{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:74FNCKPI7CVMOBBTE7HSXDYS6G","short_pith_number":"pith:74FNCKPI","canonical_record":{"source":{"id":"1511.00455","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-11-02T11:45:04Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"15f9173eec63c4461d81061d9b98eec0a8a877524132dbfb6babdda68a734c64","abstract_canon_sha256":"ea4d9b38d810480afbe35cab9024f3e85b184b3d5c1174f573c1303139c98ed6"},"schema_version":"1.0"},"canonical_sha256":"ff0ad129e8f8aac7043327cf2b8f12f1acb91b0ee426dd2cc7adc678bee46ead","source":{"kind":"arxiv","id":"1511.00455","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00455","created_at":"2026-05-18T01:14:17Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00455v3","created_at":"2026-05-18T01:14:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00455","created_at":"2026-05-18T01:14:17Z"},{"alias_kind":"pith_short_12","alias_value":"74FNCKPI7CVM","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"74FNCKPI7CVMOBBT","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"74FNCKPI","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:74FNCKPI7CVMOBBTE7HSXDYS6G","target":"record","payload":{"canonical_record":{"source":{"id":"1511.00455","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-11-02T11:45:04Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"15f9173eec63c4461d81061d9b98eec0a8a877524132dbfb6babdda68a734c64","abstract_canon_sha256":"ea4d9b38d810480afbe35cab9024f3e85b184b3d5c1174f573c1303139c98ed6"},"schema_version":"1.0"},"canonical_sha256":"ff0ad129e8f8aac7043327cf2b8f12f1acb91b0ee426dd2cc7adc678bee46ead","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:17.723926Z","signature_b64":"cHedUdCwJ7QAgLBF/g3lyAsz/n/GCkOIz5TA/u9IXj+BUoU0Wl5ulpEqsaAmPduxz74SQoMqJtKrSBeGnG+XBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff0ad129e8f8aac7043327cf2b8f12f1acb91b0ee426dd2cc7adc678bee46ead","last_reissued_at":"2026-05-18T01:14:17.723442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:17.723442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.00455","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:14:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zebQ9VHtYllvoXHaR49g/VwwL3JLPAn9b3+oI65sQxJdLbWSW80bEKi64dMJbrXnfX+DOhfZRnYTfpYy5jUpDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:46:50.343753Z"},"content_sha256":"4f3e56f6835baf22e6e7a1eb80b9b6514f8e1eebcadf51a56753d667ab7b7555","schema_version":"1.0","event_id":"sha256:4f3e56f6835baf22e6e7a1eb80b9b6514f8e1eebcadf51a56753d667ab7b7555"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:74FNCKPI7CVMOBBTE7HSXDYS6G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The hard-disk fluid revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hanqing Zhao, Hong Zhao","submitted_at":"2015-11-02T11:45:04Z","abstract_excerpt":"The hard-disk model plays a role of touchstone for testing and developing the transport theory. By large scale molecular dynamics simulations of this model, three important autocorrelation functions, and as a result the corresponding transport coefficients, i.e., the diffusion constant, the thermal conductivity and the shear viscosity, are found to deviate significantly from the predictions of the conventional transport theory beyond the dilute limit. To improve the theory, we consider both the kinetic process and the hydrodynamic process in the whole time range, rather than each process in a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00455","kind":"arxiv","version":3},"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":"2026-05-18T01:14:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KNCNI1PTkGnnRxSNZr3ytM1+jEIGtSOdb8K7EmfnWM6MxQD7gnBDchFtCbTpSJpTxt0jJHISC9gcWMclTPbaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:46:50.344431Z"},"content_sha256":"86b38815dbb23fcd047f8442fd96082ae9a40ab1b94ec2607937a1fe26b4502c","schema_version":"1.0","event_id":"sha256:86b38815dbb23fcd047f8442fd96082ae9a40ab1b94ec2607937a1fe26b4502c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/74FNCKPI7CVMOBBTE7HSXDYS6G/bundle.json","state_url":"https://pith.science/pith