{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:YK4BYNTS2V2X6PEMDAZ6JU4DN4","short_pith_number":"pith:YK4BYNTS","canonical_record":{"source":{"id":"2010.10806","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-10-21T07:54:56Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"4c36cce68331007bca09abdbae71d7ce6bdd6431d3c6ff085dfaab328423ecfc","abstract_canon_sha256":"8a8205cd1fee897b705ffba0cefecad49fde4dbf73fa460d4258803c2f464881"},"schema_version":"1.0"},"canonical_sha256":"c2b81c3672d5757f3c8c1833e4d3836f25b3bea5e9af42d76c2117554d2b67dd","source":{"kind":"arxiv","id":"2010.10806","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.10806","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"arxiv_version","alias_value":"2010.10806v3","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.10806","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"pith_short_12","alias_value":"YK4BYNTS2V2X","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"pith_short_16","alias_value":"YK4BYNTS2V2X6PEM","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"pith_short_8","alias_value":"YK4BYNTS","created_at":"2026-07-05T06:03:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:YK4BYNTS2V2X6PEMDAZ6JU4DN4","target":"record","payload":{"canonical_record":{"source":{"id":"2010.10806","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-10-21T07:54:56Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"4c36cce68331007bca09abdbae71d7ce6bdd6431d3c6ff085dfaab328423ecfc","abstract_canon_sha256":"8a8205cd1fee897b705ffba0cefecad49fde4dbf73fa460d4258803c2f464881"},"schema_version":"1.0"},"canonical_sha256":"c2b81c3672d5757f3c8c1833e4d3836f25b3bea5e9af42d76c2117554d2b67dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:03:51.176501Z","signature_b64":"7WbZL1t8HKLg++MfyjahbJjQVVuZzZULi95dpOB+9Oo61Ftdtkgwaa/cgA+R6sFQnzjuwz9QBR6pOPgNRE3oBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2b81c3672d5757f3c8c1833e4d3836f25b3bea5e9af42d76c2117554d2b67dd","last_reissued_at":"2026-07-05T06:03:51.176002Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:03:51.176002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.10806","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:03:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aPTROaQtAGMynMiwrgr4NeGNzHJNe+vc0qtNqXfvPs3sAIG5oSsRjmD7KrRBHsunpt1tP87yPiSS0y9hYoeUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T17:24:03.898040Z"},"content_sha256":"92dcebe3a90653fd15b4caa024db8d872068ded1df03713eb512ddc139d221df","schema_version":"1.0","event_id":"sha256:92dcebe3a90653fd15b4caa024db8d872068ded1df03713eb512ddc139d221df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:YK4BYNTS2V2X6PEMDAZ6JU4DN4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Alexander Pitchford, Daniel Burgarth, Franco Nori, Neill Lambert, Paul Menczel, Shahnawaz Ahmed, Simon Cross, Tarun Raheja","submitted_at":"2020-10-21T07:54:56Z","abstract_excerpt":"The \"hierarchical equations of motion\" (HEOM) method is a powerful exact numerical approach to solve the dynamics and find the steady-state of a quantum system coupled to a non-Markovian and non-perturbative environment. Originally developed in the context of physical chemistry, it has also been extended and applied to problems in solid-state physics, optics, single-molecule electronics, and biological physics. Here we present a numerical library in Python, integrated with the powerful QuTiP platform, which implements the HEOM for both bosonic and fermionic environments. We demonstrate its uti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.10806","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.10806/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:03:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yPeZYz8Vth7THLTG5fCACs7B+s/jBobUYcWP6cU5k4ze89Ntl6+D5aqq9lx8mF17ARYKb2bq42kGNOJJqxXAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T17:24:03.898634Z"},"content_sha256":"adbe3ff436940b9cbd4a35a78ed7ae76971af555c55af8b0e0b82750f5b63ce1","schema_version":"1.0","event_id":"sha256:adbe3ff436940b9cbd4a35a78ed7ae76971af555c55af8b0e0b82750f5b63ce1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YK4BYNTS2V2X6PEMDAZ6JU4DN4/bundle.json","state_url":"https://pith.science/pith/YK4BYNTS2V2X6PEMDAZ6JU4DN4