{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:U4T6M4T7PTCGGCRVHF5LNMQUIU","short_pith_number":"pith:U4T6M4T7","canonical_record":{"source":{"id":"2603.13475","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-13T18:00:05Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"45afb80507650b2e4947fdad2ac74a90c6001cb09d860c68b786cae1cb2839e0","abstract_canon_sha256":"91be9bc2344bf514615d7971e12384b6265944efad91aba28cfc5cd542557cce"},"schema_version":"1.0"},"canonical_sha256":"a727e6727f7cc4630a35397ab6b214453c963e701d9a0a3340349e7c181b231b","source":{"kind":"arxiv","id":"2603.13475","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.13475","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"2603.13475v2","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.13475","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"U4T6M4T7PTCG","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"pith_short_16","alias_value":"U4T6M4T7PTCGGCRV","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"pith_short_8","alias_value":"U4T6M4T7","created_at":"2026-06-30T01:17:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:U4T6M4T7PTCGGCRVHF5LNMQUIU","target":"record","payload":{"canonical_record":{"source":{"id":"2603.13475","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-13T18:00:05Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"45afb80507650b2e4947fdad2ac74a90c6001cb09d860c68b786cae1cb2839e0","abstract_canon_sha256":"91be9bc2344bf514615d7971e12384b6265944efad91aba28cfc5cd542557cce"},"schema_version":"1.0"},"canonical_sha256":"a727e6727f7cc4630a35397ab6b214453c963e701d9a0a3340349e7c181b231b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T01:17:36.677143Z","signature_b64":"Jrp/598G423Vk4nZyGN3Ai41VMtT0D2cll5D56H06UZdzbW7PdFkTfs3+4bu8MNrLHuLvhHMB2b9b2vnO1HaCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a727e6727f7cc4630a35397ab6b214453c963e701d9a0a3340349e7c181b231b","last_reissued_at":"2026-06-30T01:17:36.676334Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T01:17:36.676334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.13475","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-30T01:17:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DHtf4hxYqggD7ltC4zvIJZ0dyrv8Slk0WsTispPtylSOWt2qhZ20JU/2aQXmopsA01l6gBfruRltI+wjXuDYCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:35:29.053567Z"},"content_sha256":"6502d8b467d1e6dd236bb8575cd4f518b681a1425e6bc1831d1db423a28bfec6","schema_version":"1.0","event_id":"sha256:6502d8b467d1e6dd236bb8575cd4f518b681a1425e6bc1831d1db423a28bfec6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:U4T6M4T7PTCGGCRVHF5LNMQUIU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"State-dependent geometries from magic-enriched quantum codes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Cathy Li, ChunJun Cao, Gong Cheng, John Preskill, Krishnanand Karthikeyan","submitted_at":"2026-03-13T18:00:05Z","abstract_excerpt":"Quantum error-correcting codes provide a powerful framework for emergent spacetime, yet existing holographic code models describe only quantum fields on a fixed background: in subsystem erasure-correcting codes, the entropic area term is state independent and cannot capture gravitational backreaction. We argue that this limitation is intrinsic to exact subsystem complementary recovery and that incorporating backreaction instead requires approximate quantum error correction. We introduce a Ryu-Takayanagi-like entropy decomposition for approximate subsystem erasure-correcting codes, defining bul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.13475","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.13475/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-30T01:17:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mvp/6BYzpshCYzzrxxepF9TCLNmH0CBvuh/yxsq8gxcO6Hc3U5yHGy6IbyC/rIjm/4w98KrTjZiqWPbmfD1CBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:35:29.053945Z"},"content_sha256":"335d96d4053e59376e4f46ecbbb27e3b7a098ae1af6f571f8a38467b475b5e02","schema_version":"1.0","event_id":"sha256:335d96d4053e59376e4f46ecbbb27e3b7a098ae1af6f571f8a38467b475b5e02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4T6M4T7PTCGGCRVHF5LNMQUIU/bundle.json","state_url":"https://pith.science/pith/U4T6