{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:IODJW5Q7XNIRGGZS7T2NMRPD6M","short_pith_number":"pith:IODJW5Q7","schema_version":"1.0","canonical_sha256":"43869b761fbb51131b32fcf4d645e3f3358398c3ec42c47a2e8f4ddafb53c3de","source":{"kind":"arxiv","id":"cond-mat/0603803","version":3},"attestation_state":"computed","paper":{"title":"Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jiulin Du","submitted_at":"2006-03-30T03:27:30Z","abstract_excerpt":"By a natural nonextensive generalization of the conservation of energy in the q-kinetic theory, we study the nonextensivity and the power-law distributions for the many-body systems with the self-gravitating long-range interactions. It is shown that the power-law distributions describe the long-range nature of the interactions and the non-local correlations within the self-gravitating system with the inhomogeneous velocity dispersion. A relation is established between the nonextensive parameter q and the measurable quantities of the self-gravitating system: the velocity dispersion and the mass"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"cond-mat/0603803","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-03-30T03:27:30Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"a4836009ad4db5f1e5f1a1a2586c9360b13bfd20520115feed6cce65ca39e29d","abstract_canon_sha256":"5be49af39086fb449dd05a50c340bb1f202591b63cb112111e6e9cb3d2346815"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:38.628427Z","signature_b64":"KJ+DejtFp+WL55L4GI7ac8HQ1qysEWLgBIaBK88GS80D7hGLUF7Qk54oK9voBs+Ac2Yk5RCaq80UaFw9NhPxDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43869b761fbb51131b32fcf4d645e3f3358398c3ec42c47a2e8f4ddafb53c3de","last_reissued_at":"2026-05-18T01:35:38.627772Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:38.627772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jiulin Du","submitted_at":"2006-03-30T03:27:30Z","abstract_excerpt":"By a natural nonextensive generalization of the conservation of energy in the q-kinetic theory, we study the nonextensivity and the power-law distributions for the many-body systems with the self-gravitating long-range interactions. It is shown that the power-law distributions describe the long-range nature of the interactions and the non-local correlations within the self-gravitating system with the inhomogeneous velocity dispersion. A relation is established between the nonextensive parameter q and the measurable quantities of the self-gravitating system: the velocity dispersion and the mass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0603803","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0603803","created_at":"2026-05-18T01:35:38.627902+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0603803v3","created_at":"2026-05-18T01:35:38.627902+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0603803","created_at":"2026-05-18T01:35:38.627902+00:00"},{"alias_kind":"pith_short_12","alias_value":"IODJW5Q7XNIR","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"IODJW5Q7XNIRGGZS","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"IODJW5Q7","created_at":"2026-05-18T12:25:54.717736+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IODJW5Q7XNIRGGZS7T2NMRPD6M","json":"https://pith.science/pith/IODJW5Q7XNIRGGZS7T2NMRPD6M.json","graph_json":"https://pith.science/api/pith-number/IODJW5Q7XNIRGGZS7T2NMRPD6M/graph.json","events_json":"https://pith.science/api/pith-number/IODJW5Q7XNIRGGZS7T2NMRPD6M/events.json","paper":"https://pith.science/paper/IODJW5Q7"},"agent_actions":{"view_html":"https://pith.science/pith/IODJW5Q7XNIRGGZS7T2NMRPD6M","download_json":"https://pith.science/pith/IODJW5Q7XNIRGGZS7T2NMRPD6M.json","view_paper":"https://pith.science/paper/IODJW5Q7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0603803&json=true","fetch_graph":"https://pith.science/api/pith-number/IODJW5Q7XNIRGGZS7T2NMRPD6M/graph.json","fetch_events":"https://pith.science/api/pith-number/IODJW5Q7XNIRGGZS7T2NMRPD6M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IODJW5Q7XNIRGGZS7T2NMRPD6M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IODJW5Q7XNIRGGZS7T2NMRPD6M/action/storage_attestation","attest_author":"https://pith.science/pith/IODJW5Q7XNIRGGZS7T2NMRPD6M/action/author_attestation","sign_citation":"https://pith.science/pith/IODJW5Q7XNIRGGZS7T2NMRPD6M/action/citation_signature","submit_replication":"https://pith.science/pith/IODJW5Q7XNIRGGZS7T2NMRPD6M/action/replication_record"}},"created_at":"2026-05-18T01:35:38.627902+00:00","updated_at":"2026-05-18T01:35:38.627902+00:00"}