{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:2F73TT5WDS2MSF5MBWRGKYM2EZ","short_pith_number":"pith:2F73TT5W","canonical_record":{"source":{"id":"2303.04175","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-03-07T19:00:18Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"7a2c96a6a6e9bc55f77675fca50f73f4b5d07fecd66444701e74409e9948f671","abstract_canon_sha256":"c401648444d9213724dd18d3dc8d10251af55b7cf0568e6d47d4f71e462f920f"},"schema_version":"1.0"},"canonical_sha256":"d17fb9cfb61cb4c917ac0da265619a264a1c98d633da03bdd4602011f40aaf35","source":{"kind":"arxiv","id":"2303.04175","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.04175","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"arxiv_version","alias_value":"2303.04175v2","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.04175","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"pith_short_12","alias_value":"2F73TT5WDS2M","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"pith_short_16","alias_value":"2F73TT5WDS2MSF5M","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"pith_short_8","alias_value":"2F73TT5W","created_at":"2026-07-05T07:23:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:2F73TT5WDS2MSF5MBWRGKYM2EZ","target":"record","payload":{"canonical_record":{"source":{"id":"2303.04175","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-03-07T19:00:18Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"7a2c96a6a6e9bc55f77675fca50f73f4b5d07fecd66444701e74409e9948f671","abstract_canon_sha256":"c401648444d9213724dd18d3dc8d10251af55b7cf0568e6d47d4f71e462f920f"},"schema_version":"1.0"},"canonical_sha256":"d17fb9cfb61cb4c917ac0da265619a264a1c98d633da03bdd4602011f40aaf35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:23:56.164813Z","signature_b64":"aEp11qCvqO9MTtDafZSIYjQEZ0L2HWh8wP8JQcO8sBE4HbzPDtoIAZKgOf9qZ34r0YDMlxo00kOYNQOR3Qj0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d17fb9cfb61cb4c917ac0da265619a264a1c98d633da03bdd4602011f40aaf35","last_reissued_at":"2026-07-05T07:23:56.164301Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:23:56.164301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.04175","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:23:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ocy+ZG0gvo2tw/ta84jliCJ5aQjq3TAXCMRiWlMJ2LtmvvUdxlw+wx6iH39bL5O/d7CoOpWJbgexHiaoeeMeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T20:40:33.916228Z"},"content_sha256":"dea1240db24e4263935fc0fc58e9dbc151cc454243652218837e03df9a5d80d4","schema_version":"1.0","event_id":"sha256:dea1240db24e4263935fc0fc58e9dbc151cc454243652218837e03df9a5d80d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:2F73TT5WDS2MSF5MBWRGKYM2EZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Krylov complexity in open systems: an approach via bi-Lanczos algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Aranya Bhattacharya, Himanshu Sahu, Pingal Pratyush Nath, Pratik Nandy","submitted_at":"2023-03-07T19:00:18Z","abstract_excerpt":"Continuing the previous initiatives arXiv: 2207.05347 and arXiv: 2212.06180, we pursue the exploration of operator growth and Krylov complexity in dissipative open quantum systems. In this paper, we resort to the bi-Lanczos algorithm generating two bi-orthogonal Krylov spaces, which individually generate non-orthogonal subspaces. Unlike the previously studied Arnoldi iteration, this algorithm renders the Lindbladian into a purely tridiagonal form, thus opening up a possibility to study a wide class of dissipative integrable and chaotic systems by computing Krylov complexity at late times. Our "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.04175","kind":"arxiv","version":2},"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/2303.04175/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":"2026-07-05T07:23:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"noV2Msl7t2XtEeQAqzPPdcw+NUQCYXjdKx3QKZ7qmDvsR+bpSS9RIGyNSu+D3Y8gifwRrivtl7bDZehxfXxiBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T20:40:33.916617Z"},"content_sha256":"96b3045f0192c07bf24c1941673e905f21063db4a394e384460428eb0a6b9501","schema_version":"1.0","event_id":"sha256:96b3045f0192c07bf24c1941673e905f21063db4a394e384460428eb0a6b9501"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2F73TT5WDS2MSF5MBWRGKYM2EZ/bundle.json","state_url":"https://pith.