{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:U6BU6FG2SZGCCMHFZNDJ4A4Z4D","short_pith_number":"pith:U6BU6FG2","schema_version":"1.0","canonical_sha256":"a7834f14da964c2130e5cb469e0399e0c24e873f4317958ff6abb5e334a53318","source":{"kind":"arxiv","id":"2411.16533","version":1},"attestation_state":"computed","paper":{"title":"Square ice Coulomb phase as a percolated vertex lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.str-el","authors_text":"Benjamin Canals, Johann Coraux, Nicod\\`eme Rougier, Nicolas Rougemaille","submitted_at":"2024-11-25T16:20:02Z","abstract_excerpt":"The square ice is a canonical example of a Coulomb phase in two dimensions: Its ground state is extensively degenerate and satisfies a local constraint on the spin arrangement (the so-called ice rule). In this paper, we use a loop flip algorithm to explore the properties of this ground state that we analyze not in terms of a spin texture, but rather in terms of a spatial distribution of ice-rule satisfying vertices. More specifically, we determine for various lattice sizes the average vertex populations characterizing the ice manifold, the pairwise vertex correlations, and the size distributio"},"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":"2411.16533","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-11-25T16:20:02Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"7aa7e9c7a14d3a4cd5bb5e617f1651e94da4e8d8805c834afcbb087bdd27d9e6","abstract_canon_sha256":"0291e9aaf8176f1712849eade62ddc65fd4590237c6ad6d5c76812d7ec4d0033"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:40:10.803924Z","signature_b64":"QVnXwyw4413+B6BqrJhtZ/A8QQ0P+fqJanGVjfxXYjuXHLOQYJs3ELD1kTBpIZElj6SS8u6LW7E0dGbEIwmDDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7834f14da964c2130e5cb469e0399e0c24e873f4317958ff6abb5e334a53318","last_reissued_at":"2026-07-05T09:40:10.803578Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:40:10.803578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Square ice Coulomb phase as a percolated vertex lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.str-el","authors_text":"Benjamin Canals, Johann Coraux, Nicod\\`eme Rougier, Nicolas Rougemaille","submitted_at":"2024-11-25T16:20:02Z","abstract_excerpt":"The square ice is a canonical example of a Coulomb phase in two dimensions: Its ground state is extensively degenerate and satisfies a local constraint on the spin arrangement (the so-called ice rule). In this paper, we use a loop flip algorithm to explore the properties of this ground state that we analyze not in terms of a spin texture, but rather in terms of a spatial distribution of ice-rule satisfying vertices. More specifically, we determine for various lattice sizes the average vertex populations characterizing the ice manifold, the pairwise vertex correlations, and the size distributio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16533","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.16533/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2411.16533","created_at":"2026-07-05T09:40:10.803635+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.16533v1","created_at":"2026-07-05T09:40:10.803635+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.16533","created_at":"2026-07-05T09:40:10.803635+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6BU6FG2SZGC","created_at":"2026-07-05T09:40:10.803635+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6BU6FG2SZGCCMHF","created_at":"2026-07-05T09:40:10.803635+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6BU6FG2","created_at":"2026-07-05T09:40:10.803635+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/U6BU6FG2SZGCCMHFZNDJ4A4Z4D","json":"https://pith.science/pith/U6BU6FG2SZGCCMHFZNDJ4A4Z4D.json","graph_json":"https://pith.science/api/pith-number/U6BU6FG2SZGCCMHFZNDJ4A4Z4D/graph.json","events_json":"https://pith.science/api/pith-number/U6BU6FG2SZGCCMHFZNDJ4A4Z4D/events.json","paper":"https://pith.science/paper/U6BU6FG2"},"agent_actions":{"view_html":"https://pith.science/pith/U6BU6FG2SZGCCMHFZNDJ4A4Z4D","download_json":"https://pith.science/pith/U6BU6FG2SZGCCMHFZNDJ4A4Z4D.json","view_paper":"https://pith.science/paper/U6BU6FG2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.16533&json=true","fetch_graph":"https://pith.science/api/pith-number/U6BU6FG2SZGCCMHFZNDJ4A4Z4D/graph.json","fetch_events":"https://pith.science/api/pith-number/U6BU6FG2SZGCCMHFZNDJ4A4Z4D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6BU6FG2SZGCCMHFZNDJ4A4Z4D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6BU6FG2SZGCCMHFZNDJ4A4Z4D/action/storage_attestation","attest_author":"https://pith.science/pith/U6BU6FG2SZGCCMHFZNDJ4A4Z4D/action/author_attestation","sign_citation":"https://pith.science/pith/U6BU6FG2SZGCCMHFZNDJ4A4Z4D/action/citation_signature","submit_replication":"https://pith.science/pith/U6BU6FG2SZGCCMHFZNDJ4A4Z4D/action/replication_record"}},"created_at":"2026-07-05T09:40:10.803635+00:00","updated_at":"2026-07-05T09:40:10.803635+00:00"}