{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4U675V5JHWBMZ3SJIESSATMVBL","short_pith_number":"pith:4U675V5J","canonical_record":{"source":{"id":"1405.3971","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-15T19:52:00Z","cross_cats_sorted":[],"title_canon_sha256":"c74f43cd6013cb53ab7c37c0a251eb17578cd4bf9984cca848ef5ca47bc0797e","abstract_canon_sha256":"ce124440cad9c4ae956940440de009354c292d9c293bdd48b2ac9017378e60e6"},"schema_version":"1.0"},"canonical_sha256":"e53dfed7a93d82ccee494125204d950af8dc6b510957e354c39e236e89082220","source":{"kind":"arxiv","id":"1405.3971","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3971","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3971v1","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3971","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"pith_short_12","alias_value":"4U675V5JHWBM","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4U675V5JHWBMZ3SJ","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4U675V5J","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4U675V5JHWBMZ3SJIESSATMVBL","target":"record","payload":{"canonical_record":{"source":{"id":"1405.3971","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-15T19:52:00Z","cross_cats_sorted":[],"title_canon_sha256":"c74f43cd6013cb53ab7c37c0a251eb17578cd4bf9984cca848ef5ca47bc0797e","abstract_canon_sha256":"ce124440cad9c4ae956940440de009354c292d9c293bdd48b2ac9017378e60e6"},"schema_version":"1.0"},"canonical_sha256":"e53dfed7a93d82ccee494125204d950af8dc6b510957e354c39e236e89082220","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:17.366892Z","signature_b64":"qhzntZmLGKGvr+HiJa8Bsorm4M/jIZSJNuS1jMlMriC52ih/E0RXa/jLlpx/QR0zD5+yAShBzELNqvuj7IZ+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e53dfed7a93d82ccee494125204d950af8dc6b510957e354c39e236e89082220","last_reissued_at":"2026-05-18T02:44:17.366420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:17.366420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.3971","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":"2026-05-18T02:44:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fMviGGzQ8LsyAkxN57HWKSoOgpigOStVavn/e7kjiSZVnc0IeLRUu1EucH0hkwRqjpKkqD19x+6K+tHTTShCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:08:32.274374Z"},"content_sha256":"6169dce5c50ff538316089107d4b2a7c1038ebe3d6917efff9e80f0b6928a02a","schema_version":"1.0","event_id":"sha256:6169dce5c50ff538316089107d4b2a7c1038ebe3d6917efff9e80f0b6928a02a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4U675V5JHWBMZ3SJIESSATMVBL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Properties of dimension witnesses and their semi-definite programming relaxations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hong-Wei Li, Marcin Paw{\\l}owski, Piotr Mironowicz","submitted_at":"2014-05-15T19:52:00Z","abstract_excerpt":"In this paper we develop a method for investigating semi-device-independent randomness expansion protocols that was introduced in [Li et al., Phys. Rev. A $\\mathbf{87}$, 020302(R) (2013)]. This method allows to lower-bound, with semi-definite programming, the randomness obtained from random number generators based on dimension witnesses. We also investigate the robustness of some randomness expanders using this method. We show the role of an assumption about the trace of the measurement operators and a way to avoid it. The method is also generalized to systems of arbitrary dimension, and for a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3971","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":""},"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":"2026-05-18T02:44:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YHfyyeZCUg33vW3BV4zueRKqfFcHk9S5ZslVcJoYmNAkH9ir1D/bwajWtIt2edvvutdmDj2UQs6fEv6Xk4PPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:08:32.274722Z"},"content_sha256":"a67c9f598e9fc3aa5fdaa98250d5c68b297802f467a04bbd5d95c3a12872ba95","schema_version":"1.0","event_id":"sha256:a67c9f598e9fc3aa5fdaa98250d5c68b297802f467a04bbd5d95c3a12872ba95"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4U675V5JHWBMZ3SJIESSATMVBL/bundle.json","state_url":"https