{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:EEULUCQL57WAGE7Y3JVJRSUJPT","short_pith_number":"pith:EEULUCQL","schema_version":"1.0","canonical_sha256":"2128ba0a0befec0313f8da6a98ca897cfa463f5dc0ce5709bfadc24162287304","source":{"kind":"arxiv","id":"0912.4067","version":1},"attestation_state":"computed","paper":{"title":"The dynamics of apparent horizons in Robinson-Trautman spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E. L. Rodrigues, H. P. de Oliveira, I. Dami\\~ao Soares","submitted_at":"2009-12-21T02:00:16Z","abstract_excerpt":"We present an alternative scheme of finding apparent horizons based on spectral methods applied to Robinson-Trautman spacetimes. We have considered distinct initial data such as representing the spheroids of matter and the head-on collision of two non-rotating black holes. The evolution of the apparent horizon is presented. We have obtained in some cases a mass gap between the final Bondi and apparent horizon masses, whose implications were briefly commented in the light of the thermodynamics of black holes."},"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":"0912.4067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-12-21T02:00:16Z","cross_cats_sorted":[],"title_canon_sha256":"9cf217e7037c7c6158242400db1173176f19ed6cc94096a570dace58a3af1d57","abstract_canon_sha256":"7661e198af15ed09891fd8aed82db1414dd5c1898e2b3a91a391782c3dd13122"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:15.167125Z","signature_b64":"fxtog/1ciyRjbswKXd4/iVN78mQf/KVk69H/t3W5wzvIt/j2M4QJUtRnlOBDa6OHcwlBNb6UdB3YftyqdpXMAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2128ba0a0befec0313f8da6a98ca897cfa463f5dc0ce5709bfadc24162287304","last_reissued_at":"2026-05-18T02:10:15.166524Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:15.166524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The dynamics of apparent horizons in Robinson-Trautman spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E. L. Rodrigues, H. P. de Oliveira, I. Dami\\~ao Soares","submitted_at":"2009-12-21T02:00:16Z","abstract_excerpt":"We present an alternative scheme of finding apparent horizons based on spectral methods applied to Robinson-Trautman spacetimes. We have considered distinct initial data such as representing the spheroids of matter and the head-on collision of two non-rotating black holes. The evolution of the apparent horizon is presented. We have obtained in some cases a mass gap between the final Bondi and apparent horizon masses, whose implications were briefly commented in the light of the thermodynamics of black holes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.4067","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":"0912.4067","created_at":"2026-05-18T02:10:15.166610+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.4067v1","created_at":"2026-05-18T02:10:15.166610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.4067","created_at":"2026-05-18T02:10:15.166610+00:00"},{"alias_kind":"pith_short_12","alias_value":"EEULUCQL57WA","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"EEULUCQL57WAGE7Y","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"EEULUCQL","created_at":"2026-05-18T12:25:59.703012+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/EEULUCQL57WAGE7Y3JVJRSUJPT","json":"https://pith.science/pith/EEULUCQL57WAGE7Y3JVJRSUJPT.json","graph_json":"https://pith.science/api/pith-number/EEULUCQL57WAGE7Y3JVJRSUJPT/graph.json","events_json":"https://pith.science/api/pith-number/EEULUCQL57WAGE7Y3JVJRSUJPT/events.json","paper":"https://pith.science/paper/EEULUCQL"},"agent_actions":{"view_html":"https://pith.science/pith/EEULUCQL57WAGE7Y3JVJRSUJPT","download_json":"https://pith.science/pith/EEULUCQL57WAGE7Y3JVJRSUJPT.json","view_paper":"https://pith.science/paper/EEULUCQL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.4067&json=true","fetch_graph":"https://pith.science/api/pith-number/EEULUCQL57WAGE7Y3JVJRSUJPT/graph.json","fetch_events":"https://pith.science/api/pith-number/EEULUCQL57WAGE7Y3JVJRSUJPT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EEULUCQL57WAGE7Y3JVJRSUJPT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EEULUCQL57WAGE7Y3JVJRSUJPT/action/storage_attestation","attest_author":"https://pith.science/pith/EEULUCQL57WAGE7Y3JVJRSUJPT/action/author_attestation","sign_citation":"https://pith.science/pith/EEULUCQL57WAGE7Y3JVJRSUJPT/action/citation_signature","submit_replication":"https://pith.science/pith/EEULUCQL57WAGE7Y3JVJRSUJPT/action/replication_record"}},"created_at":"2026-05-18T02:10:15.166610+00:00","updated_at":"2026-05-18T02:10:15.166610+00:00"}