{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:ZXH4PEQWLORRRN723GQ75RE2R3","short_pith_number":"pith:ZXH4PEQW","canonical_record":{"source":{"id":"cond-mat/0212216","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-12-10T13:12:40Z","cross_cats_sorted":[],"title_canon_sha256":"ae77fa9f0a48050bf88be291e3f2f6dd895621f44143dc6d833dffc81565c4d5","abstract_canon_sha256":"fc901c132013fbdf192ba8235df2455f7cbf3216dfc62cdc0ea81b5e526d3c2a"},"schema_version":"1.0"},"canonical_sha256":"cdcfc792165ba318b7fad9a1fec49a8ef97ca74b414d1780f643589bf0fd4d4d","source":{"kind":"arxiv","id":"cond-mat/0212216","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0212216","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0212216v2","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0212216","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"ZXH4PEQWLORR","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"ZXH4PEQWLORRRN72","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"ZXH4PEQW","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:ZXH4PEQWLORRRN723GQ75RE2R3","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0212216","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-12-10T13:12:40Z","cross_cats_sorted":[],"title_canon_sha256":"ae77fa9f0a48050bf88be291e3f2f6dd895621f44143dc6d833dffc81565c4d5","abstract_canon_sha256":"fc901c132013fbdf192ba8235df2455f7cbf3216dfc62cdc0ea81b5e526d3c2a"},"schema_version":"1.0"},"canonical_sha256":"cdcfc792165ba318b7fad9a1fec49a8ef97ca74b414d1780f643589bf0fd4d4d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:38.494488Z","signature_b64":"a6RkUG15yE8fMoWb/QkCpyP6KQd8efuo/F5V9zu3vO1L5PNhYLLyOClCGqVWLKh3t8aAQ1M58j/BTFQ0LCq5Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdcfc792165ba318b7fad9a1fec49a8ef97ca74b414d1780f643589bf0fd4d4d","last_reissued_at":"2026-05-18T04:38:38.493822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:38.493822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0212216","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":"2026-05-18T04:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WDkE2pNlortRXFtybZKca/OWyJMM36ABmDFvQXbJYDP1LWZaQ3Tnu0WDd7Q1sCDfRQtifcNn2WiSr+tA+KiIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T11:00:26.347877Z"},"content_sha256":"75a1ac1322aa9b861875dd9af4a31c895451722936b21f82c12d01e7c4d5a631","schema_version":"1.0","event_id":"sha256:75a1ac1322aa9b861875dd9af4a31c895451722936b21f82c12d01e7c4d5a631"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:ZXH4PEQWLORRRN723GQ75RE2R3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractal geometry of critical Potts clusters","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A. Aharony, B. B. Mandelbrot, E. M. Rauch, J. Asikainen, J.-P. Hovi","submitted_at":"2002-12-10T13:12:40Z","abstract_excerpt":"Numerical simulations on the total mass, the numbers of bonds on the hull, external perimeter, singly connected bonds and gates into large fjords of the Fortuin-Kasteleyn clusters for two-dimensional q-state Potts models at criticality are presented. The data are found consistent with the recently derived corrections-to-scaling theory. However, the approach to the asymptotic region is slow, and the present range of the data does not allow a unique identification of the exact correction exponents"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0212216","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":"2026-05-18T04:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G4Od5aGeC5SXp3DKiKvD88qV0ecGJhlAOCLhLJ3aZJ7KTQVwCVDiZbDyAWA2k2/+xhLLlTnFSuAQBuG4x+f3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T11:00:26.348210Z"},"content_sha256":"c411e50a8f71fc5d8c8fba81dbc74775d95f72be43d11e6b476663eb9e73deef","schema_version":"1.0","event_id":"sha256:c411e50a8f71fc5d8c8fba81dbc74775d95f72be43d11e6b476663eb9e73deef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZXH4PEQWLORRRN723GQ75RE2R3/bundle.json","state_url":"https://pith.science/pith/ZXH4PEQWLORRRN723GQ75RE2R3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZXH4PEQWLORRRN723GQ75RE2R3/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":"2026-06-03T11:00:26Z","links":{"resolver":"https://pith.science/pith/ZXH4PEQWLORRRN723GQ75RE2R3","bundle":"https://pith.science/pith/ZXH4PEQWLORRRN723GQ75RE2R3/bundle.json","state":"https://pith.science/pith/ZXH4PEQWLORRRN723GQ75RE2R3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZXH4PEQWLORRRN723GQ75RE2R3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:ZXH4PEQWLORRRN723GQ75RE2R3","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":"fc901c132013fbdf192ba8235df2455f7cbf3216dfc62cdc0ea81b5e526d3c2a","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-12-10T13:12:40Z","title_canon_sha256":"ae77fa9f0a48050bf88be291e3f2f6dd895621f44143dc6d833dffc81565c4d5"},"schema_version":"1.0","source":{"id":"cond-mat/0212216","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0212216","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0212216v2","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0212216","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"ZXH4PEQWLORR","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"ZXH4PEQWLORRRN72","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"ZXH4PEQW","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:c411e50a8f71fc5d8c8fba81dbc74775d95f72be43d11e6b476663eb9e73deef","target":"graph","created_at":"2026-05-18T04:38:38Z","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":"Numerical simulations on the total mass, the numbers of bonds on the hull, external perimeter, singly connected bonds and gates into large fjords of the Fortuin-Kasteleyn clusters for two-dimensional q-state Potts models at criticality are presented. The data are found consistent with the recently derived corrections-to-scaling theory. However, the approach to the asymptotic region is slow, and the present range of the data does not allow a unique identification of the exact correction exponents","authors_text":"A. Aharony, B. B. Mandelbrot, E. M. Rauch, J. Asikainen, J.-P. Hovi","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-12-10T13:12:40Z","title":"Fractal geometry of critical Potts clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0212216","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":"sha256:75a1ac1322aa9b861875dd9af4a31c895451722936b21f82c12d01e7c4d5a631","target":"record","created_at":"2026-05-18T04:38:38Z","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":"fc901c132013fbdf192ba8235df2455f7cbf3216dfc62cdc0ea81b5e526d3c2a","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-12-10T13:12:40Z","title_canon_sha256":"ae77fa9f0a48050bf88be291e3f2f6dd895621f44143dc6d833dffc81565c4d5"},"schema_version":"1.0","source":{"id":"cond-mat/0212216","kind":"arxiv","version":2}},"canonical_sha256":"cdcfc792165ba318b7fad9a1fec49a8ef97ca74b414d1780f643589bf0fd4d4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdcfc792165ba318b7fad9a1fec49a8ef97ca74b414d1780f643589bf0fd4d4d","first_computed_at":"2026-05-18T04:38:38.493822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:38.493822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a6RkUG15yE8fMoWb/QkCpyP6KQd8efuo/F5V9zu3vO1L5PNhYLLyOClCGqVWLKh3t8aAQ1M58j/BTFQ0LCq5Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:38.494488Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0212216","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75a1ac1322aa9b861875dd9af4a31c895451722936b21f82c12d01e7c4d5a631","sha256:c411e50a8f71fc5d8c8fba81dbc74775d95f72be43d11e6b476663eb9e73deef"],"state_sha256":"bfaae975d5cfc6733d3e80777183df0dd817403a54970a26e3970c2fc6b4fe64"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l6zO0Z8Md+d2971F3F/1nN0AdnrjAxKZyxvHx09EdVcMFJBRCY+9tvcPrnM4cIfcROFIiBrslTbEH7zf+rbQBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T11:00:26.350302Z","bundle_sha256":"2af51bf9b5a89ebcbd7e215adbdf2e2ee4b47d9409cfa12098a70b7d8c71c1a7"}}