{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:S6SMSPCA45J4K2BJYQV5ZYFJFO","short_pith_number":"pith:S6SMSPCA","schema_version":"1.0","canonical_sha256":"97a4c93c40e753c56829c42bdce0a92ba4fbfae2b78351d42189aedb2a223fa0","source":{"kind":"arxiv","id":"cond-mat/0409576","version":1},"attestation_state":"computed","paper":{"title":"A refined Razumov-Stroganov conjecture II","license":"","headline":"","cross_cats":["hep-th","math-ph","math.CO","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"P. Di Francesco","submitted_at":"2004-09-22T10:09:59Z","abstract_excerpt":"We extend a previous conjecture [cond-mat/0407477] relating the Perron-Frobenius eigenvector of the monodromy matrix of the O(1) loop model to refined numbers of alternating sign matrices. By considering the O(1) loop model on a semi-infinite cylinder with dislocations, we obtain the generating function for alternating sign matrices with prescribed positions of 1's on their top and bottom rows. This seems to indicate a deep correspondence between observables in both models."},"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":"cond-mat/0409576","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-09-22T10:09:59Z","cross_cats_sorted":["hep-th","math-ph","math.CO","math.MP"],"title_canon_sha256":"11caff8e79ffabf7ededdede6be276f662777c88034e54ea4e298c49b2f11509","abstract_canon_sha256":"b52e9268ce4cc1649926a70051e221181326cdf88738473f5f637ee611de6dc1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:38.190270Z","signature_b64":"bSVy4j/5UwCXpJBBzQF9mrK83zEpwz9vVThhk6EsYKcszt7G1hl4TIfgVFsXHZwwV9P/5DYdKv+//DYWyIJQCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97a4c93c40e753c56829c42bdce0a92ba4fbfae2b78351d42189aedb2a223fa0","last_reissued_at":"2026-05-18T04:28:38.189779Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:38.189779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A refined Razumov-Stroganov conjecture II","license":"","headline":"","cross_cats":["hep-th","math-ph","math.CO","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"P. Di Francesco","submitted_at":"2004-09-22T10:09:59Z","abstract_excerpt":"We extend a previous conjecture [cond-mat/0407477] relating the Perron-Frobenius eigenvector of the monodromy matrix of the O(1) loop model to refined numbers of alternating sign matrices. By considering the O(1) loop model on a semi-infinite cylinder with dislocations, we obtain the generating function for alternating sign matrices with prescribed positions of 1's on their top and bottom rows. This seems to indicate a deep correspondence between observables in both models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0409576","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":"cond-mat/0409576","created_at":"2026-05-18T04:28:38.189836+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0409576v1","created_at":"2026-05-18T04:28:38.189836+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0409576","created_at":"2026-05-18T04:28:38.189836+00:00"},{"alias_kind":"pith_short_12","alias_value":"S6SMSPCA45J4","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"S6SMSPCA45J4K2BJ","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"S6SMSPCA","created_at":"2026-05-18T12:25:52.687210+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/S6SMSPCA45J4K2BJYQV5ZYFJFO","json":"https://pith.science/pith/S6SMSPCA45J4K2BJYQV5ZYFJFO.json","graph_json":"https://pith.science/api/pith-number/S6SMSPCA45J4K2BJYQV5ZYFJFO/graph.json","events_json":"https://pith.science/api/pith-number/S6SMSPCA45J4K2BJYQV5ZYFJFO/events.json","paper":"https://pith.science/paper/S6SMSPCA"},"agent_actions":{"view_html":"https://pith.science/pith/S6SMSPCA45J4K2BJYQV5ZYFJFO","download_json":"https://pith.science/pith/S6SMSPCA45J4K2BJYQV5ZYFJFO.json","view_paper":"https://pith.science/paper/S6SMSPCA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0409576&json=true","fetch_graph":"https://pith.science/api/pith-number/S6SMSPCA45J4K2BJYQV5ZYFJFO/graph.json","fetch_events":"https://pith.science/api/pith-number/S6SMSPCA45J4K2BJYQV5ZYFJFO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S6SMSPCA45J4K2BJYQV5ZYFJFO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S6SMSPCA45J4K2BJYQV5ZYFJFO/action/storage_attestation","attest_author":"https://pith.science/pith/S6SMSPCA45J4K2BJYQV5ZYFJFO/action/author_attestation","sign_citation":"https://pith.science/pith/S6SMSPCA45J4K2BJYQV5ZYFJFO/action/citation_signature","submit_replication":"https://pith.science/pith/S6SMSPCA45J4K2BJYQV5ZYFJFO/action/replication_record"}},"created_at":"2026-05-18T04:28:38.189836+00:00","updated_at":"2026-05-18T04:28:38.189836+00:00"}