{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:577ZWZG7AAQ4FCJVBCK5QLQZS5","short_pith_number":"pith:577ZWZG7","canonical_record":{"source":{"id":"1406.1317","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-05T10:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"9b385f80e974fe5aa4b67cda2d43690abfc518d500d41982c01ac4d623f7ddc6","abstract_canon_sha256":"d8f33870659bda029a3b0ec07ccd225553df329b0855c83e60e4a75c33e60713"},"schema_version":"1.0"},"canonical_sha256":"efff9b64df0021c289350895d82e1997464bbb716f0dd1242131a30995e29617","source":{"kind":"arxiv","id":"1406.1317","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1317","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1317v1","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1317","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"577ZWZG7AAQ4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"577ZWZG7AAQ4FCJV","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"577ZWZG7","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:577ZWZG7AAQ4FCJVBCK5QLQZS5","target":"record","payload":{"canonical_record":{"source":{"id":"1406.1317","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-05T10:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"9b385f80e974fe5aa4b67cda2d43690abfc518d500d41982c01ac4d623f7ddc6","abstract_canon_sha256":"d8f33870659bda029a3b0ec07ccd225553df329b0855c83e60e4a75c33e60713"},"schema_version":"1.0"},"canonical_sha256":"efff9b64df0021c289350895d82e1997464bbb716f0dd1242131a30995e29617","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:01.931579Z","signature_b64":"47CZdKA9i7xEzAQM2zTU8ceJ2Twc2iU+1LemNZFmDJasgRYSZF6pAfW7b/m3QszEWidZw39ax05dMSD76idQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efff9b64df0021c289350895d82e1997464bbb716f0dd1242131a30995e29617","last_reissued_at":"2026-05-18T01:43:01.931140Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:01.931140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.1317","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":"2026-05-18T01:43:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e+0gxZGKIlhphtpSM4X9tuS8IpzyNZ9DtQdRvBBZQzRgMN7UHKXzHJs/o9yc4WQIvLGwkcC28C4Mq2bJbmm0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:52:15.950059Z"},"content_sha256":"aa176cc64b983620217848c848e77d8cebfd1b58b512dc3c42df224a4a21251d","schema_version":"1.0","event_id":"sha256:aa176cc64b983620217848c848e77d8cebfd1b58b512dc3c42df224a4a21251d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:577ZWZG7AAQ4FCJVBCK5QLQZS5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tumbling of a rigid rod in a shear flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"H.W.J. Bl\\\"ote, J.M.J. van Leeuwen","submitted_at":"2014-06-05T10:03:02Z","abstract_excerpt":"The tumbling of a rigid rod in a shear flow is analyzed in the high viscosity limit. Following Burgers, the Master Equation is derived for the probability distribution of the orientation of the rod. The equation contains one dimensionless number, the Weissenberg number, which is the ratio of the shear rate and the orientational diffusion constant. The equation is solved for the stationary state distribution for arbitrary Weissenberg numbers, in particular for the limit of high Weissenberg numbers. The stationary state gives an interesting flow pattern for the orientation of the rod, showing th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1317","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":"2026-05-18T01:43:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZlsOzOmfgVkjpbTHD81ekhkChnkGIHQQRJYklT9H5qu71ZbKypjvfSFjmmNF5H9PE36G89SEZ2QX9i4Ol1roDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:52:15.950419Z"},"content_sha256":"b8c955bd665a753d6e3d397cd71dfaad8df75d1fbb28927a9d99a1dd1f1278d4","schema_version":"1.0","event_id":"sha256:b8c955bd665a753d6e3d397cd71dfaad8df75d1fbb28927a9d99a1dd1f1278d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/577ZWZG7AAQ4FCJVBCK5QLQZS5/bundle.json","state_url":"https://pith.science/pith/577ZWZG7AAQ4FCJVBCK5QLQZS5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/577ZWZG7AAQ4FCJVBCK5QLQZS5/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":"2026-06-03T08:52:15Z","links":{"resolver":"https://pith.science/pith/577ZWZG7AAQ4FCJVBCK5QLQZS5","bundle":"https://pith.science/pith/577ZWZG7AAQ4FCJVBCK5QLQZS5/bundle.json","state":"https://pith.science/pith/577ZWZG7AAQ4FCJVBCK5QLQZS5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/577ZWZG7AAQ4FCJVBCK5QLQZS5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:577ZWZG7AAQ4FCJVBCK5QLQZS5","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":"d8f33870659bda029a3b0ec07ccd225553df329b0855c83e60e4a75c33e60713","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-05T10:03:02Z","title_canon_sha256":"9b385f80e974fe5aa4b67cda2d43690abfc518d500d41982c01ac4d623f7ddc6"},"schema_version":"1.0","source":{"id":"1406.1317","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1317","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1317v1","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1317","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"577ZWZG7AAQ4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"577ZWZG7AAQ4FCJV","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"577ZWZG7","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:b8c955bd665a753d6e3d397cd71dfaad8df75d1fbb28927a9d99a1dd1f1278d4","target":"graph","created_at":"2026-05-18T01:43:01Z","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 tumbling of a rigid rod in a shear flow is analyzed in the high viscosity limit. Following Burgers, the Master Equation is derived for the probability distribution of the orientation of the rod. The equation contains one dimensionless number, the Weissenberg number, which is the ratio of the shear rate and the orientational diffusion constant. The equation is solved for the stationary state distribution for arbitrary Weissenberg numbers, in particular for the limit of high Weissenberg numbers. The stationary state gives an interesting flow pattern for the orientation of the rod, showing th","authors_text":"H.W.J. Bl\\\"ote, J.M.J. van Leeuwen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-05T10:03:02Z","title":"Tumbling of a rigid rod in a shear flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1317","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:aa176cc64b983620217848c848e77d8cebfd1b58b512dc3c42df224a4a21251d","target":"record","created_at":"2026-05-18T01:43:01Z","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":"d8f33870659bda029a3b0ec07ccd225553df329b0855c83e60e4a75c33e60713","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-05T10:03:02Z","title_canon_sha256":"9b385f80e974fe5aa4b67cda2d43690abfc518d500d41982c01ac4d623f7ddc6"},"schema_version":"1.0","source":{"id":"1406.1317","kind":"arxiv","version":1}},"canonical_sha256":"efff9b64df0021c289350895d82e1997464bbb716f0dd1242131a30995e29617","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efff9b64df0021c289350895d82e1997464bbb716f0dd1242131a30995e29617","first_computed_at":"2026-05-18T01:43:01.931140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:01.931140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"47CZdKA9i7xEzAQM2zTU8ceJ2Twc2iU+1LemNZFmDJasgRYSZF6pAfW7b/m3QszEWidZw39ax05dMSD76idQAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:01.931579Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1317","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa176cc64b983620217848c848e77d8cebfd1b58b512dc3c42df224a4a21251d","sha256:b8c955bd665a753d6e3d397cd71dfaad8df75d1fbb28927a9d99a1dd1f1278d4"],"state_sha256":"01e2fb5a78baa914c2fb63b1f1aa78b65ad062e6c2b654ef55d32f6817033575"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p4Y43aRVttCu53YwXYFPw5sm71RMzEC3buFJtDSUw7KYwt1VFXIgbTqoUHxYECUD2DHKEyf4RgdouZuVsVU+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:52:15.952387Z","bundle_sha256":"a2911cd3ba2291fa06411637bf7c1c5d55fd339f8d6fa1e6404979221541051c"}}