{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:J2RUCR6E4QOXMZBL5OYKP5SHXL","short_pith_number":"pith:J2RUCR6E","canonical_record":{"source":{"id":"2309.15145","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-26T18:00:01Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"c8eb4fa32d97d2f4aa76c88873d72e9d273bd59bb81694d5376b59334820e989","abstract_canon_sha256":"fc4b216607813038f625e1821f72dec8ceb14d7797835358ddf441b8164c0fec"},"schema_version":"1.0"},"canonical_sha256":"4ea34147c4e41d76642bebb0a7f647bacc21feb25434731e366fab76c51074ae","source":{"kind":"arxiv","id":"2309.15145","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.15145","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"2309.15145v1","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.15145","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"J2RUCR6E4QOX","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"pith_short_16","alias_value":"J2RUCR6E4QOXMZBL","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"pith_short_8","alias_value":"J2RUCR6E","created_at":"2026-07-05T06:54:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:J2RUCR6E4QOXMZBL5OYKP5SHXL","target":"record","payload":{"canonical_record":{"source":{"id":"2309.15145","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-26T18:00:01Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"c8eb4fa32d97d2f4aa76c88873d72e9d273bd59bb81694d5376b59334820e989","abstract_canon_sha256":"fc4b216607813038f625e1821f72dec8ceb14d7797835358ddf441b8164c0fec"},"schema_version":"1.0"},"canonical_sha256":"4ea34147c4e41d76642bebb0a7f647bacc21feb25434731e366fab76c51074ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:54:41.820798Z","signature_b64":"mRHhzPXh/68se+QPlS0ONgN7XNA6deS/Fehr+mpzcsSMgPsL+FMSYZ9ikKuzFcBGIhK9L5GABOkolkhLMTkQBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ea34147c4e41d76642bebb0a7f647bacc21feb25434731e366fab76c51074ae","last_reissued_at":"2026-07-05T06:54:41.820320Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:54:41.820320Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.15145","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PTxMokbugty2Oee2WPaoO9dJnqr2OhGndSakRjbTw2KZfB3uVQTiBBkC6hm0SNequ7bZa/2yvCDgtLTwDf2fBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T07:27:14.498529Z"},"content_sha256":"1069dbbbfbac46ba7fae4094101c51e6de1e087af92aa45ac72b82fbd2141ec8","schema_version":"1.0","event_id":"sha256:1069dbbbfbac46ba7fae4094101c51e6de1e087af92aa45ac72b82fbd2141ec8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:J2RUCR6E4QOXMZBL5OYKP5SHXL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Bartlomiej Czech, Daiming Zhang, Sirui Shuai, Yixu Wang","submitted_at":"2023-09-26T18:00:01Z","abstract_excerpt":"We prove two new infinite families of holographic entropy inequalities. A key tool is a graphical arrangement of terms of inequalities, which is based on entanglement wedge nesting (EWN). It associates the inequalities with tessellations of the torus and the projective plane, which reflect a certain topological aspect of EWN. The inequalities prove a prior conjecture about the structure of the holographic entropy cone and show an interesting interplay with differential entropy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.15145","kind":"arxiv","version":1},"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/2309.15145/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":"2026-07-05T06:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"flGPr3jhOvCaARenMgZf4S+3nhbB/NB1CnUkwSJb23/WtpPvmif8eWW40jl96bFmns5YSJ/Ctp8UIVAd139iDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T07:27:14.499541Z"},"content_sha256":"d464b2b060912eeeae468042f85772bea41006772c5f63ed6ea3f25494361675","schema_version":"1.0","event_id":"sha256:d464b2b060912eeeae468042f85772bea41006772c5f63ed6ea3f25494361675"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J2RUCR6E4QOXMZBL5OYKP5SHXL/bundle.json","state_url":"https://pith.science/pith/J2RUCR6E4QOXMZBL5OYKP5SHXL