{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:GDCWQMI2ZNEPWN5WLDZKMLRZLU","short_pith_number":"pith:GDCWQMI2","canonical_record":{"source":{"id":"cond-mat/0109443","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-09-24T21:59:06Z","cross_cats_sorted":[],"title_canon_sha256":"199586c3d27b28ac7200cfc6aed66e6fc7fb3aafe6a4e144c2570a519c9ba8ee","abstract_canon_sha256":"470defda7e577339e3241ecfee59ca8e28a12f93e0dc2dd8792b0fb4d7c099d1"},"schema_version":"1.0"},"canonical_sha256":"30c568311acb48fb37b658f2a62e395d2f35f02dc31720a43f2dcd3ef4caaa70","source":{"kind":"arxiv","id":"cond-mat/0109443","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0109443","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0109443v1","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0109443","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"pith_short_12","alias_value":"GDCWQMI2ZNEP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GDCWQMI2ZNEPWN5W","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GDCWQMI2","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:GDCWQMI2ZNEPWN5WLDZKMLRZLU","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0109443","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-09-24T21:59:06Z","cross_cats_sorted":[],"title_canon_sha256":"199586c3d27b28ac7200cfc6aed66e6fc7fb3aafe6a4e144c2570a519c9ba8ee","abstract_canon_sha256":"470defda7e577339e3241ecfee59ca8e28a12f93e0dc2dd8792b0fb4d7c099d1"},"schema_version":"1.0"},"canonical_sha256":"30c568311acb48fb37b658f2a62e395d2f35f02dc31720a43f2dcd3ef4caaa70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:06.632025Z","signature_b64":"nLyaQD4eCKIzGjhsIOX9iLFHS0Z+GeYcFqE2jqt5+8Qogu9wXH0HkDRR+0AeR4MTCVoOD1/nBWbXDEFLr2vRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30c568311acb48fb37b658f2a62e395d2f35f02dc31720a43f2dcd3ef4caaa70","last_reissued_at":"2026-05-18T01:40:06.631558Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:06.631558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0109443","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":"2026-05-18T01:40:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GRMKzriH7oWNdwuIBlIx9rlP4AOhMC7tYGg4n8Z9jlLY30vnFTvPBIC950J7A5hPhyR8EytdZx4dCwFLN3OKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:01:06.515451Z"},"content_sha256":"45283c5c99a140db862e7eafa618a1879ab3153036423092ec8bfda4af9df58e","schema_version":"1.0","event_id":"sha256:45283c5c99a140db862e7eafa618a1879ab3153036423092ec8bfda4af9df58e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:GDCWQMI2ZNEPWN5WLDZKMLRZLU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Growth Exponent in the Domany-Kinzel Cellular Automaton","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A.P.F. Atman, J.G. Moreira","submitted_at":"2001-09-24T21:59:06Z","abstract_excerpt":"In a roughening process, the growth exponent $\\beta$ describes how the roughness $w$ grows with the time $t$: $w\\sim t^{\\beta}$. We determine the exponent $\\beta$ of a growth process generated by the spatiotemporal patterns of the one dimensional Domany-Kinzel cellular automaton. The values obtained for $\\beta$ shows a cusp at the frozen/active transition which permits determination of the transition line. The $\\beta$ value at the transition depends on the scheme used: symmetric ($\\beta \\sim 0.83$) or non-symmetric ($\\beta \\sim 0.61$). Using damage spreading ideas, we also determine the active"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0109443","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":"2026-05-18T01:40:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VX1lPAXhitGEIPtC+HHXWmF1vAQ1En2APFQ7U1HEQe7LS09I5rkmcDiifAjbz5tiotg1PfPvPJgCH+YuAzR3Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T11:01:06.515995Z"},"content_sha256":"fe176e29b0f4140692e9caecbece6c2f45b31736f5715f9222a029486308063f","schema_version":"1.0","event_id":"sha256:fe176e29b0f4140692e9caecbece6c2f45b31736f5715f9222a029486308063f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GDCWQMI2ZNEPWN5WLDZKMLRZLU/bundle.json","state_url":"https://pith.science/pith/GDCWQMI2ZNEPWN5WLDZKMLRZLU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GDCWQMI2ZNEPWN5WLDZKMLRZLU/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":"2026-06-07T11:01:06Z","links":{"resolver":"https://pith.science/pith/GDCWQMI2ZNEPWN5WLDZKMLRZLU","bundle":"https://pith.science/pith/GDCWQMI2ZNEPWN5WLDZKMLRZLU/bundle.json","state":"https://pith.science/pith/GDCWQMI2ZNEPWN5WLDZKMLRZLU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GDCWQMI2ZNEPWN5WLDZKMLRZLU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:GDCWQMI2ZNEPWN5WLDZKMLRZLU","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":"470defda7e577339e3241ecfee59ca8e28a12f93e0dc2dd8792b0fb4d7c099d1","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-09-24T21:59:06Z","title_canon_sha256":"199586c3d27b28ac7200cfc6aed66e6fc7fb3aafe6a4e144c2570a519c9ba8ee"},"schema_version":"1.0","source":{"id":"cond-mat/0109443","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0109443","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0109443v1","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0109443","created_at":"2026-05-18T01:40:06Z"},{"alias_kind":"pith_short_12","alias_value":"GDCWQMI2ZNEP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GDCWQMI2ZNEPWN5W","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GDCWQMI2","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:fe176e29b0f4140692e9caecbece6c2f45b31736f5715f9222a029486308063f","target":"graph","created_at":"2026-05-18T01:40:06Z","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":"In a roughening process, the growth exponent $\\beta$ describes how the roughness $w$ grows with the time $t$: $w\\sim t^{\\beta}$. We determine the exponent $\\beta$ of a growth process generated by the spatiotemporal patterns of the one dimensional Domany-Kinzel cellular automaton. The values obtained for $\\beta$ shows a cusp at the frozen/active transition which permits determination of the transition line. The $\\beta$ value at the transition depends on the scheme used: symmetric ($\\beta \\sim 0.83$) or non-symmetric ($\\beta \\sim 0.61$). Using damage spreading ideas, we also determine the active","authors_text":"A.P.F. Atman, J.G. Moreira","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-09-24T21:59:06Z","title":"Growth Exponent in the Domany-Kinzel Cellular Automaton"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0109443","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":"sha256:45283c5c99a140db862e7eafa618a1879ab3153036423092ec8bfda4af9df58e","target":"record","created_at":"2026-05-18T01:40:06Z","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":"470defda7e577339e3241ecfee59ca8e28a12f93e0dc2dd8792b0fb4d7c099d1","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-09-24T21:59:06Z","title_canon_sha256":"199586c3d27b28ac7200cfc6aed66e6fc7fb3aafe6a4e144c2570a519c9ba8ee"},"schema_version":"1.0","source":{"id":"cond-mat/0109443","kind":"arxiv","version":1}},"canonical_sha256":"30c568311acb48fb37b658f2a62e395d2f35f02dc31720a43f2dcd3ef4caaa70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30c568311acb48fb37b658f2a62e395d2f35f02dc31720a43f2dcd3ef4caaa70","first_computed_at":"2026-05-18T01:40:06.631558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:06.631558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nLyaQD4eCKIzGjhsIOX9iLFHS0Z+GeYcFqE2jqt5+8Qogu9wXH0HkDRR+0AeR4MTCVoOD1/nBWbXDEFLr2vRBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:06.632025Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0109443","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45283c5c99a140db862e7eafa618a1879ab3153036423092ec8bfda4af9df58e","sha256:fe176e29b0f4140692e9caecbece6c2f45b31736f5715f9222a029486308063f"],"state_sha256":"9a2bbe768107e2c10dd43b0186745c1a9b5df644b0c7280ccbfd3d4094378b7d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+16MkPrf8hh8YwgUfekRqarafSzuX3727692czAAIVayHQv+QOoadR7y45Bscbv7zOWmD4F5JNiTLyYATsgYAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T11:01:06.518639Z","bundle_sha256":"0a4e85d473accf7136b3824f2dd5900b5c3fe602882d125bd14359e854f3657a"}}