{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:IBTQUIFLSRMCTPTS4ZQCPTWQJH","short_pith_number":"pith:IBTQUIFL","canonical_record":{"source":{"id":"0910.3593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2009-10-19T15:15:33Z","cross_cats_sorted":[],"title_canon_sha256":"1298ccf8aa60372a3327f312b43be9549f3ff5a291a60d9629b573ae24efb5ce","abstract_canon_sha256":"a9719b3d1c074f45e0c43ea3c13cf93b90965abbf55e6bb6013e69744cf53181"},"schema_version":"1.0"},"canonical_sha256":"40670a20ab945829be72e66027ced049cba4d0d091474edcc24fb5dcfb62d2e0","source":{"kind":"arxiv","id":"0910.3593","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.3593","created_at":"2026-05-18T02:11:14Z"},{"alias_kind":"arxiv_version","alias_value":"0910.3593v1","created_at":"2026-05-18T02:11:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.3593","created_at":"2026-05-18T02:11:14Z"},{"alias_kind":"pith_short_12","alias_value":"IBTQUIFLSRMC","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IBTQUIFLSRMCTPTS","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IBTQUIFL","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:IBTQUIFLSRMCTPTS4ZQCPTWQJH","target":"record","payload":{"canonical_record":{"source":{"id":"0910.3593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2009-10-19T15:15:33Z","cross_cats_sorted":[],"title_canon_sha256":"1298ccf8aa60372a3327f312b43be9549f3ff5a291a60d9629b573ae24efb5ce","abstract_canon_sha256":"a9719b3d1c074f45e0c43ea3c13cf93b90965abbf55e6bb6013e69744cf53181"},"schema_version":"1.0"},"canonical_sha256":"40670a20ab945829be72e66027ced049cba4d0d091474edcc24fb5dcfb62d2e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:14.240241Z","signature_b64":"NVjoYCWZPEyMAtVPMTaHkxO07o4EW6yH+ybVuJiLuHRp9+YxoYeBSqT6gpInRDqT1uoBxiUNER/vFGv3YNVtAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40670a20ab945829be72e66027ced049cba4d0d091474edcc24fb5dcfb62d2e0","last_reissued_at":"2026-05-18T02:11:14.239511Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:14.239511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.3593","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":"2026-05-18T02:11:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p8BDdMLsj4VQAsKAX4RjUuOcwXrTY/wnqgDw3sZvKu1mFqwPFSfi5ly9VfuO/UVSGN9eBFHNkTqhn42ctMHZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:51:29.604977Z"},"content_sha256":"0f68d83bbaba96463f53e6551ca24eb46444d26fe86d7643de79d5269c381d56","schema_version":"1.0","event_id":"sha256:0f68d83bbaba96463f53e6551ca24eb46444d26fe86d7643de79d5269c381d56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:IBTQUIFLSRMCTPTS4ZQCPTWQJH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derivatives of spin dynamics simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Christopher T. Rodgers, Ilya Kuprov","submitted_at":"2009-10-19T15:15:33Z","abstract_excerpt":"We report analytical equations for the derivatives of spin dynamics simulations with respect to pulse sequence and spin system parameters. The methods described are significantly faster, more accurate and more reliable than the finite difference approximations typically employed. The resulting derivatives may be used in fitting, optimization, performance evaluation and stability analysis of spin dynamics simulations and experiments.\n  Keywords: NMR, EPR, simulation, analytical derivatives, optimal control, spin chemistry, radical pair."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.3593","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":"2026-05-18T02:11:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pgfcjy3L/vJ9dcqHWFg6qqNqUkly8Jz7Pc/37Ta402rjvQ4sqKcgV1WwNQzf1uzTi+KdXJBlY5QLQFwo9DfzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:51:29.605687Z"},"content_sha256":"e4299a7bbad7104dea4c91d0ce06d95b30143eb5f084d601ebb7fdf0b4d0cc18","schema_version":"1.0","event_id":"sha256:e4299a7bbad7104dea4c91d0ce06d95b30143eb5f084d601ebb7fdf0b4d0cc18"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IBTQUIFLSRMCTPTS4ZQCPTWQJH/bundle.json","state_url":"https://pith.science/pith/