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J2RUCR6E4QOXMZBL5OYKP5SHXL/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":"2026-08-10T07:27:14Z","links":{"resolver":"https://pith.science/pith/J2RUCR6E4QOXMZBL5OYKP5SHXL","bundle":"https://pith.science/pith/J2RUCR6E4QOXMZBL5OYKP5SHXL/bundle.json","state":"https://pith.science/pith/J2RUCR6E4QOXMZBL5OYKP5SHXL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J2RUCR6E4QOXMZBL5OYKP5SHXL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:J2RUCR6E4QOXMZBL5OYKP5SHXL","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":"fc4b216607813038f625e1821f72dec8ceb14d7797835358ddf441b8164c0fec","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-26T18:00:01Z","title_canon_sha256":"c8eb4fa32d97d2f4aa76c88873d72e9d273bd59bb81694d5376b59334820e989"},"schema_version":"1.0","source":{"id":"2309.15145","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.15145","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"2309.15145v1","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.15145","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"J2RUCR6E4QOX","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"pith_short_16","alias_value":"J2RUCR6E4QOXMZBL","created_at":"2026-07-05T06:54:41Z"},{"alias_kind":"pith_short_8","alias_value":"J2RUCR6E","created_at":"2026-07-05T06:54:41Z"}],"graph_snapshots":[{"event_id":"sha256:d464b2b060912eeeae468042f85772bea41006772c5f63ed6ea3f25494361675","target":"graph","created_at":"2026-07-05T06:54:41Z","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/2309.15145/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove two new infinite families of holographic entropy inequalities. A key tool is a graphical arrangement of terms of inequalities, which is based on entanglement wedge nesting (EWN). It associates the inequalities with tessellations of the torus and the projective plane, which reflect a certain topological aspect of EWN. The inequalities prove a prior conjecture about the structure of the holographic entropy cone and show an interesting interplay with differential entropy.","authors_text":"Bartlomiej Czech, Daiming Zhang, Sirui Shuai, Yixu Wang","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-26T18:00:01Z","title":"Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.15145","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":"sha256:1069dbbbfbac46ba7fae4094101c51e6de1e087af92aa45ac72b82fbd2141ec8","target":"record","created_at":"2026-07-05T06:54:41Z","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":"fc4b216607813038f625e1821f72dec8ceb14d7797835358ddf441b8164c0fec","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-09-26T18:00:01Z","title_canon_sha256":"c8eb4fa32d97d2f4aa76c88873d72e9d273bd59bb81694d5376b59334820e989"},"schema_version":"1.0","source":{"id":"2309.15145","kind":"arxiv","version":1}},"canonical_sha256":"4ea34147c4e41d76642bebb0a7f647bacc21feb25434731e366fab76c51074ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ea34147c4e41d76642bebb0a7f647bacc21feb25434731e366fab76c51074ae","first_computed_at":"2026-07-05T06:54:41.820320Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:54:41.820320Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mRHhzPXh/68se+QPlS0ONgN7XNA6deS/Fehr+mpzcsSMgPsL+FMSYZ9ikKuzFcBGIhK9L5GABOkolkhLMTkQBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:54:41.820798Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.15145","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1069dbbbfbac46ba7fae4094101c51e6de1e087af92aa45ac72b82fbd2141ec8","sha256:d464b2b060912eeeae468042f85772bea41006772c5f63ed6ea3f25494361675"],"state_sha256":"ccdb05d41ebece1531d83f15bd7d01e62d47c323caa722c55957d7f1c51620ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9AzEVu6DA9Yc25EHcMqKfCDqjm69CRMqhYWEJucOVMZF90IYHYbZ9yibHHO4ohB+xFLww6dkmp/qe+UHagLbAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T07:27:14.508029Z","bundle_sha256":"bc0f0afe767a39197c504acc88fa29a203fef74a7dd1cb12f858b37db434b6ed"}}