{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:QUWIPEOYBCLWDSSI5L3KETZEAL","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":"0a6daefe65b571a8f065f12f7fdcc1f1259a5259fddb023052e96d30d39a8353","cross_cats_sorted":["math.AP","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2001-06-27T19:11:46Z","title_canon_sha256":"760765eb4fe7a2f77278addda42d013ae2fc8923eff885ed053a5e84bc861dfa"},"schema_version":"1.0","source":{"id":"math-ph/0106029","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0106029","created_at":"2026-07-04T16:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0106029v1","created_at":"2026-07-04T16:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0106029","created_at":"2026-07-04T16:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"QUWIPEOYBCLW","created_at":"2026-07-04T16:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"QUWIPEOYBCLWDSSI","created_at":"2026-07-04T16:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"QUWIPEOY","created_at":"2026-07-04T16:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:c1b5f42afd8eaa558ae329d90b0339597abf318af91d634df4da8afb1771b01a","target":"graph","created_at":"2026-07-04T16:28:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math-ph/0106029/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present numerical evidence that singularities form in finite time during the evolution of 2+1 wave maps from spherically equivariant initial data of sufficient energy.","authors_text":"James Isenberg, Steven L. Liebling","cross_cats":["math.AP","math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2001-06-27T19:11:46Z","title":"Singularity Formation in 2+1 Wave Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0106029","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":"sha256:23c65739bae32b201050bc687c5bd0386a3a6b18655b4cc29d4d08198247f384","target":"record","created_at":"2026-07-04T16:28:14Z","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":"0a6daefe65b571a8f065f12f7fdcc1f1259a5259fddb023052e96d30d39a8353","cross_cats_sorted":["math.AP","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2001-06-27T19:11:46Z","title_canon_sha256":"760765eb4fe7a2f77278addda42d013ae2fc8923eff885ed053a5e84bc861dfa"},"schema_version":"1.0","source":{"id":"math-ph/0106029","kind":"arxiv","version":1}},"canonical_sha256":"852c8791d8089761ca48eaf6a24f2402cde3739fdcc21747aee21a8b55a9aec4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"852c8791d8089761ca48eaf6a24f2402cde3739fdcc21747aee21a8b55a9aec4","first_computed_at":"2026-07-04T16:28:14.433154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:28:14.433154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9QY5L423AyIC7lxwZ2PJb7xC/IcXCmAlLnQqOZth8snRPOnV5Em9cu32UWlicFKvb5LJEkneOLn23FXNky3MCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:28:14.433501Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0106029","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23c65739bae32b201050bc687c5bd0386a3a6b18655b4cc29d4d08198247f384","sha256:c1b5f42afd8eaa558ae329d90b0339597abf318af91d634df4da8afb1771b01a"],"state_sha256":"acc3a7888d9f7763f8838bfbe4db0a5b2c1d35c85c716f462dffc2aea62659bc"}