{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:OINPIRMPL2QU3IBEKKSSUYJELZ","short_pith_number":"pith:OINPIRMP","canonical_record":{"source":{"id":"physics/0702196","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2007-02-22T22:45:34Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"d3856b7a306410a0ca1d9b6ebf6202cbdd6f320357e5cf5cc8a4bdadf212e7d7","abstract_canon_sha256":"3d74842190d6c6d660bbbcf9aefc2b7f4170c3a21a302c840d01cc3792fc7344"},"schema_version":"1.0"},"canonical_sha256":"721af4458f5ea14da02452a52a61245e7b33b6dd0c85c22332b8e1ffcc615b18","source":{"kind":"arxiv","id":"physics/0702196","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0702196","created_at":"2026-05-18T01:38:04Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0702196v1","created_at":"2026-05-18T01:38:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0702196","created_at":"2026-05-18T01:38:04Z"},{"alias_kind":"pith_short_12","alias_value":"OINPIRMPL2QU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"OINPIRMPL2QU3IBE","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"OINPIRMP","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:OINPIRMPL2QU3IBEKKSSUYJELZ","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0702196","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2007-02-22T22:45:34Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"d3856b7a306410a0ca1d9b6ebf6202cbdd6f320357e5cf5cc8a4bdadf212e7d7","abstract_canon_sha256":"3d74842190d6c6d660bbbcf9aefc2b7f4170c3a21a302c840d01cc3792fc7344"},"schema_version":"1.0"},"canonical_sha256":"721af4458f5ea14da02452a52a61245e7b33b6dd0c85c22332b8e1ffcc615b18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:04.690188Z","signature_b64":"C9g4IyIPcBPj6/9C2HuTer7MrB99+O+0b5krwtNTSrN4k8+wt2ff0IC3FCSxjn51v7ZB8uTWLsBMggMO3DweAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"721af4458f5ea14da02452a52a61245e7b33b6dd0c85c22332b8e1ffcc615b18","last_reissued_at":"2026-05-18T01:38:04.689666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:04.689666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0702196","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":"2026-05-18T01:38:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mlKX1i3ZQO8wnPXBRSsd3+oCketARfW21Ev97p8/XwuBgf1N1XdY0DEgh8pEmZgdqvRcaGxEmbrod61RX/FpAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:27:53.931686Z"},"content_sha256":"97db6ae17b9392d3e874b3ba7d2a55456a123225e111ab93f2c06d39315c51cd","schema_version":"1.0","event_id":"sha256:97db6ae17b9392d3e874b3ba7d2a55456a123225e111ab93f2c06d39315c51cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:OINPIRMPL2QU3IBEKKSSUYJELZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A study of the Navier-Stokes-alpha model for two-dimensional turbulence","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"E. Lunasin, E. Titi, M. Taylor, S. Kurien","submitted_at":"2007-02-22T22:45:34Z","abstract_excerpt":"For wavenumbers k such that k * alpha > 1, corresponding to spatial scales smaller than alpha, there are three candidate power laws for the energy spectrum of the Navier-Stokes-alpha model, corresponding to three possible dynamical eddy turnover time scales in the model equations: one from the smoothed field, the second from the rough field and the third from a special combination of the two. Using two-dimensional turbulence as a test case, we measure the scaling of the spectra from high-resolution simulations of the Navier-Stokes-alpha model, in the limit as alpha goes to infinity. We show th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0702196","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":"2026-05-18T01:38:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wt2Dcs7CEUk/B5ouC223H5dvivXqz/S8ZOM+24elswOZ4BYJ3lHCDsbOJqfEme7zkHyJNzySt+kqm2yU7VGXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:27:53.932278Z"},"content_sha256":"5cf66e7023c9181602627d9ed2521e0f974bd373dd336b9c30956e7eb423da07","schema_version":"1.0","event_id":"sha256:5cf66e7023c9181602627d9ed2521e0f974bd373dd336b9c30956e7eb423da07"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OINPIRMPL2QU3IBEKKSSUYJELZ/bundle.json","state_url":"https://pith.science/pith/OINPIRMPL2QU3IBEKKSSUYJELZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OINPIRMPL2QU3IBEKKSSUYJELZ/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":"2026-06-05T21:27:53Z","links":{"resolver":"https://pith.science/pith/OINPIRMPL2QU3IBEKKSSUYJELZ","bundle":"https://pith.science/pith/OINPIRMPL2QU3IBEKKSSUYJELZ/bundle.json","state":"https://pith.science/pith/OINPIRMPL2QU3IBEKKSSUYJELZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OINPIRMPL2QU3IBEKKSSUYJELZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:OINPIRMPL2QU3IBEKKSSUYJELZ","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":"3d74842190d6c6d660bbbcf9aefc2b7f4170c3a21a302c840d01cc3792fc7344","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2007-02-22T22:45:34Z","title_canon_sha256":"d3856b7a306410a0ca1d9b6ebf6202cbdd6f320357e5cf5cc8a4bdadf212e7d7"},"schema_version":"1.0","source":{"id":"physics/0702196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0702196","created_at":"2026-05-18T01:38:04Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0702196v1","created_at":"2026-05-18T01:38:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0702196","created_at":"2026-05-18T01:38:04Z"},{"alias_kind":"pith_short_12","alias_value":"OINPIRMPL2QU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"OINPIRMPL2QU3IBE","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"OINPIRMP","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:5cf66e7023c9181602627d9ed2521e0f974bd373dd336b9c30956e7eb423da07","target":"graph","created_at":"2026-05-18T01:38:04Z","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":"For wavenumbers k such that k * alpha > 1, corresponding to spatial scales smaller than alpha, there are three candidate power laws for the energy spectrum of the Navier-Stokes-alpha model, corresponding to three possible dynamical eddy turnover time scales in the model equations: one from the smoothed field, the second from the rough field and the third from a special combination of the two. Using two-dimensional turbulence as a test case, we measure the scaling of the spectra from high-resolution simulations of the Navier-Stokes-alpha model, in the limit as alpha goes to infinity. We show th","authors_text":"E. Lunasin, E. Titi, M. Taylor, S. Kurien","cross_cats":["nlin.CD"],"headline":"","license":"","primary_cat":"physics.flu-dyn","submitted_at":"2007-02-22T22:45:34Z","title":"A study of the Navier-Stokes-alpha model for two-dimensional turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0702196","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":"sha256:97db6ae17b9392d3e874b3ba7d2a55456a123225e111ab93f2c06d39315c51cd","target":"record","created_at":"2026-05-18T01:38:04Z","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":"3d74842190d6c6d660bbbcf9aefc2b7f4170c3a21a302c840d01cc3792fc7344","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2007-02-22T22:45:34Z","title_canon_sha256":"d3856b7a306410a0ca1d9b6ebf6202cbdd6f320357e5cf5cc8a4bdadf212e7d7"},"schema_version":"1.0","source":{"id":"physics/0702196","kind":"arxiv","version":1}},"canonical_sha256":"721af4458f5ea14da02452a52a61245e7b33b6dd0c85c22332b8e1ffcc615b18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"721af4458f5ea14da02452a52a61245e7b33b6dd0c85c22332b8e1ffcc615b18","first_computed_at":"2026-05-18T01:38:04.689666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:04.689666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C9g4IyIPcBPj6/9C2HuTer7MrB99+O+0b5krwtNTSrN4k8+wt2ff0IC3FCSxjn51v7ZB8uTWLsBMggMO3DweAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:04.690188Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0702196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97db6ae17b9392d3e874b3ba7d2a55456a123225e111ab93f2c06d39315c51cd","sha256:5cf66e7023c9181602627d9ed2521e0f974bd373dd336b9c30956e7eb423da07"],"state_sha256":"79798dfa2c53b2980378b52b2b909da03c370258f897acc19ede1f3b92a2ea63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"upTkIKgsQD4N8Kxo1G4WpMEPZ+1YYdT6Li5oR7KQ9+S31QS7jNeH8aoAvCOayuPzNeC9em8mQDQ6pYVWfBnBBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:27:53.935040Z","bundle_sha256":"6e535d01e064d4bf56eaf76267b78b401c28be0ad03c01ce308a6aa0e8cfe08f"}}