{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DVMXODZSIZ5Z6AP247AC4VUFAE","short_pith_number":"pith:DVMXODZS","canonical_record":{"source":{"id":"1704.06612","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-04-21T16:02:45Z","cross_cats_sorted":[],"title_canon_sha256":"d1f4fbef7960035ec208b048dacf5e721a2ab5bb93f89dca6a6e97bacc8e33f3","abstract_canon_sha256":"3bc97236b0f0c226d1712bdfc939bab74f1620dc03cbc3749584e68aeb52b3f1"},"schema_version":"1.0"},"canonical_sha256":"1d59770f32467b9f01fae7c02e568501374956049940090cc4d53cb36608e934","source":{"kind":"arxiv","id":"1704.06612","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06612","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06612v3","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06612","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"pith_short_12","alias_value":"DVMXODZSIZ5Z","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DVMXODZSIZ5Z6AP2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DVMXODZS","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DVMXODZSIZ5Z6AP247AC4VUFAE","target":"record","payload":{"canonical_record":{"source":{"id":"1704.06612","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-04-21T16:02:45Z","cross_cats_sorted":[],"title_canon_sha256":"d1f4fbef7960035ec208b048dacf5e721a2ab5bb93f89dca6a6e97bacc8e33f3","abstract_canon_sha256":"3bc97236b0f0c226d1712bdfc939bab74f1620dc03cbc3749584e68aeb52b3f1"},"schema_version":"1.0"},"canonical_sha256":"1d59770f32467b9f01fae7c02e568501374956049940090cc4d53cb36608e934","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:10.580268Z","signature_b64":"znGyZ03/HeEZ3ZhldHMizOnT4cT29XKC1yDf/hKgSVobWPXzL2cryz8wHHgbFT+VGP0NXMUjSjhMzVu2s4hOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d59770f32467b9f01fae7c02e568501374956049940090cc4d53cb36608e934","last_reissued_at":"2026-05-18T00:35:10.579823Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:10.579823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.06612","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":"2026-05-18T00:35:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZKwDjsvsp4Jfk6fcWrsKgt8RuhdUH3exaQgAnOHrxyPoqAD8BrNoR2TiNDuFFQmk10Fv0sRY2lQbJjk0ea1GCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:12:02.796772Z"},"content_sha256":"4eb2fface45f0357ea895f5c8c8ab9ac143c9f4a3560a1a5b4dd4fd311ab454a","schema_version":"1.0","event_id":"sha256:4eb2fface45f0357ea895f5c8c8ab9ac143c9f4a3560a1a5b4dd4fd311ab454a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DVMXODZSIZ5Z6AP247AC4VUFAE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete-to-continuous transition in quantum phase estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"R. Demkowicz-Dobrzanski, W. Rzadkowski","submitted_at":"2017-04-21T16:02:45Z","abstract_excerpt":"We analyze the problem of quantum phase estimation where the set of allowed phases forms a discrete $N$ element subset of the whole $[0,2\\pi]$ interval, $\\varphi_n = 2\\pi n/N$, $n=0,\\dots N-1$ and study the discrete-to-continuous transition $N\\rightarrow\\infty$ for various cost functions as well as the mutual information. We also analyze the relation between the problems of phase discrimination and estimation by considering a step cost functions of a given width $\\sigma$ around the true estimated value. We show that in general a direct application of the theory of covariant measurements for a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06612","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":""},"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":"2026-05-18T00:35:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"reKaZF60FoWkNq9L5V8mdvybbIA2/cIW8EQ5krBhRNbahdsoU3lxBMKzbb2FrFYVKJWikab2H0FW8edSMb1ZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:12:02.797128Z"},"content_sha256":"8783bc9b9cd1593141c8063b81d0da0c7f988a08e7ee7af52a6590cd03e44a44","schema_version":"1.0","event_id":"sha256:8783bc9b9cd1593141c8063b81d0da0c7f988a08e7ee7af52a6590cd03e44a44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DVMXODZSIZ5Z6AP247AC4VUFAE/bundle.json","state