{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:SSNBW4OCVVBQMADXVPUJHEMI44","short_pith_number":"pith:SSNBW4OC","canonical_record":{"source":{"id":"cond-mat/0206367","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-06-19T14:36:09Z","cross_cats_sorted":[],"title_canon_sha256":"7cbb8cdd7c961946e7f94eb299ddd5045a550a7393ce22ec1b32a07109036fc0","abstract_canon_sha256":"35997a7ca8f62bd93f4b0700d87fa8b18bac12a7c0303fa7b61e51ec874b9b34"},"schema_version":"1.0"},"canonical_sha256":"949a1b71c2ad43060077abe8939188e72fa8ece81fd70ad05843b4bc58adb72b","source":{"kind":"arxiv","id":"cond-mat/0206367","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0206367","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0206367v2","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0206367","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"pith_short_12","alias_value":"SSNBW4OCVVBQ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"SSNBW4OCVVBQMADX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"SSNBW4OC","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:SSNBW4OCVVBQMADXVPUJHEMI44","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0206367","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-06-19T14:36:09Z","cross_cats_sorted":[],"title_canon_sha256":"7cbb8cdd7c961946e7f94eb299ddd5045a550a7393ce22ec1b32a07109036fc0","abstract_canon_sha256":"35997a7ca8f62bd93f4b0700d87fa8b18bac12a7c0303fa7b61e51ec874b9b34"},"schema_version":"1.0"},"canonical_sha256":"949a1b71c2ad43060077abe8939188e72fa8ece81fd70ad05843b4bc58adb72b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:06.521549Z","signature_b64":"B6afIXm1Kj0XdZTlzPnQ4vKv+yxy0FI/UKijh0beF2SAxXshAUjnuehQ5EoDCuNMpUP7ln72CnMEn7BUpFJ0CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"949a1b71c2ad43060077abe8939188e72fa8ece81fd70ad05843b4bc58adb72b","last_reissued_at":"2026-05-18T00:57:06.520941Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:06.520941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0206367","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":"2026-05-18T00:57:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sg+1VzJG5ya1OBjKY97IXE+iBgWDHM/QXnfzfzPnm1yM0Bv5VJsj0+7syJQJsHctTVfm42f7EFgErA8/RtSnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T22:45:56.057683Z"},"content_sha256":"715970805b4b56ce9c68545296306b6f273f3f2c2c987c11ca54200c08bf7d66","schema_version":"1.0","event_id":"sha256:715970805b4b56ce9c68545296306b6f273f3f2c2c987c11ca54200c08bf7d66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:SSNBW4OCVVBQMADXVPUJHEMI44","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractal dimensions and corrections to scaling for critical Potts clusters","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Aharony, J. Asikainen","submitted_at":"2002-06-19T14:36:09Z","abstract_excerpt":"Renormalization group and Coulomb gas mappings are used to derive theoretical predictions for the corrections to the exactly known asymptotic fractal masses of the hull, external perimeter, singly connected bonds and total mass of the Fortuin-Kasteleyn clusters for two-dimensional $q$-state Potts models at criticality. For q=4 these include exact logarithmic (as well as loglog) corrections."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0206367","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":"2026-05-18T00:57:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c5S4lKADK+3kNt5/PXYDfYwQi0xpY2gQs3LifvRO1dT0iTHO7X5MtAxYV0qx7gXHAZIW3vbJxGu2YUOV69/HAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T22:45:56.058129Z"},"content_sha256":"e004c3708b4aeeda59826da4f15208717270f04070aec963f489bc48f3e46602","schema_version":"1.0","event_id":"sha256:e004c3708b4aeeda59826da4f15208717270f04070aec963f489bc48f3e46602"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SSNBW4OCVVBQMADXVPUJHEMI44/bundle.json","state_url":"https://pith.science/pith/SSNBW4OCVVBQMADXVPUJHEMI44/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SSNBW4OCVVBQMADXVPUJHEMI44/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":"2026-08-13T22:45:56Z","links":{"resolver":"https://pith.science/pith/SSNBW4OCVVBQMADXVPUJHEMI44","bundle":"https://pith.science/pith/SSNBW4OCVVBQMADXVPUJHEMI44/bundle.json","state":"https://pith.science/pith/SSNBW4OCVVBQMADXVPUJHEMI44/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SSNBW4OCVVBQMADXVPUJHEMI44/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:SSNBW4OCVVBQMADXVPUJHEMI44","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":"35997a7ca8f62bd93f4b0700d87fa8b18bac12a7c0303fa7b61e51ec874b9b34","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-06-19T14:36:09Z","title_canon_sha256":"7cbb8cdd7c961946e7f94eb299ddd5045a550a7393ce22ec1b32a07109036fc0"},"schema_version":"1.0","source":{"id":"cond-mat/0206367","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0206367","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0206367v2","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0206367","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"pith_short_12","alias_value":"SSNBW4OCVVBQ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"SSNBW4OCVVBQMADX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"SSNBW4OC","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:e004c3708b4aeeda59826da4f15208717270f04070aec963f489bc48f3e46602","target":"graph","created_at":"2026-05-18T00:57:06Z","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":"Renormalization group and Coulomb gas mappings are used to derive theoretical predictions for the corrections to the exactly known asymptotic fractal masses of the hull, external perimeter, singly connected bonds and total mass of the Fortuin-Kasteleyn clusters for two-dimensional $q$-state Potts models at criticality. For q=4 these include exact logarithmic (as well as loglog) corrections.","authors_text":"A. Aharony, J. Asikainen","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-06-19T14:36:09Z","title":"Fractal dimensions and corrections to scaling for critical Potts clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0206367","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":"sha256:715970805b4b56ce9c68545296306b6f273f3f2c2c987c11ca54200c08bf7d66","target":"record","created_at":"2026-05-18T00:57:06Z","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":"35997a7ca8f62bd93f4b0700d87fa8b18bac12a7c0303fa7b61e51ec874b9b34","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-06-19T14:36:09Z","title_canon_sha256":"7cbb8cdd7c961946e7f94eb299ddd5045a550a7393ce22ec1b32a07109036fc0"},"schema_version":"1.0","source":{"id":"cond-mat/0206367","kind":"arxiv","version":2}},"canonical_sha256":"949a1b71c2ad43060077abe8939188e72fa8ece81fd70ad05843b4bc58adb72b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"949a1b71c2ad43060077abe8939188e72fa8ece81fd70ad05843b4bc58adb72b","first_computed_at":"2026-05-18T00:57:06.520941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:06.520941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B6afIXm1Kj0XdZTlzPnQ4vKv+yxy0FI/UKijh0beF2SAxXshAUjnuehQ5EoDCuNMpUP7ln72CnMEn7BUpFJ0CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:06.521549Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0206367","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:715970805b4b56ce9c68545296306b6f273f3f2c2c987c11ca54200c08bf7d66","sha256:e004c3708b4aeeda59826da4f15208717270f04070aec963f489bc48f3e46602"],"state_sha256":"83559e143da4a7feb58617c4461bb7931cf00efd148ea6f3977957376a6b7c41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tph1gPFJ/84jAaHZPDl4MqHnwD1TJdU8cGUCrikuqHNTeWeap3C9ITqkBLhjmAQ00P54lpVdExp8sAhIZH/bCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T22:45:56.063248Z","bundle_sha256":"1dfdc7fade39f14b73ebb7560f851be10731d3d8055f3f3a1223fc6757330833"}}