{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:G2QS5TPDSSSINFETXLPVYC3XEI","short_pith_number":"pith:G2QS5TPD","canonical_record":{"source":{"id":"physics/0306149","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.class-ph","submitted_at":"2003-06-20T10:24:38Z","cross_cats_sorted":[],"title_canon_sha256":"54497dd528e94ec5c81bf517c76e4a4a8077d371e4984409ef6ea3d6ad2dfbe1","abstract_canon_sha256":"a73b09dffc8c2e83ba0fb7d56d35195b0a7375c813747cfb126949cbac3f5a0d"},"schema_version":"1.0"},"canonical_sha256":"36a12ecde394a4869493badf5c0b772234679821b16f99c085ce3bad1aaf9e80","source":{"kind":"arxiv","id":"physics/0306149","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0306149","created_at":"2026-05-18T01:38:08Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0306149v1","created_at":"2026-05-18T01:38:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0306149","created_at":"2026-05-18T01:38:08Z"},{"alias_kind":"pith_short_12","alias_value":"G2QS5TPDSSSI","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"G2QS5TPDSSSINFET","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"G2QS5TPD","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:G2QS5TPDSSSINFETXLPVYC3XEI","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0306149","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.class-ph","submitted_at":"2003-06-20T10:24:38Z","cross_cats_sorted":[],"title_canon_sha256":"54497dd528e94ec5c81bf517c76e4a4a8077d371e4984409ef6ea3d6ad2dfbe1","abstract_canon_sha256":"a73b09dffc8c2e83ba0fb7d56d35195b0a7375c813747cfb126949cbac3f5a0d"},"schema_version":"1.0"},"canonical_sha256":"36a12ecde394a4869493badf5c0b772234679821b16f99c085ce3bad1aaf9e80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:08.849543Z","signature_b64":"me3391JWJ6qg/j84j05mzqmuVE7mbh6RtnU2lOi69Ryku4FGJaESVwq8XUEKNy+KAKWktdA+cJejyk8FskYUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36a12ecde394a4869493badf5c0b772234679821b16f99c085ce3bad1aaf9e80","last_reissued_at":"2026-05-18T01:38:08.849061Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:08.849061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0306149","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":"2026-05-18T01:38:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BwsJeuHDzEJMrotFNOyQm/X7q0QthwF4AZKtdkXLShtYzHLm/mlH7tnk2p7J9noH11PAG/m71uJRpdmq3IijAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:47:28.621440Z"},"content_sha256":"b44ae9dc79d7f81eb37b6bb622d5e950188948465aa842e3e02928ad6ef83911","schema_version":"1.0","event_id":"sha256:b44ae9dc79d7f81eb37b6bb622d5e950188948465aa842e3e02928ad6ef83911"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:G2QS5TPDSSSINFETXLPVYC3XEI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase Space Cell in Nonextensive Classical Systems","license":"","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"F. Quarati, P. Quarati","submitted_at":"2003-06-20T10:24:38Z","abstract_excerpt":"We calculate the phase space volume $\\Omega$ occupied by a nonextensive system of $N$ classical particles described by an equilibrium (or steady-state, or long-term stationary state of a nonequilibrium system) distribution function, which slightly deviates from Maxwell-Boltzmann (MB) distribution in the high energy tail. We explicitly require that the number of accessible microstates does not change respect to the extensive MB case. We also derive, within a classical scheme, an analytical expression of the elementary cell that can be seen as a macrocell, different from the third power of Planc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0306149","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":"2026-05-18T01:38:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0SvAZ33Wdd/vtyQ+O+N8vJyMdK9NQe5VJOJWHx2RVMkurB79m2hRASrnDMzlABxjgrmjgcqerz/diVZB6eziAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:47:28.622017Z"},"content_sha256":"5f83d83bc33154fd2ecc09ea735d3fb0b4b25c62e1b14f5bd5c156cccf938ba8","schema_version":"1.0","event_id":"sha256:5f83d83bc33154fd2ecc09ea735d3fb0b4b25c62e1b14f5bd5c156cccf938ba8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G2QS5TPDSSSINFETXLPVYC3XEI/bundle.json","state_url":"https://pith.science/pith/G2QS5TPDSSSINFETXLPVYC3XEI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G2QS5TPDSSSINFETXLPVYC3XEI/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":"2026-05-26T11:47:28Z","links":{"resolver":"https://pith.science/pith/G2QS5TPDSSSINFETXLPVYC3XEI","bundle":"https://pith.science/pith/G2QS5TPDSSSINFETXLPVYC3XEI/bundle.json","state":"https://pith.science/pith/G2QS5TPDSSSINFETXLPVYC3XEI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G2QS5TPDSSSINFETXLPVYC3XEI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:G2QS5TPDSSSINFETXLPVYC3XEI","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":"a73b09dffc8c2e83ba0fb7d56d35195b0a7375c813747cfb126949cbac3f5a0d","cross_cats_sorted":[],"license":"","primary_cat":"physics.class-ph","submitted_at":"2003-06-20T10:24:38Z","title_canon_sha256":"54497dd528e94ec5c81bf517c76e4a4a8077d371e4984409ef6ea3d6ad2dfbe1"},"schema_version":"1.0","source":{"id":"physics/0306149","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0306149","created_at":"2026-05-18T01:38:08Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0306149v1","created_at":"2026-05-18T01:38:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0306149","created_at":"2026-05-18T01:38:08Z"},{"alias_kind":"pith_short_12","alias_value":"G2QS5TPDSSSI","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"G2QS5TPDSSSINFET","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"G2QS5TPD","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:5f83d83bc33154fd2ecc09ea735d3fb0b4b25c62e1b14f5bd5c156cccf938ba8","target":"graph","created_at":"2026-05-18T01:38:08Z","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 calculate the phase space volume $\\Omega$ occupied by a nonextensive system of $N$ classical particles described by an equilibrium (or steady-state, or long-term stationary state of a nonequilibrium system) distribution function, which slightly deviates from Maxwell-Boltzmann (MB) distribution in the high energy tail. We explicitly require that the number of accessible microstates does not change respect to the extensive MB case. We also derive, within a classical scheme, an analytical expression of the elementary cell that can be seen as a macrocell, different from the third power of Planc","authors_text":"F. Quarati, P. Quarati","cross_cats":[],"headline":"","license":"","primary_cat":"physics.class-ph","submitted_at":"2003-06-20T10:24:38Z","title":"Phase Space Cell in Nonextensive Classical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0306149","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:b44ae9dc79d7f81eb37b6bb622d5e950188948465aa842e3e02928ad6ef83911","target":"record","created_at":"2026-05-18T01:38:08Z","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":"a73b09dffc8c2e83ba0fb7d56d35195b0a7375c813747cfb126949cbac3f5a0d","cross_cats_sorted":[],"license":"","primary_cat":"physics.class-ph","submitted_at":"2003-06-20T10:24:38Z","title_canon_sha256":"54497dd528e94ec5c81bf517c76e4a4a8077d371e4984409ef6ea3d6ad2dfbe1"},"schema_version":"1.0","source":{"id":"physics/0306149","kind":"arxiv","version":1}},"canonical_sha256":"36a12ecde394a4869493badf5c0b772234679821b16f99c085ce3bad1aaf9e80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36a12ecde394a4869493badf5c0b772234679821b16f99c085ce3bad1aaf9e80","first_computed_at":"2026-05-18T01:38:08.849061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:08.849061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"me3391JWJ6qg/j84j05mzqmuVE7mbh6RtnU2lOi69Ryku4FGJaESVwq8XUEKNy+KAKWktdA+cJejyk8FskYUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:08.849543Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0306149","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b44ae9dc79d7f81eb37b6bb622d5e950188948465aa842e3e02928ad6ef83911","sha256:5f83d83bc33154fd2ecc09ea735d3fb0b4b25c62e1b14f5bd5c156cccf938ba8"],"state_sha256":"4be330be22847ed35e71e3752e980b18654dd13b081a01d52262958a93afe51d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"34J622q0KFB07plOoHBK0WReW0TlfEOavtNTpH/WVOIY7FmaK7sUioau5L22aDZvPRPqbmsMzqNdkpx5K/ZyDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:47:28.625455Z","bundle_sha256":"a2fe889087e0a08f5fda9004def1cc3cf2a9c9c2ac3df4f93017d34b38faaadc"}}