{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:6KA6K7XPSWENS3FPCGK3DHCNAI","short_pith_number":"pith:6KA6K7XP","schema_version":"1.0","canonical_sha256":"f281e57eef9588d96caf1195b19c4d021a7daafe9850e61e3fb0cfe300f579b1","source":{"kind":"arxiv","id":"1110.5799","version":1},"attestation_state":"computed","paper":{"title":"Renormalization Group in the uniqueness region: weak Gibbsianity and convergence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Emilio N.M. Cirillo, E. Olivieri, L. Bertini","submitted_at":"2011-10-26T14:15:52Z","abstract_excerpt":"We analyze the block averaging transformation applied to lattice gas models with short range interaction in the uniqueness region below the critical temperature. We prove weak Gibbsianity of the renormalized measure and convergence of the renormalized potential in a weak sense. Since we are arbitrarily close to the coexistence region we have a diverging characteristic length of the system: the correlation length or the critical length for metastability, or both. Thus, to perturbatively treat the problem we have to use a scale-adapted expansion. Moreover, such a model below the critical tempera"},"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":"1110.5799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-26T14:15:52Z","cross_cats_sorted":[],"title_canon_sha256":"39fbfcb2ce68cc7918b3d6036ebdaaf228ad384749a2629d366e0622cd9868b4","abstract_canon_sha256":"9d7a3f294204adb357c34732ca24f0e06d16141007852215fc1ef44110a54710"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:03.624360Z","signature_b64":"+PVhKKIt6vqghg6dKGLttX+H57J4O0/9nWGrRh+gYQK6PkC0UwC4k4PelcgdAV4yjdfY6uIH+PyCkcgRHr2PDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f281e57eef9588d96caf1195b19c4d021a7daafe9850e61e3fb0cfe300f579b1","last_reissued_at":"2026-05-18T02:00:03.623885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:03.623885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization Group in the uniqueness region: weak Gibbsianity and convergence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Emilio N.M. Cirillo, E. Olivieri, L. Bertini","submitted_at":"2011-10-26T14:15:52Z","abstract_excerpt":"We analyze the block averaging transformation applied to lattice gas models with short range interaction in the uniqueness region below the critical temperature. We prove weak Gibbsianity of the renormalized measure and convergence of the renormalized potential in a weak sense. Since we are arbitrarily close to the coexistence region we have a diverging characteristic length of the system: the correlation length or the critical length for metastability, or both. Thus, to perturbatively treat the problem we have to use a scale-adapted expansion. Moreover, such a model below the critical tempera"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5799","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":"1110.5799","created_at":"2026-05-18T02:00:03.623954+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.5799v1","created_at":"2026-05-18T02:00:03.623954+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5799","created_at":"2026-05-18T02:00:03.623954+00:00"},{"alias_kind":"pith_short_12","alias_value":"6KA6K7XPSWEN","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"6KA6K7XPSWENS3FP","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"6KA6K7XP","created_at":"2026-05-18T12:26:22.705136+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/6KA6K7XPSWENS3FPCGK3DHCNAI","json":"https://pith.science/pith/6KA6K7XPSWENS3FPCGK3DHCNAI.json","graph_json":"https://pith.science/api/pith-number/6KA6K7XPSWENS3FPCGK3DHCNAI/graph.json","events_json":"https://pith.science/api/pith-number/6KA6K7XPSWENS3FPCGK3DHCNAI/events.json","paper":"https://pith.science/paper/6KA6K7XP"},"agent_actions":{"view_html":"https://pith.science/pith/6KA6K7XPSWENS3FPCGK3DHCNAI","download_json":"https://pith.science/pith/6KA6K7XPSWENS3FPCGK3DHCNAI.json","view_paper":"https://pith.science/paper/6KA6K7XP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.5799&json=true","fetch_graph":"https://pith.science/api/pith-number/6KA6K7XPSWENS3FPCGK3DHCNAI/graph.json","fetch_events":"https://pith.science/api/pith-number/6KA6K7XPSWENS3FPCGK3DHCNAI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6KA6K7XPSWENS3FPCGK3DHCNAI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6KA6K7XPSWENS3FPCGK3DHCNAI/action/storage_attestation","attest_author":"https://pith.science/pith/6KA6K7XPSWENS3FPCGK3DHCNAI/action/author_attestation","sign_citation":"https://pith.science/pith/6KA6K7XPSWENS3FPCGK3DHCNAI/action/citation_signature","submit_replication":"https://pith.science/pith/6KA6K7XPSWENS3FPCGK3DHCNAI/action/replication_record"}},"created_at":"2026-05-18T02:00:03.623954+00:00","updated_at":"2026-05-18T02:00:03.623954+00:00"}