{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VGOMHP52UWXCJMM7REAO5OLTUG","short_pith_number":"pith:VGOMHP52","schema_version":"1.0","canonical_sha256":"a99cc3bfbaa5ae24b19f8900eeb973a1b433002fed822df550b7f851c3aef4a9","source":{"kind":"arxiv","id":"1309.6554","version":3},"attestation_state":"computed","paper":{"title":"Analytical estimates of the locations of phase transition points in the ground state for the bimodal Ising spin glass model in two dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Chiaki Yamaguchi","submitted_at":"2013-09-25T16:09:25Z","abstract_excerpt":"We analytically estimate the locations of phase transition points in the ground state for the $\\pm J$ random bond Ising model with asymmetric bond distributions on the square lattice. We propose and study the percolation transitions for two types of bond shared by two non-frustrated plaquettes. The present method indirectly treats the sizes of clusters of correlated spins for the ferromagnetic and spin glass orders. We find two transition points. The first transition point is the phase transition point for the ferromagnetic order, and the location is obtained as $p_c^{(1)} \\approx 0.895 \\, 399"},"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":"1309.6554","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-09-25T16:09:25Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"28e9dd16dc56b621c783d914022552bff58a0c98610354d5edc5260977fec491","abstract_canon_sha256":"af5c7cdfdda7c683b106527d4e686bad6056dfbeae6eb391d60d3db531550a42"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:34.020334Z","signature_b64":"l+JpkbpNEwC38JTba/9Ivr3O5cKmD03BO+f/cpyIb4+TpteyZHHj97qAC6iZcpNYRZR40h1C75fYT/ORDw7zCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a99cc3bfbaa5ae24b19f8900eeb973a1b433002fed822df550b7f851c3aef4a9","last_reissued_at":"2026-05-18T02:51:34.019765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:34.019765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytical estimates of the locations of phase transition points in the ground state for the bimodal Ising spin glass model in two dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Chiaki Yamaguchi","submitted_at":"2013-09-25T16:09:25Z","abstract_excerpt":"We analytically estimate the locations of phase transition points in the ground state for the $\\pm J$ random bond Ising model with asymmetric bond distributions on the square lattice. We propose and study the percolation transitions for two types of bond shared by two non-frustrated plaquettes. The present method indirectly treats the sizes of clusters of correlated spins for the ferromagnetic and spin glass orders. We find two transition points. The first transition point is the phase transition point for the ferromagnetic order, and the location is obtained as $p_c^{(1)} \\approx 0.895 \\, 399"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6554","kind":"arxiv","version":3},"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":"1309.6554","created_at":"2026-05-18T02:51:34.019841+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.6554v3","created_at":"2026-05-18T02:51:34.019841+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6554","created_at":"2026-05-18T02:51:34.019841+00:00"},{"alias_kind":"pith_short_12","alias_value":"VGOMHP52UWXC","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VGOMHP52UWXCJMM7","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VGOMHP52","created_at":"2026-05-18T12:28:04.890932+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/VGOMHP52UWXCJMM7REAO5OLTUG","json":"https://pith.science/pith/VGOMHP52UWXCJMM7REAO5OLTUG.json","graph_json":"https://pith.science/api/pith-number/VGOMHP52UWXCJMM7REAO5OLTUG/graph.json","events_json":"https://pith.science/api/pith-number/VGOMHP52UWXCJMM7REAO5OLTUG/events.json","paper":"https://pith.science/paper/VGOMHP52"},"agent_actions":{"view_html":"https://pith.science/pith/VGOMHP52UWXCJMM7REAO5OLTUG","download_json":"https://pith.science/pith/VGOMHP52UWXCJMM7REAO5OLTUG.json","view_paper":"https://pith.science/paper/VGOMHP52","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.6554&json=true","fetch_graph":"https://pith.science/api/pith-number/VGOMHP52UWXCJMM7REAO5OLTUG/graph.json","fetch_events":"https://pith.science/api/pith-number/VGOMHP52UWXCJMM7REAO5OLTUG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VGOMHP52UWXCJMM7REAO5OLTUG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VGOMHP52UWXCJMM7REAO5OLTUG/action/storage_attestation","attest_author":"https://pith.science/pith/VGOMHP52UWXCJMM7REAO5OLTUG/action/author_attestation","sign_citation":"https://pith.science/pith/VGOMHP52UWXCJMM7REAO5OLTUG/action/citation_signature","submit_replication":"https://pith.science/pith/VGOMHP52UWXCJMM7REAO5OLTUG/action/replication_record"}},"created_at":"2026-05-18T02:51:34.019841+00:00","updated_at":"2026-05-18T02:51:34.019841+00:00"}