derive a closed system of gauge invariant equations for sound superposed on a general background flow. Our system reduces to the Unruh (1981) and Pierce (1990) wave equations when the flow is irrotational, or slowly varying. We illustrate our formalism by applying it to waves propagating in a uniformly rotating fluid where the sound modes hybridize with inertial waves.","authors_text":"Katrina Hibberd, Matt Visser, Michael Stone, Santiago Esteban Perez Bergliaffa","cross_cats":["gr-qc","physics.flu-dyn"],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2001-06-13T21:02:14Z","title":"Wave Equation for Sound in Fluids with Vorticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0106255","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":"sha256:07ee5e9faeead9153eacff918fc3443e657d726fcbded2655dc8c1e65542320b","target":"record","created_at":"2026-05-18T04:10:48Z","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":"974fe76b128cf8d9c5544f4301498b91eb38f87b7549d2be529964c7de2e4008","cross_cats_sorted":["gr-qc","physics.flu-dyn"],"license":"","primary_cat":"cond-mat","submitted_at":"2001-06-13T21:02:14Z","title_canon_sha256":"83850a75fbf9b4933f83e97d731dba4a964ea7b8e34cd33ea91de9cf8aa58357"},"schema_version":"1.0","source":{"id":"cond-mat/0106255","kind":"arxiv","version":1}},"canonical_sha256":"add4cc5e67e86e055a557ef8e6c4b96c6ab646ed040e6afe47aac8f81eb61c78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"add4cc5e67e86e055a557ef8e6c4b96c6ab646ed040e6afe47aac8f81eb61c78","first_computed_at":"2026-05-18T04:10:48.576285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:48.576285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G88XPgz/Dalk99bMqjA6sVj5iVItQz8/ihEhBfDnndbLiz4bRFtFJ0Pvhk0E2QC6YT41wGC/NQcg+ka56RbhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:48.576673Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0106255","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07ee5e9faeead9153eacff918fc3443e657d726fcbded2655dc8c1e65542320b","sha256:26fc7d42148247ec5ecfa38d514f78b60fb762b09cb8b8c3b91691ae4a77f86a"],"state_sha256":"229e7a19387346a65a289313af941d57d1d2dbd187c565194caaf2299ee4c476"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GXwWFS8k0PzaAPfSBzQM2FQ4OUCGDc2eXgAppfyv0seUeqwn/v3HuzCkuVTHONTL9g8VXXRTZsdmqcbnfH1qBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:05:20.352376Z","bundle_sha256":"295e7ed2ce58214d5cc7850170dc94d47b717885b86d4ac3f0bdb2165e3b6536"}}