{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3CCPHSBUJYWHFWBVV3CHHY6M2J","short_pith_number":"pith:3CCPHSBU","canonical_record":{"source":{"id":"1112.0736","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-04T09:41:30Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"39ce98fdf0474a93018ca934ea37c629e08de5c0121d9638ceafa0117b4921d6","abstract_canon_sha256":"e18162400f94a8d47852cbfa9ba27b27291d51c2623257798a171ab86540d79b"},"schema_version":"1.0"},"canonical_sha256":"d884f3c8344e2c72d835aec473e3ccd24c74bf98c0b61befefa791edbb1a43a2","source":{"kind":"arxiv","id":"1112.0736","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.0736","created_at":"2026-05-18T03:23:12Z"},{"alias_kind":"arxiv_version","alias_value":"1112.0736v2","created_at":"2026-05-18T03:23:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0736","created_at":"2026-05-18T03:23:12Z"},{"alias_kind":"pith_short_12","alias_value":"3CCPHSBUJYWH","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3CCPHSBUJYWHFWBV","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3CCPHSBU","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3CCPHSBUJYWHFWBVV3CHHY6M2J","target":"record","payload":{"canonical_record":{"source":{"id":"1112.0736","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-04T09:41:30Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"39ce98fdf0474a93018ca934ea37c629e08de5c0121d9638ceafa0117b4921d6","abstract_canon_sha256":"e18162400f94a8d47852cbfa9ba27b27291d51c2623257798a171ab86540d79b"},"schema_version":"1.0"},"canonical_sha256":"d884f3c8344e2c72d835aec473e3ccd24c74bf98c0b61befefa791edbb1a43a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:12.175942Z","signature_b64":"xjVq3+w8HVZnrJJctieST98btO0HOjKykJvTQXXReUhM5AU9pRR+3NlwF1dbyc9UJjsk5ABxjTEWVL0P1+laDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d884f3c8344e2c72d835aec473e3ccd24c74bf98c0b61befefa791edbb1a43a2","last_reissued_at":"2026-05-18T03:23:12.175276Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:12.175276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.0736","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":"2026-05-18T03:23:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N5GCcW1PZC9uZEno7JuM7EZw3SGxvzztjRk0BGgrqVglUI2Om/u6dssYMwIJM5tTv6WSuQhTobIVhrAaG0KVAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:11:22.109832Z"},"content_sha256":"bfde105578e4389cc0dd7056636c1130a662d40f7687c02a54f2a78aa1e13fda","schema_version":"1.0","event_id":"sha256:bfde105578e4389cc0dd7056636c1130a662d40f7687c02a54f2a78aa1e13fda"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3CCPHSBUJYWHFWBVV3CHHY6M2J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Measurement-induced nonlocality based on the relative entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Xiaoguang Wang, Yongming Li, Zhengjun Xi","submitted_at":"2011-12-04T09:41:30Z","abstract_excerpt":"We quantify the measurement-induced nonlocality [Luo and Fu, Phys. Rev. Lett. 106, 120401 (2011)] from the perspective of the relative entropy. This quantification leads to an operational interpretation for the measurementinduced nonlocality, namely, it is the maximal entropy increase after the locally invariant measurements. The relative entropy of nonlocality is upper bounded by the entropy of the measured subsystem. We establish a relationship between the relative entropy of nonlocality and the geometric nonlocality based on the Hilbert- Schmidt norm, and show that it is equal to the maxima"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0736","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":""},"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":"2026-05-18T03:23:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ej6LcdiDMpIuUQZedgszqA5WX58NZGNLAdf6d0gelsSdgdRHv3EipgzenUCH+iXW+BGDdfxTogoHdZmqVV5kAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:11:22.110177Z"},"content_sha256":"98a46d9a46031512ca381b821ad41e3dc5c1435b663229f711d13bba5f03b9d3","schema_version":"1.0","event_id":"sha256:98a46d9a46031512ca381b821ad41e3dc5c1435b663229f711d13bba5f03b9d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3CCPHSBUJYWHFWBVV3CHHY6M2J/bundle