{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:SGJ6SZLQEYQ4ZLI2MLL435UJ77","short_pith_number":"pith:SGJ6SZLQ","canonical_record":{"source":{"id":"2311.04281","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-07T19:00:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"a475ba64094b8a27bfeac61a98b9abbdf9892ab7ff32f414443a8c94077ccc6e","abstract_canon_sha256":"2297905aceb338b015ea3dfc87a78f3fe0b39526caf02f4cfd4cd9c681e9a4eb"},"schema_version":"1.0"},"canonical_sha256":"9193e965702621ccad1a62d7cdf689fff74162bcff94f2bc38b688ab30b16ebe","source":{"kind":"arxiv","id":"2311.04281","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.04281","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"2311.04281v2","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.04281","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"SGJ6SZLQEYQ4","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"SGJ6SZLQEYQ4ZLI2","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"SGJ6SZLQ","created_at":"2026-07-05T07:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:SGJ6SZLQEYQ4ZLI2MLL435UJ77","target":"record","payload":{"canonical_record":{"source":{"id":"2311.04281","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-07T19:00:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"a475ba64094b8a27bfeac61a98b9abbdf9892ab7ff32f414443a8c94077ccc6e","abstract_canon_sha256":"2297905aceb338b015ea3dfc87a78f3fe0b39526caf02f4cfd4cd9c681e9a4eb"},"schema_version":"1.0"},"canonical_sha256":"9193e965702621ccad1a62d7cdf689fff74162bcff94f2bc38b688ab30b16ebe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:25:47.561126Z","signature_b64":"naYalKBOfsXrsYoBgMyUKdj+dAwfVSV9Dp4fM6dFI+wzh3//UZZC01/N20lhDfi1iGSBWpbil7vHGGvrADZsCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9193e965702621ccad1a62d7cdf689fff74162bcff94f2bc38b688ab30b16ebe","last_reissued_at":"2026-07-05T07:25:47.560680Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:25:47.560680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.04281","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":"2026-07-05T07:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ioka9f7OC8I35tIv5IRK6XaAcd3gPFw19uN1I89H6O5iBs1SbyA+hzNRcO2IWR64N2S3TzIjTJsLqThdU6H3Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T21:00:40.295147Z"},"content_sha256":"cb7934865b69646f1c6029a3fb5f4c4ac68560a46321a28eace18a50af4ab4ef","schema_version":"1.0","event_id":"sha256:cb7934865b69646f1c6029a3fb5f4c4ac68560a46321a28eace18a50af4ab4ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:SGJ6SZLQEYQ4ZLI2MLL435UJ77","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic ER=EPR and Complexity Transfer","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Hong Liu, Netta Engelhardt","submitted_at":"2023-11-07T19:00:05Z","abstract_excerpt":"We propose an algebraic definition of ER=EPR in the $G_N \\to 0$ limit, which associates bulk spacetime connectivity/disconnectivity to the operator algebraic structure of a quantum gravity system. The new formulation not only includes information on the amount of entanglement, but also more importantly the structure of entanglement. We give an independent definition of a quantum wormhole as part of the proposal. This algebraic version of ER=EPR sheds light on a recent puzzle regarding spacetime disconnectivity in holographic systems with ${\\cal O}(1/G_{N})$ entanglement. We discuss the emergen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.04281","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/2311.04281/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":"2026-07-05T07:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mi5uugUXXj189dwikvdy8OKx1DB2v85h92KYUY7Trc9KpFUrOn7YRULw9J1p/73Kb9joqWFIfAQIP1qOdbLODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T21:00:40.295631Z"},"content_sha256":"6a4d9f77c6b7a58fa3b8c3c2e32e4766aea9ffd1552cee488f4108230d792e9c","schema_version":"1.0","event_id":"sha256:6a4d9f77c6b7a58fa3b8c3c2e32e4766aea9ffd1552cee488f4108230d792e9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGJ6SZLQEYQ4ZLI2MLL435UJ77/bundle.json","state_url":"https://pith.science/pith/SGJ6SZLQEYQ4ZLI2MLL435UJ77/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGJ6SZLQEYQ4ZLI2MLL435UJ77/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":"2026-08-08T21:00:40Z","links":{"resolver":"https://pith.science/pith/SGJ6SZLQEYQ4ZLI2MLL435UJ77","bundle":"https://pith.science/pith/SGJ6SZLQEYQ4ZLI2MLL435UJ77/bundle.json","state":"https://pith.science/pith/SGJ6SZLQEYQ4ZLI2MLL435UJ77/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGJ6SZLQEYQ4ZLI2MLL435UJ77/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SGJ6SZLQEYQ4ZLI2MLL435UJ77","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":"2297905aceb338b015ea3dfc87a78f3fe0b39526caf02f4cfd4cd9c681e9a4eb","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-07T19:00:05Z","title_canon_sha256":"a475ba64094b8a27bfeac61a98b9abbdf9892ab7ff32f414443a8c94077ccc6e"},"schema_version":"1.0","source":{"id":"2311.04281","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.04281","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"2311.04281v2","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.04281","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"SGJ6SZLQEYQ4","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"SGJ6SZLQEYQ4ZLI2","created_at":"2026-07-05T07:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"SGJ6SZLQ","created_at":"2026-07-05T07:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:6a4d9f77c6b7a58fa3b8c3c2e32e4766aea9ffd1552cee488f4108230d792e9c","target":"graph","created_at":"2026-07-05T07:25:47Z","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/2311.04281/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose an algebraic definition of ER=EPR in the $G_N \\to 0$ limit, which associates bulk spacetime connectivity/disconnectivity to the operator algebraic structure of a quantum gravity system. The new formulation not only includes information on the amount of entanglement, but also more importantly the structure of entanglement. We give an independent definition of a quantum wormhole as part of the proposal. This algebraic version of ER=EPR sheds light on a recent puzzle regarding spacetime disconnectivity in holographic systems with ${\\cal O}(1/G_{N})$ entanglement. We discuss the emergen","authors_text":"Hong Liu, Netta Engelhardt","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-07T19:00:05Z","title":"Algebraic ER=EPR and Complexity Transfer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.04281","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:cb7934865b69646f1c6029a3fb5f4c4ac68560a46321a28eace18a50af4ab4ef","target":"record","created_at":"2026-07-05T07:25:47Z","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":"2297905aceb338b015ea3dfc87a78f3fe0b39526caf02f4cfd4cd9c681e9a4eb","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-07T19:00:05Z","title_canon_sha256":"a475ba64094b8a27bfeac61a98b9abbdf9892ab7ff32f414443a8c94077ccc6e"},"schema_version":"1.0","source":{"id":"2311.04281","kind":"arxiv","version":2}},"canonical_sha256":"9193e965702621ccad1a62d7cdf689fff74162bcff94f2bc38b688ab30b16ebe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9193e965702621ccad1a62d7cdf689fff74162bcff94f2bc38b688ab30b16ebe","first_computed_at":"2026-07-05T07:25:47.560680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:25:47.560680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"naYalKBOfsXrsYoBgMyUKdj+dAwfVSV9Dp4fM6dFI+wzh3//UZZC01/N20lhDfi1iGSBWpbil7vHGGvrADZsCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:25:47.561126Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.04281","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb7934865b69646f1c6029a3fb5f4c4ac68560a46321a28eace18a50af4ab4ef","sha256:6a4d9f77c6b7a58fa3b8c3c2e32e4766aea9ffd1552cee488f4108230d792e9c"],"state_sha256":"d31a37ea6ef61f28b25a313a3d43bf9ffef5aa1b6ddac3d46c90ec3d51f62798"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SjHoM4sdQ36cvxeAhBgzx8b4bnSav2/wFcn0Q1NGCtWKuqC/O981hYXexqLn7O8h/+9zCT7h7nE2uTnVezdEAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T21:00:40.299293Z","bundle_sha256":"c74c35632b7c9c36b144f810ac866b8cc61c66406fd9adc1c59a3f075d2821ab"}}