{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:UNWFD7VDHRQCPS2QNQFH2JBSJV","short_pith_number":"pith:UNWFD7VD","canonical_record":{"source":{"id":"0802.0760","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2008-02-06T09:47:31Z","cross_cats_sorted":[],"title_canon_sha256":"af3db312488bd2287f419b74e79d152ea2a6eb62f1b3943f8e87cae97d84629c","abstract_canon_sha256":"28497f714b13cd12f5023209cdbf112e92e4ea3a91e2841f98dd728d77e7f8f5"},"schema_version":"1.0"},"canonical_sha256":"a36c51fea33c6027cb506c0a7d24324d47f2a5450dc0119ecac0af9668658b19","source":{"kind":"arxiv","id":"0802.0760","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.0760","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"arxiv_version","alias_value":"0802.0760v2","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.0760","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"pith_short_12","alias_value":"UNWFD7VDHRQC","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"pith_short_16","alias_value":"UNWFD7VDHRQCPS2Q","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"pith_short_8","alias_value":"UNWFD7VD","created_at":"2026-07-04T15:11:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:UNWFD7VDHRQCPS2QNQFH2JBSJV","target":"record","payload":{"canonical_record":{"source":{"id":"0802.0760","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2008-02-06T09:47:31Z","cross_cats_sorted":[],"title_canon_sha256":"af3db312488bd2287f419b74e79d152ea2a6eb62f1b3943f8e87cae97d84629c","abstract_canon_sha256":"28497f714b13cd12f5023209cdbf112e92e4ea3a91e2841f98dd728d77e7f8f5"},"schema_version":"1.0"},"canonical_sha256":"a36c51fea33c6027cb506c0a7d24324d47f2a5450dc0119ecac0af9668658b19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:11:55.249308Z","signature_b64":"j4Fuqhi3TAlyG/VIo4jydxi26WkLFSSdEas4sVo0dxBYTUa91piYBA3A7g0cOexVZP44JG6XKTZJlBhRUSorAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a36c51fea33c6027cb506c0a7d24324d47f2a5450dc0119ecac0af9668658b19","last_reissued_at":"2026-07-04T15:11:55.248885Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:11:55.248885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0802.0760","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":"2026-07-04T15:11:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q7YbNMRNEgi0bSQQlvJz6H6wEUo3jnr8eOyGJ7JLow8+jq0QXoEOTa8rmmIu9RzTq9MDDz4eT136blNx556MDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T04:44:37.922761Z"},"content_sha256":"718eee66f1166fe718a148203100a8622be0c0cf65338eac4e2ccdb8e2dc371f","schema_version":"1.0","event_id":"sha256:718eee66f1166fe718a148203100a8622be0c0cf65338eac4e2ccdb8e2dc371f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:UNWFD7VDHRQCPS2QNQFH2JBSJV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing the Hilbert space dimension","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andre Allan Methot, Antonio Acin, Nicolas Brunner, Nicolas Gisin, Stefano Pironio, Valerio Scarani","submitted_at":"2008-02-06T09:47:31Z","abstract_excerpt":"Given a set of correlations originating from measurements on a quantum state of unknown Hilbert space dimension, what is the minimal dimension d necessary to describes such correlations? We introduce the concept of dimension witness to put lower bounds on d. This work represents a first step in a broader research program aiming to characterize Hilbert space dimension in various contexts related to fundamental questions and Quantum Information applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.0760","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/0802.0760/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":"2026-07-04T15:11:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QiZlmQolXx1xCJv7nyCouJTC0LIg8uzXFVTrpuA6clASISi7rRMfmokujpt55M8R2HzUdM5hmKw0IDvNGLzfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T04:44:37.923586Z"},"content_sha256":"47c1aee1130998b4db9998ab6ad3f6f18c3910a7ae462c9e84f897433abaccae","schema_version":"1.0","event_id":"sha256:47c1aee1130998b4db9998ab6ad3f6f18c3910a7ae462c9e84f897433abaccae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UNWFD7VDHRQCPS2QNQFH2JBSJV/bundle.json","state_url":"https://pith.science