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YK4BYNTS2V2X6PEMDAZ6JU4DN4/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":"2026-08-19T17:24:03Z","links":{"resolver":"https://pith.science/pith/YK4BYNTS2V2X6PEMDAZ6JU4DN4","bundle":"https://pith.science/pith/YK4BYNTS2V2X6PEMDAZ6JU4DN4/bundle.json","state":"https://pith.science/pith/YK4BYNTS2V2X6PEMDAZ6JU4DN4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YK4BYNTS2V2X6PEMDAZ6JU4DN4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:YK4BYNTS2V2X6PEMDAZ6JU4DN4","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":"8a8205cd1fee897b705ffba0cefecad49fde4dbf73fa460d4258803c2f464881","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-10-21T07:54:56Z","title_canon_sha256":"4c36cce68331007bca09abdbae71d7ce6bdd6431d3c6ff085dfaab328423ecfc"},"schema_version":"1.0","source":{"id":"2010.10806","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.10806","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"arxiv_version","alias_value":"2010.10806v3","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.10806","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"pith_short_12","alias_value":"YK4BYNTS2V2X","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"pith_short_16","alias_value":"YK4BYNTS2V2X6PEM","created_at":"2026-07-05T06:03:51Z"},{"alias_kind":"pith_short_8","alias_value":"YK4BYNTS","created_at":"2026-07-05T06:03:51Z"}],"graph_snapshots":[{"event_id":"sha256:adbe3ff436940b9cbd4a35a78ed7ae76971af555c55af8b0e0b82750f5b63ce1","target":"graph","created_at":"2026-07-05T06:03:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.10806/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The \"hierarchical equations of motion\" (HEOM) method is a powerful exact numerical approach to solve the dynamics and find the steady-state of a quantum system coupled to a non-Markovian and non-perturbative environment. Originally developed in the context of physical chemistry, it has also been extended and applied to problems in solid-state physics, optics, single-molecule electronics, and biological physics. Here we present a numerical library in Python, integrated with the powerful QuTiP platform, which implements the HEOM for both bosonic and fermionic environments. We demonstrate its uti","authors_text":"Alexander Pitchford, Daniel Burgarth, Franco Nori, Neill Lambert, Paul Menczel, Shahnawaz Ahmed, Simon Cross, Tarun Raheja","cross_cats":["physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-10-21T07:54:56Z","title":"QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.10806","kind":"arxiv","version":3},"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":"sha256:92dcebe3a90653fd15b4caa024db8d872068ded1df03713eb512ddc139d221df","target":"record","created_at":"2026-07-05T06:03:51Z","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":"8a8205cd1fee897b705ffba0cefecad49fde4dbf73fa460d4258803c2f464881","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-10-21T07:54:56Z","title_canon_sha256":"4c36cce68331007bca09abdbae71d7ce6bdd6431d3c6ff085dfaab328423ecfc"},"schema_version":"1.0","source":{"id":"2010.10806","kind":"arxiv","version":3}},"canonical_sha256":"c2b81c3672d5757f3c8c1833e4d3836f25b3bea5e9af42d76c2117554d2b67dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2b81c3672d5757f3c8c1833e4d3836f25b3bea5e9af42d76c2117554d2b67dd","first_computed_at":"2026-07-05T06:03:51.176002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:03:51.176002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7WbZL1t8HKLg++MfyjahbJjQVVuZzZULi95dpOB+9Oo61Ftdtkgwaa/cgA+R6sFQnzjuwz9QBR6pOPgNRE3oBA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:03:51.176501Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.10806","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92dcebe3a90653fd15b4caa024db8d872068ded1df03713eb512ddc139d221df","sha256:adbe3ff436940b9cbd4a35a78ed7ae76971af555c55af8b0e0b82750f5b63ce1"],"state_sha256":"eefb2b34cb60c87e91994b4aefd742b543bbe1b2a3b17ee941c1a834cccbe034"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h1IAZmkLLqyk7+ObdgwEg2sS2yJn1cAcM1hN+tH/0eJZT7HL5dCIFfKMEsbeJUYYeX987LZqPbg75Jjztq7bBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T17:24:03.902876Z","bundle_sha256":"e2275a8da999034d5c224a99bdb838054bbdb2d8b2551d6a6dda6dcebf951d4d"}}