{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YY66NUDFJBOD6ZGAUYFZZ7LDWK","short_pith_number":"pith:YY66NUDF","canonical_record":{"source":{"id":"1808.03211","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-08-09T15:56:00Z","cross_cats_sorted":[],"title_canon_sha256":"5401587a9c2068b5c120fd4094d8bd3b96b04684813364849c06c450807c160c","abstract_canon_sha256":"73d6c8d3265581a710b65590cb0b9a5835b60c81581922151027966407a1fad8"},"schema_version":"1.0"},"canonical_sha256":"c63de6d065485c3f64c0a60b9cfd63b2945f824dd4be7abc92ee49beafb44574","source":{"kind":"arxiv","id":"1808.03211","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03211","created_at":"2026-05-18T00:08:29Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03211v1","created_at":"2026-05-18T00:08:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03211","created_at":"2026-05-18T00:08:29Z"},{"alias_kind":"pith_short_12","alias_value":"YY66NUDFJBOD","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YY66NUDFJBOD6ZGA","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YY66NUDF","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YY66NUDFJBOD6ZGAUYFZZ7LDWK","target":"record","payload":{"canonical_record":{"source":{"id":"1808.03211","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-08-09T15:56:00Z","cross_cats_sorted":[],"title_canon_sha256":"5401587a9c2068b5c120fd4094d8bd3b96b04684813364849c06c450807c160c","abstract_canon_sha256":"73d6c8d3265581a710b65590cb0b9a5835b60c81581922151027966407a1fad8"},"schema_version":"1.0"},"canonical_sha256":"c63de6d065485c3f64c0a60b9cfd63b2945f824dd4be7abc92ee49beafb44574","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:29.893299Z","signature_b64":"AybF+s4qZCAkeJWzXVQEEb0xP4jbcguWOV/VwggE5zfEHvEKcNrqQXFzhxfaX0uCch60BJ5X465BAeFay5JEBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c63de6d065485c3f64c0a60b9cfd63b2945f824dd4be7abc92ee49beafb44574","last_reissued_at":"2026-05-18T00:08:29.892945Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:29.892945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.03211","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":"2026-05-18T00:08:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ikcoVZ2EP7/QssVWZz2ugLu5oU5RmIYbEwpDxT8KNrZtzJz1mIyRv7ZF2CS+7fnDx7pasojOZ6SpNAfBtwfpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:16:19.588841Z"},"content_sha256":"88fa07c63373d9e54182e4dd96fe20b23d6dc83a3e4a8f229e536bc005c39ae0","schema_version":"1.0","event_id":"sha256:88fa07c63373d9e54182e4dd96fe20b23d6dc83a3e4a8f229e536bc005c39ae0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YY66NUDFJBOD6ZGAUYFZZ7LDWK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin-selective electron transfer reactions of radical pairs: beyond the Haberkorn master equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"David E. Manolopoulos, Lachlan P. Lindoy, Thomas P. Fay","submitted_at":"2018-08-09T15:56:00Z","abstract_excerpt":"Radical pair recombination reactions are normally described using a quantum mechanical master equation for the electronic and nuclear spin density operator. The electron spin state selective (singlet and triplet) recombination processes are described with a Haberkorn reaction term in this master equation. Here we consider a general spin state selective electron transfer reaction of a radical pair and use Nakajima-Zwanzig theory to derive the master equation for the spin density operator, thereby elucidating the relationship between non-adiabatic reaction rate theory and the Haberkorn reaction "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03211","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":"2026-05-18T00:08:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zIZmhsIblMZabEUZiEqtNk928PK3mn/UX4p25mBAX4Gak3aRwt/pefRamOPvMH6gZPzncVyIHWSmg5nfJLOoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:16:19.589631Z"},"content_sha256":"9c6e6fea6bef5f9bd0b1b47ef8dc6f037ff610326537f6c9679a23007ebed8e5","schema_version":"1.0","event_id":"sha256:9c6e6fea6bef5f9bd0b1b47ef8dc6f037ff610326537f6c9679a23007ebed8e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YY66NUDFJBOD6ZGAUYFZZ7LDWK/bundle.json","state_url":"https://pith.science/pith