{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4WICSOBTYRBDZURMLMWRX3PCCP","short_pith_number":"pith:4WICSOBT","canonical_record":{"source":{"id":"1011.3321","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-11-15T09:24:59Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f6c89d2d2552c27422febeb533ea76db7d1f72bbbbd5a2d4f9d4c6787501f5f5","abstract_canon_sha256":"c17bb714250df489ff5e37bbaf84b5a4e56550e988c03322e0f1b688cb4d5145"},"schema_version":"1.0"},"canonical_sha256":"e590293833c4423cd22c5b2d1bede213ce0413ac85375cb69d896b4fc9f2e992","source":{"kind":"arxiv","id":"1011.3321","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3321","created_at":"2026-05-18T04:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3321v2","created_at":"2026-05-18T04:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3321","created_at":"2026-05-18T04:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"4WICSOBTYRBD","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4WICSOBTYRBDZURM","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4WICSOBT","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4WICSOBTYRBDZURMLMWRX3PCCP","target":"record","payload":{"canonical_record":{"source":{"id":"1011.3321","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-11-15T09:24:59Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f6c89d2d2552c27422febeb533ea76db7d1f72bbbbd5a2d4f9d4c6787501f5f5","abstract_canon_sha256":"c17bb714250df489ff5e37bbaf84b5a4e56550e988c03322e0f1b688cb4d5145"},"schema_version":"1.0"},"canonical_sha256":"e590293833c4423cd22c5b2d1bede213ce0413ac85375cb69d896b4fc9f2e992","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:19.125360Z","signature_b64":"+EOvC2I1hFVjWY99mh2Kbt+nviUX+t/CeDpHfe2+uVuaj7xbmkT1ThRm1+mtQPXpCE99KsutXoWywj4oXcTDBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e590293833c4423cd22c5b2d1bede213ce0413ac85375cb69d896b4fc9f2e992","last_reissued_at":"2026-05-18T04:34:19.124768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:19.124768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.3321","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":"2026-05-18T04:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IbIZjLuL15FnuqFqYhKZ10NlRizZuk5oGdzcAtJcUx//9oUgMxdHZaTcEUHHElFmr3TpQCFBaGeippdKljbIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T17:20:49.075716Z"},"content_sha256":"c4ce3307c16be29a0bfe03a5b6057bd64ecde6b7abe39fd36fb0343f4d78b443","schema_version":"1.0","event_id":"sha256:c4ce3307c16be29a0bfe03a5b6057bd64ecde6b7abe39fd36fb0343f4d78b443"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4WICSOBTYRBDZURMLMWRX3PCCP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase transition of two-dimensional generalized XY model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.comp-ph","authors_text":"Yukihiro Komura, Yutaka Okabe","submitted_at":"2010-11-15T09:24:59Z","abstract_excerpt":"We study the two-dimensional generalized XY model that depends on an integer $q$ by the Monte Carlo method. This model was recently proposed by Romano and Zagrebnov. We find a single Kosterlitz-Thouless (KT) transition for all values of $q$, in contrast with the previous speculation that there may be two transitions, one a regular KT transition and another a first-order transition at a higher temperature. We show the universality of the KT transitions by comparing the universal finite-size scaling behaviors at different values of $q$ without assuming a specific universal form in terms of the K"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3321","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":""},"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":"2026-05-18T04:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xhnzzdhnxLkUW4QkC2a1t0Ohqu8/RW9Cmb56BXMqUDgfcaeKUZVyTvgUqVHTv3susqOJ3C7uhnBr/nYrhkUaDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T17:20:49.076068Z"},"content_sha256":"3544ceee36df4a585898240e4d9a7ec61ff53c4d671953f9dcafa034633547c6","schema_version":"1.0","event_id":"sha256:3544ceee36df4a585898240e4d9a7ec61ff53c4d671953f9dcafa034633547c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4WICSOBTYRBDZURMLMWRX3PCCP/bundle.json","state_url":"https://pith.science/pith/4WICSOBTYRBDZURMLMWRX3PCCP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4WICSOBTYRBDZURMLMWRX3PCCP/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":"2026-07-02T17:20:49Z","links":{"resolver":"https://pith.science/pith/4WICSOBTYRBDZURMLMWRX3PCCP","bundle":"https://pith.science/pith/4WICSOBTYRBDZURMLMWRX3PCCP/bundle.json","state":"https://pith.science/pith/4WICSOBTYRBDZURMLMWRX3PCCP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4WICSOBTYRBDZURMLMWRX3PCCP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4WICSOBTYRBDZURMLMWRX3PCCP","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":"c17bb714250df489ff5e37bbaf84b5a4e56550e988c03322e0f1b688cb4d5145","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-11-15T09:24:59Z","title_canon_sha256":"f6c89d2d2552c27422febeb533ea76db7d1f72bbbbd5a2d4f9d4c6787501f5f5"},"schema_version":"1.0","source":{"id":"1011.3321","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3321","created_at":"2026-05-18T04:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3321v2","created_at":"2026-05-18T04:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3321","created_at":"2026-05-18T04:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"4WICSOBTYRBD","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4WICSOBTYRBDZURM","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4WICSOBT","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:3544ceee36df4a585898240e4d9a7ec61ff53c4d671953f9dcafa034633547c6","target":"graph","created_at":"2026-05-18T04:34:19Z","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 study the two-dimensional generalized XY model that depends on an integer $q$ by the Monte Carlo method. This model was recently proposed by Romano and Zagrebnov. We find a single Kosterlitz-Thouless (KT) transition for all values of $q$, in contrast with the previous speculation that there may be two transitions, one a regular KT transition and another a first-order transition at a higher temperature. We show the universality of the KT transitions by comparing the universal finite-size scaling behaviors at different values of $q$ without assuming a specific universal form in terms of the K","authors_text":"Yukihiro Komura, Yutaka Okabe","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-11-15T09:24:59Z","title":"Phase transition of two-dimensional generalized XY model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3321","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:c4ce3307c16be29a0bfe03a5b6057bd64ecde6b7abe39fd36fb0343f4d78b443","target":"record","created_at":"2026-05-18T04:34:19Z","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":"c17bb714250df489ff5e37bbaf84b5a4e56550e988c03322e0f1b688cb4d5145","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-11-15T09:24:59Z","title_canon_sha256":"f6c89d2d2552c27422febeb533ea76db7d1f72bbbbd5a2d4f9d4c6787501f5f5"},"schema_version":"1.0","source":{"id":"1011.3321","kind":"arxiv","version":2}},"canonical_sha256":"e590293833c4423cd22c5b2d1bede213ce0413ac85375cb69d896b4fc9f2e992","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e590293833c4423cd22c5b2d1bede213ce0413ac85375cb69d896b4fc9f2e992","first_computed_at":"2026-05-18T04:34:19.124768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:19.124768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+EOvC2I1hFVjWY99mh2Kbt+nviUX+t/CeDpHfe2+uVuaj7xbmkT1ThRm1+mtQPXpCE99KsutXoWywj4oXcTDBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:19.125360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3321","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4ce3307c16be29a0bfe03a5b6057bd64ecde6b7abe39fd36fb0343f4d78b443","sha256:3544ceee36df4a585898240e4d9a7ec61ff53c4d671953f9dcafa034633547c6"],"state_sha256":"f7c8f3df95e991eb194c2e5bcad1d188f2ce9b32fdc89e26fb8a7331b0ef3ef7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3YGoNigpf2R94vvcE6VuuxARcSyYRdukDhhdPvoSjCYpEWZE0zn7tDTOuSvln8nKMjvztTYpo0d8WOe7PeJ4Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T17:20:49.078438Z","bundle_sha256":"bf5a849f38883b14816bfb7681df81dc2f00f56400ea3d0e88a8d70a4741114c"}}