{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:H2HKEVVDCQL36FSIFBJOJJCFYR","short_pith_number":"pith:H2HKEVVD","schema_version":"1.0","canonical_sha256":"3e8ea256a31417bf16482852e4a445c469bca449f6f9aa82a2b85e1fc6e72f05","source":{"kind":"arxiv","id":"1411.1793","version":1},"attestation_state":"computed","paper":{"title":"Twists for duplex regions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Nicolau C. Saldanha, Pedro H. Milet","submitted_at":"2014-11-06T23:11:43Z","abstract_excerpt":"This note relies heavily on arXiv:1404.6509 and arXiv:1410.7693. Both articles discuss domino tilings of three-dimensional regions, and both are concerned with flips, the local move performed by removing two parallel dominoes and placing them back in the only other possible position. In the second article, an integer $\\operatorname{Tw}(t)$ is defined for any tiling $t$ of a large class of regions $\\mathcal{R}$: it turns out that $\\operatorname{Tw}(t)$ is invariant by flips. In the first article, a more complicated polynomial invariant $P_t(q)$ is introduced for tilings of two-story regions. It"},"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":"1411.1793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-11-06T23:11:43Z","cross_cats_sorted":[],"title_canon_sha256":"ba9033e461e4fa5970d34f7f897154a7aff055fa5fe63f61658b29b841832358","abstract_canon_sha256":"c7bb16fb57a1b4d03e269892f311223915c023147827b9d4838ffb7df36f8bb3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:25.988928Z","signature_b64":"UcTxQ0kPw6um6zdpGEK4+r6mPbPLYbZZ2tiUoDpuYzVVnBCAs2pP5gG4+oTJFXpi5GI7FsMiVDcD4amfCXosBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e8ea256a31417bf16482852e4a445c469bca449f6f9aa82a2b85e1fc6e72f05","last_reissued_at":"2026-05-18T02:38:25.988220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:25.988220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twists for duplex regions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Nicolau C. Saldanha, Pedro H. Milet","submitted_at":"2014-11-06T23:11:43Z","abstract_excerpt":"This note relies heavily on arXiv:1404.6509 and arXiv:1410.7693. Both articles discuss domino tilings of three-dimensional regions, and both are concerned with flips, the local move performed by removing two parallel dominoes and placing them back in the only other possible position. In the second article, an integer $\\operatorname{Tw}(t)$ is defined for any tiling $t$ of a large class of regions $\\mathcal{R}$: it turns out that $\\operatorname{Tw}(t)$ is invariant by flips. In the first article, a more complicated polynomial invariant $P_t(q)$ is introduced for tilings of two-story regions. It"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1793","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":"1411.1793","created_at":"2026-05-18T02:38:25.988332+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.1793v1","created_at":"2026-05-18T02:38:25.988332+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1793","created_at":"2026-05-18T02:38:25.988332+00:00"},{"alias_kind":"pith_short_12","alias_value":"H2HKEVVDCQL3","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"H2HKEVVDCQL36FSI","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"H2HKEVVD","created_at":"2026-05-18T12:28:30.664211+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2304.08468","citing_title":"Large deviations for the 3D dimer model","ref_index":10,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/H2HKEVVDCQL36FSIFBJOJJCFYR","json":"https://pith.science/pith/H2HKEVVDCQL36FSIFBJOJJCFYR.json","graph_json":"https://pith.science/api/pith-number/H2HKEVVDCQL36FSIFBJOJJCFYR/graph.json","events_json":"https://pith.science/api/pith-number/H2HKEVVDCQL36FSIFBJOJJCFYR/events.json","paper":"https://pith.science/paper/H2HKEVVD"},"agent_actions":{"view_html":"https://pith.science/pith/H2HKEVVDCQL36FSIFBJOJJCFYR","download_json":"https://pith.science/pith/H2HKEVVDCQL36FSIFBJOJJCFYR.json","view_paper":"https://pith.science/paper/H2HKEVVD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.1793&json=true","fetch_graph":"https://pith.science/api/pith-number/H2HKEVVDCQL36FSIFBJOJJCFYR/graph.json","fetch_events":"https://pith.science/api/pith-number/H2HKEVVDCQL36FSIFBJOJJCFYR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H2HKEVVDCQL36FSIFBJOJJCFYR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H2HKEVVDCQL36FSIFBJOJJCFYR/action/storage_attestation","attest_author":"https://pith.science/pith/H2HKEVVDCQL36FSIFBJOJJCFYR/action/author_attestation","sign_citation":"https://pith.science/pith/H2HKEVVDCQL36FSIFBJOJJCFYR/action/citation_signature","submit_replication":"https://pith.science/pith/H2HKEVVDCQL36FSIFBJOJJCFYR/action/replication_record"}},"created_at":"2026-05-18T02:38:25.988332+00:00","updated_at":"2026-05-18T02:38:25.988332+00:00"}