{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:7TWRAIM3YVQ77FGJ3G74VLDHAH","short_pith_number":"pith:7TWRAIM3","schema_version":"1.0","canonical_sha256":"fced10219bc561ff94c9d9bfcaac6701c94b804da83a498aae5001d913711bf3","source":{"kind":"arxiv","id":"gr-qc/0209084","version":3},"attestation_state":"computed","paper":{"title":"Black hole singularities: a new critical phenomenon","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lior M. Burko","submitted_at":"2002-09-23T19:51:20Z","abstract_excerpt":"The singularitiy inside a spherical charged black hole, coupled to a spherical, massless scalar field is studied numerically. The profile of the characteristic scalar field was taken to be a power of advanced time with an exponent $\\alpha>0$. A critical exponent $\\alpha_{\\rm crit}$ exists. For exponents below the critical one ($\\alpha<\\alpha_{\\rm crit}$) the singularity is a union of spacelike and null sectors, as is also the case for data with compact support. For exponents greater than the critical one ($\\alpha>\\alpha_{\\rm crit}$) an all-encompassing, spacelike singularity evolves, which com"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"gr-qc/0209084","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-09-23T19:51:20Z","cross_cats_sorted":[],"title_canon_sha256":"59ce71a1de129ca6db561f76735c007a34d01b77559a86f4c5413b8b9ecf92a2","abstract_canon_sha256":"fe16b9e1a08f70a7ff8d64b95b43ec3d6f4e2d822e9c1e408a9c32d83e9d5078"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:34.899137Z","signature_b64":"unLnN3sYrdt/xYLBb/hPb+2snbQ51Zixo8cbL4KTqYUrlDnV9XlR4aYvdlPxT/X3sJqFAJGLalDAaZqUSgG4Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fced10219bc561ff94c9d9bfcaac6701c94b804da83a498aae5001d913711bf3","last_reissued_at":"2026-05-18T04:35:34.898590Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:34.898590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Black hole singularities: a new critical phenomenon","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lior M. Burko","submitted_at":"2002-09-23T19:51:20Z","abstract_excerpt":"The singularitiy inside a spherical charged black hole, coupled to a spherical, massless scalar field is studied numerically. The profile of the characteristic scalar field was taken to be a power of advanced time with an exponent $\\alpha>0$. A critical exponent $\\alpha_{\\rm crit}$ exists. For exponents below the critical one ($\\alpha<\\alpha_{\\rm crit}$) the singularity is a union of spacelike and null sectors, as is also the case for data with compact support. For exponents greater than the critical one ($\\alpha>\\alpha_{\\rm crit}$) an all-encompassing, spacelike singularity evolves, which com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0209084","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0209084","created_at":"2026-05-18T04:35:34.898678+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0209084v3","created_at":"2026-05-18T04:35:34.898678+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0209084","created_at":"2026-05-18T04:35:34.898678+00:00"},{"alias_kind":"pith_short_12","alias_value":"7TWRAIM3YVQ7","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"7TWRAIM3YVQ77FGJ","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"7TWRAIM3","created_at":"2026-05-18T12:25:50.845339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7TWRAIM3YVQ77FGJ3G74VLDHAH","json":"https://pith.science/pith/7TWRAIM3YVQ77FGJ3G74VLDHAH.json","graph_json":"https://pith.science/api/pith-number/7TWRAIM3YVQ77FGJ3G74VLDHAH/graph.json","events_json":"https://pith.science/api/pith-number/7TWRAIM3YVQ77FGJ3G74VLDHAH/events.json","paper":"https://pith.science/paper/7TWRAIM3"},"agent_actions":{"view_html":"https://pith.science/pith/7TWRAIM3YVQ77FGJ3G74VLDHAH","download_json":"https://pith.science/pith/7TWRAIM3YVQ77FGJ3G74VLDHAH.json","view_paper":"https://pith.science/paper/7TWRAIM3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0209084&json=true","fetch_graph":"https://pith.science/api/pith-number/7TWRAIM3YVQ77FGJ3G74VLDHAH/graph.json","fetch_events":"https://pith.science/api/pith-number/7TWRAIM3YVQ77FGJ3G74VLDHAH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7TWRAIM3YVQ77FGJ3G74VLDHAH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7TWRAIM3YVQ77FGJ3G74VLDHAH/action/storage_attestation","attest_author":"https://pith.science/pith/7TWRAIM3YVQ77FGJ3G74VLDHAH/action/author_attestation","sign_citation":"https://pith.science/pith/7TWRAIM3YVQ77FGJ3G74VLDHAH/action/citation_signature","submit_replication":"https://pith.science/pith/7TWRAIM3YVQ77FGJ3G74VLDHAH/action/replication_record"}},"created_at":"2026-05-18T04:35:34.898678+00:00","updated_at":"2026-05-18T04:35:34.898678+00:00"}