{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7ZSILPW3DVMZSGYDWJYNUCB2MQ","short_pith_number":"pith:7ZSILPW3","canonical_record":{"source":{"id":"2411.00935","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-01T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"ad3ab39fb0bf381dc4b9043b5c7a25dffe466de121f3b2eb854050ca5e6262e6","abstract_canon_sha256":"7689e6ea2b535813e3cba3a0ce776de3686a614751d75761f7cdc6af5e4fd2b2"},"schema_version":"1.0"},"canonical_sha256":"fe6485bedb1d59991b03b270da083a641fe4573840dde6d62c02368ea15a1005","source":{"kind":"arxiv","id":"2411.00935","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.00935","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"arxiv_version","alias_value":"2411.00935v2","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.00935","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"pith_short_12","alias_value":"7ZSILPW3DVMZ","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"pith_short_16","alias_value":"7ZSILPW3DVMZSGYD","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"pith_short_8","alias_value":"7ZSILPW3","created_at":"2026-07-05T11:12:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7ZSILPW3DVMZSGYDWJYNUCB2MQ","target":"record","payload":{"canonical_record":{"source":{"id":"2411.00935","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-01T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"ad3ab39fb0bf381dc4b9043b5c7a25dffe466de121f3b2eb854050ca5e6262e6","abstract_canon_sha256":"7689e6ea2b535813e3cba3a0ce776de3686a614751d75761f7cdc6af5e4fd2b2"},"schema_version":"1.0"},"canonical_sha256":"fe6485bedb1d59991b03b270da083a641fe4573840dde6d62c02368ea15a1005","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:12:21.851500Z","signature_b64":"i94HKtLGQS1QRoLfegJ6CDVKVw60276CbhDLr0aieSJISANz1T1gYxgl9tRTNJRzsxF8I9XKE7Zo79Xt+I4OCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe6485bedb1d59991b03b270da083a641fe4573840dde6d62c02368ea15a1005","last_reissued_at":"2026-07-05T11:12:21.851013Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:12:21.851013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.00935","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":"2026-07-05T11:12:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F66uLfhi/EJeF9CEXWu2uFiyFBjvsdWXI8nB3J9oxgvj7EPhDbi8OHBTZvfwp5ww88mLwAMkWGqyKMStzSgnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T00:47:58.538980Z"},"content_sha256":"61d4cc028fc0b1c5edbe60dc12b5b827cb2fe68e7387b5cf9a90a9034d07d92a","schema_version":"1.0","event_id":"sha256:61d4cc028fc0b1c5edbe60dc12b5b827cb2fe68e7387b5cf9a90a9034d07d92a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7ZSILPW3DVMZSGYDWJYNUCB2MQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-invariants and Bulk Replica Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Abhijit Gadde, Jonathan Harper, Vineeth Krishna","submitted_at":"2024-11-01T18:00:00Z","abstract_excerpt":"In this paper, we analyze the question of replica symmetry in the bulk for multi-partite entanglement measures in the vacuum state of two dimensional holographic CFTs. We first define a class of multi-partite local unitary invariants, multi-invariants, with a given replica symmetry that acts freely and transitively on the replicas. We look for a subclass of measures such that the dual bulk geometry also preserves replica symmetry. We obtain the most general solution to this problem if we require the bulk to preserve replica symmetry for general configurations of the regions. Orbifolding the bu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.00935","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/2411.00935/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":"2026-07-05T11:12:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SIslFQ4B22065qJh1EXefkVEJjqGF3j3FQa18A1Ah4JB7vGkvJdqQoOcUeEFDUnA1+/dFqcvLh+TOg/PSpNYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T00:47:58.539404Z"},"content_sha256":"0d5bade8fae7137f549f4a164c5cc768752ed84584fa0f5120422c63e7d3af0c","schema_version":"1.0","event_id":"sha256:0d5bade8fae7137f549f4a164c5cc768752ed84584fa0f5120422c63e7d3af0c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7ZSILPW3DVMZSGYDWJYNUCB2MQ/bundle.json","state_url":"https://