{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:RSTHGGPAUW5X2BAXY2AYXFA4IP","short_pith_number":"pith:RSTHGGPA","canonical_record":{"source":{"id":"2607.06870","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T00:01:53Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"665a1a8477712f9780a755d31f787844c1dfd956296fe5b884c386921bbb4aac","abstract_canon_sha256":"5061ff49768432885d6852038ed1b73126d27dc4e5315c71f2b070f645e1084e"},"schema_version":"1.0"},"canonical_sha256":"8ca67319e0a5bb7d0417c6818b941c43dc5306a0479080db2104d3c9563562d0","source":{"kind":"arxiv","id":"2607.06870","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.06870","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"arxiv_version","alias_value":"2607.06870v1","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.06870","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"pith_short_12","alias_value":"RSTHGGPAUW5X","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"pith_short_16","alias_value":"RSTHGGPAUW5X2BAX","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"pith_short_8","alias_value":"RSTHGGPA","created_at":"2026-07-09T00:19:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:RSTHGGPAUW5X2BAXY2AYXFA4IP","target":"record","payload":{"canonical_record":{"source":{"id":"2607.06870","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T00:01:53Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"665a1a8477712f9780a755d31f787844c1dfd956296fe5b884c386921bbb4aac","abstract_canon_sha256":"5061ff49768432885d6852038ed1b73126d27dc4e5315c71f2b070f645e1084e"},"schema_version":"1.0"},"canonical_sha256":"8ca67319e0a5bb7d0417c6818b941c43dc5306a0479080db2104d3c9563562d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-09T00:19:32.005107Z","signature_b64":"QHUZLDyg5EMb5jYMjBOZDtQ00rnE4KT/bpCHVpLV2SZd1DDpBwl+c5jf5NOWVWfLjUf7rZOib3u9S9Ndm+4fBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ca67319e0a5bb7d0417c6818b941c43dc5306a0479080db2104d3c9563562d0","last_reissued_at":"2026-07-09T00:19:32.004678Z","signature_status":"signed_v1","first_computed_at":"2026-07-09T00:19:32.004678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.06870","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":"2026-07-09T00:19:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S7U2cVRuL1KuT1+SgHwcQKxzpTCIx6xVmX/EG3AhD7gnvAaExcB0Vw9/K4Pgoas5SqjqB/czHyE9U6MHoReTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T09:05:36.540351Z"},"content_sha256":"b09ad5847f5cd3918ac44d0c553d92c9f570abfde4a98b73f0590b1f726f962f","schema_version":"1.0","event_id":"sha256:b09ad5847f5cd3918ac44d0c553d92c9f570abfde4a98b73f0590b1f726f962f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:RSTHGGPAUW5X2BAXY2AYXFA4IP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase transitions and uberholography of holographic pure-state geometries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Jacob March, Keiichiro Furuya, Ning Bao","submitted_at":"2026-07-08T00:01:53Z","abstract_excerpt":"We study the error-correcting properties of pure-state holographic geometries, in which mixed boundary subregions are replaced, via the surface/state correspondence, by the Ryu--Takayanagi (RT) geodesic bounding their entanglement wedges. In AdS$_3$/CFT$_2$ we derive a cross-ratio threshold relation $\\eta'/\\eta = e^{\\Delta H/2}$ for the connected/disconnected transition of the entanglement wedge when two holes are punched in such a geometry. The quantity $\\Delta H$ is sourced entirely by geodesics ending on RT boundaries. It shifts the standard two-interval threshold $\\eta = 1/2$, and we class"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.06870","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/2607.06870/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":"2026-07-09T00:19:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wygzc8TY+qM5tw4vRopEGfXh02KbZp51xMf8nYT1Mvrm4FKUAzHaxEzQDk/hzbv1INW7z/W98/kmqTtKLY1TAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T09:05:36.540735Z"},"content_sha256":"c2d41409c2e746e9c364f6c4580571e5d4e30207508487d72ee73f16de525d9e","schema_version":"1.0","event_id":"sha256:c2d41409c2e746e9c364f6c4580571e5d4e30207508487d72ee73f16de525d9e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSTHGGPAUW5X2BAXY2AYXFA4IP/bundle.json","state