{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:22RHOXTTVM3ZATYEADZPOZ7DZV","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":"9c61d001738caa7ac7a95c9025dc090184bd12b84f5c754e845f89712d7c1222","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-05-24T23:58:50Z","title_canon_sha256":"2f429d3f1337459f38b5b2361e5eaf6190f5d176ba7f33a64e99804a064e83a2"},"schema_version":"1.0","source":{"id":"gr-qc/0205107","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0205107","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0205107v2","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0205107","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"22RHOXTTVM3Z","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"22RHOXTTVM3ZATYE","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"22RHOXTT","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:96d4c0b2992feea24f5f8bd3031506a679879623ea14881bb5afc68e495f4017","target":"graph","created_at":"2026-05-18T04:35:34Z","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 find the perturbation spectrum of a family of spherically symmetric and continuously self-similar (CSS) exact solutions that appear to be relevant for the critical collapse of scalar field matter in 2+1 spacetime dimensions. The rate of exponential growth of the unstable perturbation yields the critical exponent. Our results are compared to the numerical simulations of Pretorius and Choptuik and are inconclusive: We find a CSS solution with exactly one unstable mode, which suggests that it may be the critical solution, but another CSS solution which has three unstable modes fits the numeric","authors_text":"Carsten Gundlach, David Garfinkle","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-05-24T23:58:50Z","title":"Perturbations of an exact solution for 2+1 dimensional critical collapse"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0205107","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:effb55212c26e0ea7ea50425ece5bbe3884f2282403503bf6f254fc49822b0f4","target":"record","created_at":"2026-05-18T04:35:34Z","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":"9c61d001738caa7ac7a95c9025dc090184bd12b84f5c754e845f89712d7c1222","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-05-24T23:58:50Z","title_canon_sha256":"2f429d3f1337459f38b5b2361e5eaf6190f5d176ba7f33a64e99804a064e83a2"},"schema_version":"1.0","source":{"id":"gr-qc/0205107","kind":"arxiv","version":2}},"canonical_sha256":"d6a2775e73ab37904f0400f2f767e3cd7d227742537e3e27aff5106678402db3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6a2775e73ab37904f0400f2f767e3cd7d227742537e3e27aff5106678402db3","first_computed_at":"2026-05-18T04:35:34.974160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:34.974160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sQhkEFcUx1PLoIw6ZIMavZ+rH4kk5rp8nHd87AbyRPnvPY/RFstvUcwuP3t9BOdNIhc0WjOUrO6WV5y1uWPoCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:34.975032Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0205107","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:effb55212c26e0ea7ea50425ece5bbe3884f2282403503bf6f254fc49822b0f4","sha256:96d4c0b2992feea24f5f8bd3031506a679879623ea14881bb5afc68e495f4017"],"state_sha256":"bc5310bee6615ca2a53fb66df5890c3220c161d7995c6b4654d4dc178130fe7c"}