{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:JL2E5SSSBYZYTAKLDJ7GVJDJMB","short_pith_number":"pith:JL2E5SSS","schema_version":"1.0","canonical_sha256":"4af44eca520e3389814b1a7e6aa4696078c5c4433c97055639f59ccef33740c4","source":{"kind":"arxiv","id":"1211.0608","version":2},"attestation_state":"computed","paper":{"title":"Macroscopic diffusion from a Hamilton-like dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.PR","nlin.CD"],"primary_cat":"math-ph","authors_text":"Raphael Lefevere","submitted_at":"2012-11-03T10:56:21Z","abstract_excerpt":"We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of Hamiltonian dynamics in a confined phase space : it is deterministic, periodic, reversible and conservative. Randomness enters the model as a way to model ignorance about initial conditions and interactions between the components of the system. The orbits of the particles are non-intersecting random loops. We prove, by a weak law of large number, the validity"},"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":"1211.0608","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-03T10:56:21Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR","nlin.CD"],"title_canon_sha256":"cb3ffac79ce87a29136abd2f1dc298fdaca57f68355581a80917c7b3acfd7f33","abstract_canon_sha256":"e62e594634fd330e5853ddcdc0708c66e9c9c68166eb9e8ade65663dde3efca2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:26.343706Z","signature_b64":"2BTohE2lkPENKzEMfh+XVxoVhOu/ecqqSZHOptfH7rbLFuIq2WGujRw63O+3RIS4X2fggBeB0dq7k7IBdV2ZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4af44eca520e3389814b1a7e6aa4696078c5c4433c97055639f59ccef33740c4","last_reissued_at":"2026-05-18T01:53:26.343156Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:26.343156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Macroscopic diffusion from a Hamilton-like dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.PR","nlin.CD"],"primary_cat":"math-ph","authors_text":"Raphael Lefevere","submitted_at":"2012-11-03T10:56:21Z","abstract_excerpt":"We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of Hamiltonian dynamics in a confined phase space : it is deterministic, periodic, reversible and conservative. Randomness enters the model as a way to model ignorance about initial conditions and interactions between the components of the system. The orbits of the particles are non-intersecting random loops. We prove, by a weak law of large number, the validity"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0608","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":"1211.0608","created_at":"2026-05-18T01:53:26.343236+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.0608v2","created_at":"2026-05-18T01:53:26.343236+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.0608","created_at":"2026-05-18T01:53:26.343236+00:00"},{"alias_kind":"pith_short_12","alias_value":"JL2E5SSSBYZY","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"JL2E5SSSBYZYTAKL","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"JL2E5SSS","created_at":"2026-05-18T12:27:11.947152+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/JL2E5SSSBYZYTAKLDJ7GVJDJMB","json":"https://pith.science/pith/JL2E5SSSBYZYTAKLDJ7GVJDJMB.json","graph_json":"https://pith.science/api/pith-number/JL2E5SSSBYZYTAKLDJ7GVJDJMB/graph.json","events_json":"https://pith.science/api/pith-number/JL2E5SSSBYZYTAKLDJ7GVJDJMB/events.json","paper":"https://pith.science/paper/JL2E5SSS"},"agent_actions":{"view_html":"https://pith.science/pith/JL2E5SSSBYZYTAKLDJ7GVJDJMB","download_json":"https://pith.science/pith/JL2E5SSSBYZYTAKLDJ7GVJDJMB.json","view_paper":"https://pith.science/paper/JL2E5SSS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.0608&json=true","fetch_graph":"https://pith.science/api/pith-number/JL2E5SSSBYZYTAKLDJ7GVJDJMB/graph.json","fetch_events":"https://pith.science/api/pith-number/JL2E5SSSBYZYTAKLDJ7GVJDJMB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JL2E5SSSBYZYTAKLDJ7GVJDJMB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JL2E5SSSBYZYTAKLDJ7GVJDJMB/action/storage_attestation","attest_author":"https://pith.science/pith/JL2E5SSSBYZYTAKLDJ7GVJDJMB/action/author_attestation","sign_citation":"https://pith.science/pith/JL2E5SSSBYZYTAKLDJ7GVJDJMB/action/citation_signature","submit_replication":"https://pith.science/pith/JL2E5SSSBYZYTAKLDJ7GVJDJMB/action/replication_record"}},"created_at":"2026-05-18T01:53:26.343236+00:00","updated_at":"2026-05-18T01:53:26.343236+00:00"}