pith.science/pith/7ZSILPW3DVMZSGYDWJYNUCB2MQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7ZSILPW3DVMZSGYDWJYNUCB2MQ/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":"2026-08-22T00:47:58Z","links":{"resolver":"https://pith.science/pith/7ZSILPW3DVMZSGYDWJYNUCB2MQ","bundle":"https://pith.science/pith/7ZSILPW3DVMZSGYDWJYNUCB2MQ/bundle.json","state":"https://pith.science/pith/7ZSILPW3DVMZSGYDWJYNUCB2MQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7ZSILPW3DVMZSGYDWJYNUCB2MQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7ZSILPW3DVMZSGYDWJYNUCB2MQ","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":"7689e6ea2b535813e3cba3a0ce776de3686a614751d75761f7cdc6af5e4fd2b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-01T18:00:00Z","title_canon_sha256":"ad3ab39fb0bf381dc4b9043b5c7a25dffe466de121f3b2eb854050ca5e6262e6"},"schema_version":"1.0","source":{"id":"2411.00935","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.00935","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"arxiv_version","alias_value":"2411.00935v2","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.00935","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"pith_short_12","alias_value":"7ZSILPW3DVMZ","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"pith_short_16","alias_value":"7ZSILPW3DVMZSGYD","created_at":"2026-07-05T11:12:21Z"},{"alias_kind":"pith_short_8","alias_value":"7ZSILPW3","created_at":"2026-07-05T11:12:21Z"}],"graph_snapshots":[{"event_id":"sha256:0d5bade8fae7137f549f4a164c5cc768752ed84584fa0f5120422c63e7d3af0c","target":"graph","created_at":"2026-07-05T11:12:21Z","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/2411.00935/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we analyze the question of replica symmetry in the bulk for multi-partite entanglement measures in the vacuum state of two dimensional holographic CFTs. We first define a class of multi-partite local unitary invariants, multi-invariants, with a given replica symmetry that acts freely and transitively on the replicas. We look for a subclass of measures such that the dual bulk geometry also preserves replica symmetry. We obtain the most general solution to this problem if we require the bulk to preserve replica symmetry for general configurations of the regions. Orbifolding the bu","authors_text":"Abhijit Gadde, Jonathan Harper, Vineeth Krishna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-01T18:00:00Z","title":"Multi-invariants and Bulk Replica Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.00935","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":"sha256:61d4cc028fc0b1c5edbe60dc12b5b827cb2fe68e7387b5cf9a90a9034d07d92a","target":"record","created_at":"2026-07-05T11:12:21Z","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":"7689e6ea2b535813e3cba3a0ce776de3686a614751d75761f7cdc6af5e4fd2b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-01T18:00:00Z","title_canon_sha256":"ad3ab39fb0bf381dc4b9043b5c7a25dffe466de121f3b2eb854050ca5e6262e6"},"schema_version":"1.0","source":{"id":"2411.00935","kind":"arxiv","version":2}},"canonical_sha256":"fe6485bedb1d59991b03b270da083a641fe4573840dde6d62c02368ea15a1005","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe6485bedb1d59991b03b270da083a641fe4573840dde6d62c02368ea15a1005","first_computed_at":"2026-07-05T11:12:21.851013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:12:21.851013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i94HKtLGQS1QRoLfegJ6CDVKVw60276CbhDLr0aieSJISANz1T1gYxgl9tRTNJRzsxF8I9XKE7Zo79Xt+I4OCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:12:21.851500Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.00935","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61d4cc028fc0b1c5edbe60dc12b5b827cb2fe68e7387b5cf9a90a9034d07d92a","sha256:0d5bade8fae7137f549f4a164c5cc768752ed84584fa0f5120422c63e7d3af0c"],"state_sha256":"13d1ea8c0d13958fe373fc3297e8e9d7abc5e2d141e12610077322084fb90951"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mKwkV0AQ3Ho4bGgViWMyWG278nEBoU8Jc/8xrR2POTq267A2P0KLt+cflAivLmcNX2++Yqy+ViMEAOnErMyzBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T00:47:58.543910Z","bundle_sha256":"2b881ce22ec4911fd9af550f3851b18a86d14dbb9b05ab2687453b2eaa0884c7"}}