{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:E753O4BSRD6T7HSOSMGIVHUP6Y","short_pith_number":"pith:E753O4BS","canonical_record":{"source":{"id":"2303.02553","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-03-05T02:33:22Z","cross_cats_sorted":[],"title_canon_sha256":"a08a74cea561dab4c1c32c3a645971d4c4563cca78f39d2f98fb6985e0d50677","abstract_canon_sha256":"2703592ff422c3c9de266fab72801853d96bfd41513dfe190c25287a94dee283"},"schema_version":"1.0"},"canonical_sha256":"27fbb7703288fd3f9e4e930c8a9e8ff622ad64ecc23621a3d644fb7345c2b155","source":{"kind":"arxiv","id":"2303.02553","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.02553","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"2303.02553v1","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.02553","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"E753O4BSRD6T","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"pith_short_16","alias_value":"E753O4BSRD6T7HSO","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"pith_short_8","alias_value":"E753O4BS","created_at":"2026-07-05T05:48:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:E753O4BSRD6T7HSOSMGIVHUP6Y","target":"record","payload":{"canonical_record":{"source":{"id":"2303.02553","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-03-05T02:33:22Z","cross_cats_sorted":[],"title_canon_sha256":"a08a74cea561dab4c1c32c3a645971d4c4563cca78f39d2f98fb6985e0d50677","abstract_canon_sha256":"2703592ff422c3c9de266fab72801853d96bfd41513dfe190c25287a94dee283"},"schema_version":"1.0"},"canonical_sha256":"27fbb7703288fd3f9e4e930c8a9e8ff622ad64ecc23621a3d644fb7345c2b155","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:48:12.761064Z","signature_b64":"9CmiG8+kB9P6iRkogsOfG6lDDXFop8FszFMbbm5k/6ug3qNjkVN6lkYydLo1dZ+2ZIfYaLjtK3miLQS37NsdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27fbb7703288fd3f9e4e930c8a9e8ff622ad64ecc23621a3d644fb7345c2b155","last_reissued_at":"2026-07-05T05:48:12.760631Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:48:12.760631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.02553","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":"2026-07-05T05:48:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZLFFKNmh13g/soZZYEUNcuO8L3EbyPRqtyieNJ3qXpJO5Sl8Vc0okH/ngJoqBt4JHBWOd1ARWAKtw2YQM0AlCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T17:12:26.863400Z"},"content_sha256":"b8f6ffe22095ccad34e2d8280693e6cd5d4c3a90e45877e64621ab3341c1c7d5","schema_version":"1.0","event_id":"sha256:b8f6ffe22095ccad34e2d8280693e6cd5d4c3a90e45877e64621ab3341c1c7d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:E753O4BSRD6T7HSOSMGIVHUP6Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unextendible product bases from orthogonality graphs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fei Shi, Ge Bai, Giulio Chiribella, Qi Zhao, Xiande Zhang","submitted_at":"2023-03-05T02:33:22Z","abstract_excerpt":"Unextendible product bases (UPBs) play a key role in the study of quantum entanglement and nonlocality. A famous open question is whether there exist genuinely unextendible product bases (GUPBs), namely multipartite product bases that are unextendible with respect to every possible bipartition. Here we shed light on this question by providing a characterization of UPBs and GUPBs in terms of orthogonality graphs. Building on this connection, we develop a method for constructing UPBs in low dimensions, and we derive a lower bound on the size of any GUPB, significantly improving over the state of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.02553","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/2303.02553/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":"2026-07-05T05:48:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DvntJ9JMvyAjZgyo51K40gSZT0t7LtFpdRaoiQf1mgYxfgjWi6y6+2kaZn+KHxJc+ykxiA6iDMog6ev9owiLCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T17:12:26.863898Z"},"content_sha256":"87d7b549042c5f6724e4cd510d3e4406a4f2e022fef59e0aa7e0e3a7572aaf94","schema_version":"1.0","event_id":"sha256:87d7b549042c5f6724e4cd510d3e4406a4f2e022fef59e0aa7e0e3a7572aaf94"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E753O4BSRD6T7HSOSMGIVHUP6Y/bundle.json","state_url":"https