{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:XJCYCYJFPBCGD3MNU27URGKJQG","short_pith_number":"pith:XJCYCYJF","schema_version":"1.0","canonical_sha256":"ba45816125784461ed8da6bf48994981b50be2ba0ab39029e283491070b01bea","source":{"kind":"arxiv","id":"math-ph/0312071","version":1},"attestation_state":"computed","paper":{"title":"On refined enumerations of some symmetry classes of ASMs","license":"","headline":"","cross_cats":["hep-th","math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"A. V. Razumov, Yu. G. Stroganov","submitted_at":"2003-12-29T09:31:05Z","abstract_excerpt":"Using determinant representations for partition functions of the corresponding square ice models and the method proposed recently by one of the authors, we investigate refined enumerations of vertically symmetric alternating-sign matrices, off-diagonally symmetric alternating-sign matrices and alternating-sign matrices with U-turn boundary. For all these cases the explicit formulas for refined enumerations are found. It particular, Kutin-Yuen conjecture is proved."},"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":"math-ph/0312071","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-12-29T09:31:05Z","cross_cats_sorted":["hep-th","math.CO","math.MP"],"title_canon_sha256":"2fde94ae41d117dc44cdca947fac134497baacd523402838bad3a61c5a53161b","abstract_canon_sha256":"5fc205de581c441691c6d61b75ff5360b70fd601a3091510625d2a7bbac1d379"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:27.172436Z","signature_b64":"RRN5Wah7igKkHh58vOBPvbbfGQQ9uQHxeSzCxBBpABuABSvnOGwVrhXiCgghUfquj4kK227Ac/cYkShaWbOjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba45816125784461ed8da6bf48994981b50be2ba0ab39029e283491070b01bea","last_reissued_at":"2026-05-18T04:17:27.171891Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:27.171891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On refined enumerations of some symmetry classes of ASMs","license":"","headline":"","cross_cats":["hep-th","math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"A. V. Razumov, Yu. G. Stroganov","submitted_at":"2003-12-29T09:31:05Z","abstract_excerpt":"Using determinant representations for partition functions of the corresponding square ice models and the method proposed recently by one of the authors, we investigate refined enumerations of vertically symmetric alternating-sign matrices, off-diagonally symmetric alternating-sign matrices and alternating-sign matrices with U-turn boundary. For all these cases the explicit formulas for refined enumerations are found. It particular, Kutin-Yuen conjecture is proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0312071","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":"math-ph/0312071","created_at":"2026-05-18T04:17:27.171951+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0312071v1","created_at":"2026-05-18T04:17:27.171951+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0312071","created_at":"2026-05-18T04:17:27.171951+00:00"},{"alias_kind":"pith_short_12","alias_value":"XJCYCYJFPBCG","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"XJCYCYJFPBCGD3MN","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"XJCYCYJF","created_at":"2026-05-18T12:25:52.051335+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/XJCYCYJFPBCGD3MNU27URGKJQG","json":"https://pith.science/pith/XJCYCYJFPBCGD3MNU27URGKJQG.json","graph_json":"https://pith.science/api/pith-number/XJCYCYJFPBCGD3MNU27URGKJQG/graph.json","events_json":"https://pith.science/api/pith-number/XJCYCYJFPBCGD3MNU27URGKJQG/events.json","paper":"https://pith.science/paper/XJCYCYJF"},"agent_actions":{"view_html":"https://pith.science/pith/XJCYCYJFPBCGD3MNU27URGKJQG","download_json":"https://pith.science/pith/XJCYCYJFPBCGD3MNU27URGKJQG.json","view_paper":"https://pith.science/paper/XJCYCYJF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0312071&json=true","fetch_graph":"https://pith.science/api/pith-number/XJCYCYJFPBCGD3MNU27URGKJQG/graph.json","fetch_events":"https://pith.science/api/pith-number/XJCYCYJFPBCGD3MNU27URGKJQG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XJCYCYJFPBCGD3MNU27URGKJQG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XJCYCYJFPBCGD3MNU27URGKJQG/action/storage_attestation","attest_author":"https://pith.science/pith/XJCYCYJFPBCGD3MNU27URGKJQG/action/author_attestation","sign_citation":"https://pith.science/pith/XJCYCYJFPBCGD3MNU27URGKJQG/action/citation_signature","submit_replication":"https://pith.science/pith/XJCYCYJFPBCGD3MNU27URGKJQG/action/replication_record"}},"created_at":"2026-05-18T04:17:27.171951+00:00","updated_at":"2026-05-18T04:17:27.171951+00:00"}