{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:XIEHCNLGQGSWD6ZBHFA3JXVNTH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"77a99407b25a3d6e7e23871fa17c4fe3f22e902f80f3ebdc5af260c947352eed","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-24T18:00:00Z","title_canon_sha256":"47aa5ea66e626769e23cacff44f7df35baf23387855fd8867595a7deed41b6c5"},"schema_version":"1.0","source":{"id":"2210.13476","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.13476","created_at":"2026-07-05T05:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"2210.13476v1","created_at":"2026-07-05T05:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.13476","created_at":"2026-07-05T05:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"XIEHCNLGQGSW","created_at":"2026-07-05T05:53:03Z"},{"alias_kind":"pith_short_16","alias_value":"XIEHCNLGQGSWD6ZB","created_at":"2026-07-05T05:53:03Z"},{"alias_kind":"pith_short_8","alias_value":"XIEHCNLG","created_at":"2026-07-05T05:53:03Z"}],"graph_snapshots":[{"event_id":"sha256:4949c669edb6d68042972fa3f7c36f4a8c383d8b414f0424d553dcb89065dc3f","target":"graph","created_at":"2026-07-05T05:53:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.13476/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct and study an ensemble of non-isometric error correcting codes in a toy model of an evaporating black hole in two-dimensional dilaton gravity. In the preferred bases of Euclidean path integral states in the bulk and Hamiltonian eigenstates in the boundary, the encoding map is proportional to a linear transformation with independent complex Gaussian random entries of zero mean and unit variance. Using measure concentration, we show that the typical such code is very likely to preserve pairwise inner products in a set $S$ of states that can be subexponentially large in the microcanon","authors_text":"Arjun Kar","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-24T18:00:00Z","title":"Non-Isometric Quantum Error Correction in Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.13476","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4ccc1ac3a6cf31c96e67afe6fcf74539448c03d2da3d968f3a19ea4c9db7b7b7","target":"record","created_at":"2026-07-05T05:53:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"77a99407b25a3d6e7e23871fa17c4fe3f22e902f80f3ebdc5af260c947352eed","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-24T18:00:00Z","title_canon_sha256":"47aa5ea66e626769e23cacff44f7df35baf23387855fd8867595a7deed41b6c5"},"schema_version":"1.0","source":{"id":"2210.13476","kind":"arxiv","version":1}},"canonical_sha256":"ba0871356681a561fb213941b4dead99d645a68d528f29369f97d1196e0215d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba0871356681a561fb213941b4dead99d645a68d528f29369f97d1196e0215d5","first_computed_at":"2026-07-05T05:53:03.761436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:53:03.761436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P2qJVopBzGXLJMdoRySCCuT+HjhIZOeDzI2Fejn2fYp6js3Zc99VtJtpucGHj18Rv+kotZCd4VttJleV/MroCg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:53:03.761907Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.13476","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ccc1ac3a6cf31c96e67afe6fcf74539448c03d2da3d968f3a19ea4c9db7b7b7","sha256:4949c669edb6d68042972fa3f7c36f4a8c383d8b414f0424d553dcb89065dc3f"],"state_sha256":"125160d42083d240e55a7d38caeffd45c370155e9d9a4b05732d027020f1c0cb"}