{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:4B7VRTHC6OMFJCXKL7CBCMLARP","short_pith_number":"pith:4B7VRTHC","canonical_record":{"source":{"id":"2103.16357","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-03-30T13:55:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c293098f958192dc30780a9aa5b34f2e05401079b1439a19499e1ce12bb9ff63","abstract_canon_sha256":"9b543da1eb9ca15191ba9c8da4bb47cbee7f722857d8f3fd1a0e94f00ac313a9"},"schema_version":"1.0"},"canonical_sha256":"e07f58cce2f398548aea5fc41131608bd330f8030dabdd7901d5e8ae6bad141d","source":{"kind":"arxiv","id":"2103.16357","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.16357","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"2103.16357v3","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.16357","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"4B7VRTHC6OMF","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"4B7VRTHC6OMFJCXK","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"4B7VRTHC","created_at":"2026-07-05T04:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:4B7VRTHC6OMFJCXKL7CBCMLARP","target":"record","payload":{"canonical_record":{"source":{"id":"2103.16357","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-03-30T13:55:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c293098f958192dc30780a9aa5b34f2e05401079b1439a19499e1ce12bb9ff63","abstract_canon_sha256":"9b543da1eb9ca15191ba9c8da4bb47cbee7f722857d8f3fd1a0e94f00ac313a9"},"schema_version":"1.0"},"canonical_sha256":"e07f58cce2f398548aea5fc41131608bd330f8030dabdd7901d5e8ae6bad141d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:33:18.841183Z","signature_b64":"bBOGVQixgQrseaT0NLfb572ZrJb2MwznSWL1Y1eL40qBOKngfnCucH8jsr0RDPARQPshUlxnwSg9qHc5TxvSAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e07f58cce2f398548aea5fc41131608bd330f8030dabdd7901d5e8ae6bad141d","last_reissued_at":"2026-07-05T04:33:18.840665Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:33:18.840665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.16357","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x/0CbzQa5iqKSNf9l0tcsMHk74nYV5NDoosbQCqi/XvL1lwX5IhdS/RisHdHwR8XmNWpk01Oz7B0o8wCaDErDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T12:58:47.217639Z"},"content_sha256":"1cfe8f7c17656015ddced882cd3e1d3581117173b1ec6d238709b30270d31c5b","schema_version":"1.0","event_id":"sha256:1cfe8f7c17656015ddced882cd3e1d3581117173b1ec6d238709b30270d31c5b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:4B7VRTHC6OMFJCXKL7CBCMLARP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry of Banach spaces: a new route towards Position Based Cryptography","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Aleksander M. Kubicki, Carlos Palazuelos, David P\\'erez-Garc\\'ia, Marius Junge","submitted_at":"2021-03-30T13:55:11Z","abstract_excerpt":"In this work we initiate the study of Position Based Quantum Cryptography (PBQC) from the perspective of geometric functional analysis and its connections with quantum games. The main question we are interested in asks for the optimal amount of entanglement that a coalition of attackers have to share in order to compromise the security of any PBQC protocol. Known upper bounds for that quantity are exponential in the size of the quantum systems manipulated in the honest implementation of the protocol. However, known lower bounds are only linear.\n  In order to deepen the understanding of this qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.16357","kind":"arxiv","version":3},"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/2103.16357/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":"2026-07-05T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VuXThdtYTYly2JcPwfFlG+C4nmTcN0KcRJLTYshnUAFfqDihJiZpNmfL2gmNfDkoXIWwwSIlcEV5GwJWOrVBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T12:58:47.218025Z"},"content_sha256":"0fce863c013d0b45e6cc65dc7cfeecd55cb6edf7874e23399a3844bca0a59c8e","schema_version":"1.0","event_id":"sha256:0fce863c013d0b45e6cc65dc7cfeecd55cb6edf7874e23399a3844bca0a59c8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4B7VRTHC6OMFJCXKL7CBCMLARP/bundle.json","state_url":"https://pith.science/pith/4B7VRTHC6OMFJCXKL7CBCMLARP