_url":"https://pith.science/pith/DVMXODZSIZ5Z6AP247AC4VUFAE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DVMXODZSIZ5Z6AP247AC4VUFAE/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":"2026-05-30T13:12:02Z","links":{"resolver":"https://pith.science/pith/DVMXODZSIZ5Z6AP247AC4VUFAE","bundle":"https://pith.science/pith/DVMXODZSIZ5Z6AP247AC4VUFAE/bundle.json","state":"https://pith.science/pith/DVMXODZSIZ5Z6AP247AC4VUFAE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DVMXODZSIZ5Z6AP247AC4VUFAE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DVMXODZSIZ5Z6AP247AC4VUFAE","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":"3bc97236b0f0c226d1712bdfc939bab74f1620dc03cbc3749584e68aeb52b3f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-04-21T16:02:45Z","title_canon_sha256":"d1f4fbef7960035ec208b048dacf5e721a2ab5bb93f89dca6a6e97bacc8e33f3"},"schema_version":"1.0","source":{"id":"1704.06612","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06612","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06612v3","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06612","created_at":"2026-05-18T00:35:10Z"},{"alias_kind":"pith_short_12","alias_value":"DVMXODZSIZ5Z","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DVMXODZSIZ5Z6AP2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DVMXODZS","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:8783bc9b9cd1593141c8063b81d0da0c7f988a08e7ee7af52a6590cd03e44a44","target":"graph","created_at":"2026-05-18T00:35:10Z","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":"We analyze the problem of quantum phase estimation where the set of allowed phases forms a discrete $N$ element subset of the whole $[0,2\\pi]$ interval, $\\varphi_n = 2\\pi n/N$, $n=0,\\dots N-1$ and study the discrete-to-continuous transition $N\\rightarrow\\infty$ for various cost functions as well as the mutual information. We also analyze the relation between the problems of phase discrimination and estimation by considering a step cost functions of a given width $\\sigma$ around the true estimated value. We show that in general a direct application of the theory of covariant measurements for a ","authors_text":"R. Demkowicz-Dobrzanski, W. Rzadkowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-04-21T16:02:45Z","title":"Discrete-to-continuous transition in quantum phase estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06612","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":"sha256:4eb2fface45f0357ea895f5c8c8ab9ac143c9f4a3560a1a5b4dd4fd311ab454a","target":"record","created_at":"2026-05-18T00:35:10Z","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":"3bc97236b0f0c226d1712bdfc939bab74f1620dc03cbc3749584e68aeb52b3f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-04-21T16:02:45Z","title_canon_sha256":"d1f4fbef7960035ec208b048dacf5e721a2ab5bb93f89dca6a6e97bacc8e33f3"},"schema_version":"1.0","source":{"id":"1704.06612","kind":"arxiv","version":3}},"canonical_sha256":"1d59770f32467b9f01fae7c02e568501374956049940090cc4d53cb36608e934","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d59770f32467b9f01fae7c02e568501374956049940090cc4d53cb36608e934","first_computed_at":"2026-05-18T00:35:10.579823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:10.579823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"znGyZ03/HeEZ3ZhldHMizOnT4cT29XKC1yDf/hKgSVobWPXzL2cryz8wHHgbFT+VGP0NXMUjSjhMzVu2s4hOBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:10.580268Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.06612","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4eb2fface45f0357ea895f5c8c8ab9ac143c9f4a3560a1a5b4dd4fd311ab454a","sha256:8783bc9b9cd1593141c8063b81d0da0c7f988a08e7ee7af52a6590cd03e44a44"],"state_sha256":"5c8e49920085569f7375b52504331cd34a16069b17d8cb8c0b882b8a0928ef0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uQWfpPeDAMYRZr4FBR+9B/38g43qElYoAeOX/lNpodR1L7RLguK69MJE2AxlQCP1HcC7/Wa7ktmxSZIEfBq1Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:12:02.799193Z","bundle_sha256":"e4c30f732c5009c5ca729f7226aa89f9f1cfc4016f5339c6b54aa83b2c1a1669"}}