{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:R5RZE2EAPKTCIJENJFL6YMN2BF","short_pith_number":"pith:R5RZE2EA","canonical_record":{"source":{"id":"1306.1980","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-06-09T04:27:00Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"0d45a3446a1f10019aedd77b450b5663ec13f4bc4ee2eb62073d80cd329e819d","abstract_canon_sha256":"5b5b5346b5b48e6537672b66a23da42c478664574a96b91f796d746e8d129f7b"},"schema_version":"1.0"},"canonical_sha256":"8f639268807aa624248d4957ec31ba095b98616cce32303eda992d30ed7f1b84","source":{"kind":"arxiv","id":"1306.1980","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1980","created_at":"2026-05-18T03:21:22Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1980v1","created_at":"2026-05-18T03:21:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1980","created_at":"2026-05-18T03:21:22Z"},{"alias_kind":"pith_short_12","alias_value":"R5RZE2EAPKTC","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"R5RZE2EAPKTCIJEN","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"R5RZE2EA","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:R5RZE2EAPKTCIJENJFL6YMN2BF","target":"record","payload":{"canonical_record":{"source":{"id":"1306.1980","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-06-09T04:27:00Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"0d45a3446a1f10019aedd77b450b5663ec13f4bc4ee2eb62073d80cd329e819d","abstract_canon_sha256":"5b5b5346b5b48e6537672b66a23da42c478664574a96b91f796d746e8d129f7b"},"schema_version":"1.0"},"canonical_sha256":"8f639268807aa624248d4957ec31ba095b98616cce32303eda992d30ed7f1b84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:22.712698Z","signature_b64":"YfGYER9jnEL15wW0YRiQLuOFhc5ab5ZxWRpS+zk306lQpuBfSiXDElhQYBO9QLv0hCX0iX8/z1fvBhxm8lEiBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f639268807aa624248d4957ec31ba095b98616cce32303eda992d30ed7f1b84","last_reissued_at":"2026-05-18T03:21:22.712090Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:22.712090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.1980","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":"2026-05-18T03:21:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fjCb4yHyovvKRj+KmKQstFdXoT33j5ELkbosZFwfvWgR67idWZxEt8J9jhzhftR3/tftZy/plrn0a8xES+yRAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T05:20:16.248300Z"},"content_sha256":"7b3c6cfb7ca10195083e83249403c73ed336fba9224834baa9cbef0dd5a57d3f","schema_version":"1.0","event_id":"sha256:7b3c6cfb7ca10195083e83249403c73ed336fba9224834baa9cbef0dd5a57d3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:R5RZE2EAPKTCIJENJFL6YMN2BF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Marcus rate for electron transfer and the Goldilocks principle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Lev Mourokh, Seth Lloyd","submitted_at":"2013-06-09T04:27:00Z","abstract_excerpt":"We examine electron transfer between two quantum states in the presence of a dissipative environment represented as a set of independent harmonic oscillators. For this simple model, the Marcus transfer rates can be derived and we show that these rates are associated to an explicit expression for the environment correlation time. We demonstrate that as a manifestation of the Goldilocks principle, the optimal transfer is governed by a single parameter which is equal to just the inverse root square of two."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1980","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":"2026-05-18T03:21:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gWG27bmmFptRCVzkiQCOpSoHrt7QdKnxh4EwEiGpOEC1YsH1eFJ5G3wywppptwh6kUQzl/hzSG5lk/KvvWCBAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T05:20:16.248871Z"},"content_sha256":"a4bf5b01f9fc9ec1135b6e98e306b655685a853cc65e5a65b16118973028b2c8","schema_version":"1.0","event_id":"sha256:a4bf5b01f9fc9ec1135b6e98e306b655685a853cc65e5a65b16118973028b2c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R5RZE2EAPKTCIJENJFL6YMN2BF/bundle.json","state_url":"https://pith.science/pith/R5RZE2EAPKTCIJENJFL6YMN2BF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R5RZE2EAPKTCIJENJFL6YMN2BF/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":"2026-06-12T05:20:16Z","links":{"resolver":"https://pith.science/pith/R5RZE2EAPKTCIJENJFL6YMN2BF","bundle":"https://pith.science/pith/R5RZE2EAPKTCIJENJFL6YMN2BF/bundle.json","state":"https://pith.science/pith/R5RZE2EAPKTCIJENJFL6YMN2BF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R5RZE2EAPKTCIJENJFL6YMN2BF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:R5RZE2EAPKTCIJENJFL6YMN2BF","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":"5b5b5346b5b48e6537672b66a23da42c478664574a96b91f796d746e8d129f7b","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-06-09T04:27:00Z","title_canon_sha256":"0d45a3446a1f10019aedd77b450b5663ec13f4bc4ee2eb62073d80cd329e819d"},"schema_version":"1.0","source":{"id":"1306.1980","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1980","created_at":"2026-05-18T03:21:22Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1980v1","created_at":"2026-05-18T03:21:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1980","created_at":"2026-05-18T03:21:22Z"},{"alias_kind":"pith_short_12","alias_value":"R5RZE2EAPKTC","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"R5RZE2EAPKTCIJEN","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"R5RZE2EA","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:a4bf5b01f9fc9ec1135b6e98e306b655685a853cc65e5a65b16118973028b2c8","target":"graph","created_at":"2026-05-18T03:21:22Z","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 examine electron transfer between two quantum states in the presence of a dissipative environment represented as a set of independent harmonic oscillators. For this simple model, the Marcus transfer rates can be derived and we show that these rates are associated to an explicit expression for the environment correlation time. We demonstrate that as a manifestation of the Goldilocks principle, the optimal transfer is governed by a single parameter which is equal to just the inverse root square of two.","authors_text":"Lev Mourokh, Seth Lloyd","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-06-09T04:27:00Z","title":"Marcus rate for electron transfer and the Goldilocks principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1980","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":"sha256:7b3c6cfb7ca10195083e83249403c73ed336fba9224834baa9cbef0dd5a57d3f","target":"record","created_at":"2026-05-18T03:21:22Z","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":"5b5b5346b5b48e6537672b66a23da42c478664574a96b91f796d746e8d129f7b","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-06-09T04:27:00Z","title_canon_sha256":"0d45a3446a1f10019aedd77b450b5663ec13f4bc4ee2eb62073d80cd329e819d"},"schema_version":"1.0","source":{"id":"1306.1980","kind":"arxiv","version":1}},"canonical_sha256":"8f639268807aa624248d4957ec31ba095b98616cce32303eda992d30ed7f1b84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f639268807aa624248d4957ec31ba095b98616cce32303eda992d30ed7f1b84","first_computed_at":"2026-05-18T03:21:22.712090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:22.712090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YfGYER9jnEL15wW0YRiQLuOFhc5ab5ZxWRpS+zk306lQpuBfSiXDElhQYBO9QLv0hCX0iX8/z1fvBhxm8lEiBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:22.712698Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1980","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b3c6cfb7ca10195083e83249403c73ed336fba9224834baa9cbef0dd5a57d3f","sha256:a4bf5b01f9fc9ec1135b6e98e306b655685a853cc65e5a65b16118973028b2c8"],"state_sha256":"5c03d8995551fbc1d124a7329328817b26fc7b52506563197f86f509aa67d5b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TFZ5pT+h4YAgjXsuuXUloqJZ5QUyDpJbJ6tVq3AB6rf/qtEB5/bl0yKYZcNHokzlu/ZNe+puJnifbyrE7rd0DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T05:20:16.251695Z","bundle_sha256":"da97040b3733bb3a2e209eedaf26fe06d28ec7fdde9c90ebf42e01af1fd76e73"}}