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4B7VRTHC6OMFJCXKL7CBCMLARP/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":"2026-07-16T12:58:47Z","links":{"resolver":"https://pith.science/pith/4B7VRTHC6OMFJCXKL7CBCMLARP","bundle":"https://pith.science/pith/4B7VRTHC6OMFJCXKL7CBCMLARP/bundle.json","state":"https://pith.science/pith/4B7VRTHC6OMFJCXKL7CBCMLARP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4B7VRTHC6OMFJCXKL7CBCMLARP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:4B7VRTHC6OMFJCXKL7CBCMLARP","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":"9b543da1eb9ca15191ba9c8da4bb47cbee7f722857d8f3fd1a0e94f00ac313a9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-03-30T13:55:11Z","title_canon_sha256":"c293098f958192dc30780a9aa5b34f2e05401079b1439a19499e1ce12bb9ff63"},"schema_version":"1.0","source":{"id":"2103.16357","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.16357","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"2103.16357v3","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.16357","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"4B7VRTHC6OMF","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"4B7VRTHC6OMFJCXK","created_at":"2026-07-05T04:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"4B7VRTHC","created_at":"2026-07-05T04:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:0fce863c013d0b45e6cc65dc7cfeecd55cb6edf7874e23399a3844bca0a59c8e","target":"graph","created_at":"2026-07-05T04:33:18Z","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/2103.16357/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we initiate the study of Position Based Quantum Cryptography (PBQC) from the perspective of geometric functional analysis and its connections with quantum games. The main question we are interested in asks for the optimal amount of entanglement that a coalition of attackers have to share in order to compromise the security of any PBQC protocol. Known upper bounds for that quantity are exponential in the size of the quantum systems manipulated in the honest implementation of the protocol. However, known lower bounds are only linear.\n  In order to deepen the understanding of this qu","authors_text":"Aleksander M. Kubicki, Carlos Palazuelos, David P\\'erez-Garc\\'ia, Marius Junge","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-03-30T13:55:11Z","title":"Geometry of Banach spaces: a new route towards Position Based Cryptography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.16357","kind":"arxiv","version":3},"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":"sha256:1cfe8f7c17656015ddced882cd3e1d3581117173b1ec6d238709b30270d31c5b","target":"record","created_at":"2026-07-05T04:33:18Z","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":"9b543da1eb9ca15191ba9c8da4bb47cbee7f722857d8f3fd1a0e94f00ac313a9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-03-30T13:55:11Z","title_canon_sha256":"c293098f958192dc30780a9aa5b34f2e05401079b1439a19499e1ce12bb9ff63"},"schema_version":"1.0","source":{"id":"2103.16357","kind":"arxiv","version":3}},"canonical_sha256":"e07f58cce2f398548aea5fc41131608bd330f8030dabdd7901d5e8ae6bad141d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e07f58cce2f398548aea5fc41131608bd330f8030dabdd7901d5e8ae6bad141d","first_computed_at":"2026-07-05T04:33:18.840665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:33:18.840665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bBOGVQixgQrseaT0NLfb572ZrJb2MwznSWL1Y1eL40qBOKngfnCucH8jsr0RDPARQPshUlxnwSg9qHc5TxvSAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:33:18.841183Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.16357","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1cfe8f7c17656015ddced882cd3e1d3581117173b1ec6d238709b30270d31c5b","sha256:0fce863c013d0b45e6cc65dc7cfeecd55cb6edf7874e23399a3844bca0a59c8e"],"state_sha256":"b9702708b490eea9e425a9793cb8372521c4b352c5cc160cfaa2b2ec42fccd24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RjGIgCJ7sTZGvVQ8mJ69YMTlBK60UOkv2gJIGUH1sSq/eXCNWd+JaS2EQQhuM5DYXXi+L1GYnHFSUz4/mGdcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-16T12:58:47.220326Z","bundle_sha256":"b62dada5b51f4f6b4dc49562c05d6dbc6db2872c73805451c7213ce6690ba65e"}}