.json","state_url":"https://pith.science/pith/3CCPHSBUJYWHFWBVV3CHHY6M2J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3CCPHSBUJYWHFWBVV3CHHY6M2J/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":"2026-06-04T01:11:22Z","links":{"resolver":"https://pith.science/pith/3CCPHSBUJYWHFWBVV3CHHY6M2J","bundle":"https://pith.science/pith/3CCPHSBUJYWHFWBVV3CHHY6M2J/bundle.json","state":"https://pith.science/pith/3CCPHSBUJYWHFWBVV3CHHY6M2J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3CCPHSBUJYWHFWBVV3CHHY6M2J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3CCPHSBUJYWHFWBVV3CHHY6M2J","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":"e18162400f94a8d47852cbfa9ba27b27291d51c2623257798a171ab86540d79b","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-04T09:41:30Z","title_canon_sha256":"39ce98fdf0474a93018ca934ea37c629e08de5c0121d9638ceafa0117b4921d6"},"schema_version":"1.0","source":{"id":"1112.0736","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.0736","created_at":"2026-05-18T03:23:12Z"},{"alias_kind":"arxiv_version","alias_value":"1112.0736v2","created_at":"2026-05-18T03:23:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0736","created_at":"2026-05-18T03:23:12Z"},{"alias_kind":"pith_short_12","alias_value":"3CCPHSBUJYWH","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3CCPHSBUJYWHFWBV","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3CCPHSBU","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:98a46d9a46031512ca381b821ad41e3dc5c1435b663229f711d13bba5f03b9d3","target":"graph","created_at":"2026-05-18T03:23:12Z","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 quantify the measurement-induced nonlocality [Luo and Fu, Phys. Rev. Lett. 106, 120401 (2011)] from the perspective of the relative entropy. This quantification leads to an operational interpretation for the measurementinduced nonlocality, namely, it is the maximal entropy increase after the locally invariant measurements. The relative entropy of nonlocality is upper bounded by the entropy of the measured subsystem. We establish a relationship between the relative entropy of nonlocality and the geometric nonlocality based on the Hilbert- Schmidt norm, and show that it is equal to the maxima","authors_text":"Xiaoguang Wang, Yongming Li, Zhengjun Xi","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-04T09:41:30Z","title":"Measurement-induced nonlocality based on the relative entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0736","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:bfde105578e4389cc0dd7056636c1130a662d40f7687c02a54f2a78aa1e13fda","target":"record","created_at":"2026-05-18T03:23:12Z","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":"e18162400f94a8d47852cbfa9ba27b27291d51c2623257798a171ab86540d79b","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-04T09:41:30Z","title_canon_sha256":"39ce98fdf0474a93018ca934ea37c629e08de5c0121d9638ceafa0117b4921d6"},"schema_version":"1.0","source":{"id":"1112.0736","kind":"arxiv","version":2}},"canonical_sha256":"d884f3c8344e2c72d835aec473e3ccd24c74bf98c0b61befefa791edbb1a43a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d884f3c8344e2c72d835aec473e3ccd24c74bf98c0b61befefa791edbb1a43a2","first_computed_at":"2026-05-18T03:23:12.175276Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:12.175276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xjVq3+w8HVZnrJJctieST98btO0HOjKykJvTQXXReUhM5AU9pRR+3NlwF1dbyc9UJjsk5ABxjTEWVL0P1+laDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:12.175942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.0736","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfde105578e4389cc0dd7056636c1130a662d40f7687c02a54f2a78aa1e13fda","sha256:98a46d9a46031512ca381b821ad41e3dc5c1435b663229f711d13bba5f03b9d3"],"state_sha256":"235ed68b9eed5917e7594174f9a47b883b486476f8b037f687661fe79f615371"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jEYwmhZkxKMor8nL45Yv7PJrNDfktpVAi81SOsoUrIVF3uP0ZL24+j6vjDQ3Wk8OR15BIabf0iTMhOTxVVZRAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:11:22.112437Z","bundle_sha256":"2ff642c3d2e2498c2e8134fc9656be5dffdfd1ee5cd6262ff6644411edecf00c"}}