{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:P7GWO2TLLGOBBDSRDRSI5EW6GJ","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":"67e8891a1dc4caef6749dd0c5856806e5037b122f05b65462ffecd03a4ad0914","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-06-30T20:23:52Z","title_canon_sha256":"4f32fe38e9a794281bff1daa2fb3407b6c81bc87c70d0bd81996252891c6a270"},"schema_version":"1.0","source":{"id":"gr-qc/9606093","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9606093","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9606093v3","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9606093","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"P7GWO2TLLGOB","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"P7GWO2TLLGOBBDSR","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"P7GWO2TL","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:bd96bb203b6ca5af2bbdb8cfb39ff519e5b2573945e6155f5464cccd01d5765b","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 summarize results from a study of spherically symmetric collapse of a {\\it charged} (complex) massless scalar-field \\cite{Hod}. We present an analytic argument which conjecture the generalization of the mass-scaling relation and echoing phenomena, originally discovered by Choptuik, for the {\\it charged} case. Furthermore, we study the behaviour of the self-similar critical solution under {\\it external} perturbations -- addition of a cosmological constant $\\Lambda$ and a charge-conjugation $e$. Finally, we study the scaling-relation of the black-hole charge. Using an analytic argument we con","authors_text":"Shahar Hod, Tsvi Piran","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1996-06-30T20:23:52Z","title":"Critical Behaviour and Universality in Gravitational Collapse of a Charged Scalar Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9606093","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":"sha256:4a9b1184d333ba67733a41bd76a1b2632eb36002adbc282e3de147220e2cd270","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":"67e8891a1dc4caef6749dd0c5856806e5037b122f05b65462ffecd03a4ad0914","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-06-30T20:23:52Z","title_canon_sha256":"4f32fe38e9a794281bff1daa2fb3407b6c81bc87c70d0bd81996252891c6a270"},"schema_version":"1.0","source":{"id":"gr-qc/9606093","kind":"arxiv","version":3}},"canonical_sha256":"7fcd676a6b599c108e511c648e92de326f7b5de39bf45da5f2402409189e87e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fcd676a6b599c108e511c648e92de326f7b5de39bf45da5f2402409189e87e8","first_computed_at":"2026-05-18T04:35:34.130226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:34.130226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"43TMC5A6YIj6HPUb2EunETnCN3Pj81QAYje0sLmDJUeuimjwWAud+8ihWi2GfK/MoV3NNpgfVRgLLHiV8HnjBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:34.130910Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9606093","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a9b1184d333ba67733a41bd76a1b2632eb36002adbc282e3de147220e2cd270","sha256:bd96bb203b6ca5af2bbdb8cfb39ff519e5b2573945e6155f5464cccd01d5765b"],"state_sha256":"9e265a410adea12f2e2dbef35115eb1b487971f9648b971e180c1e21360896b9"}