/74FNCKPI7CVMOBBTE7HSXDYS6G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/74FNCKPI7CVMOBBTE7HSXDYS6G/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":"2026-06-07T11:46:50Z","links":{"resolver":"https://pith.science/pith/74FNCKPI7CVMOBBTE7HSXDYS6G","bundle":"https://pith.science/pith/74FNCKPI7CVMOBBTE7HSXDYS6G/bundle.json","state":"https://pith.science/pith/74FNCKPI7CVMOBBTE7HSXDYS6G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/74FNCKPI7CVMOBBTE7HSXDYS6G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:74FNCKPI7CVMOBBTE7HSXDYS6G","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":"ea4d9b38d810480afbe35cab9024f3e85b184b3d5c1174f573c1303139c98ed6","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-11-02T11:45:04Z","title_canon_sha256":"15f9173eec63c4461d81061d9b98eec0a8a877524132dbfb6babdda68a734c64"},"schema_version":"1.0","source":{"id":"1511.00455","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00455","created_at":"2026-05-18T01:14:17Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00455v3","created_at":"2026-05-18T01:14:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00455","created_at":"2026-05-18T01:14:17Z"},{"alias_kind":"pith_short_12","alias_value":"74FNCKPI7CVM","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"74FNCKPI7CVMOBBT","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"74FNCKPI","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:86b38815dbb23fcd047f8442fd96082ae9a40ab1b94ec2607937a1fe26b4502c","target":"graph","created_at":"2026-05-18T01:14:17Z","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 hard-disk model plays a role of touchstone for testing and developing the transport theory. By large scale molecular dynamics simulations of this model, three important autocorrelation functions, and as a result the corresponding transport coefficients, i.e., the diffusion constant, the thermal conductivity and the shear viscosity, are found to deviate significantly from the predictions of the conventional transport theory beyond the dilute limit. To improve the theory, we consider both the kinetic process and the hydrodynamic process in the whole time range, rather than each process in a ","authors_text":"Hanqing Zhao, Hong Zhao","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-11-02T11:45:04Z","title":"The hard-disk fluid revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00455","kind":"arxiv","version":3},"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":"sha256:4f3e56f6835baf22e6e7a1eb80b9b6514f8e1eebcadf51a56753d667ab7b7555","target":"record","created_at":"2026-05-18T01:14:17Z","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":"ea4d9b38d810480afbe35cab9024f3e85b184b3d5c1174f573c1303139c98ed6","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-11-02T11:45:04Z","title_canon_sha256":"15f9173eec63c4461d81061d9b98eec0a8a877524132dbfb6babdda68a734c64"},"schema_version":"1.0","source":{"id":"1511.00455","kind":"arxiv","version":3}},"canonical_sha256":"ff0ad129e8f8aac7043327cf2b8f12f1acb91b0ee426dd2cc7adc678bee46ead","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff0ad129e8f8aac7043327cf2b8f12f1acb91b0ee426dd2cc7adc678bee46ead","first_computed_at":"2026-05-18T01:14:17.723442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:17.723442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cHedUdCwJ7QAgLBF/g3lyAsz/n/GCkOIz5TA/u9IXj+BUoU0Wl5ulpEqsaAmPduxz74SQoMqJtKrSBeGnG+XBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:17.723926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00455","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f3e56f6835baf22e6e7a1eb80b9b6514f8e1eebcadf51a56753d667ab7b7555","sha256:86b38815dbb23fcd047f8442fd96082ae9a40ab1b94ec2607937a1fe26b4502c"],"state_sha256":"3c9de5bec3490328207a37f94e05c32c1cfb273181a25f026d908e89dd0fa685"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UXzqQB4QZjkRpc8eyGgQKPehylsMArhc+KX+YjkH1zz0PInA6Gc21hxgay4sY4cpmifxA8fdFgODwrmwOpcICA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T11:46:50.347859Z","bundle_sha256":"f90865439cb1aecc7ad5578349433b207d7f6f0705e4f22d3e50e3888073dfac"}}