IBTQUIFLSRMCTPTS4ZQCPTWQJH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IBTQUIFLSRMCTPTS4ZQCPTWQJH/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":"2026-06-09T08:51:29Z","links":{"resolver":"https://pith.science/pith/IBTQUIFLSRMCTPTS4ZQCPTWQJH","bundle":"https://pith.science/pith/IBTQUIFLSRMCTPTS4ZQCPTWQJH/bundle.json","state":"https://pith.science/pith/IBTQUIFLSRMCTPTS4ZQCPTWQJH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IBTQUIFLSRMCTPTS4ZQCPTWQJH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:IBTQUIFLSRMCTPTS4ZQCPTWQJH","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":"a9719b3d1c074f45e0c43ea3c13cf93b90965abbf55e6bb6013e69744cf53181","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2009-10-19T15:15:33Z","title_canon_sha256":"1298ccf8aa60372a3327f312b43be9549f3ff5a291a60d9629b573ae24efb5ce"},"schema_version":"1.0","source":{"id":"0910.3593","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.3593","created_at":"2026-05-18T02:11:14Z"},{"alias_kind":"arxiv_version","alias_value":"0910.3593v1","created_at":"2026-05-18T02:11:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.3593","created_at":"2026-05-18T02:11:14Z"},{"alias_kind":"pith_short_12","alias_value":"IBTQUIFLSRMC","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IBTQUIFLSRMCTPTS","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IBTQUIFL","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:e4299a7bbad7104dea4c91d0ce06d95b30143eb5f084d601ebb7fdf0b4d0cc18","target":"graph","created_at":"2026-05-18T02:11:14Z","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 report analytical equations for the derivatives of spin dynamics simulations with respect to pulse sequence and spin system parameters. The methods described are significantly faster, more accurate and more reliable than the finite difference approximations typically employed. The resulting derivatives may be used in fitting, optimization, performance evaluation and stability analysis of spin dynamics simulations and experiments.\n  Keywords: NMR, EPR, simulation, analytical derivatives, optimal control, spin chemistry, radical pair.","authors_text":"Christopher T. Rodgers, Ilya Kuprov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2009-10-19T15:15:33Z","title":"Derivatives of spin dynamics simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.3593","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":"sha256:0f68d83bbaba96463f53e6551ca24eb46444d26fe86d7643de79d5269c381d56","target":"record","created_at":"2026-05-18T02:11:14Z","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":"a9719b3d1c074f45e0c43ea3c13cf93b90965abbf55e6bb6013e69744cf53181","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2009-10-19T15:15:33Z","title_canon_sha256":"1298ccf8aa60372a3327f312b43be9549f3ff5a291a60d9629b573ae24efb5ce"},"schema_version":"1.0","source":{"id":"0910.3593","kind":"arxiv","version":1}},"canonical_sha256":"40670a20ab945829be72e66027ced049cba4d0d091474edcc24fb5dcfb62d2e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40670a20ab945829be72e66027ced049cba4d0d091474edcc24fb5dcfb62d2e0","first_computed_at":"2026-05-18T02:11:14.239511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:14.239511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NVjoYCWZPEyMAtVPMTaHkxO07o4EW6yH+ybVuJiLuHRp9+YxoYeBSqT6gpInRDqT1uoBxiUNER/vFGv3YNVtAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:14.240241Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.3593","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f68d83bbaba96463f53e6551ca24eb46444d26fe86d7643de79d5269c381d56","sha256:e4299a7bbad7104dea4c91d0ce06d95b30143eb5f084d601ebb7fdf0b4d0cc18"],"state_sha256":"fa921a22245ef1b5178502fd011c2030f85846a62fa029934a312cd156e21f43"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qzRuSQ0kPDMiqr8UP8n5/R96l0EROLBHNxt11WYw14tCZUfk9Ga2DKo7SoF3TTlKzPAsI4QDE2NsAgfHCDmWDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:51:29.609824Z","bundle_sha256":"09ecabf599ba4a2fe311e1ac28b4be0b071d83150896b62d2eba140acf9df83d"}}