{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:2OV5UBTDXZD6BCSY4QXOTLDZTB","short_pith_number":"pith:2OV5UBTD","schema_version":"1.0","canonical_sha256":"d3abda0663be47e08a58e42ee9ac799855d8f839d9f494e84dfedde9e0690498","source":{"kind":"arxiv","id":"1207.3920","version":1},"attestation_state":"computed","paper":{"title":"Critical phenomena and phase sequence in classical bilayer Wigner crystal at zero temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"E. Trizac, L. Samaj","submitted_at":"2012-07-17T09:00:50Z","abstract_excerpt":"We study the ground-state properties of a system of identical classical Coulombic point particles, evenly distributed between two equivalently charged parallel plates at distance $d$; the system as a whole is electroneutral. It was previously shown that upon increasing d from 0 to infinity, five different structures of the bilayer Wigner crystal become energetically favored, starting from a hexagonal lattice (phase I, d=0) and ending at a staggered hexagonal lattice (phase V, d -> infinity). In this paper, we derive new series representations of the ground-state energy for all five bilayer str"},"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":"1207.3920","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-07-17T09:00:50Z","cross_cats_sorted":[],"title_canon_sha256":"65ef696dd411075702c39a4965db0655b70e99af5f3b79487179b56201139c97","abstract_canon_sha256":"d8947b7fdbcffa8899f067280e09d106931e1ff23f359ccd6f503636d41fdb88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:17.588084Z","signature_b64":"G9xO4RXtiLZfUzP/m/XOF9JcYhqrolkYd03tkvHqj0QLG9uHlpjL9XGvaiJrQBP3QUX4TAZgQmjcBkipgCA1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3abda0663be47e08a58e42ee9ac799855d8f839d9f494e84dfedde9e0690498","last_reissued_at":"2026-05-18T01:56:17.587603Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:17.587603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical phenomena and phase sequence in classical bilayer Wigner crystal at zero temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"E. Trizac, L. Samaj","submitted_at":"2012-07-17T09:00:50Z","abstract_excerpt":"We study the ground-state properties of a system of identical classical Coulombic point particles, evenly distributed between two equivalently charged parallel plates at distance $d$; the system as a whole is electroneutral. It was previously shown that upon increasing d from 0 to infinity, five different structures of the bilayer Wigner crystal become energetically favored, starting from a hexagonal lattice (phase I, d=0) and ending at a staggered hexagonal lattice (phase V, d -> infinity). In this paper, we derive new series representations of the ground-state energy for all five bilayer str"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.3920","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":"1207.3920","created_at":"2026-05-18T01:56:17.587687+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.3920v1","created_at":"2026-05-18T01:56:17.587687+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.3920","created_at":"2026-05-18T01:56:17.587687+00:00"},{"alias_kind":"pith_short_12","alias_value":"2OV5UBTDXZD6","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"2OV5UBTDXZD6BCSY","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"2OV5UBTD","created_at":"2026-05-18T12:26:50.516681+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/2OV5UBTDXZD6BCSY4QXOTLDZTB","json":"https://pith.science/pith/2OV5UBTDXZD6BCSY4QXOTLDZTB.json","graph_json":"https://pith.science/api/pith-number/2OV5UBTDXZD6BCSY4QXOTLDZTB/graph.json","events_json":"https://pith.science/api/pith-number/2OV5UBTDXZD6BCSY4QXOTLDZTB/events.json","paper":"https://pith.science/paper/2OV5UBTD"},"agent_actions":{"view_html":"https://pith.science/pith/2OV5UBTDXZD6BCSY4QXOTLDZTB","download_json":"https://pith.science/pith/2OV5UBTDXZD6BCSY4QXOTLDZTB.json","view_paper":"https://pith.science/paper/2OV5UBTD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.3920&json=true","fetch_graph":"https://pith.science/api/pith-number/2OV5UBTDXZD6BCSY4QXOTLDZTB/graph.json","fetch_events":"https://pith.science/api/pith-number/2OV5UBTDXZD6BCSY4QXOTLDZTB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2OV5UBTDXZD6BCSY4QXOTLDZTB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2OV5UBTDXZD6BCSY4QXOTLDZTB/action/storage_attestation","attest_author":"https://pith.science/pith/2OV5UBTDXZD6BCSY4QXOTLDZTB/action/author_attestation","sign_citation":"https://pith.science/pith/2OV5UBTDXZD6BCSY4QXOTLDZTB/action/citation_signature","submit_replication":"https://pith.science/pith/2OV5UBTDXZD6BCSY4QXOTLDZTB/action/replication_record"}},"created_at":"2026-05-18T01:56:17.587687+00:00","updated_at":"2026-05-18T01:56:17.587687+00:00"}