{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:4XRK43HW3TA23IANA4RMZEMLIK","short_pith_number":"pith:4XRK43HW","canonical_record":{"source":{"id":"1511.00552","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-11-02T15:37:42Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"4c555db6477b609eec41a1f6b06bf0aec84e5688b7063af84a96128b3590989b","abstract_canon_sha256":"aa059ca679776a20e29fc2a53990dad4d018c4f961f8c817ea4686ae6f045cf3"},"schema_version":"1.0"},"canonical_sha256":"e5e2ae6cf6dcc1ada00d0722cc918b42b1e8bee94202b208c023bd27906432af","source":{"kind":"arxiv","id":"1511.00552","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00552","created_at":"2026-05-18T01:05:45Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00552v3","created_at":"2026-05-18T01:05:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00552","created_at":"2026-05-18T01:05:45Z"},{"alias_kind":"pith_short_12","alias_value":"4XRK43HW3TA2","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4XRK43HW3TA23IAN","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4XRK43HW","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:4XRK43HW3TA23IANA4RMZEMLIK","target":"record","payload":{"canonical_record":{"source":{"id":"1511.00552","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-11-02T15:37:42Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"4c555db6477b609eec41a1f6b06bf0aec84e5688b7063af84a96128b3590989b","abstract_canon_sha256":"aa059ca679776a20e29fc2a53990dad4d018c4f961f8c817ea4686ae6f045cf3"},"schema_version":"1.0"},"canonical_sha256":"e5e2ae6cf6dcc1ada00d0722cc918b42b1e8bee94202b208c023bd27906432af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:45.782959Z","signature_b64":"COOGGMwGgWT0NySKd7YmiCMrOgAkIP1OaLfacDAKDDdtz4FXfhHTalZx4EVWODCghwWixyxxz98MN0K4Fy/ICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5e2ae6cf6dcc1ada00d0722cc918b42b1e8bee94202b208c023bd27906432af","last_reissued_at":"2026-05-18T01:05:45.782368Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:45.782368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.00552","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":"2026-05-18T01:05:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cp7cxYqQlaDYusqRVxpq4+394eGatGNAuAewMheSjpNGLowxEJS6yzL/hsmP8M3MG63/lntn2zO2TSsVnDoLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:11:20.384985Z"},"content_sha256":"27e37383f9b98e7cc3acd78ece32b4f72d5efbb236fdc761962fb63e2d2848aa","schema_version":"1.0","event_id":"sha256:27e37383f9b98e7cc3acd78ece32b4f72d5efbb236fdc761962fb63e2d2848aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:4XRK43HW3TA23IANA4RMZEMLIK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Theory of Superresolution for Two Incoherent Optical Point Sources","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"quant-ph","authors_text":"Mankei Tsang, Ranjith Nair, Xiao-Ming Lu","submitted_at":"2015-11-02T15:37:42Z","abstract_excerpt":"Rayleigh's criterion for resolving two incoherent point sources has been the most influential measure of optical imaging resolution for over a century. In the context of statistical image processing, violation of the criterion is especially detrimental to the estimation of the separation between the sources, and modern farfield superresolution techniques rely on suppressing the emission of close sources to enhance the localization precision. Using quantum optics, quantum metrology, and statistical analysis, here we show that, even if two close incoherent sources emit simultaneously, measuremen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00552","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":"2026-05-18T01:05:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m6zvwmYTGIKgtyoPjr30WKHEVsBuoU1bebEVEKFFWXpcdQuY+kHkx/uKKwN/fypIMk5bblOhdilJXg7fnoR8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:11:20.385666Z"},"content_sha256":"c40f12fa5c27daf37396d2120400168c836f95c7ab9ed5a479ddeae4765d071f","schema_version":"1.0","event_id":"sha256:c40f12fa5c27daf37396d2120400168c836f95c7ab9ed5a479ddeae4765d071f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4XRK43HW3TA23IANA4RMZEMLIK/bundle.json","state_url":"https://