{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:F3H3NWS7NP2KSU4L4YKRTUS4HG","short_pith_number":"pith:F3H3NWS7","canonical_record":{"source":{"id":"0811.0464","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-11-04T10:13:41Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"6cd3bb5d6e8d1239608ca8b0f60f619911dfd95709b18219c89ddd4af25217f8","abstract_canon_sha256":"2f6aad202099ca3291edef12c02a307ac690de60ef7d4dd7750f75df9712dc4c"},"schema_version":"1.0"},"canonical_sha256":"2ecfb6da5f6bf4a9538be61519d25c39ac894251906251295aa4c55b53af9320","source":{"kind":"arxiv","id":"0811.0464","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0464","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0464v2","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0464","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"F3H3NWS7NP2K","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"pith_short_16","alias_value":"F3H3NWS7NP2KSU4L","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"pith_short_8","alias_value":"F3H3NWS7","created_at":"2026-07-04T15:38:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:F3H3NWS7NP2KSU4L4YKRTUS4HG","target":"record","payload":{"canonical_record":{"source":{"id":"0811.0464","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-11-04T10:13:41Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"6cd3bb5d6e8d1239608ca8b0f60f619911dfd95709b18219c89ddd4af25217f8","abstract_canon_sha256":"2f6aad202099ca3291edef12c02a307ac690de60ef7d4dd7750f75df9712dc4c"},"schema_version":"1.0"},"canonical_sha256":"2ecfb6da5f6bf4a9538be61519d25c39ac894251906251295aa4c55b53af9320","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:38:53.309336Z","signature_b64":"91RA1u1EKiA5KfdGraWAfwPTgPe2ugfIuZxaJD+fq8pJr+MgzP9EFbfeYcWkv24sm3rUfewyjGaMpXf1CU3DCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ecfb6da5f6bf4a9538be61519d25c39ac894251906251295aa4c55b53af9320","last_reissued_at":"2026-07-04T15:38:53.308862Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:38:53.308862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.0464","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:38:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rcVzuJHhLj1oyaXtCn3EoLvN1lJi8geogoYJY7kVn4PWG/VhXYnUQQAU2F8AH+Zshi57FBo85488g4kk3kiuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:09:47.962692Z"},"content_sha256":"5a527f6033413174633ae3ec818556c857940dcf40b0dfcd753b1d269ed24020","schema_version":"1.0","event_id":"sha256:5a527f6033413174633ae3ec818556c857940dcf40b0dfcd753b1d269ed24020"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:F3H3NWS7NP2KSU4L4YKRTUS4HG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Locations of multicritical points for spin glasses on regular lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Masayuki Ohzeki","submitted_at":"2008-11-04T10:13:41Z","abstract_excerpt":"We present an analysis leading to precise locations of the multicritical points for spin glasses on regular lattices. The conventional technique for determination of the location of the multicritical point was previously derived using a hypothesis emerging from duality and the replica method. In the present study, we propose a systematic technique, by an improved technique, giving more precise locations of the multicritical points on the square, triangular, and hexagonal lattices by carefully examining relationship between two partition functions related with each other by the duality. We can "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0464","kind":"arxiv","version":2},"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/0811.0464/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:38:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WE7X2i8UWICJvdFGzSjxqZN7i95KVoljeeUyMBZ/LaKRtFPrBZZ7TCu1aPW57psSubC8sPetlxr3vEP/RjA/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:09:47.963218Z"},"content_sha256":"e2ff4a4820ab5c2f338945f11ee011dec10b5fe91c576041c8d96fa215813e1a","schema_version":"1.0","event_id":"sha256:e2ff4a4820ab5c2f338945f11ee011dec10b5fe91c576041c8d96fa215813e1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F3H3NWS7NP2KSU4L4YKRTUS4HG/bundle.json","