{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:7F5DCHI3ZKOD2NCCQ3LD7NJ5XL","short_pith_number":"pith:7F5DCHI3","schema_version":"1.0","canonical_sha256":"f97a311d1bca9c3d344286d63fb53dbad3abae5d82a5d9b9267ab7d49c27ed1e","source":{"kind":"arxiv","id":"2206.07001","version":3},"attestation_state":"computed","paper":{"title":"Quantum Singularities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Arvin Shahbazi-Moghaddam, Raphael Bousso","submitted_at":"2022-06-14T17:15:39Z","abstract_excerpt":"Two spatial regions $B$ and $R$ are hyperentangled if the generalized entropy satisfies $S_{\\text{gen}}^{B\\cup R}<S_{\\text{gen}}^R$. If in addition all future (or all past) directed inward null shape deformations of $B$ decrease $S_{\\text{gen}}^{B\\cup R}$, then we show that the causal development of $B$, with $R$ held fixed, must be incomplete. This result eliminates the Null Energy Condition from the assumptions of a recently proven singularity theorem. Instead, we assume a quantum version of the Bousso bound. Taking $R$ to contain the Hawking radiation after the Page time, our theorem predic"},"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":"2206.07001","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-06-14T17:15:39Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e10826b1a1a6b061349e71c5743908665bad8b7d8398ff92511912b2bd9505c8","abstract_canon_sha256":"de3459e26c91963215a49f1d53bb6d91e8bc1d914a577c3d625bd629ea4e0f4e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:55:57.636841Z","signature_b64":"kq2mxKhj16I+coY5ar4CCYP2+5RKoXZSbnncEOPB9kNg9CeEL/nWZOCN/WDwxBCfnoahy8BsWoKGg1o8zt4RAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f97a311d1bca9c3d344286d63fb53dbad3abae5d82a5d9b9267ab7d49c27ed1e","last_reissued_at":"2026-07-05T05:55:57.636395Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:55:57.636395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Singularities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Arvin Shahbazi-Moghaddam, Raphael Bousso","submitted_at":"2022-06-14T17:15:39Z","abstract_excerpt":"Two spatial regions $B$ and $R$ are hyperentangled if the generalized entropy satisfies $S_{\\text{gen}}^{B\\cup R}<S_{\\text{gen}}^R$. If in addition all future (or all past) directed inward null shape deformations of $B$ decrease $S_{\\text{gen}}^{B\\cup R}$, then we show that the causal development of $B$, with $R$ held fixed, must be incomplete. This result eliminates the Null Energy Condition from the assumptions of a recently proven singularity theorem. Instead, we assume a quantum version of the Bousso bound. Taking $R$ to contain the Hawking radiation after the Page time, our theorem predic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.07001","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.07001/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2206.07001","created_at":"2026-07-05T05:55:57.636461+00:00"},{"alias_kind":"arxiv_version","alias_value":"2206.07001v3","created_at":"2026-07-05T05:55:57.636461+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.07001","created_at":"2026-07-05T05:55:57.636461+00:00"},{"alias_kind":"pith_short_12","alias_value":"7F5DCHI3ZKOD","created_at":"2026-07-05T05:55:57.636461+00:00"},{"alias_kind":"pith_short_16","alias_value":"7F5DCHI3ZKOD2NCC","created_at":"2026-07-05T05:55:57.636461+00:00"},{"alias_kind":"pith_short_8","alias_value":"7F5DCHI3","created_at":"2026-07-05T05:55:57.636461+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.03584","citing_title":"Unveiling horizons in quantum critical collapse","ref_index":98,"is_internal_anchor":false},{"citing_arxiv_id":"2509.03584","citing_title":"Unveiling horizons in quantum critical collapse","ref_index":98,"is_internal_anchor":false},{"citing_arxiv_id":"2510.26247","citing_title":"Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory","ref_index":40,"is_internal_anchor":false},{"citing_arxiv_id":"2604.27054","citing_title":"A Timelike Quantum Focusing Conjecture","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05326","citing_title":"A Quantum Singularity Theorem for the Evaporating Black Hole","ref_index":30,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL","json":"https://pith.science/pith/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL.json","graph_json":"https://pith.science/api/pith-number/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL/graph.json","events_json":"https://pith.science/api/pith-number/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL/events.json","paper":"https://pith.science/paper/7F5DCHI3"},"agent_actions":{"view_html":"https://pith.science/pith/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL","download_json":"https://pith.science/pith/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL.json","view_paper":"https://pith.science/paper/7F5DCHI3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2206.07001&json=true","fetch_graph":"https://pith.science/api/pith-number/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL/graph.json","fetch_events":"https://pith.science/api/pith-number/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL/action/storage_attestation","attest_author":"https://pith.science/pith/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL/action/author_attestation","sign_citation":"https://pith.science/pith/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL/action/citation_signature","submit_replication":"https://pith.science/pith/7F5DCHI3ZKOD2NCCQ3LD7NJ5XL/action/replication_record"}},"created_at":"2026-07-05T05:55:57.636461+00:00","updated_at":"2026-07-05T05:55:57.636461+00:00"}