science/pith/2F73TT5WDS2MSF5MBWRGKYM2EZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2F73TT5WDS2MSF5MBWRGKYM2EZ/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":"2026-07-08T20:40:33Z","links":{"resolver":"https://pith.science/pith/2F73TT5WDS2MSF5MBWRGKYM2EZ","bundle":"https://pith.science/pith/2F73TT5WDS2MSF5MBWRGKYM2EZ/bundle.json","state":"https://pith.science/pith/2F73TT5WDS2MSF5MBWRGKYM2EZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2F73TT5WDS2MSF5MBWRGKYM2EZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2F73TT5WDS2MSF5MBWRGKYM2EZ","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":"c401648444d9213724dd18d3dc8d10251af55b7cf0568e6d47d4f71e462f920f","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-03-07T19:00:18Z","title_canon_sha256":"7a2c96a6a6e9bc55f77675fca50f73f4b5d07fecd66444701e74409e9948f671"},"schema_version":"1.0","source":{"id":"2303.04175","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.04175","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"arxiv_version","alias_value":"2303.04175v2","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.04175","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"pith_short_12","alias_value":"2F73TT5WDS2M","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"pith_short_16","alias_value":"2F73TT5WDS2MSF5M","created_at":"2026-07-05T07:23:56Z"},{"alias_kind":"pith_short_8","alias_value":"2F73TT5W","created_at":"2026-07-05T07:23:56Z"}],"graph_snapshots":[{"event_id":"sha256:96b3045f0192c07bf24c1941673e905f21063db4a394e384460428eb0a6b9501","target":"graph","created_at":"2026-07-05T07:23:56Z","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/2303.04175/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Continuing the previous initiatives arXiv: 2207.05347 and arXiv: 2212.06180, we pursue the exploration of operator growth and Krylov complexity in dissipative open quantum systems. In this paper, we resort to the bi-Lanczos algorithm generating two bi-orthogonal Krylov spaces, which individually generate non-orthogonal subspaces. Unlike the previously studied Arnoldi iteration, this algorithm renders the Lindbladian into a purely tridiagonal form, thus opening up a possibility to study a wide class of dissipative integrable and chaotic systems by computing Krylov complexity at late times. Our ","authors_text":"Aranya Bhattacharya, Himanshu Sahu, Pingal Pratyush Nath, Pratik Nandy","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-03-07T19:00:18Z","title":"On Krylov complexity in open systems: an approach via bi-Lanczos algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.04175","kind":"arxiv","version":2},"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:dea1240db24e4263935fc0fc58e9dbc151cc454243652218837e03df9a5d80d4","target":"record","created_at":"2026-07-05T07:23:56Z","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":"c401648444d9213724dd18d3dc8d10251af55b7cf0568e6d47d4f71e462f920f","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-03-07T19:00:18Z","title_canon_sha256":"7a2c96a6a6e9bc55f77675fca50f73f4b5d07fecd66444701e74409e9948f671"},"schema_version":"1.0","source":{"id":"2303.04175","kind":"arxiv","version":2}},"canonical_sha256":"d17fb9cfb61cb4c917ac0da265619a264a1c98d633da03bdd4602011f40aaf35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d17fb9cfb61cb4c917ac0da265619a264a1c98d633da03bdd4602011f40aaf35","first_computed_at":"2026-07-05T07:23:56.164301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:23:56.164301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aEp11qCvqO9MTtDafZSIYjQEZ0L2HWh8wP8JQcO8sBE4HbzPDtoIAZKgOf9qZ34r0YDMlxo00kOYNQOR3Qj0AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:23:56.164813Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.04175","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dea1240db24e4263935fc0fc58e9dbc151cc454243652218837e03df9a5d80d4","sha256:96b3045f0192c07bf24c1941673e905f21063db4a394e384460428eb0a6b9501"],"state_sha256":"72b45a2fdb82882fb77977e87ebeea4e86063c2d2d79bf991b4fcb9a69c27a2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oDi4JtVouhjPqKExTG5TJY54lQGHsI4wwpv9WhpNtF0Od7mCVfkfHuHJx81+G1obf6Pqtnqgwhij5mf1QsUzCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T20:40:33.918601Z","bundle_sha256":"b1bded92b211f80bfb963d201df3ee7b0801fc631f3ca807e0047a70756ed7db"}}