{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:O6GQ75GIKEXDPJ5FGP7YJZE4MK","short_pith_number":"pith:O6GQ75GI","canonical_record":{"source":{"id":"1112.4593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-20T07:49:06Z","cross_cats_sorted":[],"title_canon_sha256":"54eae4cbf9c5fb189624cad8b5505131b91ef8c8d2b7e14ebab0e91885cea0b4","abstract_canon_sha256":"01a597fc53a11942989e46210eeb258b4e453a6dbaafa641f23b090c38574e62"},"schema_version":"1.0"},"canonical_sha256":"778d0ff4c8512e37a7a533ff84e49c62b18510c5f7f113a40b3bb90986c4477c","source":{"kind":"arxiv","id":"1112.4593","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4593","created_at":"2026-05-18T01:59:05Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4593v1","created_at":"2026-05-18T01:59:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4593","created_at":"2026-05-18T01:59:05Z"},{"alias_kind":"pith_short_12","alias_value":"O6GQ75GIKEXD","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"O6GQ75GIKEXDPJ5F","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"O6GQ75GI","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:O6GQ75GIKEXDPJ5FGP7YJZE4MK","target":"record","payload":{"canonical_record":{"source":{"id":"1112.4593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-20T07:49:06Z","cross_cats_sorted":[],"title_canon_sha256":"54eae4cbf9c5fb189624cad8b5505131b91ef8c8d2b7e14ebab0e91885cea0b4","abstract_canon_sha256":"01a597fc53a11942989e46210eeb258b4e453a6dbaafa641f23b090c38574e62"},"schema_version":"1.0"},"canonical_sha256":"778d0ff4c8512e37a7a533ff84e49c62b18510c5f7f113a40b3bb90986c4477c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:05.002048Z","signature_b64":"0GDqfNviJBtzrjLeYgLES0rLPgplv70OxHcOa4vTPLXv8W077WCFDIQouB/PDbj9nN8WJx/5ywCTfXO+vCtEBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"778d0ff4c8512e37a7a533ff84e49c62b18510c5f7f113a40b3bb90986c4477c","last_reissued_at":"2026-05-18T01:59:05.001453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:05.001453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.4593","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":"2026-05-18T01:59:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cHYGiWBL6EZ4bgw04cpV3XB/gmc69ldXJw9il4hwlsp06BUBKICu3fOQbckn3I3ln5vWfOXxdU8jlYYGYu+xDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:14:30.468347Z"},"content_sha256":"ba14f51edf81cdf9fb4080c049d6b945c7bf358231ea1db1555137597a12dbee","schema_version":"1.0","event_id":"sha256:ba14f51edf81cdf9fb4080c049d6b945c7bf358231ea1db1555137597a12dbee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:O6GQ75GIKEXDPJ5FGP7YJZE4MK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluid dynamics of dilatant fluid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Hiizu Nakanishi, Namiko Mitarai, Shin-ichiro Nagahiro","submitted_at":"2011-12-20T07:49:06Z","abstract_excerpt":"Dense mixture of granules and liquid often shows a sever shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of dispersed particles. With simple assumptions for an equation of the state variable, we demonstrate that the model can describe basic features of the dilatant fluid such as the stress-shear rate curve that represents discontinuous severe shear thickening, hysteresis upon changing shear rate, instantaneous hardening upon external impact. Analysis of the model revea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4593","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":"2026-05-18T01:59:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GeBqRYGJL4YxhwP29cj4vMmKVrXANb0oeJbatXf6kDxgMJjMFEg/QKjnO5wLXqdgXmngOmSE2DKbNfH+BU5PCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:14:30.469094Z"},"content_sha256":"ae443e38f2fc13683e97b2229e91c82fcf52bbc366604ad3538528c4b2178ae0","schema_version":"1.0","event_id":"sha256:ae443e38f2fc13683e97b2229e91c82fcf52bbc366604ad3538528c4b2178ae0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O6GQ75GIKEXDPJ5FGP7YJZE4MK/bundle.json","state_url":"https://pith.science