{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:CKCKRD6C5LPESU4BU6JKHOJN6B","short_pith_number":"pith:CKCKRD6C","schema_version":"1.0","canonical_sha256":"1284a88fc2eade495381a792a3b92df076948d5284a85bfe9d757487e40a8c76","source":{"kind":"arxiv","id":"1206.6133","version":2},"attestation_state":"computed","paper":{"title":"Influence of the interaction range on the thermostatistics of a classical many-body system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Constantino Tsallis, Leonardo J. L. Cirto, Vladimir R. V. Assis","submitted_at":"2012-06-26T22:06:11Z","abstract_excerpt":"We numerically study a one-dimensional system of $N$ classical localized planar rotators coupled through interactions which decay with distance as $1/r^\\alpha$ ($\\alpha \\ge 0$). The approach is a first principle one (\\textit{i.e.}, based on Newton's law), and yields the probability distribution of momenta. For $\\alpha$ large enough and $N\\gg1$ we observe, for longstanding states, the Maxwellian distribution, landmark of Boltzmann-Gibbs thermostatistics. But, for $\\alpha$ small or comparable to unity, we observe instead robust fat-tailed distributions that are quite well fitted with $q$-Gaussia"},"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":"1206.6133","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-06-26T22:06:11Z","cross_cats_sorted":[],"title_canon_sha256":"84ca59c6cf6edfdd333692f9bdc8ffcd40f991962661055c003552f90808e7d0","abstract_canon_sha256":"eb449fd90ba76d7a025acd47dc13004a9ba874f5a762ec0f95ef3e37c8df855d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:14.567859Z","signature_b64":"puwfaLSRfhQgDv2DphpQz9hv3LCn/jt2uVlFsWZ1mHsHH2oAhCaJ+wuHgURawpVxPZSFJ55fZrJsuvlpuO4wAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1284a88fc2eade495381a792a3b92df076948d5284a85bfe9d757487e40a8c76","last_reissued_at":"2026-05-18T03:08:14.567228Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:14.567228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Influence of the interaction range on the thermostatistics of a classical many-body system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Constantino Tsallis, Leonardo J. L. Cirto, Vladimir R. V. Assis","submitted_at":"2012-06-26T22:06:11Z","abstract_excerpt":"We numerically study a one-dimensional system of $N$ classical localized planar rotators coupled through interactions which decay with distance as $1/r^\\alpha$ ($\\alpha \\ge 0$). The approach is a first principle one (\\textit{i.e.}, based on Newton's law), and yields the probability distribution of momenta. For $\\alpha$ large enough and $N\\gg1$ we observe, for longstanding states, the Maxwellian distribution, landmark of Boltzmann-Gibbs thermostatistics. But, for $\\alpha$ small or comparable to unity, we observe instead robust fat-tailed distributions that are quite well fitted with $q$-Gaussia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6133","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1206.6133","created_at":"2026-05-18T03:08:14.567327+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.6133v2","created_at":"2026-05-18T03:08:14.567327+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6133","created_at":"2026-05-18T03:08:14.567327+00:00"},{"alias_kind":"pith_short_12","alias_value":"CKCKRD6C5LPE","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"CKCKRD6C5LPESU4B","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"CKCKRD6C","created_at":"2026-05-18T12:27:01.376967+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/CKCKRD6C5LPESU4BU6JKHOJN6B","json":"https://pith.science/pith/CKCKRD6C5LPESU4BU6JKHOJN6B.json","graph_json":"https://pith.science/api/pith-number/CKCKRD6C5LPESU4BU6JKHOJN6B/graph.json","events_json":"https://pith.science/api/pith-number/CKCKRD6C5LPESU4BU6JKHOJN6B/events.json","paper":"https://pith.science/paper/CKCKRD6C"},"agent_actions":{"view_html":"https://pith.science/pith/CKCKRD6C5LPESU4BU6JKHOJN6B","download_json":"https://pith.science/pith/CKCKRD6C5LPESU4BU6JKHOJN6B.json","view_paper":"https://pith.science/paper/CKCKRD6C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.6133&json=true","fetch_graph":"https://pith.science/api/pith-number/CKCKRD6C5LPESU4BU6JKHOJN6B/graph.json","fetch_events":"https://pith.science/api/pith-number/CKCKRD6C5LPESU4BU6JKHOJN6B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CKCKRD6C5LPESU4BU6JKHOJN6B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CKCKRD6C5LPESU4BU6JKHOJN6B/action/storage_attestation","attest_author":"https://pith.science/pith/CKCKRD6C5LPESU4BU6JKHOJN6B/action/author_attestation","sign_citation":"https://pith.science/pith/CKCKRD6C5LPESU4BU6JKHOJN6B/action/citation_signature","submit_replication":"https://pith.science/pith/CKCKRD6C5LPESU4BU6JKHOJN6B/action/replication_record"}},"created_at":"2026-05-18T03:08:14.567327+00:00","updated_at":"2026-05-18T03:08:14.567327+00:00"}