://pith.science/pith/4U675V5JHWBMZ3SJIESSATMVBL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4U675V5JHWBMZ3SJIESSATMVBL/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":"2026-06-12T06:08:32Z","links":{"resolver":"https://pith.science/pith/4U675V5JHWBMZ3SJIESSATMVBL","bundle":"https://pith.science/pith/4U675V5JHWBMZ3SJIESSATMVBL/bundle.json","state":"https://pith.science/pith/4U675V5JHWBMZ3SJIESSATMVBL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4U675V5JHWBMZ3SJIESSATMVBL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4U675V5JHWBMZ3SJIESSATMVBL","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":"ce124440cad9c4ae956940440de009354c292d9c293bdd48b2ac9017378e60e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-15T19:52:00Z","title_canon_sha256":"c74f43cd6013cb53ab7c37c0a251eb17578cd4bf9984cca848ef5ca47bc0797e"},"schema_version":"1.0","source":{"id":"1405.3971","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3971","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3971v1","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3971","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"pith_short_12","alias_value":"4U675V5JHWBM","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4U675V5JHWBMZ3SJ","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4U675V5J","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:a67c9f598e9fc3aa5fdaa98250d5c68b297802f467a04bbd5d95c3a12872ba95","target":"graph","created_at":"2026-05-18T02:44:17Z","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"},"paper":{"abstract_excerpt":"In this paper we develop a method for investigating semi-device-independent randomness expansion protocols that was introduced in [Li et al., Phys. Rev. A $\\mathbf{87}$, 020302(R) (2013)]. This method allows to lower-bound, with semi-definite programming, the randomness obtained from random number generators based on dimension witnesses. We also investigate the robustness of some randomness expanders using this method. We show the role of an assumption about the trace of the measurement operators and a way to avoid it. The method is also generalized to systems of arbitrary dimension, and for a","authors_text":"Hong-Wei Li, Marcin Paw{\\l}owski, Piotr Mironowicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-15T19:52:00Z","title":"Properties of dimension witnesses and their semi-definite programming relaxations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3971","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":"sha256:6169dce5c50ff538316089107d4b2a7c1038ebe3d6917efff9e80f0b6928a02a","target":"record","created_at":"2026-05-18T02:44:17Z","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":"ce124440cad9c4ae956940440de009354c292d9c293bdd48b2ac9017378e60e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-15T19:52:00Z","title_canon_sha256":"c74f43cd6013cb53ab7c37c0a251eb17578cd4bf9984cca848ef5ca47bc0797e"},"schema_version":"1.0","source":{"id":"1405.3971","kind":"arxiv","version":1}},"canonical_sha256":"e53dfed7a93d82ccee494125204d950af8dc6b510957e354c39e236e89082220","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e53dfed7a93d82ccee494125204d950af8dc6b510957e354c39e236e89082220","first_computed_at":"2026-05-18T02:44:17.366420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:17.366420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qhzntZmLGKGvr+HiJa8Bsorm4M/jIZSJNuS1jMlMriC52ih/E0RXa/jLlpx/QR0zD5+yAShBzELNqvuj7IZ+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:17.366892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.3971","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6169dce5c50ff538316089107d4b2a7c1038ebe3d6917efff9e80f0b6928a02a","sha256:a67c9f598e9fc3aa5fdaa98250d5c68b297802f467a04bbd5d95c3a12872ba95"],"state_sha256":"77039f99826274178cfb8bc4f5e8958d68beb3d9dc34a9faca0dd9caa65e1ed1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+T8+tfjvToO6gxPYjWkkR3R4oYaamL742jPIWXMN3suJJUJ7tea5WoSilCd6yN74px7SaHk6u1Bwzn7ky1zNCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T06:08:32.276771Z","bundle_sha256":"f587331a6cd376f502ae654adc6f564bf7368b249e55c09ade3b75d434931063"}}