{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7SPAQGZMTBFC4TEPRFWXFXOBL3","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":"3c9d1b5cb7f6dd2ae5f9063e654d577000bec1b5eeb63fe90534d3e4011299b6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-10-30T11:54:35Z","title_canon_sha256":"70b62abdd70a573c7f1b386e62925e1bdab7594d0c4ce3fa17331538992b38c8"},"schema_version":"1.0","source":{"id":"1410.8337","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8337","created_at":"2026-05-18T02:25:41Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8337v1","created_at":"2026-05-18T02:25:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8337","created_at":"2026-05-18T02:25:41Z"},{"alias_kind":"pith_short_12","alias_value":"7SPAQGZMTBFC","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7SPAQGZMTBFC4TEP","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7SPAQGZM","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:19bfd32df30aea13163331fbc23a58a922614f7757d1d2046cb143f22164f95f","target":"graph","created_at":"2026-05-18T02:25:41Z","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 examine a one-parameter family of analytical solutions representing spherically symmetric collapse of a nonlinear massless scalar field with self-interaction in an asymptotically flat spacetime. The time evolution exhibits a type of critical behavior. Depending on the scalar charge parameter $q$ as compared to a critical value $q^*$, the incoming scalar wave collapses either to a globally naked central singularity if $q<q^*$ (weak field) or to a scalar-hairy black hole if $q>q^*$ (strong field), both having finite asymptotic masses. Near the critical evolution, the black hole mass follows a","authors_text":"H. Lu, Xuefeng Zhang","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-10-30T11:54:35Z","title":"Critical Behavior in a Massless Scalar Field Collapse with Self-interaction Potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8337","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":"sha256:3e22f89a6bef7a5f5dc90b86fb454a37d68baabd3f3dc138c045111e9a9df1ff","target":"record","created_at":"2026-05-18T02:25:41Z","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":"3c9d1b5cb7f6dd2ae5f9063e654d577000bec1b5eeb63fe90534d3e4011299b6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-10-30T11:54:35Z","title_canon_sha256":"70b62abdd70a573c7f1b386e62925e1bdab7594d0c4ce3fa17331538992b38c8"},"schema_version":"1.0","source":{"id":"1410.8337","kind":"arxiv","version":1}},"canonical_sha256":"fc9e081b2c984a2e4c8f896d72ddc15ef26dc3d332b76382170aaca1b3d4e12b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc9e081b2c984a2e4c8f896d72ddc15ef26dc3d332b76382170aaca1b3d4e12b","first_computed_at":"2026-05-18T02:25:41.530037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:41.530037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ip5ycMft1KanDRm8XL4xGaLb+z10009/SyvK8k1P/YutqBZ6steVXvldV/HQZTcEr3C7AVTJWAhBoeJ3YMvUCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:41.530661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.8337","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e22f89a6bef7a5f5dc90b86fb454a37d68baabd3f3dc138c045111e9a9df1ff","sha256:19bfd32df30aea13163331fbc23a58a922614f7757d1d2046cb143f22164f95f"],"state_sha256":"1f4e3d19c140a37f81dbab95ca8d7526faf0cc35473ff375c1e5629527577b87"}