{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:GYSR73ZBWIF5MQWIDVVO74W2JX","short_pith_number":"pith:GYSR73ZB","schema_version":"1.0","canonical_sha256":"36251fef21b20bd642c81d6aeff2da4dc8fa4412a7d79ff3f211ac142c9ff6e1","source":{"kind":"arxiv","id":"1003.5680","version":2},"attestation_state":"computed","paper":{"title":"A dynamical classification of the range of pair interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Gabrielli, Bruno Marcos, Francois Sicard, Michael Joyce","submitted_at":"2010-03-29T21:11:32Z","abstract_excerpt":"We formalize a classification of pair interactions based on the convergence properties of the {\\it forces} acting on particles as a function of system size. We do so by considering the behavior of the probability distribution function (PDF) P(F) of the force field F in a particle distribution in the limit that the size of the system is taken to infinity at constant particle density, i.e., in the \"usual\" thermodynamic limit. For a pair interaction potential V(r) with V(r) \\rightarrow \\infty) \\sim 1/r^a defining a {\\it bounded} pair force, we show that P(F) converges continuously to a well-defin"},"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":"1003.5680","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-29T21:11:32Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"e3efacb0356343933917df5335cf9df9d4f942bc7b3fced8ac24c9c2afbc36a0","abstract_canon_sha256":"aaed385219a2d5480230d6526daed804354dcee0a349f99b8f661fd53cbbcd8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:15.978369Z","signature_b64":"bE3nb1gvX4ID3FYGVO2yOItRskUr94juaQf7o0SOXMhYU6cwIwv6Z8snOWPY5Mw7+5CkxHtXhM2VqI9HqH6hCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36251fef21b20bd642c81d6aeff2da4dc8fa4412a7d79ff3f211ac142c9ff6e1","last_reissued_at":"2026-05-18T02:08:15.977678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:15.977678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A dynamical classification of the range of pair interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Gabrielli, Bruno Marcos, Francois Sicard, Michael Joyce","submitted_at":"2010-03-29T21:11:32Z","abstract_excerpt":"We formalize a classification of pair interactions based on the convergence properties of the {\\it forces} acting on particles as a function of system size. We do so by considering the behavior of the probability distribution function (PDF) P(F) of the force field F in a particle distribution in the limit that the size of the system is taken to infinity at constant particle density, i.e., in the \"usual\" thermodynamic limit. For a pair interaction potential V(r) with V(r) \\rightarrow \\infty) \\sim 1/r^a defining a {\\it bounded} pair force, we show that P(F) converges continuously to a well-defin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5680","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":"1003.5680","created_at":"2026-05-18T02:08:15.977792+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.5680v2","created_at":"2026-05-18T02:08:15.977792+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5680","created_at":"2026-05-18T02:08:15.977792+00:00"},{"alias_kind":"pith_short_12","alias_value":"GYSR73ZBWIF5","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"GYSR73ZBWIF5MQWI","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"GYSR73ZB","created_at":"2026-05-18T12:26:07.630475+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/GYSR73ZBWIF5MQWIDVVO74W2JX","json":"https://pith.science/pith/GYSR73ZBWIF5MQWIDVVO74W2JX.json","graph_json":"https://pith.science/api/pith-number/GYSR73ZBWIF5MQWIDVVO74W2JX/graph.json","events_json":"https://pith.science/api/pith-number/GYSR73ZBWIF5MQWIDVVO74W2JX/events.json","paper":"https://pith.science/paper/GYSR73ZB"},"agent_actions":{"view_html":"https://pith.science/pith/GYSR73ZBWIF5MQWIDVVO74W2JX","download_json":"https://pith.science/pith/GYSR73ZBWIF5MQWIDVVO74W2JX.json","view_paper":"https://pith.science/paper/GYSR73ZB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.5680&json=true","fetch_graph":"https://pith.science/api/pith-number/GYSR73ZBWIF5MQWIDVVO74W2JX/graph.json","fetch_events":"https://pith.science/api/pith-number/GYSR73ZBWIF5MQWIDVVO74W2JX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GYSR73ZBWIF5MQWIDVVO74W2JX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GYSR73ZBWIF5MQWIDVVO74W2JX/action/storage_attestation","attest_author":"https://pith.science/pith/GYSR73ZBWIF5MQWIDVVO74W2JX/action/author_attestation","sign_citation":"https://pith.science/pith/GYSR73ZBWIF5MQWIDVVO74W2JX/action/citation_signature","submit_replication":"https://pith.science/pith/GYSR73ZBWIF5MQWIDVVO74W2JX/action/replication_record"}},"created_at":"2026-05-18T02:08:15.977792+00:00","updated_at":"2026-05-18T02:08:15.977792+00:00"}