{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:JCOADJ45QFLFGQ5IXG2O2DMSXO","short_pith_number":"pith:JCOADJ45","schema_version":"1.0","canonical_sha256":"489c01a79d81565343a8b9b4ed0d92bb954eb051cd0ef96537e0b58a38a216fd","source":{"kind":"arxiv","id":"1608.06092","version":2},"attestation_state":"computed","paper":{"title":"A Toy Penrose Inequality and its Proof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Emma Jakobsson, Ingemar Bengtsson","submitted_at":"2016-08-22T09:04:43Z","abstract_excerpt":"We formulate and prove a toy version of the Penrose inequality. The formulation mimics the original Penrose inequality in which the scenario is the following: A shell of null dust collapses in Minkowski space and a marginally trapped surface forms on it. Through a series of arguments relying on established assumptions, an inequality relating the area of this surface to the total energy of the shell is formulated. Then a further reformulation turns the inequality into a statement relating the area and the outer null expansion of a class of surfaces in Minkowski space itself. The inequality has "},"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":"1608.06092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-08-22T09:04:43Z","cross_cats_sorted":[],"title_canon_sha256":"13dd996ad53e9d7fd2f315b22981df7f11247eb62870846938020f465cc0cc99","abstract_canon_sha256":"cb59ee41e145de784a381f7d90f248dae874345116b8181128b8d1c722f98c1c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:57.445905Z","signature_b64":"slqff0wK48q1Z3t6si7ZMR7irOKZkMLNDOuF5S+MUHuKBJ16OZTZqdeMXJmENlmJZHNx9+xyaAg0NNnFzzQbAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"489c01a79d81565343a8b9b4ed0d92bb954eb051cd0ef96537e0b58a38a216fd","last_reissued_at":"2026-05-18T00:59:57.445392Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:57.445392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Toy Penrose Inequality and its Proof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Emma Jakobsson, Ingemar Bengtsson","submitted_at":"2016-08-22T09:04:43Z","abstract_excerpt":"We formulate and prove a toy version of the Penrose inequality. The formulation mimics the original Penrose inequality in which the scenario is the following: A shell of null dust collapses in Minkowski space and a marginally trapped surface forms on it. Through a series of arguments relying on established assumptions, an inequality relating the area of this surface to the total energy of the shell is formulated. Then a further reformulation turns the inequality into a statement relating the area and the outer null expansion of a class of surfaces in Minkowski space itself. The inequality has "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06092","kind":"arxiv","version":2},"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":"1608.06092","created_at":"2026-05-18T00:59:57.445457+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.06092v2","created_at":"2026-05-18T00:59:57.445457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06092","created_at":"2026-05-18T00:59:57.445457+00:00"},{"alias_kind":"pith_short_12","alias_value":"JCOADJ45QFLF","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"JCOADJ45QFLFGQ5I","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"JCOADJ45","created_at":"2026-05-18T12:30:25.849896+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/JCOADJ45QFLFGQ5IXG2O2DMSXO","json":"https://pith.science/pith/JCOADJ45QFLFGQ5IXG2O2DMSXO.json","graph_json":"https://pith.science/api/pith-number/JCOADJ45QFLFGQ5IXG2O2DMSXO/graph.json","events_json":"https://pith.science/api/pith-number/JCOADJ45QFLFGQ5IXG2O2DMSXO/events.json","paper":"https://pith.science/paper/JCOADJ45"},"agent_actions":{"view_html":"https://pith.science/pith/JCOADJ45QFLFGQ5IXG2O2DMSXO","download_json":"https://pith.science/pith/JCOADJ45QFLFGQ5IXG2O2DMSXO.json","view_paper":"https://pith.science/paper/JCOADJ45","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.06092&json=true","fetch_graph":"https://pith.science/api/pith-number/JCOADJ45QFLFGQ5IXG2O2DMSXO/graph.json","fetch_events":"https://pith.science/api/pith-number/JCOADJ45QFLFGQ5IXG2O2DMSXO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JCOADJ45QFLFGQ5IXG2O2DMSXO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JCOADJ45QFLFGQ5IXG2O2DMSXO/action/storage_attestation","attest_author":"https://pith.science/pith/JCOADJ45QFLFGQ5IXG2O2DMSXO/action/author_attestation","sign_citation":"https://pith.science/pith/JCOADJ45QFLFGQ5IXG2O2DMSXO/action/citation_signature","submit_replication":"https://pith.science/pith/JCOADJ45QFLFGQ5IXG2O2DMSXO/action/replication_record"}},"created_at":"2026-05-18T00:59:57.445457+00:00","updated_at":"2026-05-18T00:59:57.445457+00:00"}