{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NEG22SKJAA2FFNPJYFH7TWFII2","short_pith_number":"pith:NEG22SKJ","canonical_record":{"source":{"id":"1407.2667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-10T01:28:54Z","cross_cats_sorted":[],"title_canon_sha256":"eab10f6c4ca5217861df414217b1ef796192b3145ab92ad9946cba889bc960bd","abstract_canon_sha256":"f633a54b07952d70f03359b1d18278cad72f1a3c19aee2785cfc3d11f0e8ab53"},"schema_version":"1.0"},"canonical_sha256":"690dad4949003452b5e9c14ff9d8a8468462143154edad0f23afddfca654a8bc","source":{"kind":"arxiv","id":"1407.2667","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2667","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2667v1","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2667","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"pith_short_12","alias_value":"NEG22SKJAA2F","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NEG22SKJAA2FFNPJ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NEG22SKJ","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NEG22SKJAA2FFNPJYFH7TWFII2","target":"record","payload":{"canonical_record":{"source":{"id":"1407.2667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-10T01:28:54Z","cross_cats_sorted":[],"title_canon_sha256":"eab10f6c4ca5217861df414217b1ef796192b3145ab92ad9946cba889bc960bd","abstract_canon_sha256":"f633a54b07952d70f03359b1d18278cad72f1a3c19aee2785cfc3d11f0e8ab53"},"schema_version":"1.0"},"canonical_sha256":"690dad4949003452b5e9c14ff9d8a8468462143154edad0f23afddfca654a8bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:53.979666Z","signature_b64":"uYt+/5deBq0nXv0BQXG+pEguztSfdYYEPGu/2p/+zF8ee7sHnYc9Jb3LIsw9IFE5VV6T3fBIDmCtFlGn0CfFAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"690dad4949003452b5e9c14ff9d8a8468462143154edad0f23afddfca654a8bc","last_reissued_at":"2026-05-18T02:47:53.979227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:53.979227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.2667","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:47:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QhoIx7bXnQjgTLD9bVbU3QzUgTAm3Ul//kM4HsTPOi7oLkzn7VSjSTTmnGoP+YIITWuf6/W7h3EUSWpSj8ckAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:05:33.539640Z"},"content_sha256":"fa8d743dcb28cfd76b504e0610f3bc27ff332a83920776e8926e5d05e9fb026a","schema_version":"1.0","event_id":"sha256:fa8d743dcb28cfd76b504e0610f3bc27ff332a83920776e8926e5d05e9fb026a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NEG22SKJAA2FFNPJYFH7TWFII2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Information Geometry for Husimi-Temperley Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Hiroaki Matsueda, Yoichiro Hashizume","submitted_at":"2014-07-10T01:28:54Z","abstract_excerpt":"We examine phase transition of the Husimi-Temperley model in terms of information geometry. For this purpose, we introduce the Fisher metric defined by the density matrix of the model. We find that the metric becomes hyperbolic at the critical point with respect to the energy scale. Then, the metric is invariant under the scale transformation. We also find that the equation of states is naturally derived from a necessary condition for the entropy operator that is a building block of the metric. Based on these findings, we conclude that the geometric quantities clearly detect the phase transiti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2667","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:47:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mPwWMezNsBm42QgKSEe+mKyV5o6IwtR+33Pl/X/qFyi9ISULnqScukdLkJOT5T5Og05fOm/N8LLD31sxwun0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:05:33.539995Z"},"content_sha256":"42f104a093ac945dbc30ed5471bcf7587f17d22a60dc8d294d7f1083923613e5","schema_version":"1.0","event_id":"sha256:42f104a093ac945dbc30ed5471bcf7587f17d22a60dc8d294d7f1083923613e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NEG22SKJAA2FFNPJYFH7TWFII2/bundle.json","state_url":"https://pith.science/pith/NEG22SKJAA2FFNPJYFH7TWFII2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NEG22SKJAA2FFNPJYFH7TWFII2/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":"2026-05-30T12:05:33Z","links":{"resolver":"https://pith.science/pith/NEG22SKJAA2FFNPJYFH7TWFII2","bundle":"https://pith.science/pith/NEG22SKJAA2FFNPJYFH7TWFII2/bundle.json","state":"https://pith.science/pith/NEG22SKJAA2FFNPJYFH7TWFII2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NEG22SKJAA2FFNPJYFH7TWFII2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NEG22SKJAA2FFNPJYFH7TWFII2","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":"f633a54b07952d70f03359b1d18278cad72f1a3c19aee2785cfc3d11f0e8ab53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-10T01:28:54Z","title_canon_sha256":"eab10f6c4ca5217861df414217b1ef796192b3145ab92ad9946cba889bc960bd"},"schema_version":"1.0","source":{"id":"1407.2667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2667","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2667v1","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2667","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"pith_short_12","alias_value":"NEG22SKJAA2F","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NEG22SKJAA2FFNPJ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NEG22SKJ","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:42f104a093ac945dbc30ed5471bcf7587f17d22a60dc8d294d7f1083923613e5","target":"graph","created_at":"2026-05-18T02:47:53Z","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"},"paper":{"abstract_excerpt":"We examine phase transition of the Husimi-Temperley model in terms of information geometry. For this purpose, we introduce the Fisher metric defined by the density matrix of the model. We find that the metric becomes hyperbolic at the critical point with respect to the energy scale. Then, the metric is invariant under the scale transformation. We also find that the equation of states is naturally derived from a necessary condition for the entropy operator that is a building block of the metric. Based on these findings, we conclude that the geometric quantities clearly detect the phase transiti","authors_text":"Hiroaki Matsueda, Yoichiro Hashizume","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-10T01:28:54Z","title":"Information Geometry for Husimi-Temperley Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2667","kind":"arxiv","version":1},"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:fa8d743dcb28cfd76b504e0610f3bc27ff332a83920776e8926e5d05e9fb026a","target":"record","created_at":"2026-05-18T02:47:53Z","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":"f633a54b07952d70f03359b1d18278cad72f1a3c19aee2785cfc3d11f0e8ab53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-10T01:28:54Z","title_canon_sha256":"eab10f6c4ca5217861df414217b1ef796192b3145ab92ad9946cba889bc960bd"},"schema_version":"1.0","source":{"id":"1407.2667","kind":"arxiv","version":1}},"canonical_sha256":"690dad4949003452b5e9c14ff9d8a8468462143154edad0f23afddfca654a8bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"690dad4949003452b5e9c14ff9d8a8468462143154edad0f23afddfca654a8bc","first_computed_at":"2026-05-18T02:47:53.979227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:53.979227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uYt+/5deBq0nXv0BQXG+pEguztSfdYYEPGu/2p/+zF8ee7sHnYc9Jb3LIsw9IFE5VV6T3fBIDmCtFlGn0CfFAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:53.979666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.2667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa8d743dcb28cfd76b504e0610f3bc27ff332a83920776e8926e5d05e9fb026a","sha256:42f104a093ac945dbc30ed5471bcf7587f17d22a60dc8d294d7f1083923613e5"],"state_sha256":"76d2c6dcd131fb70ff214809402243fec4302227eaa8479efca910af028a4b9c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"332BbsdPCF0qrSdiegYM/n7llk40VcaWQOvwmhjMXNsc5G8hbKY1YNGXg9ohJlWLuG1MPqO3i7m4eJ1otcmwBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:05:33.542076Z","bundle_sha256":"f95a19fab489ce7409da272d9445012a45c8c7b66b378eea42951efacf41255a"}}