{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:4RYTBAQ6NOH5ZM2M5Y2ABGQXN6","short_pith_number":"pith:4RYTBAQ6","canonical_record":{"source":{"id":"0906.3281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-17T19:19:40Z","cross_cats_sorted":[],"title_canon_sha256":"d144d7fafa560e833f80a9b04df40f3464cdfb0d924b16222f1fd47e1222d567","abstract_canon_sha256":"7f0e47d479a656cc0b71237fc9bcafc81cdc691dff15caf5eb772fa160dbf146"},"schema_version":"1.0"},"canonical_sha256":"e47130821e6b8fdcb34cee34009a176f8af1ae7c5e34ef2646ef5823d55637bd","source":{"kind":"arxiv","id":"0906.3281","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.3281","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"arxiv_version","alias_value":"0906.3281v1","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.3281","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"pith_short_12","alias_value":"4RYTBAQ6NOH5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"4RYTBAQ6NOH5ZM2M","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"4RYTBAQ6","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:4RYTBAQ6NOH5ZM2M5Y2ABGQXN6","target":"record","payload":{"canonical_record":{"source":{"id":"0906.3281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-17T19:19:40Z","cross_cats_sorted":[],"title_canon_sha256":"d144d7fafa560e833f80a9b04df40f3464cdfb0d924b16222f1fd47e1222d567","abstract_canon_sha256":"7f0e47d479a656cc0b71237fc9bcafc81cdc691dff15caf5eb772fa160dbf146"},"schema_version":"1.0"},"canonical_sha256":"e47130821e6b8fdcb34cee34009a176f8af1ae7c5e34ef2646ef5823d55637bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:19.294529Z","signature_b64":"lj0x6yIMZ32S0hVkhxzTAYVj//w6T3Uu37O7cTBRsNIs0pt0cDyQhbaH/mzGQjPl8jk6iQQKLvTFeFo/QdFPAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e47130821e6b8fdcb34cee34009a176f8af1ae7c5e34ef2646ef5823d55637bd","last_reissued_at":"2026-05-18T02:13:19.294047Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:19.294047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.3281","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":"2026-05-18T02:13:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lVWNgLxvFqg8F8xHGsVFCzFSce9OrLfhwUDCLc/jvFOtgR2U2ox5jNRXvNWQl8ev9FX7a0hZRXg2OzG5aL0oCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:03:07.592745Z"},"content_sha256":"8d47453297ee47ed6dadafcfe747cbffd5eb36d0f7981aadf1e81ee94a52ba3b","schema_version":"1.0","event_id":"sha256:8d47453297ee47ed6dadafcfe747cbffd5eb36d0f7981aadf1e81ee94a52ba3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:4RYTBAQ6NOH5ZM2M5Y2ABGQXN6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-state flashing molecular pump","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Gomez-Marin, J. M. Sancho","submitted_at":"2009-06-17T19:19:40Z","abstract_excerpt":"Here we study a pumping device capable of maintaining a density gradient and a flux of particles across a membrane. Its driving mechanism is based on the flashing ratchet effect powered by the random telegraph process in the presence of thermal fluctuations. Unlike Brownian motors, the concentrations at both reservoir boundaries need to be implemented as boundary conditions. The residence transition rates of the dichotomic flashing are related to the binding and hydrolysis of ATP molecules. The model is exactly solved and explored. The pump energetics is discussed and the relevant parameter va"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.3281","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":"2026-05-18T02:13:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dzXTH0nFx1AxNvYargDvGMdaF4pBAHcv0q86Tpe13U9weLPZD8buJY2inkBz/4ZFaW43dsVtnfG7+vaXJsB3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:03:07.593418Z"},"content_sha256":"8fe70ea1ff2f84c239c34693c440171850d31814e58e844497e4b0c258f42595","schema_version":"1.0","event_id":"sha256:8fe70ea1ff2f84c239c34693c440171850d31814e58e844497e4b0c258f42595"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4RYTBAQ6NOH5ZM2M5Y2ABGQXN6/bundle.json","state_url":"https://pith.science/pith/4RYTBAQ6NOH5ZM2M5Y2ABGQXN6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4RYTBAQ6NOH5ZM2M5Y2ABGQXN6/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":"2026-05-27T00:03:07Z","links":{"resolver":"https://pith.science/pith/4RYTBAQ6NOH5ZM2M5Y2ABGQXN6","bundle":"https://pith.science/pith/4RYTBAQ6NOH5ZM2M5Y2ABGQXN6/bundle.json","state":"https://pith.science/pith/4RYTBAQ6NOH5ZM2M5Y2ABGQXN6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4RYTBAQ6NOH5ZM2M5Y2ABGQXN6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:4RYTBAQ6NOH5ZM2M5Y2ABGQXN6","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":"7f0e47d479a656cc0b71237fc9bcafc81cdc691dff15caf5eb772fa160dbf146","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-17T19:19:40Z","title_canon_sha256":"d144d7fafa560e833f80a9b04df40f3464cdfb0d924b16222f1fd47e1222d567"},"schema_version":"1.0","source":{"id":"0906.3281","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.3281","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"arxiv_version","alias_value":"0906.3281v1","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.3281","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"pith_short_12","alias_value":"4RYTBAQ6NOH5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"4RYTBAQ6NOH5ZM2M","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"4RYTBAQ6","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:8fe70ea1ff2f84c239c34693c440171850d31814e58e844497e4b0c258f42595","target":"graph","created_at":"2026-05-18T02:13:19Z","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":"Here we study a pumping device capable of maintaining a density gradient and a flux of particles across a membrane. Its driving mechanism is based on the flashing ratchet effect powered by the random telegraph process in the presence of thermal fluctuations. Unlike Brownian motors, the concentrations at both reservoir boundaries need to be implemented as boundary conditions. The residence transition rates of the dichotomic flashing are related to the binding and hydrolysis of ATP molecules. The model is exactly solved and explored. The pump energetics is discussed and the relevant parameter va","authors_text":"A. Gomez-Marin, J. M. Sancho","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-17T19:19:40Z","title":"Two-state flashing molecular pump"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.3281","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":"sha256:8d47453297ee47ed6dadafcfe747cbffd5eb36d0f7981aadf1e81ee94a52ba3b","target":"record","created_at":"2026-05-18T02:13:19Z","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":"7f0e47d479a656cc0b71237fc9bcafc81cdc691dff15caf5eb772fa160dbf146","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-17T19:19:40Z","title_canon_sha256":"d144d7fafa560e833f80a9b04df40f3464cdfb0d924b16222f1fd47e1222d567"},"schema_version":"1.0","source":{"id":"0906.3281","kind":"arxiv","version":1}},"canonical_sha256":"e47130821e6b8fdcb34cee34009a176f8af1ae7c5e34ef2646ef5823d55637bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e47130821e6b8fdcb34cee34009a176f8af1ae7c5e34ef2646ef5823d55637bd","first_computed_at":"2026-05-18T02:13:19.294047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:19.294047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lj0x6yIMZ32S0hVkhxzTAYVj//w6T3Uu37O7cTBRsNIs0pt0cDyQhbaH/mzGQjPl8jk6iQQKLvTFeFo/QdFPAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:19.294529Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.3281","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d47453297ee47ed6dadafcfe747cbffd5eb36d0f7981aadf1e81ee94a52ba3b","sha256:8fe70ea1ff2f84c239c34693c440171850d31814e58e844497e4b0c258f42595"],"state_sha256":"c92e4a63d5aa515c9b26b56599f6f338f01104e94c149eb43adb78498deb5724"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xxS2LjRhuJ+Qg/Cw4p74Ts+CUIDDlJDBwzr9e3JZK7DCLbvNZ9kcLJg/xQom9p7yezF9hFp+DK6eOFYHf0+AAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:03:07.596222Z","bundle_sha256":"8b6f376b0977bace1ce59f24abee7acfe6c842030061e982175c8fd99e6227fb"}}