/pith/O6GQ75GIKEXDPJ5FGP7YJZE4MK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O6GQ75GIKEXDPJ5FGP7YJZE4MK/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":"2026-06-06T13:14:30Z","links":{"resolver":"https://pith.science/pith/O6GQ75GIKEXDPJ5FGP7YJZE4MK","bundle":"https://pith.science/pith/O6GQ75GIKEXDPJ5FGP7YJZE4MK/bundle.json","state":"https://pith.science/pith/O6GQ75GIKEXDPJ5FGP7YJZE4MK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O6GQ75GIKEXDPJ5FGP7YJZE4MK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:O6GQ75GIKEXDPJ5FGP7YJZE4MK","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":"01a597fc53a11942989e46210eeb258b4e453a6dbaafa641f23b090c38574e62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-20T07:49:06Z","title_canon_sha256":"54eae4cbf9c5fb189624cad8b5505131b91ef8c8d2b7e14ebab0e91885cea0b4"},"schema_version":"1.0","source":{"id":"1112.4593","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4593","created_at":"2026-05-18T01:59:05Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4593v1","created_at":"2026-05-18T01:59:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4593","created_at":"2026-05-18T01:59:05Z"},{"alias_kind":"pith_short_12","alias_value":"O6GQ75GIKEXD","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"O6GQ75GIKEXDPJ5F","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"O6GQ75GI","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:ae443e38f2fc13683e97b2229e91c82fcf52bbc366604ad3538528c4b2178ae0","target":"graph","created_at":"2026-05-18T01:59:05Z","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":"Dense mixture of granules and liquid often shows a sever shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of dispersed particles. With simple assumptions for an equation of the state variable, we demonstrate that the model can describe basic features of the dilatant fluid such as the stress-shear rate curve that represents discontinuous severe shear thickening, hysteresis upon changing shear rate, instantaneous hardening upon external impact. Analysis of the model revea","authors_text":"Hiizu Nakanishi, Namiko Mitarai, Shin-ichiro Nagahiro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-20T07:49:06Z","title":"Fluid dynamics of dilatant fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4593","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:ba14f51edf81cdf9fb4080c049d6b945c7bf358231ea1db1555137597a12dbee","target":"record","created_at":"2026-05-18T01:59:05Z","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":"01a597fc53a11942989e46210eeb258b4e453a6dbaafa641f23b090c38574e62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-20T07:49:06Z","title_canon_sha256":"54eae4cbf9c5fb189624cad8b5505131b91ef8c8d2b7e14ebab0e91885cea0b4"},"schema_version":"1.0","source":{"id":"1112.4593","kind":"arxiv","version":1}},"canonical_sha256":"778d0ff4c8512e37a7a533ff84e49c62b18510c5f7f113a40b3bb90986c4477c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"778d0ff4c8512e37a7a533ff84e49c62b18510c5f7f113a40b3bb90986c4477c","first_computed_at":"2026-05-18T01:59:05.001453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:05.001453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0GDqfNviJBtzrjLeYgLES0rLPgplv70OxHcOa4vTPLXv8W077WCFDIQouB/PDbj9nN8WJx/5ywCTfXO+vCtEBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:05.002048Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4593","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba14f51edf81cdf9fb4080c049d6b945c7bf358231ea1db1555137597a12dbee","sha256:ae443e38f2fc13683e97b2229e91c82fcf52bbc366604ad3538528c4b2178ae0"],"state_sha256":"fbc47d5d50e58daa2e48f2d53fc8f36531ae6df1a7087fafdbd4fc96e2bc3fef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ngcj7pK/9azD3QlwWDIo8rULbrM6VQa9lPDDMKOEkYpBOfavz1bwJp55wY0tyspiqOWRt/TCkcArB7Jlh0YYCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T13:14:30.473373Z","bundle_sha256":"a67bb61dd58767a49ac3f5f4b5180cc3bb0ca4ec6e4b8639add1916b07efd122"}}