{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:EBLKTICVEHA43VEATUIERNH6CD","short_pith_number":"pith:EBLKTICV","schema_version":"1.0","canonical_sha256":"2056a9a05521c1cdd4809d1048b4fe10dbcfa0d67a12f8a3b466726bbe44bb4e","source":{"kind":"arxiv","id":"1002.3261","version":1},"attestation_state":"computed","paper":{"title":"On the convergence of cluster expansions for polymer gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Aldo Procacci, Roberto Fern\\'andez, Rodrigo Bissacot","submitted_at":"2010-02-17T13:21:50Z","abstract_excerpt":"We compare the different convergence criteria available for cluster expansions of polymer gases subjected to hard-core exclusions, with emphasis on polymers defined as finite subsets of a countable set (e.g. contour expansions and more generally high- and low-temperature expansions). In order of increasing strength, these criteria are: (i) Dobrushin criterion, obtained by a simple inductive argument; (ii) Gruber-Kunz criterion obtained through the use of Kirkwood-Salzburg equations, and (iii) a criterion obtained by two of us via a direct combinatorial handling of the terms of the expansion. W"},"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":"1002.3261","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-02-17T13:21:50Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"575ce6ed31f476b54c40099fa539fc73dac7b51c0c75ce3b95e9df9d16496520","abstract_canon_sha256":"c9cef22b085f334f58cecb222efd6418c97964413473cba49e5d2c321f085d83"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:00.193909Z","signature_b64":"Vmv8BmwxDcy0l4E6wQtjpjXnrZmlzGb6PnnfZ7O/rR3La/wvJOFoYVjWTTwS58PbTSJkDjJMdoixBY7hpbIqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2056a9a05521c1cdd4809d1048b4fe10dbcfa0d67a12f8a3b466726bbe44bb4e","last_reissued_at":"2026-05-18T02:09:00.193100Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:00.193100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the convergence of cluster expansions for polymer gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Aldo Procacci, Roberto Fern\\'andez, Rodrigo Bissacot","submitted_at":"2010-02-17T13:21:50Z","abstract_excerpt":"We compare the different convergence criteria available for cluster expansions of polymer gases subjected to hard-core exclusions, with emphasis on polymers defined as finite subsets of a countable set (e.g. contour expansions and more generally high- and low-temperature expansions). In order of increasing strength, these criteria are: (i) Dobrushin criterion, obtained by a simple inductive argument; (ii) Gruber-Kunz criterion obtained through the use of Kirkwood-Salzburg equations, and (iii) a criterion obtained by two of us via a direct combinatorial handling of the terms of the expansion. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3261","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1002.3261","created_at":"2026-05-18T02:09:00.193232+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.3261v1","created_at":"2026-05-18T02:09:00.193232+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3261","created_at":"2026-05-18T02:09:00.193232+00:00"},{"alias_kind":"pith_short_12","alias_value":"EBLKTICVEHA4","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"EBLKTICVEHA43VEA","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"EBLKTICV","created_at":"2026-05-18T12:26:06.534383+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/EBLKTICVEHA43VEATUIERNH6CD","json":"https://pith.science/pith/EBLKTICVEHA43VEATUIERNH6CD.json","graph_json":"https://pith.science/api/pith-number/EBLKTICVEHA43VEATUIERNH6CD/graph.json","events_json":"https://pith.science/api/pith-number/EBLKTICVEHA43VEATUIERNH6CD/events.json","paper":"https://pith.science/paper/EBLKTICV"},"agent_actions":{"view_html":"https://pith.science/pith/EBLKTICVEHA43VEATUIERNH6CD","download_json":"https://pith.science/pith/EBLKTICVEHA43VEATUIERNH6CD.json","view_paper":"https://pith.science/paper/EBLKTICV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.3261&json=true","fetch_graph":"https://pith.science/api/pith-number/EBLKTICVEHA43VEATUIERNH6CD/graph.json","fetch_events":"https://pith.science/api/pith-number/EBLKTICVEHA43VEATUIERNH6CD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EBLKTICVEHA43VEATUIERNH6CD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EBLKTICVEHA43VEATUIERNH6CD/action/storage_attestation","attest_author":"https://pith.science/pith/EBLKTICVEHA43VEATUIERNH6CD/action/author_attestation","sign_citation":"https://pith.science/pith/EBLKTICVEHA43VEATUIERNH6CD/action/citation_signature","submit_replication":"https://pith.science/pith/EBLKTICVEHA43VEATUIERNH6CD/action/replication_record"}},"created_at":"2026-05-18T02:09:00.193232+00:00","updated_at":"2026-05-18T02:09:00.193232+00:00"}