{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:Q6ASMKKMWSLNI242R5MSYLYSSA","short_pith_number":"pith:Q6ASMKKM","canonical_record":{"source":{"id":"1709.08906","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-26T09:19:22Z","cross_cats_sorted":[],"title_canon_sha256":"6ba8dfea4308fd2bd9069b72e2bdb598deb9acc06950c150eabbe3dbdc8f01ff","abstract_canon_sha256":"df5ce89a44b1ce97a7f6d7ef25e5cf4bd6e2d0708e1b776081c526e21b43a357"},"schema_version":"1.0"},"canonical_sha256":"878126294cb496d46b9a8f592c2f12901ea527cb5a17b60d9e4620d5558c8aa3","source":{"kind":"arxiv","id":"1709.08906","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08906","created_at":"2026-05-18T00:32:38Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08906v2","created_at":"2026-05-18T00:32:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08906","created_at":"2026-05-18T00:32:38Z"},{"alias_kind":"pith_short_12","alias_value":"Q6ASMKKMWSLN","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q6ASMKKMWSLNI242","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q6ASMKKM","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:Q6ASMKKMWSLNI242R5MSYLYSSA","target":"record","payload":{"canonical_record":{"source":{"id":"1709.08906","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-26T09:19:22Z","cross_cats_sorted":[],"title_canon_sha256":"6ba8dfea4308fd2bd9069b72e2bdb598deb9acc06950c150eabbe3dbdc8f01ff","abstract_canon_sha256":"df5ce89a44b1ce97a7f6d7ef25e5cf4bd6e2d0708e1b776081c526e21b43a357"},"schema_version":"1.0"},"canonical_sha256":"878126294cb496d46b9a8f592c2f12901ea527cb5a17b60d9e4620d5558c8aa3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:38.741605Z","signature_b64":"mZ9Yc/ueT3mNSf1FByD7nOhAyZM9wF4YcACO9IcFsPhMHgdUxNCdBAB7dOkxIeQUNWTnyW85vfct1UEEAHO7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"878126294cb496d46b9a8f592c2f12901ea527cb5a17b60d9e4620d5558c8aa3","last_reissued_at":"2026-05-18T00:32:38.740922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:38.740922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.08906","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":"2026-05-18T00:32:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SVIVBqf5yLgWPmL/rXQd7JSiQlxgmFFh+4LhvWMw2IPkIAwngL6E9vCZogGEfTQlS7av5rX+eUEcTGjtv/drAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:08:51.368298Z"},"content_sha256":"af97606c22b4d2a3e869c082da6642d3df742485201e0c1a0e0f028ae2b50099","schema_version":"1.0","event_id":"sha256:af97606c22b4d2a3e869c082da6642d3df742485201e0c1a0e0f028ae2b50099"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:Q6ASMKKMWSLNI242R5MSYLYSSA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Definitions and Evolutions of Statistical Entropy for Hamiltonian Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Astronomy, Shanghai Jiao Tong University), Xiangjun Xing (School of Physics","submitted_at":"2017-09-26T09:19:22Z","abstract_excerpt":"Regardless of studies and debates over a century, the statistical origin of the second law of thermodynamics still remains illusive. One essential obstacle is the lack of a proper theoretical formalism for non-equilibrium entropy. Here I revisit the seminal ideas about non-equilibrium statistical entropy due to Boltzmann and due to Gibbs, and synthesize them into a coherent and precise framework. Using this framework, I clarify the anthropomorphic principle of entropy, and analyze the evolution of entropy for classical Hamiltonian systems under different experimental setups. I find that evolut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08906","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":"2026-05-18T00:32:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZXapiRRUnF4C3Z/MLwdO87Kf902iMcZtyYrQ/9Fjta9CJZ5Zi3/zS3MBl61/AXs5GlMiim8E8lApyeQPPynWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:08:51.368923Z"},"content_sha256":"1246312f884a18375a8759c8af993af0f0d558081c6c2521b3ae45b3f5d62a21","schema_version":"1.0","event_id":"sha256:1246312f884a18375a8759c8af993af0f0d558081c6c2521b3ae45b3f5d62a21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q6ASMKKMWSLNI242R5MSYLYSSA/bundle.json","state_url":"https://pith.science