state_url":"https://pith.science/pith/F3H3NWS7NP2KSU4L4YKRTUS4HG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F3H3NWS7NP2KSU4L4YKRTUS4HG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T22:09:47Z","links":{"resolver":"https://pith.science/pith/F3H3NWS7NP2KSU4L4YKRTUS4HG","bundle":"https://pith.science/pith/F3H3NWS7NP2KSU4L4YKRTUS4HG/bundle.json","state":"https://pith.science/pith/F3H3NWS7NP2KSU4L4YKRTUS4HG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F3H3NWS7NP2KSU4L4YKRTUS4HG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:F3H3NWS7NP2KSU4L4YKRTUS4HG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2f6aad202099ca3291edef12c02a307ac690de60ef7d4dd7750f75df9712dc4c","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-11-04T10:13:41Z","title_canon_sha256":"6cd3bb5d6e8d1239608ca8b0f60f619911dfd95709b18219c89ddd4af25217f8"},"schema_version":"1.0","source":{"id":"0811.0464","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0464","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0464v2","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0464","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"F3H3NWS7NP2K","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"pith_short_16","alias_value":"F3H3NWS7NP2KSU4L","created_at":"2026-07-04T15:38:53Z"},{"alias_kind":"pith_short_8","alias_value":"F3H3NWS7","created_at":"2026-07-04T15:38:53Z"}],"graph_snapshots":[{"event_id":"sha256:e2ff4a4820ab5c2f338945f11ee011dec10b5fe91c576041c8d96fa215813e1a","target":"graph","created_at":"2026-07-04T15:38:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0811.0464/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an analysis leading to precise locations of the multicritical points for spin glasses on regular lattices. The conventional technique for determination of the location of the multicritical point was previously derived using a hypothesis emerging from duality and the replica method. In the present study, we propose a systematic technique, by an improved technique, giving more precise locations of the multicritical points on the square, triangular, and hexagonal lattices by carefully examining relationship between two partition functions related with each other by the duality. We can ","authors_text":"Masayuki Ohzeki","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-11-04T10:13:41Z","title":"Locations of multicritical points for spin glasses on regular lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0464","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5a527f6033413174633ae3ec818556c857940dcf40b0dfcd753b1d269ed24020","target":"record","created_at":"2026-07-04T15:38:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2f6aad202099ca3291edef12c02a307ac690de60ef7d4dd7750f75df9712dc4c","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-11-04T10:13:41Z","title_canon_sha256":"6cd3bb5d6e8d1239608ca8b0f60f619911dfd95709b18219c89ddd4af25217f8"},"schema_version":"1.0","source":{"id":"0811.0464","kind":"arxiv","version":2}},"canonical_sha256":"2ecfb6da5f6bf4a9538be61519d25c39ac894251906251295aa4c55b53af9320","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ecfb6da5f6bf4a9538be61519d25c39ac894251906251295aa4c55b53af9320","first_computed_at":"2026-07-04T15:38:53.308862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:38:53.308862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"91RA1u1EKiA5KfdGraWAfwPTgPe2ugfIuZxaJD+fq8pJr+MgzP9EFbfeYcWkv24sm3rUfewyjGaMpXf1CU3DCg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:38:53.309336Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.0464","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a527f6033413174633ae3ec818556c857940dcf40b0dfcd753b1d269ed24020","sha256:e2ff4a4820ab5c2f338945f11ee011dec10b5fe91c576041c8d96fa215813e1a"],"state_sha256":"34fafd77b5aa9da2fc45dcf222d2cfe415f5e6f2ff51524b5f8899e5ae666b60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j4ogK2CUMr8YvdvR8m/fQ4LD0Fbs2/DSaRGBWrq65yiooOZO+1boWCEBQf0O3yUcu7aW9ZceOyq+Wrh3exT8DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T22:09:47.966495Z","bundle_sha256":"25fcf04d6648ef45d2fb7439e61c2394eb7ad3ff430d0d5060aac4ab2a44c2fd"}}