_url":"https://pith.science/pith/RSTHGGPAUW5X2BAXY2AYXFA4IP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSTHGGPAUW5X2BAXY2AYXFA4IP/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":"2026-07-11T09:05:36Z","links":{"resolver":"https://pith.science/pith/RSTHGGPAUW5X2BAXY2AYXFA4IP","bundle":"https://pith.science/pith/RSTHGGPAUW5X2BAXY2AYXFA4IP/bundle.json","state":"https://pith.science/pith/RSTHGGPAUW5X2BAXY2AYXFA4IP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSTHGGPAUW5X2BAXY2AYXFA4IP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RSTHGGPAUW5X2BAXY2AYXFA4IP","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":"5061ff49768432885d6852038ed1b73126d27dc4e5315c71f2b070f645e1084e","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T00:01:53Z","title_canon_sha256":"665a1a8477712f9780a755d31f787844c1dfd956296fe5b884c386921bbb4aac"},"schema_version":"1.0","source":{"id":"2607.06870","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.06870","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"arxiv_version","alias_value":"2607.06870v1","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.06870","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"pith_short_12","alias_value":"RSTHGGPAUW5X","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"pith_short_16","alias_value":"RSTHGGPAUW5X2BAX","created_at":"2026-07-09T00:19:32Z"},{"alias_kind":"pith_short_8","alias_value":"RSTHGGPA","created_at":"2026-07-09T00:19:32Z"}],"graph_snapshots":[{"event_id":"sha256:c2d41409c2e746e9c364f6c4580571e5d4e30207508487d72ee73f16de525d9e","target":"graph","created_at":"2026-07-09T00:19:32Z","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/2607.06870/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the error-correcting properties of pure-state holographic geometries, in which mixed boundary subregions are replaced, via the surface/state correspondence, by the Ryu--Takayanagi (RT) geodesic bounding their entanglement wedges. In AdS$_3$/CFT$_2$ we derive a cross-ratio threshold relation $\\eta'/\\eta = e^{\\Delta H/2}$ for the connected/disconnected transition of the entanglement wedge when two holes are punched in such a geometry. The quantity $\\Delta H$ is sourced entirely by geodesics ending on RT boundaries. It shifts the standard two-interval threshold $\\eta = 1/2$, and we class","authors_text":"Jacob March, Keiichiro Furuya, Ning Bao","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T00:01:53Z","title":"Phase transitions and uberholography of holographic pure-state geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.06870","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:b09ad5847f5cd3918ac44d0c553d92c9f570abfde4a98b73f0590b1f726f962f","target":"record","created_at":"2026-07-09T00:19:32Z","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":"5061ff49768432885d6852038ed1b73126d27dc4e5315c71f2b070f645e1084e","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T00:01:53Z","title_canon_sha256":"665a1a8477712f9780a755d31f787844c1dfd956296fe5b884c386921bbb4aac"},"schema_version":"1.0","source":{"id":"2607.06870","kind":"arxiv","version":1}},"canonical_sha256":"8ca67319e0a5bb7d0417c6818b941c43dc5306a0479080db2104d3c9563562d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ca67319e0a5bb7d0417c6818b941c43dc5306a0479080db2104d3c9563562d0","first_computed_at":"2026-07-09T00:19:32.004678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-09T00:19:32.004678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QHUZLDyg5EMb5jYMjBOZDtQ00rnE4KT/bpCHVpLV2SZd1DDpBwl+c5jf5NOWVWfLjUf7rZOib3u9S9Ndm+4fBw==","signature_status":"signed_v1","signed_at":"2026-07-09T00:19:32.005107Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.06870","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b09ad5847f5cd3918ac44d0c553d92c9f570abfde4a98b73f0590b1f726f962f","sha256:c2d41409c2e746e9c364f6c4580571e5d4e30207508487d72ee73f16de525d9e"],"state_sha256":"36f6ce8d04d399ff3bb37bf5ed66eb5ac05f3efc0280ee97708279213a4f29d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rvG9KbpaW1oi1k4ZoObdYqqiwldVzDBevpgB/9OV4IUBXD042WCVWR7Uy81DVEEQSuuEIQ/r9ILgTmHUTKanDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T09:05:36.542940Z","bundle_sha256":"d9f68ae24055ae346be5cfdbda764e5079a9e896b9bf17d53c488e264cc1e2ae"}}