{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:XZJZKXGUB2YBNA5FN4KQX5HL3Q","short_pith_number":"pith:XZJZKXGU","canonical_record":{"source":{"id":"cond-mat/0604093","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2006-04-04T14:43:33Z","cross_cats_sorted":[],"title_canon_sha256":"3367df2ecc75c1da7c5eb91866c7f388de9993ccc49358092ba655a8bce3251d","abstract_canon_sha256":"ac17ed5f539e7630f0d76d8f0a2e7e503d40790fe20cd085bfca7067dd588298"},"schema_version":"1.0"},"canonical_sha256":"be53955cd40eb01683a56f150bf4ebdc2b490d3334ecf5249c6bd3a84a5e3da4","source":{"kind":"arxiv","id":"cond-mat/0604093","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0604093","created_at":"2026-05-18T01:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0604093v3","created_at":"2026-05-18T01:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0604093","created_at":"2026-05-18T01:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"XZJZKXGUB2YB","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"XZJZKXGUB2YBNA5F","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"XZJZKXGU","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:XZJZKXGUB2YBNA5FN4KQX5HL3Q","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0604093","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2006-04-04T14:43:33Z","cross_cats_sorted":[],"title_canon_sha256":"3367df2ecc75c1da7c5eb91866c7f388de9993ccc49358092ba655a8bce3251d","abstract_canon_sha256":"ac17ed5f539e7630f0d76d8f0a2e7e503d40790fe20cd085bfca7067dd588298"},"schema_version":"1.0"},"canonical_sha256":"be53955cd40eb01683a56f150bf4ebdc2b490d3334ecf5249c6bd3a84a5e3da4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:48.122134Z","signature_b64":"SH7T8DMthTr7Nzb2FsXG+EOnScxlxWSYUG+GXOFQoaiHl/XQuQu252vkYC4/tQRi0d1y8ybvRp2q+LpEr8DPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be53955cd40eb01683a56f150bf4ebdc2b490d3334ecf5249c6bd3a84a5e3da4","last_reissued_at":"2026-05-18T01:39:48.121405Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:48.121405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0604093","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XJZljctOaWgWh/4tnuKwbC5cofycC0C+XoG5Z7Hy6gKNGPN+rR6YoIHxEyQIf8kAzu/OBtpUkJOgRF7DHwJPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T10:51:44.546458Z"},"content_sha256":"0f192a39fcd6c33cc42b79e4500be90035b35a5a4d3a570a4708a4da12b438dc","schema_version":"1.0","event_id":"sha256:0f192a39fcd6c33cc42b79e4500be90035b35a5a4d3a570a4708a4da12b438dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:XZJZKXGUB2YBNA5FN4KQX5HL3Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamic critical phenomena in disordered systems with finite geometry","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"E. Korutcheva, H. Chamati","submitted_at":"2006-04-04T14:43:33Z","abstract_excerpt":"We study the critical dynamics of hyper-cubic finite size system in the presence of quenched short-range correlated disorder. By using the random $T_c$ model A for the critical dynamics and the renormalization group method in the vicinity of the upper critical dimension $d=4$, we derive in first order of $\\epsilon$ the expression for the relaxation time. Its finite-size scaling behavior is discussed both analytically and numerically in details. This was made possible by analyzing carefully the finite--size effects on the Onsager kinetic coefficient. The obtained results are compared to those r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0604093","kind":"arxiv","version":3},"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":"2026-05-18T01:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uGKB3gme5KcJkl6jcenFawU1qGE4Cd694P/9CpZrPr1jVxMFdlEQOEVK7o0Q5vi1ck7G1dZ5lC8z98s5RuecBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T10:51:44.546812Z"},"content_sha256":"5f24ebd789fc857399248e745e3114e8d69121b12dfd2a7e821bbe48914692f0","schema_version":"1.0","event_id":"sha256:5f24ebd789fc857399248e745e3114e8d69121b12dfd2a7e821bbe48914692f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XZJZKXGUB2YBNA5FN4KQX5HL3Q/bundle.json","state_url":"https://pith.science/pith/XZJZKXGUB2YBNA5FN4KQX5HL3Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XZJZKXGUB2YBNA5FN4KQX5HL3Q/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":"2026-06-22T10:51:44Z","links":{"resolver":"https://pith.science/pith/XZJZKXGUB2YBNA5FN4KQX5HL3Q","bundle":"https://pith.science/pith/XZJZKXGUB2YBNA5FN4KQX5HL3Q/bundle.json","state":"https://pith.science/pith/XZJZKXGUB2YBNA5FN4KQX5HL3Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XZJZKXGUB2YBNA5FN4KQX5HL3Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:XZJZKXGUB2YBNA5FN4KQX5HL3Q","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":"ac17ed5f539e7630f0d76d8f0a2e7e503d40790fe20cd085bfca7067dd588298","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2006-04-04T14:43:33Z","title_canon_sha256":"3367df2ecc75c1da7c5eb91866c7f388de9993ccc49358092ba655a8bce3251d"},"schema_version":"1.0","source":{"id":"cond-mat/0604093","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0604093","created_at":"2026-05-18T01:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0604093v3","created_at":"2026-05-18T01:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0604093","created_at":"2026-05-18T01:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"XZJZKXGUB2YB","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"XZJZKXGUB2YBNA5F","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"XZJZKXGU","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:5f24ebd789fc857399248e745e3114e8d69121b12dfd2a7e821bbe48914692f0","target":"graph","created_at":"2026-05-18T01:39:48Z","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 critical dynamics of hyper-cubic finite size system in the presence of quenched short-range correlated disorder. By using the random $T_c$ model A for the critical dynamics and the renormalization group method in the vicinity of the upper critical dimension $d=4$, we derive in first order of $\\epsilon$ the expression for the relaxation time. Its finite-size scaling behavior is discussed both analytically and numerically in details. This was made possible by analyzing carefully the finite--size effects on the Onsager kinetic coefficient. The obtained results are compared to those r","authors_text":"E. Korutcheva, H. Chamati","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2006-04-04T14:43:33Z","title":"Dynamic critical phenomena in disordered systems with finite geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0604093","kind":"arxiv","version":3},"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":"sha256:0f192a39fcd6c33cc42b79e4500be90035b35a5a4d3a570a4708a4da12b438dc","target":"record","created_at":"2026-05-18T01:39:48Z","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":"ac17ed5f539e7630f0d76d8f0a2e7e503d40790fe20cd085bfca7067dd588298","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2006-04-04T14:43:33Z","title_canon_sha256":"3367df2ecc75c1da7c5eb91866c7f388de9993ccc49358092ba655a8bce3251d"},"schema_version":"1.0","source":{"id":"cond-mat/0604093","kind":"arxiv","version":3}},"canonical_sha256":"be53955cd40eb01683a56f150bf4ebdc2b490d3334ecf5249c6bd3a84a5e3da4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be53955cd40eb01683a56f150bf4ebdc2b490d3334ecf5249c6bd3a84a5e3da4","first_computed_at":"2026-05-18T01:39:48.121405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:48.121405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SH7T8DMthTr7Nzb2FsXG+EOnScxlxWSYUG+GXOFQoaiHl/XQuQu252vkYC4/tQRi0d1y8ybvRp2q+LpEr8DPCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:48.122134Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0604093","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f192a39fcd6c33cc42b79e4500be90035b35a5a4d3a570a4708a4da12b438dc","sha256:5f24ebd789fc857399248e745e3114e8d69121b12dfd2a7e821bbe48914692f0"],"state_sha256":"d60f3f2a1b30014c91704a19d0ae51b6607ebb3430846290b4cb1f863cd1a161"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8hvg+VVbzGPqUmCcuvydFTIg0XLo+YoCRk/deJEAiCmatSW6eJQntl513T9KheyR4JiMwG0R1Na0YmiPirsuAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T10:51:44.548747Z","bundle_sha256":"3bdb5b0e762b373992c00f58543019bb8d4852b0f371705b2575b5271123a2fc"}}