/pith/UNWFD7VDHRQCPS2QNQFH2JBSJV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UNWFD7VDHRQCPS2QNQFH2JBSJV/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":"2026-08-07T04:44:37Z","links":{"resolver":"https://pith.science/pith/UNWFD7VDHRQCPS2QNQFH2JBSJV","bundle":"https://pith.science/pith/UNWFD7VDHRQCPS2QNQFH2JBSJV/bundle.json","state":"https://pith.science/pith/UNWFD7VDHRQCPS2QNQFH2JBSJV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UNWFD7VDHRQCPS2QNQFH2JBSJV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:UNWFD7VDHRQCPS2QNQFH2JBSJV","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":"28497f714b13cd12f5023209cdbf112e92e4ea3a91e2841f98dd728d77e7f8f5","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2008-02-06T09:47:31Z","title_canon_sha256":"af3db312488bd2287f419b74e79d152ea2a6eb62f1b3943f8e87cae97d84629c"},"schema_version":"1.0","source":{"id":"0802.0760","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.0760","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"arxiv_version","alias_value":"0802.0760v2","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.0760","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"pith_short_12","alias_value":"UNWFD7VDHRQC","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"pith_short_16","alias_value":"UNWFD7VDHRQCPS2Q","created_at":"2026-07-04T15:11:55Z"},{"alias_kind":"pith_short_8","alias_value":"UNWFD7VD","created_at":"2026-07-04T15:11:55Z"}],"graph_snapshots":[{"event_id":"sha256:47c1aee1130998b4db9998ab6ad3f6f18c3910a7ae462c9e84f897433abaccae","target":"graph","created_at":"2026-07-04T15:11:55Z","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/0802.0760/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a set of correlations originating from measurements on a quantum state of unknown Hilbert space dimension, what is the minimal dimension d necessary to describes such correlations? We introduce the concept of dimension witness to put lower bounds on d. This work represents a first step in a broader research program aiming to characterize Hilbert space dimension in various contexts related to fundamental questions and Quantum Information applications.","authors_text":"Andre Allan Methot, Antonio Acin, Nicolas Brunner, Nicolas Gisin, Stefano Pironio, Valerio Scarani","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2008-02-06T09:47:31Z","title":"Testing the Hilbert space dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.0760","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":"sha256:718eee66f1166fe718a148203100a8622be0c0cf65338eac4e2ccdb8e2dc371f","target":"record","created_at":"2026-07-04T15:11:55Z","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":"28497f714b13cd12f5023209cdbf112e92e4ea3a91e2841f98dd728d77e7f8f5","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2008-02-06T09:47:31Z","title_canon_sha256":"af3db312488bd2287f419b74e79d152ea2a6eb62f1b3943f8e87cae97d84629c"},"schema_version":"1.0","source":{"id":"0802.0760","kind":"arxiv","version":2}},"canonical_sha256":"a36c51fea33c6027cb506c0a7d24324d47f2a5450dc0119ecac0af9668658b19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a36c51fea33c6027cb506c0a7d24324d47f2a5450dc0119ecac0af9668658b19","first_computed_at":"2026-07-04T15:11:55.248885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:11:55.248885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j4Fuqhi3TAlyG/VIo4jydxi26WkLFSSdEas4sVo0dxBYTUa91piYBA3A7g0cOexVZP44JG6XKTZJlBhRUSorAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:11:55.249308Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.0760","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:718eee66f1166fe718a148203100a8622be0c0cf65338eac4e2ccdb8e2dc371f","sha256:47c1aee1130998b4db9998ab6ad3f6f18c3910a7ae462c9e84f897433abaccae"],"state_sha256":"f06ffb99ba214fede30f3dda475847636e17b38472411b217f11e3aa9edf1e45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iqFr1mrFhPdiwMUUWmc4ILXVFOWNxkGj3H3FhfPOBItkK+ZSPzkeDXyq4gjuVgvrrj9rEQN1ESStQUNeo948Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T04:44:37.931520Z","bundle_sha256":"909b304ee907ff1b94778cb1ec705dd51baa48a6d8a3c71be5eea460c8329321"}}