{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YNABU23TCJSYBPUTDPBYZH56X6","short_pith_number":"pith:YNABU23T","canonical_record":{"source":{"id":"1306.0823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-06-04T14:57:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9b6cd83c852d2ebdf9c8ff3831f2b9682ee707a8b042cb79f6403270bd6999c7","abstract_canon_sha256":"ad9425657857138d33fddb315c0d69bcc6d9e70601a8b9bcd2ed34dc795be9a6"},"schema_version":"1.0"},"canonical_sha256":"c3401a6b73126580be931bc38c9fbebfa80211a371d28c20b16d7880b8e9cb0e","source":{"kind":"arxiv","id":"1306.0823","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0823","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0823v1","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0823","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"pith_short_12","alias_value":"YNABU23TCJSY","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YNABU23TCJSYBPUT","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YNABU23T","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YNABU23TCJSYBPUTDPBYZH56X6","target":"record","payload":{"canonical_record":{"source":{"id":"1306.0823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-06-04T14:57:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9b6cd83c852d2ebdf9c8ff3831f2b9682ee707a8b042cb79f6403270bd6999c7","abstract_canon_sha256":"ad9425657857138d33fddb315c0d69bcc6d9e70601a8b9bcd2ed34dc795be9a6"},"schema_version":"1.0"},"canonical_sha256":"c3401a6b73126580be931bc38c9fbebfa80211a371d28c20b16d7880b8e9cb0e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:33.013563Z","signature_b64":"EtOtAIri+Ig/rqq0K7OZMmHaMfOvJkzOlxWSBdOi8BZXvq/NzLPLXX4OF7F4YVVtUzinBwSPIJi1fxakSoZaBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3401a6b73126580be931bc38c9fbebfa80211a371d28c20b16d7880b8e9cb0e","last_reissued_at":"2026-05-18T01:49:33.012843Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:33.012843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.0823","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":"2026-05-18T01:49:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ZLxKj6B8r032l27CEuyQt67DtbGrWRzBoEj2LxLTA28SbGJC3OUvWG9jTyL6SAAzNXtJKTHvIFp6w5o1jclDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:23:07.976878Z"},"content_sha256":"11f5c0dca3182ab07aac62a10ae07e66529edd5cd767f0fbc5007d115e972a9b","schema_version":"1.0","event_id":"sha256:11f5c0dca3182ab07aac62a10ae07e66529edd5cd767f0fbc5007d115e972a9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YNABU23TCJSYBPUTDPBYZH56X6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An asymptotic model in acoustics: acoustic drift equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.flu-dyn","authors_text":"Konstantin Ilin, Vladimir A. Vladimirov","submitted_at":"2013-06-04T14:57:01Z","abstract_excerpt":"A rigorous asymptotic procedure with the Mach number as a small parameter is used to derive the equations of mean flows which coexist and are affected by the background acoustic waves in the limit of very high Reynolds number."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0823","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":"2026-05-18T01:49:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yPN/rukJVRmawdTKYpZ3MS7HU2TxJpGhBs/hAx/Nc7DQe471S0HXo63udFy4/X+kxdZKPq9J94uVAE7W88IfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:23:07.977546Z"},"content_sha256":"4feee8f83b0bc5b02732a8d11dbeec8990453aa3af44b8d0a5108bd7a7b85dfc","schema_version":"1.0","event_id":"sha256:4feee8f83b0bc5b02732a8d11dbeec8990453aa3af44b8d0a5108bd7a7b85dfc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YNABU23TCJSYBPUTDPBYZH56X6/bundle.json","state_url":"https://pith.science/pith/YNABU23TCJSYBPUTDPBYZH56X6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YNABU23TCJSYBPUTDPBYZH56X6/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":"2026-05-30T20:23:07Z","links":{"resolver":"https://pith.science/pith/YNABU23TCJSYBPUTDPBYZH56X6","bundle":"https://pith.science/pith/YNABU23TCJSYBPUTDPBYZH56X6/bundle.json","state":"https://pith.science/pith/YNABU23TCJSYBPUTDPBYZH56X6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YNABU23TCJSYBPUTDPBYZH56X6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YNABU23TCJSYBPUTDPBYZH56X6","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":"ad9425657857138d33fddb315c0d69bcc6d9e70601a8b9bcd2ed34dc795be9a6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-06-04T14:57:01Z","title_canon_sha256":"9b6cd83c852d2ebdf9c8ff3831f2b9682ee707a8b042cb79f6403270bd6999c7"},"schema_version":"1.0","source":{"id":"1306.0823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0823","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0823v1","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0823","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"pith_short_12","alias_value":"YNABU23TCJSY","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YNABU23TCJSYBPUT","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YNABU23T","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:4feee8f83b0bc5b02732a8d11dbeec8990453aa3af44b8d0a5108bd7a7b85dfc","target":"graph","created_at":"2026-05-18T01:49:33Z","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":"A rigorous asymptotic procedure with the Mach number as a small parameter is used to derive the equations of mean flows which coexist and are affected by the background acoustic waves in the limit of very high Reynolds number.","authors_text":"Konstantin Ilin, Vladimir A. Vladimirov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-06-04T14:57:01Z","title":"An asymptotic model in acoustics: acoustic drift equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0823","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":"sha256:11f5c0dca3182ab07aac62a10ae07e66529edd5cd767f0fbc5007d115e972a9b","target":"record","created_at":"2026-05-18T01:49:33Z","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":"ad9425657857138d33fddb315c0d69bcc6d9e70601a8b9bcd2ed34dc795be9a6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-06-04T14:57:01Z","title_canon_sha256":"9b6cd83c852d2ebdf9c8ff3831f2b9682ee707a8b042cb79f6403270bd6999c7"},"schema_version":"1.0","source":{"id":"1306.0823","kind":"arxiv","version":1}},"canonical_sha256":"c3401a6b73126580be931bc38c9fbebfa80211a371d28c20b16d7880b8e9cb0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3401a6b73126580be931bc38c9fbebfa80211a371d28c20b16d7880b8e9cb0e","first_computed_at":"2026-05-18T01:49:33.012843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:33.012843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EtOtAIri+Ig/rqq0K7OZMmHaMfOvJkzOlxWSBdOi8BZXvq/NzLPLXX4OF7F4YVVtUzinBwSPIJi1fxakSoZaBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:33.013563Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:11f5c0dca3182ab07aac62a10ae07e66529edd5cd767f0fbc5007d115e972a9b","sha256:4feee8f83b0bc5b02732a8d11dbeec8990453aa3af44b8d0a5108bd7a7b85dfc"],"state_sha256":"d0a51265c5ac4aee51f9dff1b2ac91f9dd924c3d3e64a6eb3c2efb2fdea326a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fKYTltQyH4VE0EOI1JM4zamZOmrWmn7tkJq26cE3V/IYtKrzACKuXl7qnQ374PUpjepd9hzR/n9LyfBieeXWDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:23:07.981520Z","bundle_sha256":"c278783201748b57312edf88c85332d212a9fe6527698eecd8b6af9a6f56b439"}}