/pith/Q6ASMKKMWSLNI242R5MSYLYSSA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q6ASMKKMWSLNI242R5MSYLYSSA/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":"2026-05-27T18:08:51Z","links":{"resolver":"https://pith.science/pith/Q6ASMKKMWSLNI242R5MSYLYSSA","bundle":"https://pith.science/pith/Q6ASMKKMWSLNI242R5MSYLYSSA/bundle.json","state":"https://pith.science/pith/Q6ASMKKMWSLNI242R5MSYLYSSA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q6ASMKKMWSLNI242R5MSYLYSSA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Q6ASMKKMWSLNI242R5MSYLYSSA","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":"df5ce89a44b1ce97a7f6d7ef25e5cf4bd6e2d0708e1b776081c526e21b43a357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-26T09:19:22Z","title_canon_sha256":"6ba8dfea4308fd2bd9069b72e2bdb598deb9acc06950c150eabbe3dbdc8f01ff"},"schema_version":"1.0","source":{"id":"1709.08906","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08906","created_at":"2026-05-18T00:32:38Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08906v2","created_at":"2026-05-18T00:32:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08906","created_at":"2026-05-18T00:32:38Z"},{"alias_kind":"pith_short_12","alias_value":"Q6ASMKKMWSLN","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q6ASMKKMWSLNI242","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q6ASMKKM","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:1246312f884a18375a8759c8af993af0f0d558081c6c2521b3ae45b3f5d62a21","target":"graph","created_at":"2026-05-18T00:32:38Z","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":"Regardless of studies and debates over a century, the statistical origin of the second law of thermodynamics still remains illusive. One essential obstacle is the lack of a proper theoretical formalism for non-equilibrium entropy. Here I revisit the seminal ideas about non-equilibrium statistical entropy due to Boltzmann and due to Gibbs, and synthesize them into a coherent and precise framework. Using this framework, I clarify the anthropomorphic principle of entropy, and analyze the evolution of entropy for classical Hamiltonian systems under different experimental setups. I find that evolut","authors_text":"Astronomy, Shanghai Jiao Tong University), Xiangjun Xing (School of Physics","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-26T09:19:22Z","title":"Definitions and Evolutions of Statistical Entropy for Hamiltonian Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08906","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:af97606c22b4d2a3e869c082da6642d3df742485201e0c1a0e0f028ae2b50099","target":"record","created_at":"2026-05-18T00:32:38Z","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":"df5ce89a44b1ce97a7f6d7ef25e5cf4bd6e2d0708e1b776081c526e21b43a357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-26T09:19:22Z","title_canon_sha256":"6ba8dfea4308fd2bd9069b72e2bdb598deb9acc06950c150eabbe3dbdc8f01ff"},"schema_version":"1.0","source":{"id":"1709.08906","kind":"arxiv","version":2}},"canonical_sha256":"878126294cb496d46b9a8f592c2f12901ea527cb5a17b60d9e4620d5558c8aa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"878126294cb496d46b9a8f592c2f12901ea527cb5a17b60d9e4620d5558c8aa3","first_computed_at":"2026-05-18T00:32:38.740922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:38.740922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mZ9Yc/ueT3mNSf1FByD7nOhAyZM9wF4YcACO9IcFsPhMHgdUxNCdBAB7dOkxIeQUNWTnyW85vfct1UEEAHO7Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:38.741605Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.08906","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af97606c22b4d2a3e869c082da6642d3df742485201e0c1a0e0f028ae2b50099","sha256:1246312f884a18375a8759c8af993af0f0d558081c6c2521b3ae45b3f5d62a21"],"state_sha256":"994bd22ad8a361f2cde60ed2f12ed85b1ea130d108dd74a90e7dfd2e5944baef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DoE7wW3uYmkvr0l1A9tsfQAZxqpY2b8e9L4/RA49sjoOiCiourQk9X22x1IEw1lllxiIDPyLULhsapNSouRyCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:08:51.372265Z","bundle_sha256":"32ff21dba78f58a5a21bd5439175cebf3cccf532dcb7c27bb9abfd743453ca14"}}