{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FDZ5ZJGBN75ZW2P726LVCFKUEY","short_pith_number":"pith:FDZ5ZJGB","canonical_record":{"source":{"id":"1005.4836","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-26T14:58:38Z","cross_cats_sorted":[],"title_canon_sha256":"45bf4e09c904a33e3a809f4806df489bf25fdf1823c244c39d84ac3b009fd53d","abstract_canon_sha256":"70cc9bfc9061b4239823f8c693a14cbcee82e581217a0c10e5ad56c886966bfd"},"schema_version":"1.0"},"canonical_sha256":"28f3dca4c16ffb9b69ffd797511554260de66f739ecbaa6824cba778b2eef42d","source":{"kind":"arxiv","id":"1005.4836","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.4836","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1005.4836v1","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4836","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"FDZ5ZJGBN75Z","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FDZ5ZJGBN75ZW2P7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FDZ5ZJGB","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FDZ5ZJGBN75ZW2P726LVCFKUEY","target":"record","payload":{"canonical_record":{"source":{"id":"1005.4836","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-26T14:58:38Z","cross_cats_sorted":[],"title_canon_sha256":"45bf4e09c904a33e3a809f4806df489bf25fdf1823c244c39d84ac3b009fd53d","abstract_canon_sha256":"70cc9bfc9061b4239823f8c693a14cbcee82e581217a0c10e5ad56c886966bfd"},"schema_version":"1.0"},"canonical_sha256":"28f3dca4c16ffb9b69ffd797511554260de66f739ecbaa6824cba778b2eef42d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:07.854833Z","signature_b64":"RQceu8k/N0zghmL5nvFBLdVRN8QH5yfhRtbVkf+IhLzDBzj4wyZ1flFGmWz+aru1jDC4kTJItCTMwPqU2sgDBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28f3dca4c16ffb9b69ffd797511554260de66f739ecbaa6824cba778b2eef42d","last_reissued_at":"2026-05-18T02:07:07.854290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:07.854290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.4836","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":"2026-05-18T02:07:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qz3kU+MQCriR0ol4DsnC6ntdlVdAZDVXL4UfIeduc8IKcPPjXfmEmn2EMvZr3aeefIfNu4fdXntPsabgTeUHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:23:14.544303Z"},"content_sha256":"c90c94d876c8d7f07fb285cb41e44c20e384bcd2facc2c377fc8f238f20f5162","schema_version":"1.0","event_id":"sha256:c90c94d876c8d7f07fb285cb41e44c20e384bcd2facc2c377fc8f238f20f5162"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FDZ5ZJGBN75ZW2P726LVCFKUEY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comment on `Six-state clock model on the square lattice: Fisher zero approach with Wang-Landau sampling'","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Beom Jun Kim, Petter Minnhagen, Seung Ki Baek","submitted_at":"2010-05-26T14:58:38Z","abstract_excerpt":"Hwang in [Phys. Rev. E 80, 042103 (2009)] suggested that the two transitions of the six-state clock model on the square lattice are not of the Kosterlitz-Thouless type. Here we show from simulations thatat the upper transition, the helicity modulus does make a discontinuous jump to zero. This gives strong evidence for a Kosterlitz-Thouless transition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4836","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":"2026-05-18T02:07:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fb69XILp1bfJ31DA1SLS15U+Ikqz4RhKWIUBHDYnxn+pmfxD4oR2CpHsa3uDrZTQJUn+FD2BENAovoJ5buBiDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:23:14.544937Z"},"content_sha256":"347e5567618adab27bf926fb14ca73604ec7acf7bd2190145ab0df38be5a9e5d","schema_version":"1.0","event_id":"sha256:347e5567618adab27bf926fb14ca73604ec7acf7bd2190145ab0df38be5a9e5d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FDZ5ZJGBN75ZW2P726LVCFKUEY/bundle.json","state_url":"https://pith.science/pith/FDZ5ZJGBN75ZW2P726LVCFKUEY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FDZ5ZJGBN75ZW2P726LVCFKUEY/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":"2026-05-31T04:23:14Z","links":{"resolver":"https://pith.science/pith/FDZ5ZJGBN75ZW2P726LVCFKUEY","bundle":"https://pith.science/pith/FDZ5ZJGBN75ZW2P726LVCFKUEY/bundle.json","state":"https://pith.science/pith/FDZ5ZJGBN75ZW2P726LVCFKUEY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FDZ5ZJGBN75ZW2P726LVCFKUEY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FDZ5ZJGBN75ZW2P726LVCFKUEY","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":"70cc9bfc9061b4239823f8c693a14cbcee82e581217a0c10e5ad56c886966bfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-26T14:58:38Z","title_canon_sha256":"45bf4e09c904a33e3a809f4806df489bf25fdf1823c244c39d84ac3b009fd53d"},"schema_version":"1.0","source":{"id":"1005.4836","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.4836","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1005.4836v1","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4836","created_at":"2026-05-18T02:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"FDZ5ZJGBN75Z","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FDZ5ZJGBN75ZW2P7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FDZ5ZJGB","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:347e5567618adab27bf926fb14ca73604ec7acf7bd2190145ab0df38be5a9e5d","target":"graph","created_at":"2026-05-18T02:07:07Z","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":"Hwang in [Phys. Rev. E 80, 042103 (2009)] suggested that the two transitions of the six-state clock model on the square lattice are not of the Kosterlitz-Thouless type. Here we show from simulations thatat the upper transition, the helicity modulus does make a discontinuous jump to zero. This gives strong evidence for a Kosterlitz-Thouless transition.","authors_text":"Beom Jun Kim, Petter Minnhagen, Seung Ki Baek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-26T14:58:38Z","title":"Comment on `Six-state clock model on the square lattice: Fisher zero approach with Wang-Landau sampling'"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4836","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:c90c94d876c8d7f07fb285cb41e44c20e384bcd2facc2c377fc8f238f20f5162","target":"record","created_at":"2026-05-18T02:07:07Z","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":"70cc9bfc9061b4239823f8c693a14cbcee82e581217a0c10e5ad56c886966bfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-26T14:58:38Z","title_canon_sha256":"45bf4e09c904a33e3a809f4806df489bf25fdf1823c244c39d84ac3b009fd53d"},"schema_version":"1.0","source":{"id":"1005.4836","kind":"arxiv","version":1}},"canonical_sha256":"28f3dca4c16ffb9b69ffd797511554260de66f739ecbaa6824cba778b2eef42d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28f3dca4c16ffb9b69ffd797511554260de66f739ecbaa6824cba778b2eef42d","first_computed_at":"2026-05-18T02:07:07.854290Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:07.854290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RQceu8k/N0zghmL5nvFBLdVRN8QH5yfhRtbVkf+IhLzDBzj4wyZ1flFGmWz+aru1jDC4kTJItCTMwPqU2sgDBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:07.854833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.4836","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c90c94d876c8d7f07fb285cb41e44c20e384bcd2facc2c377fc8f238f20f5162","sha256:347e5567618adab27bf926fb14ca73604ec7acf7bd2190145ab0df38be5a9e5d"],"state_sha256":"18d5b2f6fba6727f92f008ecc361315cd4d1c102641d1a171be060d0356aeb95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GU6vrxIo1aH/qlQl+fh/yy/S3B3ozvh7BnI4Fm0STWZLP1FvUs0WkXOyRiIdSd2Su3CJtWTLUq/LGr2jg5mVAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:23:14.548961Z","bundle_sha256":"2648f0ef570eb46d26767c2ab205f99f3347d59ea878433b469824165629ccdf"}}