{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:MDTPEKJMUVM22NFMHFL7OTRHKA","short_pith_number":"pith:MDTPEKJM","schema_version":"1.0","canonical_sha256":"60e6f2292ca559ad34ac3957f74e27503f8ef8e57c1a44383630e0fb401ae359","source":{"kind":"arxiv","id":"hep-lat/9412076","version":1},"attestation_state":"computed","paper":{"title":"Complex-Temperature Singularities in the $d=2$ Ising Model. III. Honeycomb Lattice","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Robert Shrock, Victor Matveev","submitted_at":"1994-12-14T20:48:25Z","abstract_excerpt":"We study complex-temperature properties of the uniform and staggered susceptibilities $\\chi$ and $\\chi^{(a)}$ of the Ising model on the honeycomb lattice. From an analysis of low-temperature series expansions, we find evidence that $\\chi$ and $\\chi^{(a)}$ both have divergent singularities at the point $z=-1 \\equiv z_{\\ell}$ (where $z=e^{-2K}$), with exponents $\\gamma_{\\ell}'= \\gamma_{\\ell,a}'=5/2$. The critical amplitudes at this singularity are calculated. Using exact results, we extract the behaviour of the magnetisation $M$ and specific heat $C$ at complex-temperature singularities. We find"},"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":"hep-lat/9412076","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-12-14T20:48:25Z","cross_cats_sorted":[],"title_canon_sha256":"a28eae773f0cf4d54a2ea0b764f56926badf497be01638dc00b3bcaee9198bf2","abstract_canon_sha256":"12df994efd4f95ee497d5b9e905933fcfc698fbe1b9b8263cac1dcc0a006f415"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:13.467711Z","signature_b64":"vqKxmjqvAdI/YDjzaLj6gqbahOQsjDdZr1czArGzXtQ856+z9JAVq10NL1VXdeFQDxqc3klQVCWWB/sLNUxBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60e6f2292ca559ad34ac3957f74e27503f8ef8e57c1a44383630e0fb401ae359","last_reissued_at":"2026-05-18T01:39:13.467004Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:13.467004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complex-Temperature Singularities in the $d=2$ Ising Model. III. Honeycomb Lattice","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Robert Shrock, Victor Matveev","submitted_at":"1994-12-14T20:48:25Z","abstract_excerpt":"We study complex-temperature properties of the uniform and staggered susceptibilities $\\chi$ and $\\chi^{(a)}$ of the Ising model on the honeycomb lattice. From an analysis of low-temperature series expansions, we find evidence that $\\chi$ and $\\chi^{(a)}$ both have divergent singularities at the point $z=-1 \\equiv z_{\\ell}$ (where $z=e^{-2K}$), with exponents $\\gamma_{\\ell}'= \\gamma_{\\ell,a}'=5/2$. The critical amplitudes at this singularity are calculated. Using exact results, we extract the behaviour of the magnetisation $M$ and specific heat $C$ at complex-temperature singularities. We find"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9412076","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":"hep-lat/9412076","created_at":"2026-05-18T01:39:13.467109+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9412076v1","created_at":"2026-05-18T01:39:13.467109+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9412076","created_at":"2026-05-18T01:39:13.467109+00:00"},{"alias_kind":"pith_short_12","alias_value":"MDTPEKJMUVM2","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"MDTPEKJMUVM22NFM","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"MDTPEKJM","created_at":"2026-05-18T12:25:47.102015+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/MDTPEKJMUVM22NFMHFL7OTRHKA","json":"https://pith.science/pith/MDTPEKJMUVM22NFMHFL7OTRHKA.json","graph_json":"https://pith.science/api/pith-number/MDTPEKJMUVM22NFMHFL7OTRHKA/graph.json","events_json":"https://pith.science/api/pith-number/MDTPEKJMUVM22NFMHFL7OTRHKA/events.json","paper":"https://pith.science/paper/MDTPEKJM"},"agent_actions":{"view_html":"https://pith.science/pith/MDTPEKJMUVM22NFMHFL7OTRHKA","download_json":"https://pith.science/pith/MDTPEKJMUVM22NFMHFL7OTRHKA.json","view_paper":"https://pith.science/paper/MDTPEKJM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-lat/9412076&json=true","fetch_graph":"https://pith.science/api/pith-number/MDTPEKJMUVM22NFMHFL7OTRHKA/graph.json","fetch_events":"https://pith.science/api/pith-number/MDTPEKJMUVM22NFMHFL7OTRHKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MDTPEKJMUVM22NFMHFL7OTRHKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MDTPEKJMUVM22NFMHFL7OTRHKA/action/storage_attestation","attest_author":"https://pith.science/pith/MDTPEKJMUVM22NFMHFL7OTRHKA/action/author_attestation","sign_citation":"https://pith.science/pith/MDTPEKJMUVM22NFMHFL7OTRHKA/action/citation_signature","submit_replication":"https://pith.science/pith/MDTPEKJMUVM22NFMHFL7OTRHKA/action/replication_record"}},"created_at":"2026-05-18T01:39:13.467109+00:00","updated_at":"2026-05-18T01:39:13.467109+00:00"}