M4T7PTCGGCRVHF5LNMQUIU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4T6M4T7PTCGGCRVHF5LNMQUIU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-04T07:35:29Z","links":{"resolver":"https://pith.science/pith/U4T6M4T7PTCGGCRVHF5LNMQUIU","bundle":"https://pith.science/pith/U4T6M4T7PTCGGCRVHF5LNMQUIU/bundle.json","state":"https://pith.science/pith/U4T6M4T7PTCGGCRVHF5LNMQUIU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4T6M4T7PTCGGCRVHF5LNMQUIU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:U4T6M4T7PTCGGCRVHF5LNMQUIU","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":"91be9bc2344bf514615d7971e12384b6265944efad91aba28cfc5cd542557cce","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-13T18:00:05Z","title_canon_sha256":"45afb80507650b2e4947fdad2ac74a90c6001cb09d860c68b786cae1cb2839e0"},"schema_version":"1.0","source":{"id":"2603.13475","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.13475","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"2603.13475v2","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.13475","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"U4T6M4T7PTCG","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"pith_short_16","alias_value":"U4T6M4T7PTCGGCRV","created_at":"2026-06-30T01:17:36Z"},{"alias_kind":"pith_short_8","alias_value":"U4T6M4T7","created_at":"2026-06-30T01:17:36Z"}],"graph_snapshots":[{"event_id":"sha256:335d96d4053e59376e4f46ecbbb27e3b7a098ae1af6f571f8a38467b475b5e02","target":"graph","created_at":"2026-06-30T01:17:36Z","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/2603.13475/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum error-correcting codes provide a powerful framework for emergent spacetime, yet existing holographic code models describe only quantum fields on a fixed background: in subsystem erasure-correcting codes, the entropic area term is state independent and cannot capture gravitational backreaction. We argue that this limitation is intrinsic to exact subsystem complementary recovery and that incorporating backreaction instead requires approximate quantum error correction. We introduce a Ryu-Takayanagi-like entropy decomposition for approximate subsystem erasure-correcting codes, defining bul","authors_text":"Cathy Li, ChunJun Cao, Gong Cheng, John Preskill, Krishnanand Karthikeyan","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-13T18:00:05Z","title":"State-dependent geometries from magic-enriched quantum codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.13475","kind":"arxiv","version":2},"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":"sha256:6502d8b467d1e6dd236bb8575cd4f518b681a1425e6bc1831d1db423a28bfec6","target":"record","created_at":"2026-06-30T01:17:36Z","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":"91be9bc2344bf514615d7971e12384b6265944efad91aba28cfc5cd542557cce","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-13T18:00:05Z","title_canon_sha256":"45afb80507650b2e4947fdad2ac74a90c6001cb09d860c68b786cae1cb2839e0"},"schema_version":"1.0","source":{"id":"2603.13475","kind":"arxiv","version":2}},"canonical_sha256":"a727e6727f7cc4630a35397ab6b214453c963e701d9a0a3340349e7c181b231b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a727e6727f7cc4630a35397ab6b214453c963e701d9a0a3340349e7c181b231b","first_computed_at":"2026-06-30T01:17:36.676334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:17:36.676334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jrp/598G423Vk4nZyGN3Ai41VMtT0D2cll5D56H06UZdzbW7PdFkTfs3+4bu8MNrLHuLvhHMB2b9b2vnO1HaCw==","signature_status":"signed_v1","signed_at":"2026-06-30T01:17:36.677143Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.13475","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6502d8b467d1e6dd236bb8575cd4f518b681a1425e6bc1831d1db423a28bfec6","sha256:335d96d4053e59376e4f46ecbbb27e3b7a098ae1af6f571f8a38467b475b5e02"],"state_sha256":"b3d40396f6e26fd8c12fc2a314b7ed785d24946386fd05d130e0ede623441e39"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jjmb+dsgNKOOYp0NrANIzH+qjvqyWiWipbw69Yg49/duubJgmvUhd88s4o6bhAtQ+Um4IPaQcvhPKfiO+0kNCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T07:35:29.056244Z","bundle_sha256":"95c5ff3f4f6c6e0a574b7ffdae1d51338db2c7a480049ada5ae24238d25c11a4"}}