/YY66NUDFJBOD6ZGAUYFZZ7LDWK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YY66NUDFJBOD6ZGAUYFZZ7LDWK/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":"2026-05-31T17:16:19Z","links":{"resolver":"https://pith.science/pith/YY66NUDFJBOD6ZGAUYFZZ7LDWK","bundle":"https://pith.science/pith/YY66NUDFJBOD6ZGAUYFZZ7LDWK/bundle.json","state":"https://pith.science/pith/YY66NUDFJBOD6ZGAUYFZZ7LDWK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YY66NUDFJBOD6ZGAUYFZZ7LDWK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YY66NUDFJBOD6ZGAUYFZZ7LDWK","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":"73d6c8d3265581a710b65590cb0b9a5835b60c81581922151027966407a1fad8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-08-09T15:56:00Z","title_canon_sha256":"5401587a9c2068b5c120fd4094d8bd3b96b04684813364849c06c450807c160c"},"schema_version":"1.0","source":{"id":"1808.03211","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03211","created_at":"2026-05-18T00:08:29Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03211v1","created_at":"2026-05-18T00:08:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03211","created_at":"2026-05-18T00:08:29Z"},{"alias_kind":"pith_short_12","alias_value":"YY66NUDFJBOD","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YY66NUDFJBOD6ZGA","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YY66NUDF","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:9c6e6fea6bef5f9bd0b1b47ef8dc6f037ff610326537f6c9679a23007ebed8e5","target":"graph","created_at":"2026-05-18T00:08:29Z","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":"Radical pair recombination reactions are normally described using a quantum mechanical master equation for the electronic and nuclear spin density operator. The electron spin state selective (singlet and triplet) recombination processes are described with a Haberkorn reaction term in this master equation. Here we consider a general spin state selective electron transfer reaction of a radical pair and use Nakajima-Zwanzig theory to derive the master equation for the spin density operator, thereby elucidating the relationship between non-adiabatic reaction rate theory and the Haberkorn reaction ","authors_text":"David E. Manolopoulos, Lachlan P. Lindoy, Thomas P. Fay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-08-09T15:56:00Z","title":"Spin-selective electron transfer reactions of radical pairs: beyond the Haberkorn master equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03211","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":"sha256:88fa07c63373d9e54182e4dd96fe20b23d6dc83a3e4a8f229e536bc005c39ae0","target":"record","created_at":"2026-05-18T00:08:29Z","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":"73d6c8d3265581a710b65590cb0b9a5835b60c81581922151027966407a1fad8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-08-09T15:56:00Z","title_canon_sha256":"5401587a9c2068b5c120fd4094d8bd3b96b04684813364849c06c450807c160c"},"schema_version":"1.0","source":{"id":"1808.03211","kind":"arxiv","version":1}},"canonical_sha256":"c63de6d065485c3f64c0a60b9cfd63b2945f824dd4be7abc92ee49beafb44574","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c63de6d065485c3f64c0a60b9cfd63b2945f824dd4be7abc92ee49beafb44574","first_computed_at":"2026-05-18T00:08:29.892945Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:29.892945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AybF+s4qZCAkeJWzXVQEEb0xP4jbcguWOV/VwggE5zfEHvEKcNrqQXFzhxfaX0uCch60BJ5X465BAeFay5JEBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:29.893299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.03211","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88fa07c63373d9e54182e4dd96fe20b23d6dc83a3e4a8f229e536bc005c39ae0","sha256:9c6e6fea6bef5f9bd0b1b47ef8dc6f037ff610326537f6c9679a23007ebed8e5"],"state_sha256":"44407bb4fccb28c54ef26cd5b030f152f491b5f3efafb430405d898b0277825c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jjaWROk/cAA5r3A5JSMyvUC5EVTz2Rami7b9553+bQhVJkZ5W/RcYkJ97UqTXMAGOw7wRHzW8omiIruoSf2iDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T17:16:19.593862Z","bundle_sha256":"b9c7b79f1e597fd4bca5d659097ff4268cd1ac857634b3d23aee8e17b47a8ff0"}}