{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JEJAHHXNUJFX2OZONX7TFKTMQM","short_pith_number":"pith:JEJAHHXN","canonical_record":{"source":{"id":"1212.0917","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-05T02:22:12Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7dd7a8d3ee1d6f622e4dafc1c9323b8d2110370a509fb1e3088976d76bc742cc","abstract_canon_sha256":"6955a93063ad635271e7d3bc038fde57888c1cb5eb162d3e628a8486ffc0e0b0"},"schema_version":"1.0"},"canonical_sha256":"4912039eeda24b7d3b2e6dff32aa6c83062e5164dd376811412c989d33481de7","source":{"kind":"arxiv","id":"1212.0917","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0917","created_at":"2026-05-18T03:32:31Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0917v2","created_at":"2026-05-18T03:32:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0917","created_at":"2026-05-18T03:32:31Z"},{"alias_kind":"pith_short_12","alias_value":"JEJAHHXNUJFX","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JEJAHHXNUJFX2OZO","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JEJAHHXN","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JEJAHHXNUJFX2OZONX7TFKTMQM","target":"record","payload":{"canonical_record":{"source":{"id":"1212.0917","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-05T02:22:12Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7dd7a8d3ee1d6f622e4dafc1c9323b8d2110370a509fb1e3088976d76bc742cc","abstract_canon_sha256":"6955a93063ad635271e7d3bc038fde57888c1cb5eb162d3e628a8486ffc0e0b0"},"schema_version":"1.0"},"canonical_sha256":"4912039eeda24b7d3b2e6dff32aa6c83062e5164dd376811412c989d33481de7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:31.348196Z","signature_b64":"agkHO2wcoZszVM7HNMwz0GD2CzSijHKrD2iWk5FRzOPAsTEO/85TpfwODMAdlVgUJm1RC+zsMZaaLBsDzQSOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4912039eeda24b7d3b2e6dff32aa6c83062e5164dd376811412c989d33481de7","last_reissued_at":"2026-05-18T03:32:31.347444Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:31.347444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.0917","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":"2026-05-18T03:32:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yvy19brfVe3Srk7FQbkAoIiLd29Al1R7YUG99Zon6mgKJZu1TdABraKoQh95HXcgBAIr0799mbGBFix3JGjYDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:33:06.237028Z"},"content_sha256":"b51ea6f5b28cf51b36b22cca424dd3a3a5e6192cc92c8007c24a17e388d40383","schema_version":"1.0","event_id":"sha256:b51ea6f5b28cf51b36b22cca424dd3a3a5e6192cc92c8007c24a17e388d40383"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JEJAHHXNUJFX2OZONX7TFKTMQM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fisher information under decoherence in Bloch representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Franco Nori, Jian Ma, Wei Zhong, Xiaoguang Wang, Zhe Sun","submitted_at":"2012-12-05T02:22:12Z","abstract_excerpt":"The dynamics of two variants of quantum Fisher information under decoherence are investigated from a geometrical point of view. We first derive the explicit formulas of these two quantities for a single qubit in terms of the Bloch vector. Moreover, we obtain analytical results for them under three different decoherence channels, which are expressed as affine transformation matrices. Using the hierarchy equation method, we numerically study the dynamics of both the two information in a dissipative model and compare the numerical results with the analytical ones obtained by applying the rotating"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0917","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":"2026-05-18T03:32:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qo74JwlqgFoRSDQNul/3vxWGgYq3pjtLFBRZ5dTnRSm1aJ3voRarrXKk7frMvfLpf51nefU68GEa3tHf5QliBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:33:06.237697Z"},"content_sha256":"51971d6f5d5d466495f84996c06945de822b9db55c22e03030b0b32f7244b1a5","schema_version":"1.0","event_id":"sha256:51971d6f5d5d466495f84996c06945de822b9db55c22e03030b0b32f7244b1a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JEJAHHXNUJFX2OZONX7TFKTMQM/bundle.json","state_url":"https://pith.