pith.science/pith/4XRK43HW3TA23IANA4RMZEMLIK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4XRK43HW3TA23IANA4RMZEMLIK/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":"2026-06-08T17:11:20Z","links":{"resolver":"https://pith.science/pith/4XRK43HW3TA23IANA4RMZEMLIK","bundle":"https://pith.science/pith/4XRK43HW3TA23IANA4RMZEMLIK/bundle.json","state":"https://pith.science/pith/4XRK43HW3TA23IANA4RMZEMLIK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4XRK43HW3TA23IANA4RMZEMLIK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4XRK43HW3TA23IANA4RMZEMLIK","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":"aa059ca679776a20e29fc2a53990dad4d018c4f961f8c817ea4686ae6f045cf3","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-11-02T15:37:42Z","title_canon_sha256":"4c555db6477b609eec41a1f6b06bf0aec84e5688b7063af84a96128b3590989b"},"schema_version":"1.0","source":{"id":"1511.00552","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00552","created_at":"2026-05-18T01:05:45Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00552v3","created_at":"2026-05-18T01:05:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00552","created_at":"2026-05-18T01:05:45Z"},{"alias_kind":"pith_short_12","alias_value":"4XRK43HW3TA2","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4XRK43HW3TA23IAN","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4XRK43HW","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:c40f12fa5c27daf37396d2120400168c836f95c7ab9ed5a479ddeae4765d071f","target":"graph","created_at":"2026-05-18T01:05:45Z","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":"Rayleigh's criterion for resolving two incoherent point sources has been the most influential measure of optical imaging resolution for over a century. In the context of statistical image processing, violation of the criterion is especially detrimental to the estimation of the separation between the sources, and modern farfield superresolution techniques rely on suppressing the emission of close sources to enhance the localization precision. Using quantum optics, quantum metrology, and statistical analysis, here we show that, even if two close incoherent sources emit simultaneously, measuremen","authors_text":"Mankei Tsang, Ranjith Nair, Xiao-Ming Lu","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-11-02T15:37:42Z","title":"Quantum Theory of Superresolution for Two Incoherent Optical Point Sources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00552","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":"sha256:27e37383f9b98e7cc3acd78ece32b4f72d5efbb236fdc761962fb63e2d2848aa","target":"record","created_at":"2026-05-18T01:05:45Z","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":"aa059ca679776a20e29fc2a53990dad4d018c4f961f8c817ea4686ae6f045cf3","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-11-02T15:37:42Z","title_canon_sha256":"4c555db6477b609eec41a1f6b06bf0aec84e5688b7063af84a96128b3590989b"},"schema_version":"1.0","source":{"id":"1511.00552","kind":"arxiv","version":3}},"canonical_sha256":"e5e2ae6cf6dcc1ada00d0722cc918b42b1e8bee94202b208c023bd27906432af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5e2ae6cf6dcc1ada00d0722cc918b42b1e8bee94202b208c023bd27906432af","first_computed_at":"2026-05-18T01:05:45.782368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:45.782368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"COOGGMwGgWT0NySKd7YmiCMrOgAkIP1OaLfacDAKDDdtz4FXfhHTalZx4EVWODCghwWixyxxz98MN0K4Fy/ICA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:45.782959Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00552","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27e37383f9b98e7cc3acd78ece32b4f72d5efbb236fdc761962fb63e2d2848aa","sha256:c40f12fa5c27daf37396d2120400168c836f95c7ab9ed5a479ddeae4765d071f"],"state_sha256":"97f6bf5fe325459a1b9ad862c26b56cf1e287c323aed88125b4f3f2ba4d1ecc6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ng86QMdhk3HejPMXsIxTSvN9zJOY0Gx1VzILhWPcmY1Y/w3HPne1wQWRAxgTS7D+rkrKSYlUTfTP+1D+Y+RuDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:11:20.389330Z","bundle_sha256":"e01194ce6881dbbe58ad8539ef4829017d53ae43b829801fe131bb09ec086848"}}