{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NFXBF2JT2LKO6QVP44X4EOWPUM","short_pith_number":"pith:NFXBF2JT","canonical_record":{"source":{"id":"1102.5629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-28T09:46:34Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"293c01fd661b5b75a3d868583a1d1ccdca26e167839a31251672036fa9b9741b","abstract_canon_sha256":"708110d2fa940cbec3a40bb0f06669cd553f6f56e0a18d8d07229f1acf1ec5b1"},"schema_version":"1.0"},"canonical_sha256":"696e12e933d2d4ef42afe72fc23acfa328fc8ff6a2a8f759838139545e4781d1","source":{"kind":"arxiv","id":"1102.5629","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5629","created_at":"2026-05-18T04:27:46Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5629v1","created_at":"2026-05-18T04:27:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5629","created_at":"2026-05-18T04:27:46Z"},{"alias_kind":"pith_short_12","alias_value":"NFXBF2JT2LKO","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NFXBF2JT2LKO6QVP","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NFXBF2JT","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NFXBF2JT2LKO6QVP44X4EOWPUM","target":"record","payload":{"canonical_record":{"source":{"id":"1102.5629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-28T09:46:34Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"293c01fd661b5b75a3d868583a1d1ccdca26e167839a31251672036fa9b9741b","abstract_canon_sha256":"708110d2fa940cbec3a40bb0f06669cd553f6f56e0a18d8d07229f1acf1ec5b1"},"schema_version":"1.0"},"canonical_sha256":"696e12e933d2d4ef42afe72fc23acfa328fc8ff6a2a8f759838139545e4781d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:46.425838Z","signature_b64":"MzMWZp3L6fUGeZg94vkVVxddPpPk5r/Uwza7HwKcIP17nNihzzRo6QkMPlB7gQv1mCXFajeztLQp6vKxac3HAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"696e12e933d2d4ef42afe72fc23acfa328fc8ff6a2a8f759838139545e4781d1","last_reissued_at":"2026-05-18T04:27:46.425151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:46.425151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.5629","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":"2026-05-18T04:27:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aBsY5OGPF7Gtggj6aRKLRPIL9M6gIJRcSDrm0dQXiLjtO1NhD4THgmz6+1UHmpIv9HfvuZRl6jYjp6Zqi4dpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:33:15.612992Z"},"content_sha256":"19c55f94d07fb89fc524805d90a65a3a9492475f3da7c770d660e12b38c4280e","schema_version":"1.0","event_id":"sha256:19c55f94d07fb89fc524805d90a65a3a9492475f3da7c770d660e12b38c4280e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NFXBF2JT2LKO6QVP44X4EOWPUM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-particle statistical physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"hep-ph","authors_text":"A. Jakovac","submitted_at":"2011-02-28T09:46:34Z","abstract_excerpt":"Consistent statistical physical description is given for systems where the elementary excitations are composite objects. Explicit calculational scheme is constructed for the energy density and the total number of thermodynamical degrees of freedom, based on the spectral function of the system. One demonstrates through characteristic examples that single quasiparticle contributions combine non-linearly in these quantities. Relation to the Gibbs paradox is also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5629","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":"2026-05-18T04:27:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a0OrF6Al6XwqJJaqdNi9S5nesURpScrCFOOe5fKEJCGT3JOQrZHJyRhl5g5ZtzBLoF26fEhZnsK/TLf2TtoJDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:33:15.613683Z"},"content_sha256":"f6d3d7d9dce2ed7843adeffff3e8e936ffcc4286429fea1b8cb7029cb92f6dc0","schema_version":"1.0","event_id":"sha256:f6d3d7d9dce2ed7843adeffff3e8e936ffcc4286429fea1b8cb7029cb92f6dc0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NFXBF2JT2LKO6QVP44X4EOWPUM/bundle.json","state_url":"https://pith.science/pith/NFXBF2JT2LKO6QVP44X4EOWPUM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NFXBF2JT2LKO6QVP44X4EOWPUM/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":"2026-06-07T00:33:15Z","links":{"resolver":"https://pith.science/pith/NFXBF2JT2LKO6QVP44X4EOWPUM","bundle":"https://pith.science/pith/NFXBF2JT2LKO6QVP44X4EOWPUM/bundle.json","state":"https://pith.science/pith/NFXBF2JT2LKO6QVP44X4EOWPUM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NFXBF2JT2LKO6QVP44X4EOWPUM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NFXBF2JT2LKO6QVP44X4EOWPUM","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":"708110d2fa940cbec3a40bb0f06669cd553f6f56e0a18d8d07229f1acf1ec5b1","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-28T09:46:34Z","title_canon_sha256":"293c01fd661b5b75a3d868583a1d1ccdca26e167839a31251672036fa9b9741b"},"schema_version":"1.0","source":{"id":"1102.5629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5629","created_at":"2026-05-18T04:27:46Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5629v1","created_at":"2026-05-18T04:27:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5629","created_at":"2026-05-18T04:27:46Z"},{"alias_kind":"pith_short_12","alias_value":"NFXBF2JT2LKO","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NFXBF2JT2LKO6QVP","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NFXBF2JT","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:f6d3d7d9dce2ed7843adeffff3e8e936ffcc4286429fea1b8cb7029cb92f6dc0","target":"graph","created_at":"2026-05-18T04:27:46Z","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":"Consistent statistical physical description is given for systems where the elementary excitations are composite objects. Explicit calculational scheme is constructed for the energy density and the total number of thermodynamical degrees of freedom, based on the spectral function of the system. One demonstrates through characteristic examples that single quasiparticle contributions combine non-linearly in these quantities. Relation to the Gibbs paradox is also discussed.","authors_text":"A. Jakovac","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-28T09:46:34Z","title":"Non-particle statistical physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5629","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":"sha256:19c55f94d07fb89fc524805d90a65a3a9492475f3da7c770d660e12b38c4280e","target":"record","created_at":"2026-05-18T04:27:46Z","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":"708110d2fa940cbec3a40bb0f06669cd553f6f56e0a18d8d07229f1acf1ec5b1","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-28T09:46:34Z","title_canon_sha256":"293c01fd661b5b75a3d868583a1d1ccdca26e167839a31251672036fa9b9741b"},"schema_version":"1.0","source":{"id":"1102.5629","kind":"arxiv","version":1}},"canonical_sha256":"696e12e933d2d4ef42afe72fc23acfa328fc8ff6a2a8f759838139545e4781d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"696e12e933d2d4ef42afe72fc23acfa328fc8ff6a2a8f759838139545e4781d1","first_computed_at":"2026-05-18T04:27:46.425151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:46.425151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MzMWZp3L6fUGeZg94vkVVxddPpPk5r/Uwza7HwKcIP17nNihzzRo6QkMPlB7gQv1mCXFajeztLQp6vKxac3HAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:46.425838Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.5629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19c55f94d07fb89fc524805d90a65a3a9492475f3da7c770d660e12b38c4280e","sha256:f6d3d7d9dce2ed7843adeffff3e8e936ffcc4286429fea1b8cb7029cb92f6dc0"],"state_sha256":"e9f4f09f2b7dd07b0bfa7c02c9c94b68102c4d313e3df5ab8e4e4e5089f3fb45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U/PPIcFhoxLY0thb2MgGUTufplPXVKjnYUQ36x6GUKRnUoP643aScoOmFSu4UnDLv1kzHdLmVl88XyaDqMeZAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T00:33:15.617691Z","bundle_sha256":"a6f7e1f18d1e834299a3abbdfb3bd690a487aab6645042dd5ee49b06994e0aac"}}