{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UVNFIZ4R7AASX35TYYJ7QZ6HQI","short_pith_number":"pith:UVNFIZ4R","canonical_record":{"source":{"id":"1610.00596","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-30T04:16:24Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"c9c3571530b0524e8e15181604d1417ddb749b510ace88f636476aa0589fb5b3","abstract_canon_sha256":"c0905033231d7456b7b02ba31075ec296e5107550e0051beb2d458a28cd5d1d4"},"schema_version":"1.0"},"canonical_sha256":"a55a546791f8012befb3c613f867c7820d7978b810748f6f3551034468374943","source":{"kind":"arxiv","id":"1610.00596","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00596","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00596v2","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00596","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"UVNFIZ4R7AAS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UVNFIZ4R7AASX35T","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UVNFIZ4R","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UVNFIZ4R7AASX35TYYJ7QZ6HQI","target":"record","payload":{"canonical_record":{"source":{"id":"1610.00596","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-30T04:16:24Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"c9c3571530b0524e8e15181604d1417ddb749b510ace88f636476aa0589fb5b3","abstract_canon_sha256":"c0905033231d7456b7b02ba31075ec296e5107550e0051beb2d458a28cd5d1d4"},"schema_version":"1.0"},"canonical_sha256":"a55a546791f8012befb3c613f867c7820d7978b810748f6f3551034468374943","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:18.221099Z","signature_b64":"6LHTdk6at0EqlPGFr8V1Oah5NPErh0hq1GZ+Sp1vRBnPNR92KPxGd9mr0I/+ia9u+4uf1UPqPVaS6FvdZWZPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a55a546791f8012befb3c613f867c7820d7978b810748f6f3551034468374943","last_reissued_at":"2026-05-18T00:39:18.220511Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:18.220511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.00596","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hq1upJVrbXvFncwO6K7Q8J5FChHxNMw7+8fUNdgH3Avpw2WexZbxRAUb7hU9tvZpH6AHpwSLGYmr9hBghY0gBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:15:29.721438Z"},"content_sha256":"ce8f147761f9c307a1dcbd676076703fb83835052307c1957d5e0655695739dd","schema_version":"1.0","event_id":"sha256:ce8f147761f9c307a1dcbd676076703fb83835052307c1957d5e0655695739dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UVNFIZ4R7AASX35TYYJ7QZ6HQI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics of Multiple Two-body Systems with Long-range Correlation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Enke Wang, Furong Yan, Huiqiang Ding, Luan Cheng, Weining Zhang","submitted_at":"2016-09-30T04:16:24Z","abstract_excerpt":"We aim to study thermodynamics of multiple two-body systems with long-range correlation using non-extensive statistics. Long-range correlation will cause multiple systems in anomalous diffusion. We consider the influence of long-range correlation as a background noise effect on a two-body system. We solve probability and entropy equations of a two-body system to obtain the temperature and distance dependence of the non-extensive parameter. The result shows the long-range correlation changes the system's entropy and energy. The more strongly is the system bounded, the less its energy is affecte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00596","kind":"arxiv","version":2},"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":"2026-05-18T00:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pM1kcYBAOuhcXL2iL9ps2UDRfeDxCIXPL49TALfVtkUOutmm6MNeI0CU5K9LrX7zZIcDUwHAvpjYj87Qh4IdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:15:29.721791Z"},"content_sha256":"dc907580ec7835b49b0f14fa42d007392eb06c57cfad90056423acde2865324d","schema_version":"1.0","event_id":"sha256:dc907580ec7835b49b0f14fa42d007392eb06c57cfad90056423acde2865324d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UVNFIZ4R7AASX35TYYJ7QZ6HQI/bundle.json","state_url":"https://pith.science/pith/UVNFIZ4R7AASX35TYYJ7QZ6HQI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UVNFIZ4R7AASX35TYYJ7QZ6HQI/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":"2026-05-31T05:15:29Z","links":{"resolver":"https://pith.science/pith/UVNFIZ4R7AASX35TYYJ7QZ6HQI","bundle":"https://pith.science/pith/UVNFIZ4R7AASX35TYYJ7QZ6HQI/bundle.json","state":"https://pith.science/pith/UVNFIZ4R7AASX35TYYJ7QZ6HQI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UVNFIZ4R7AASX35TYYJ7QZ6HQI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UVNFIZ4R7AASX35TYYJ7QZ6HQI","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":"c0905033231d7456b7b02ba31075ec296e5107550e0051beb2d458a28cd5d1d4","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-30T04:16:24Z","title_canon_sha256":"c9c3571530b0524e8e15181604d1417ddb749b510ace88f636476aa0589fb5b3"},"schema_version":"1.0","source":{"id":"1610.00596","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00596","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00596v2","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00596","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"UVNFIZ4R7AAS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UVNFIZ4R7AASX35T","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UVNFIZ4R","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:dc907580ec7835b49b0f14fa42d007392eb06c57cfad90056423acde2865324d","target":"graph","created_at":"2026-05-18T00:39:18Z","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":"We aim to study thermodynamics of multiple two-body systems with long-range correlation using non-extensive statistics. Long-range correlation will cause multiple systems in anomalous diffusion. We consider the influence of long-range correlation as a background noise effect on a two-body system. We solve probability and entropy equations of a two-body system to obtain the temperature and distance dependence of the non-extensive parameter. The result shows the long-range correlation changes the system's entropy and energy. The more strongly is the system bounded, the less its energy is affecte","authors_text":"Enke Wang, Furong Yan, Huiqiang Ding, Luan Cheng, Weining Zhang","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-30T04:16:24Z","title":"Thermodynamics of Multiple Two-body Systems with Long-range Correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00596","kind":"arxiv","version":2},"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:ce8f147761f9c307a1dcbd676076703fb83835052307c1957d5e0655695739dd","target":"record","created_at":"2026-05-18T00:39:18Z","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":"c0905033231d7456b7b02ba31075ec296e5107550e0051beb2d458a28cd5d1d4","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-30T04:16:24Z","title_canon_sha256":"c9c3571530b0524e8e15181604d1417ddb749b510ace88f636476aa0589fb5b3"},"schema_version":"1.0","source":{"id":"1610.00596","kind":"arxiv","version":2}},"canonical_sha256":"a55a546791f8012befb3c613f867c7820d7978b810748f6f3551034468374943","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a55a546791f8012befb3c613f867c7820d7978b810748f6f3551034468374943","first_computed_at":"2026-05-18T00:39:18.220511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:18.220511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6LHTdk6at0EqlPGFr8V1Oah5NPErh0hq1GZ+Sp1vRBnPNR92KPxGd9mr0I/+ia9u+4uf1UPqPVaS6FvdZWZPAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:18.221099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.00596","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce8f147761f9c307a1dcbd676076703fb83835052307c1957d5e0655695739dd","sha256:dc907580ec7835b49b0f14fa42d007392eb06c57cfad90056423acde2865324d"],"state_sha256":"f1b9f34f736c21fc9130731b1abc14bf68e5c5c41db7701d6f2968d8cce41548"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1XBXR/y8bdnbCm2QZo7+FLueesCu5qcQe6PoWBWzozwxoZQah+H0vdVXxJ1P3e+4hSCahx0z7mXLa43cydWtBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:15:29.724321Z","bundle_sha256":"00214a2af60cf017614bbfbb43cb0c890b3affc0ff88b6aa233563ab30d47090"}}