science/pith/JEJAHHXNUJFX2OZONX7TFKTMQM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JEJAHHXNUJFX2OZONX7TFKTMQM/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":"2026-05-30T15:33:06Z","links":{"resolver":"https://pith.science/pith/JEJAHHXNUJFX2OZONX7TFKTMQM","bundle":"https://pith.science/pith/JEJAHHXNUJFX2OZONX7TFKTMQM/bundle.json","state":"https://pith.science/pith/JEJAHHXNUJFX2OZONX7TFKTMQM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JEJAHHXNUJFX2OZONX7TFKTMQM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JEJAHHXNUJFX2OZONX7TFKTMQM","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":"6955a93063ad635271e7d3bc038fde57888c1cb5eb162d3e628a8486ffc0e0b0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-05T02:22:12Z","title_canon_sha256":"7dd7a8d3ee1d6f622e4dafc1c9323b8d2110370a509fb1e3088976d76bc742cc"},"schema_version":"1.0","source":{"id":"1212.0917","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0917","created_at":"2026-05-18T03:32:31Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0917v2","created_at":"2026-05-18T03:32:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0917","created_at":"2026-05-18T03:32:31Z"},{"alias_kind":"pith_short_12","alias_value":"JEJAHHXNUJFX","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JEJAHHXNUJFX2OZO","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JEJAHHXN","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:51971d6f5d5d466495f84996c06945de822b9db55c22e03030b0b32f7244b1a5","target":"graph","created_at":"2026-05-18T03:32:31Z","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":"The dynamics of two variants of quantum Fisher information under decoherence are investigated from a geometrical point of view. We first derive the explicit formulas of these two quantities for a single qubit in terms of the Bloch vector. Moreover, we obtain analytical results for them under three different decoherence channels, which are expressed as affine transformation matrices. Using the hierarchy equation method, we numerically study the dynamics of both the two information in a dissipative model and compare the numerical results with the analytical ones obtained by applying the rotating","authors_text":"Franco Nori, Jian Ma, Wei Zhong, Xiaoguang Wang, Zhe Sun","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-05T02:22:12Z","title":"Fisher information under decoherence in Bloch representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0917","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:b51ea6f5b28cf51b36b22cca424dd3a3a5e6192cc92c8007c24a17e388d40383","target":"record","created_at":"2026-05-18T03:32:31Z","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":"6955a93063ad635271e7d3bc038fde57888c1cb5eb162d3e628a8486ffc0e0b0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-05T02:22:12Z","title_canon_sha256":"7dd7a8d3ee1d6f622e4dafc1c9323b8d2110370a509fb1e3088976d76bc742cc"},"schema_version":"1.0","source":{"id":"1212.0917","kind":"arxiv","version":2}},"canonical_sha256":"4912039eeda24b7d3b2e6dff32aa6c83062e5164dd376811412c989d33481de7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4912039eeda24b7d3b2e6dff32aa6c83062e5164dd376811412c989d33481de7","first_computed_at":"2026-05-18T03:32:31.347444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:31.347444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"agkHO2wcoZszVM7HNMwz0GD2CzSijHKrD2iWk5FRzOPAsTEO/85TpfwODMAdlVgUJm1RC+zsMZaaLBsDzQSOBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:31.348196Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0917","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b51ea6f5b28cf51b36b22cca424dd3a3a5e6192cc92c8007c24a17e388d40383","sha256:51971d6f5d5d466495f84996c06945de822b9db55c22e03030b0b32f7244b1a5"],"state_sha256":"3607422685babd9a1b80278c42959c3bfef127f1ff28781df9112ca6e403fc58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nmdB1JLPSr6no1EtvyOU1qjEcGhzarCzeWCHoXAhWJV6g3w0e47eM7eDeXN094E6q8YHWJ3PG3HdEGP9JvTcBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T15:33:06.240799Z","bundle_sha256":"5bf8edac9161cc72bbebb2330b1833ef6306d8c9070748b61ff56a1021bf1dd4"}}