{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:4Z7Y56NS7YZPYJT42B3AH474SV","short_pith_number":"pith:4Z7Y56NS","canonical_record":{"source":{"id":"gr-qc/9811004","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-11-02T23:32:18Z","cross_cats_sorted":[],"title_canon_sha256":"992ce7e06a6a4194a8dc67d3be1e485cfb44910577823e881db881de5212aa5b","abstract_canon_sha256":"c7e8e3986575f38beb2129a22e32f801bfc106079d1d79aa6f9c447cd28d0952"},"schema_version":"1.0"},"canonical_sha256":"e67f8ef9b2fe32fc267cd07603f3fc95764fca1b0223a340ce05044bc79241a9","source":{"kind":"arxiv","id":"gr-qc/9811004","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9811004","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9811004v1","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9811004","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"pith_short_12","alias_value":"4Z7Y56NS7YZP","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"4Z7Y56NS7YZPYJT4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"4Z7Y56NS","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:4Z7Y56NS7YZPYJT42B3AH474SV","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9811004","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-11-02T23:32:18Z","cross_cats_sorted":[],"title_canon_sha256":"992ce7e06a6a4194a8dc67d3be1e485cfb44910577823e881db881de5212aa5b","abstract_canon_sha256":"c7e8e3986575f38beb2129a22e32f801bfc106079d1d79aa6f9c447cd28d0952"},"schema_version":"1.0"},"canonical_sha256":"e67f8ef9b2fe32fc267cd07603f3fc95764fca1b0223a340ce05044bc79241a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:55.438638Z","signature_b64":"wBYMD+ZuseeUeserSQqJpUyDw6RdGnNwVDrAZB8pbFLI6L5Ec++cfKUIAjoQjks53TddU/mhm2kxl+0cjsz6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e67f8ef9b2fe32fc267cd07603f3fc95764fca1b0223a340ce05044bc79241a9","last_reissued_at":"2026-05-18T04:23:55.438087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:55.438087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9811004","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":"2026-05-18T04:23:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HprAaVqPOcxxTANDLzokheKnWDoMwgBDD+2EeN18cZPGv2iXeFjnlwbq6PoQ1UlOcZWvek7J+WH0/3J5EmzlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:14:05.264832Z"},"content_sha256":"60c41d6a4031392867e96ea1863eb817376f67fd69b482d729096e8d70be496d","schema_version":"1.0","event_id":"sha256:60c41d6a4031392867e96ea1863eb817376f67fd69b482d729096e8d70be496d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:4Z7Y56NS7YZPYJT42B3AH474SV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Angular momentum near the black hole threshold in scalar field collapse","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"C. Gundlach, D. Garfinkle, J. M. Martin-Garcia","submitted_at":"1998-11-02T23:32:18Z","abstract_excerpt":"For the formation of a black hole in the gravitational collapse of a massless scalar field, we calculate a critical exponent that governs the black hole angular momentum for slightly non-spherical initial data near the black hole threshold. We calculate the scaling law by second-order perturbation theory. We then use the numerical results of a previous first-order perturbative analysis to obtain the numerical value mu ~ 0.76 for the angular momentum critical exponent. A quasi-periodic fine structure is superimposed on the overall power law."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9811004","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":"2026-05-18T04:23:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"msJ9bghHekKS7BDdBivnBviocYP/qmDAp+hJa5EQhGO6GqeL61IkRA4GE382T7vwWe1u63NI6LubnhG/3NFxBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:14:05.265521Z"},"content_sha256":"1d35aed9f388c8e9a12cf29b89dc75f565b54177414c5d6c34348d6cfa7ecd33","schema_version":"1.0","event_id":"sha256:1d35aed9f388c8e9a12cf29b89dc75f565b54177414c5d6c34348d6cfa7ecd33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4Z7Y56NS7YZPYJT42B3AH474SV/bundle.json","state_url":"https://pith.science/pith/4Z7Y56NS7YZPYJT42B3AH474SV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4Z7Y56NS7YZPYJT42B3AH474SV/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":"2026-05-25T20:14:05Z","links":{"resolver":"https://pith.science/pith/4Z7Y56NS7YZPYJT42B3AH474SV","bundle":"https://pith.science/pith/4Z7Y56NS7YZPYJT42B3AH474SV/bundle.json","state":"https://pith.science/pith/4Z7Y56NS7YZPYJT42B3AH474SV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4Z7Y56NS7YZPYJT42B3AH474SV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:4Z7Y56NS7YZPYJT42B3AH474SV","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":"c7e8e3986575f38beb2129a22e32f801bfc106079d1d79aa6f9c447cd28d0952","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-11-02T23:32:18Z","title_canon_sha256":"992ce7e06a6a4194a8dc67d3be1e485cfb44910577823e881db881de5212aa5b"},"schema_version":"1.0","source":{"id":"gr-qc/9811004","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9811004","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9811004v1","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9811004","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"pith_short_12","alias_value":"4Z7Y56NS7YZP","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"4Z7Y56NS7YZPYJT4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"4Z7Y56NS","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:1d35aed9f388c8e9a12cf29b89dc75f565b54177414c5d6c34348d6cfa7ecd33","target":"graph","created_at":"2026-05-18T04:23:55Z","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":"For the formation of a black hole in the gravitational collapse of a massless scalar field, we calculate a critical exponent that governs the black hole angular momentum for slightly non-spherical initial data near the black hole threshold. We calculate the scaling law by second-order perturbation theory. We then use the numerical results of a previous first-order perturbative analysis to obtain the numerical value mu ~ 0.76 for the angular momentum critical exponent. A quasi-periodic fine structure is superimposed on the overall power law.","authors_text":"C. Gundlach, D. Garfinkle, J. M. Martin-Garcia","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-11-02T23:32:18Z","title":"Angular momentum near the black hole threshold in scalar field collapse"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9811004","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":"sha256:60c41d6a4031392867e96ea1863eb817376f67fd69b482d729096e8d70be496d","target":"record","created_at":"2026-05-18T04:23:55Z","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":"c7e8e3986575f38beb2129a22e32f801bfc106079d1d79aa6f9c447cd28d0952","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-11-02T23:32:18Z","title_canon_sha256":"992ce7e06a6a4194a8dc67d3be1e485cfb44910577823e881db881de5212aa5b"},"schema_version":"1.0","source":{"id":"gr-qc/9811004","kind":"arxiv","version":1}},"canonical_sha256":"e67f8ef9b2fe32fc267cd07603f3fc95764fca1b0223a340ce05044bc79241a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e67f8ef9b2fe32fc267cd07603f3fc95764fca1b0223a340ce05044bc79241a9","first_computed_at":"2026-05-18T04:23:55.438087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:55.438087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wBYMD+ZuseeUeserSQqJpUyDw6RdGnNwVDrAZB8pbFLI6L5Ec++cfKUIAjoQjks53TddU/mhm2kxl+0cjsz6Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:55.438638Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9811004","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60c41d6a4031392867e96ea1863eb817376f67fd69b482d729096e8d70be496d","sha256:1d35aed9f388c8e9a12cf29b89dc75f565b54177414c5d6c34348d6cfa7ecd33"],"state_sha256":"2a8297db9c3dbc790070eb2ec7158db47ca221272599be67387bd88bcc03b414"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YDB/c/ym+8clj3aM9eCkSJ+hRkHYzVAwAtThLVh6U1CNe2kTR+S70WqaCSg6LfbmiJ7uxRXUH+/pRK4sQmatDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:14:05.269172Z","bundle_sha256":"ee255bf373a1535b25950d358c489336b801f3213398e7108839c5f27d379ba5"}}