{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:NCIU243PYD7HV66KS7SSK4Z4BA","short_pith_number":"pith:NCIU243P","canonical_record":{"source":{"id":"0805.1516","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-05-11T08:56:56Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"4fee3d0f9c1116d2c60c68d021e6588442cec5d178f3c7437802e6dc400d6898","abstract_canon_sha256":"06f917007e2d41ffcfc831c90c8d214a1f335b33295ccf6123b03eaaf70c9951"},"schema_version":"1.0"},"canonical_sha256":"68914d736fc0fe7afbca97e525733c083521280df6ca701ce4be396898d09fa6","source":{"kind":"arxiv","id":"0805.1516","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.1516","created_at":"2026-05-18T02:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"0805.1516v1","created_at":"2026-05-18T02:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.1516","created_at":"2026-05-18T02:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"NCIU243PYD7H","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"NCIU243PYD7HV66K","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"NCIU243P","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:NCIU243PYD7HV66KS7SSK4Z4BA","target":"record","payload":{"canonical_record":{"source":{"id":"0805.1516","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-05-11T08:56:56Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"4fee3d0f9c1116d2c60c68d021e6588442cec5d178f3c7437802e6dc400d6898","abstract_canon_sha256":"06f917007e2d41ffcfc831c90c8d214a1f335b33295ccf6123b03eaaf70c9951"},"schema_version":"1.0"},"canonical_sha256":"68914d736fc0fe7afbca97e525733c083521280df6ca701ce4be396898d09fa6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:52.891594Z","signature_b64":"fJmcz/8uFE7Wemj1/uogr/KiRWYVrOhW6VlIADC2JAu5NuWugQBfLL/iR5w+7iyTx5tMn+tCNg7X1HA0Iyq5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68914d736fc0fe7afbca97e525733c083521280df6ca701ce4be396898d09fa6","last_reissued_at":"2026-05-18T02:15:52.890832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:52.890832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0805.1516","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":"2026-05-18T02:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EUNhXUYGSriY4MZXAonGG/E6VPHkPGSgGVNXi3FPD7zRkatOmNVUTzSHigEMlKse/PxoENle44MyNtALBphlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:04:30.796615Z"},"content_sha256":"b93a60d8102985b9eb67cee92bdae1859ac6ee7fac99a091323f8213ca054186","schema_version":"1.0","event_id":"sha256:b93a60d8102985b9eb67cee92bdae1859ac6ee7fac99a091323f8213ca054186"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:NCIU243PYD7HV66KS7SSK4Z4BA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time correlation function of the shear stress in sheared particle systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hisao Hayakawa, Michio Otsuki","submitted_at":"2008-05-11T08:56:56Z","abstract_excerpt":"The long-time behaviors of the time correlation function $C_\\eta(t)$ of the shear stress for three-dimensional sheared fluids are investigated theoretically. It is found that there are the cross-overs in $C_\\eta(t)$ from $t^{-3/2}$ to $t^{-2}$ for sheared fluids of elastic particles without any thermostat, and from $t^{-3/2}$ to $t^{-5/2}$ for isothermal sheared fluids including granular fluids."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.1516","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":"2026-05-18T02:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1RMRvSgXEjx8mpjoeKEhl1KLwkGDW90er/h4ojsqpWVasl1xRgu/DRy5UkyX35q8PQCJFJbLkpqpmLe8Qgv+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:04:30.796974Z"},"content_sha256":"ddc520764ebba1b6017778ee8949c0cc494b10d2ace4b3300b8a0815e4642b77","schema_version":"1.0","event_id":"sha256:ddc520764ebba1b6017778ee8949c0cc494b10d2ace4b3300b8a0815e4642b77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCIU243PYD7HV66KS7SSK4Z4BA/bundle.json","state_url":"https://pith.science/pith/NCIU243PYD7HV66KS7SSK4Z4BA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCIU243PYD7HV66KS7SSK4Z4BA/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":"2026-05-28T05:04:30Z","links":{"resolver":"https://pith.science/pith/NCIU243PYD7HV66KS7SSK4Z4BA","bundle":"https://pith.science/pith/NCIU243PYD7HV66KS7SSK4Z4BA/bundle.json","state":"https://pith.science/pith/NCIU243PYD7HV66KS7SSK4Z4BA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCIU243PYD7HV66KS7SSK4Z4BA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:NCIU243PYD7HV66KS7SSK4Z4BA","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":"06f917007e2d41ffcfc831c90c8d214a1f335b33295ccf6123b03eaaf70c9951","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-05-11T08:56:56Z","title_canon_sha256":"4fee3d0f9c1116d2c60c68d021e6588442cec5d178f3c7437802e6dc400d6898"},"schema_version":"1.0","source":{"id":"0805.1516","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.1516","created_at":"2026-05-18T02:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"0805.1516v1","created_at":"2026-05-18T02:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.1516","created_at":"2026-05-18T02:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"NCIU243PYD7H","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"NCIU243PYD7HV66K","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"NCIU243P","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:ddc520764ebba1b6017778ee8949c0cc494b10d2ace4b3300b8a0815e4642b77","target":"graph","created_at":"2026-05-18T02:15:52Z","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 long-time behaviors of the time correlation function $C_\\eta(t)$ of the shear stress for three-dimensional sheared fluids are investigated theoretically. It is found that there are the cross-overs in $C_\\eta(t)$ from $t^{-3/2}$ to $t^{-2}$ for sheared fluids of elastic particles without any thermostat, and from $t^{-3/2}$ to $t^{-5/2}$ for isothermal sheared fluids including granular fluids.","authors_text":"Hisao Hayakawa, Michio Otsuki","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-05-11T08:56:56Z","title":"Time correlation function of the shear stress in sheared particle systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.1516","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:b93a60d8102985b9eb67cee92bdae1859ac6ee7fac99a091323f8213ca054186","target":"record","created_at":"2026-05-18T02:15:52Z","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":"06f917007e2d41ffcfc831c90c8d214a1f335b33295ccf6123b03eaaf70c9951","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-05-11T08:56:56Z","title_canon_sha256":"4fee3d0f9c1116d2c60c68d021e6588442cec5d178f3c7437802e6dc400d6898"},"schema_version":"1.0","source":{"id":"0805.1516","kind":"arxiv","version":1}},"canonical_sha256":"68914d736fc0fe7afbca97e525733c083521280df6ca701ce4be396898d09fa6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68914d736fc0fe7afbca97e525733c083521280df6ca701ce4be396898d09fa6","first_computed_at":"2026-05-18T02:15:52.890832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:52.890832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fJmcz/8uFE7Wemj1/uogr/KiRWYVrOhW6VlIADC2JAu5NuWugQBfLL/iR5w+7iyTx5tMn+tCNg7X1HA0Iyq5Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:52.891594Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.1516","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b93a60d8102985b9eb67cee92bdae1859ac6ee7fac99a091323f8213ca054186","sha256:ddc520764ebba1b6017778ee8949c0cc494b10d2ace4b3300b8a0815e4642b77"],"state_sha256":"59445cc3fc36f42d623d1a8be1227d8f37f3833dcba8a7a11dfe32fd3a3199dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uQYGowQjl7Bs3DawbonUn+g1zsU4I96gFg8x+1M5ta5693wfeaFxK4kkshpyS6NuhezWnS5D4DQwDJwQ0tBvCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:04:30.799232Z","bundle_sha256":"dd38d0b3d5ddfeaeb8316f75a424cfa4964a5627f17e580ce176f02711954254"}}