{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:AGGQERCSZGBY2P4N2A4RJ7AZHZ","short_pith_number":"pith:AGGQERCS","canonical_record":{"source":{"id":"cond-mat/0110066","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-10-03T10:25:42Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"37af7e1ba402a153eb8aff774848c0b31c7a0a6105b626dae6fc2a8a21ea15b7","abstract_canon_sha256":"13fd74a9e7d63f4c395f851863b0c227d0e98e41dce09255f3094fe20f04427a"},"schema_version":"1.0"},"canonical_sha256":"018d024452c9838d3f8dd03914fc193e5cf08af2bb35d18fa3b1f3c7d9a60de9","source":{"kind":"arxiv","id":"cond-mat/0110066","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0110066","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0110066v1","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0110066","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"pith_short_12","alias_value":"AGGQERCSZGBY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"AGGQERCSZGBY2P4N","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"AGGQERCS","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:AGGQERCSZGBY2P4N2A4RJ7AZHZ","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0110066","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-10-03T10:25:42Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"37af7e1ba402a153eb8aff774848c0b31c7a0a6105b626dae6fc2a8a21ea15b7","abstract_canon_sha256":"13fd74a9e7d63f4c395f851863b0c227d0e98e41dce09255f3094fe20f04427a"},"schema_version":"1.0"},"canonical_sha256":"018d024452c9838d3f8dd03914fc193e5cf08af2bb35d18fa3b1f3c7d9a60de9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:06.543997Z","signature_b64":"TOxmtbLCOJRUyNHLoiYgyOhDnFzJYkKuFgqqAn6jihavSAAmzJ4BSK45kgZpnglfJlsYh+FVXOdpVTw4j6HYBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"018d024452c9838d3f8dd03914fc193e5cf08af2bb35d18fa3b1f3c7d9a60de9","last_reissued_at":"2026-05-18T01:40:06.543498Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:06.543498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0110066","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":"2026-05-18T01:40:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YXkCoQqD4+OgPeIkNhsxMdzfEGqBAHpxDKD1E6OtARG+TbaY7knge4RcnwqDdGt7K17Rvb1+8/+CX6M9qvB3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:39:04.977074Z"},"content_sha256":"e63ff2207a05e34253ec1b4b6bb12a40d9f86f57822916202b3aaa31e69b50e0","schema_version":"1.0","event_id":"sha256:e63ff2207a05e34253ec1b4b6bb12a40d9f86f57822916202b3aaa31e69b50e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:AGGQERCSZGBY2P4N2A4RJ7AZHZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kinetical Foundations of Non Conventional Statistics","license":"","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"A.M. Scarfone, G. Kaniadakis, P. Quarati","submitted_at":"2001-10-03T10:25:42Z","abstract_excerpt":"After considering the kinetical interaction principle (KIP) introduced in ref. Physica A {\\bf296}, 405 (2001), we study in the Boltzmann picture, the evolution equation and the H-theorem for non extensive systems. The $q$-kinetics and the $\\kappa$-kinetics are studied in detail starting from the most general non linear Boltzmann equation compatible with the KIP."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0110066","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":"2026-05-18T01:40:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WLYGOin23ZImIbTvO90Oev4bd9A0VnMF8jbEzY4HEmCDrvOaYCsI4hkDm2CCkEVQPKZzw/UYqM38ndK/02kXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:39:04.977672Z"},"content_sha256":"dbe111f06b87fa3e8035864158aa1de1924ff1f844cb0e19abd5c923194b0b32","schema_version":"1.0","event_id":"sha256:dbe111f06b87fa3e8035864158aa1de1924ff1f844cb0e19abd5c923194b0b32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AGGQERCSZGBY2P4N2A4RJ7AZHZ/bundle.json","state_url":"https://pith.science/pith/AGGQERCSZGBY2P4N2A4RJ7AZHZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AGGQERCSZGBY2P4N2A4RJ7AZHZ/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":"2026-05-27T01:39:04Z","links":{"resolver":"https://pith.science/pith/AGGQERCSZGBY2P4N2A4RJ7AZHZ","bundle":"https://pith.science/pith/AGGQERCSZGBY2P4N2A4RJ7AZHZ/bundle.json","state":"https://pith.science/pith/AGGQERCSZGBY2P4N2A4RJ7AZHZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AGGQERCSZGBY2P4N2A4RJ7AZHZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:AGGQERCSZGBY2P4N2A4RJ7AZHZ","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":"13fd74a9e7d63f4c395f851863b0c227d0e98e41dce09255f3094fe20f04427a","cross_cats_sorted":["cond-mat.soft"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-10-03T10:25:42Z","title_canon_sha256":"37af7e1ba402a153eb8aff774848c0b31c7a0a6105b626dae6fc2a8a21ea15b7"},"schema_version":"1.0","source":{"id":"cond-mat/0110066","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0110066","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0110066v1","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0110066","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"pith_short_12","alias_value":"AGGQERCSZGBY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"AGGQERCSZGBY2P4N","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"AGGQERCS","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:dbe111f06b87fa3e8035864158aa1de1924ff1f844cb0e19abd5c923194b0b32","target":"graph","created_at":"2026-05-18T01:40:06Z","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":"After considering the kinetical interaction principle (KIP) introduced in ref. Physica A {\\bf296}, 405 (2001), we study in the Boltzmann picture, the evolution equation and the H-theorem for non extensive systems. The $q$-kinetics and the $\\kappa$-kinetics are studied in detail starting from the most general non linear Boltzmann equation compatible with the KIP.","authors_text":"A.M. Scarfone, G. Kaniadakis, P. Quarati","cross_cats":["cond-mat.soft"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-10-03T10:25:42Z","title":"Kinetical Foundations of Non Conventional Statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0110066","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:e63ff2207a05e34253ec1b4b6bb12a40d9f86f57822916202b3aaa31e69b50e0","target":"record","created_at":"2026-05-18T01:40:06Z","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":"13fd74a9e7d63f4c395f851863b0c227d0e98e41dce09255f3094fe20f04427a","cross_cats_sorted":["cond-mat.soft"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-10-03T10:25:42Z","title_canon_sha256":"37af7e1ba402a153eb8aff774848c0b31c7a0a6105b626dae6fc2a8a21ea15b7"},"schema_version":"1.0","source":{"id":"cond-mat/0110066","kind":"arxiv","version":1}},"canonical_sha256":"018d024452c9838d3f8dd03914fc193e5cf08af2bb35d18fa3b1f3c7d9a60de9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"018d024452c9838d3f8dd03914fc193e5cf08af2bb35d18fa3b1f3c7d9a60de9","first_computed_at":"2026-05-18T01:40:06.543498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:06.543498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TOxmtbLCOJRUyNHLoiYgyOhDnFzJYkKuFgqqAn6jihavSAAmzJ4BSK45kgZpnglfJlsYh+FVXOdpVTw4j6HYBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:06.543997Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0110066","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e63ff2207a05e34253ec1b4b6bb12a40d9f86f57822916202b3aaa31e69b50e0","sha256:dbe111f06b87fa3e8035864158aa1de1924ff1f844cb0e19abd5c923194b0b32"],"state_sha256":"6d3ce83828070eea667611a8001d35564f2f2fcabe0cce311988cd7642f9d2d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jxymsECEwkKK8TFSr6cTvgyNGUNjekh88erasUtxavXehN61TLt42tcchv+l+kR7Q4b5L87IdfFfhMgl6gDAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:39:04.981017Z","bundle_sha256":"6e94d679feb4eb3a449cd8e659152051f3e349916dc8726d2d9473e568c12915"}}