{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:7QKFOX7MVQUVZCVB57DT57F3PV","short_pith_number":"pith:7QKFOX7M","canonical_record":{"source":{"id":"physics/0102002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2001-02-01T07:54:14Z","cross_cats_sorted":[],"title_canon_sha256":"712a1f9cae0ecb25ebef392e76f2bb239bdc17eda72ae5eb0152e0bd195c3f68","abstract_canon_sha256":"bca16191ccf528d86bc1e3b4e463973ed4b8294035a217746419bbf192f32094"},"schema_version":"1.0"},"canonical_sha256":"fc14575fecac295c8aa1efc73efcbb7d59e8e7a4eb3fecd880afc5803252228c","source":{"kind":"arxiv","id":"physics/0102002","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0102002","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0102002v1","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0102002","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"pith_short_12","alias_value":"7QKFOX7MVQUV","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"pith_short_16","alias_value":"7QKFOX7MVQUVZCVB","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"pith_short_8","alias_value":"7QKFOX7M","created_at":"2026-07-04T14:43:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:7QKFOX7MVQUVZCVB57DT57F3PV","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0102002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2001-02-01T07:54:14Z","cross_cats_sorted":[],"title_canon_sha256":"712a1f9cae0ecb25ebef392e76f2bb239bdc17eda72ae5eb0152e0bd195c3f68","abstract_canon_sha256":"bca16191ccf528d86bc1e3b4e463973ed4b8294035a217746419bbf192f32094"},"schema_version":"1.0"},"canonical_sha256":"fc14575fecac295c8aa1efc73efcbb7d59e8e7a4eb3fecd880afc5803252228c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:43:24.391303Z","signature_b64":"LJ9kvNHQ3OdOyk0jK7RXdoJ0cyEiHRa1TF9ozgsPCeAQ0+ywjjpjE7V51tX5W72hvq00Iydk+Xf3jUsf6pwyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc14575fecac295c8aa1efc73efcbb7d59e8e7a4eb3fecd880afc5803252228c","last_reissued_at":"2026-07-04T14:43:24.390938Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:43:24.390938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0102002","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":"2026-07-04T14:43:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A3QFkC0AsG4rOlNf6IGW+1HO9qxApmaAI0HkIMZnzjcaARe80oXslHrP0wfPMfXvQG24Jxy65GE2mTAwBNRzAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:55:53.948854Z"},"content_sha256":"f14213e2b7f969a96f0b955ee293a34fff9a22c9214b5b6886521cc8a6f39ce6","schema_version":"1.0","event_id":"sha256:f14213e2b7f969a96f0b955ee293a34fff9a22c9214b5b6886521cc8a6f39ce6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:7QKFOX7MVQUVZCVB57DT57F3PV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some closed form solutions to the Navier Stokes equations","license":"","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"R. M. Kiehn","submitted_at":"2001-02-01T07:54:14Z","abstract_excerpt":"An algorithm for generating a class of closed form solutions to the Navier-Stokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations, flow reversal, and hysteresis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0102002","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/physics/0102002/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:43:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sbg350/ji8h2J4o8Pd5LGIt3hcZQvRDehJkKEzE9To+SpA/f90ydTRslfurJbZu4/eS4OwYa9YMo+dCwAaMcBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:55:53.949387Z"},"content_sha256":"d29319ee6c4874eee00855d7077f77a2e7c8c1dd01edf3c7ab19b61b8d671636","schema_version":"1.0","event_id":"sha256:d29319ee6c4874eee00855d7077f77a2e7c8c1dd01edf3c7ab19b61b8d671636"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7QKFOX7MVQUVZCVB57DT57F3PV/bundle.json","state_url":"https://pith.science/pith/7QKFOX7MVQUVZCVB57DT57F3PV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7QKFOX7MVQUVZCVB57DT57F3PV/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":"2026-08-09T05:55:53Z","links":{"resolver":"https://pith.science/pith/7QKFOX7MVQUVZCVB57DT57F3PV","bundle":"https://pith.science/pith/7QKFOX7MVQUVZCVB57DT57F3PV/bundle.json","state":"https://pith.science/pith/7QKFOX7MVQUVZCVB57DT57F3PV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7QKFOX7MVQUVZCVB57DT57F3PV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:7QKFOX7MVQUVZCVB57DT57F3PV","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":"bca16191ccf528d86bc1e3b4e463973ed4b8294035a217746419bbf192f32094","cross_cats_sorted":[],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2001-02-01T07:54:14Z","title_canon_sha256":"712a1f9cae0ecb25ebef392e76f2bb239bdc17eda72ae5eb0152e0bd195c3f68"},"schema_version":"1.0","source":{"id":"physics/0102002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0102002","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0102002v1","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0102002","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"pith_short_12","alias_value":"7QKFOX7MVQUV","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"pith_short_16","alias_value":"7QKFOX7MVQUVZCVB","created_at":"2026-07-04T14:43:24Z"},{"alias_kind":"pith_short_8","alias_value":"7QKFOX7M","created_at":"2026-07-04T14:43:24Z"}],"graph_snapshots":[{"event_id":"sha256:d29319ee6c4874eee00855d7077f77a2e7c8c1dd01edf3c7ab19b61b8d671636","target":"graph","created_at":"2026-07-04T14:43:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/physics/0102002/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An algorithm for generating a class of closed form solutions to the Navier-Stokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations, flow reversal, and hysteresis.","authors_text":"R. M. Kiehn","cross_cats":[],"headline":"","license":"","primary_cat":"physics.flu-dyn","submitted_at":"2001-02-01T07:54:14Z","title":"Some closed form solutions to the Navier Stokes equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0102002","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:f14213e2b7f969a96f0b955ee293a34fff9a22c9214b5b6886521cc8a6f39ce6","target":"record","created_at":"2026-07-04T14:43:24Z","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":"bca16191ccf528d86bc1e3b4e463973ed4b8294035a217746419bbf192f32094","cross_cats_sorted":[],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2001-02-01T07:54:14Z","title_canon_sha256":"712a1f9cae0ecb25ebef392e76f2bb239bdc17eda72ae5eb0152e0bd195c3f68"},"schema_version":"1.0","source":{"id":"physics/0102002","kind":"arxiv","version":1}},"canonical_sha256":"fc14575fecac295c8aa1efc73efcbb7d59e8e7a4eb3fecd880afc5803252228c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc14575fecac295c8aa1efc73efcbb7d59e8e7a4eb3fecd880afc5803252228c","first_computed_at":"2026-07-04T14:43:24.390938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:43:24.390938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LJ9kvNHQ3OdOyk0jK7RXdoJ0cyEiHRa1TF9ozgsPCeAQ0+ywjjpjE7V51tX5W72hvq00Iydk+Xf3jUsf6pwyBw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:43:24.391303Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0102002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f14213e2b7f969a96f0b955ee293a34fff9a22c9214b5b6886521cc8a6f39ce6","sha256:d29319ee6c4874eee00855d7077f77a2e7c8c1dd01edf3c7ab19b61b8d671636"],"state_sha256":"3ef9dd73ef02a672654c52b27cb60dc2e0605d1a91789ff8a0b37fcaf40a63e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yFmymrSz2I23EcuCWQJYGo132i3oZt1+1kPEbYIXAteHz2AMKckThOjqdP+vSqOvBko869bqGJL5+xMJfMnmDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T05:55:53.952630Z","bundle_sha256":"5634062d5a49caf460a341e56a4a1dd82a20722cf53c93939c95351a7948ed56"}}