{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:YXP4N2VCEFP5JFSYR2Z4RI5DZY","short_pith_number":"pith:YXP4N2VC","schema_version":"1.0","canonical_sha256":"c5dfc6eaa2215fd496588eb3c8a3a3ce3d5161a24bd9268307d3b1cbb06dcbfe","source":{"kind":"arxiv","id":"gr-qc/9607034","version":1},"attestation_state":"computed","paper":{"title":"Black Hole--Scalar Field Interactions in Spherical Symmetry","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Matthew W. Choptuik, Robert L. Marsa","submitted_at":"1996-07-15T15:52:51Z","abstract_excerpt":"We examine the interactions of a black hole with a massless scalar field using a coordinate system which extends ingoing Eddington-Finkelstein coordinates to dynamic spherically symmetric-spacetimes. We avoid problems with the singularity by excising the region of the black hole interior to the apparent horizon. We use a second-order finite difference scheme to solve the equations. The resulting program is stable and convergent and will run forever without problems. We are able to observe quasi-normal ringing and power-law tails as well an interesting nonlinear feature."},"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/9607034","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-07-15T15:52:51Z","cross_cats_sorted":[],"title_canon_sha256":"bac2c9e7d957e9c2bacfdce44b254da29c756fed1b66cd3b7cf81f046d6b1475","abstract_canon_sha256":"a3b1a6305702d637f4f43b83a03a7ddd8d31f87ee563d5d0679dd6934ad3bb13"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:34.122571Z","signature_b64":"OHCpMHvKjkZsDjpazT+Ee82KkJh1bAf9X1IeJaAi6rint/vSmGL5/+NIOs2gL10q5omWARW+HGM77H9G4MuhDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5dfc6eaa2215fd496588eb3c8a3a3ce3d5161a24bd9268307d3b1cbb06dcbfe","last_reissued_at":"2026-05-18T04:35:34.121995Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:34.121995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Black Hole--Scalar Field Interactions in Spherical Symmetry","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Matthew W. Choptuik, Robert L. Marsa","submitted_at":"1996-07-15T15:52:51Z","abstract_excerpt":"We examine the interactions of a black hole with a massless scalar field using a coordinate system which extends ingoing Eddington-Finkelstein coordinates to dynamic spherically symmetric-spacetimes. We avoid problems with the singularity by excising the region of the black hole interior to the apparent horizon. We use a second-order finite difference scheme to solve the equations. The resulting program is stable and convergent and will run forever without problems. We are able to observe quasi-normal ringing and power-law tails as well an interesting nonlinear feature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9607034","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9607034","created_at":"2026-05-18T04:35:34.122061+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9607034v1","created_at":"2026-05-18T04:35:34.122061+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9607034","created_at":"2026-05-18T04:35:34.122061+00:00"},{"alias_kind":"pith_short_12","alias_value":"YXP4N2VCEFP5","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"YXP4N2VCEFP5JFSY","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"YXP4N2VC","created_at":"2026-05-18T12:25:48.327863+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/YXP4N2VCEFP5JFSYR2Z4RI5DZY","json":"https://pith.science/pith/YXP4N2VCEFP5JFSYR2Z4RI5DZY.json","graph_json":"https://pith.science/api/pith-number/YXP4N2VCEFP5JFSYR2Z4RI5DZY/graph.json","events_json":"https://pith.science/api/pith-number/YXP4N2VCEFP5JFSYR2Z4RI5DZY/events.json","paper":"https://pith.science/paper/YXP4N2VC"},"agent_actions":{"view_html":"https://pith.science/pith/YXP4N2VCEFP5JFSYR2Z4RI5DZY","download_json":"https://pith.science/pith/YXP4N2VCEFP5JFSYR2Z4RI5DZY.json","view_paper":"https://pith.science/paper/YXP4N2VC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9607034&json=true","fetch_graph":"https://pith.science/api/pith-number/YXP4N2VCEFP5JFSYR2Z4RI5DZY/graph.json","fetch_events":"https://pith.science/api/pith-number/YXP4N2VCEFP5JFSYR2Z4RI5DZY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YXP4N2VCEFP5JFSYR2Z4RI5DZY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YXP4N2VCEFP5JFSYR2Z4RI5DZY/action/storage_attestation","attest_author":"https://pith.science/pith/YXP4N2VCEFP5JFSYR2Z4RI5DZY/action/author_attestation","sign_citation":"https://pith.science/pith/YXP4N2VCEFP5JFSYR2Z4RI5DZY/action/citation_signature","submit_replication":"https://pith.science/pith/YXP4N2VCEFP5JFSYR2Z4RI5DZY/action/replication_record"}},"created_at":"2026-05-18T04:35:34.122061+00:00","updated_at":"2026-05-18T04:35:34.122061+00:00"}