://pith.science/pith/E753O4BSRD6T7HSOSMGIVHUP6Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E753O4BSRD6T7HSOSMGIVHUP6Y/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":"2026-08-06T17:12:26Z","links":{"resolver":"https://pith.science/pith/E753O4BSRD6T7HSOSMGIVHUP6Y","bundle":"https://pith.science/pith/E753O4BSRD6T7HSOSMGIVHUP6Y/bundle.json","state":"https://pith.science/pith/E753O4BSRD6T7HSOSMGIVHUP6Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E753O4BSRD6T7HSOSMGIVHUP6Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:E753O4BSRD6T7HSOSMGIVHUP6Y","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":"2703592ff422c3c9de266fab72801853d96bfd41513dfe190c25287a94dee283","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-03-05T02:33:22Z","title_canon_sha256":"a08a74cea561dab4c1c32c3a645971d4c4563cca78f39d2f98fb6985e0d50677"},"schema_version":"1.0","source":{"id":"2303.02553","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.02553","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"2303.02553v1","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.02553","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"E753O4BSRD6T","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"pith_short_16","alias_value":"E753O4BSRD6T7HSO","created_at":"2026-07-05T05:48:12Z"},{"alias_kind":"pith_short_8","alias_value":"E753O4BS","created_at":"2026-07-05T05:48:12Z"}],"graph_snapshots":[{"event_id":"sha256:87d7b549042c5f6724e4cd510d3e4406a4f2e022fef59e0aa7e0e3a7572aaf94","target":"graph","created_at":"2026-07-05T05:48:12Z","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/2303.02553/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Unextendible product bases (UPBs) play a key role in the study of quantum entanglement and nonlocality. A famous open question is whether there exist genuinely unextendible product bases (GUPBs), namely multipartite product bases that are unextendible with respect to every possible bipartition. Here we shed light on this question by providing a characterization of UPBs and GUPBs in terms of orthogonality graphs. Building on this connection, we develop a method for constructing UPBs in low dimensions, and we derive a lower bound on the size of any GUPB, significantly improving over the state of","authors_text":"Fei Shi, Ge Bai, Giulio Chiribella, Qi Zhao, Xiande Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-03-05T02:33:22Z","title":"Unextendible product bases from orthogonality graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.02553","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:b8f6ffe22095ccad34e2d8280693e6cd5d4c3a90e45877e64621ab3341c1c7d5","target":"record","created_at":"2026-07-05T05:48:12Z","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":"2703592ff422c3c9de266fab72801853d96bfd41513dfe190c25287a94dee283","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-03-05T02:33:22Z","title_canon_sha256":"a08a74cea561dab4c1c32c3a645971d4c4563cca78f39d2f98fb6985e0d50677"},"schema_version":"1.0","source":{"id":"2303.02553","kind":"arxiv","version":1}},"canonical_sha256":"27fbb7703288fd3f9e4e930c8a9e8ff622ad64ecc23621a3d644fb7345c2b155","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27fbb7703288fd3f9e4e930c8a9e8ff622ad64ecc23621a3d644fb7345c2b155","first_computed_at":"2026-07-05T05:48:12.760631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:48:12.760631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9CmiG8+kB9P6iRkogsOfG6lDDXFop8FszFMbbm5k/6ug3qNjkVN6lkYydLo1dZ+2ZIfYaLjtK3miLQS37NsdAg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:48:12.761064Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.02553","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8f6ffe22095ccad34e2d8280693e6cd5d4c3a90e45877e64621ab3341c1c7d5","sha256:87d7b549042c5f6724e4cd510d3e4406a4f2e022fef59e0aa7e0e3a7572aaf94"],"state_sha256":"cadd6d3b3c129452c8a24cef7451a60a901ecca9c76de6ba1d8c3293741666c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R5yG2TWGh3zzTqm78bOceh+C63ELp4d2ECmQpsNmIa3ImWt2NM/gBaFmu5e8EiidsZO9t36pVL0JpMycDubHBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T17:12:26.867630Z","bundle_sha256":"0f6573283b7bd66cd344499e0ebc49f5b6dc139499f7744fc150c238a46284c7"}}