{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PIP62UZ5AGSEOQZHQV23GMCCWC","short_pith_number":"pith:PIP62UZ5","canonical_record":{"source":{"id":"1810.11144","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-26T00:00:12Z","cross_cats_sorted":[],"title_canon_sha256":"84bb08449ee041263958b9061066a22cdc0c93b7d03f2819b601e6c219c7876f","abstract_canon_sha256":"5eeea357f8d9a816fa22c812421a2946a6630703c0e70df45be590f38f068658"},"schema_version":"1.0"},"canonical_sha256":"7a1fed533d01a44743278575b33042b0812e2fec40c53cf873374af6d5ef8f61","source":{"kind":"arxiv","id":"1810.11144","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.11144","created_at":"2026-05-18T00:02:15Z"},{"alias_kind":"arxiv_version","alias_value":"1810.11144v1","created_at":"2026-05-18T00:02:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11144","created_at":"2026-05-18T00:02:15Z"},{"alias_kind":"pith_short_12","alias_value":"PIP62UZ5AGSE","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PIP62UZ5AGSEOQZH","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PIP62UZ5","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PIP62UZ5AGSEOQZHQV23GMCCWC","target":"record","payload":{"canonical_record":{"source":{"id":"1810.11144","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-26T00:00:12Z","cross_cats_sorted":[],"title_canon_sha256":"84bb08449ee041263958b9061066a22cdc0c93b7d03f2819b601e6c219c7876f","abstract_canon_sha256":"5eeea357f8d9a816fa22c812421a2946a6630703c0e70df45be590f38f068658"},"schema_version":"1.0"},"canonical_sha256":"7a1fed533d01a44743278575b33042b0812e2fec40c53cf873374af6d5ef8f61","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:15.089424Z","signature_b64":"7lu+wRDU44a//WZd3oUlsyOeL2D7x5E2e1TpssbO96q1q0HTMb95FLZAn2tFHQaPuF3B1QIltn+oThceflvDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a1fed533d01a44743278575b33042b0812e2fec40c53cf873374af6d5ef8f61","last_reissued_at":"2026-05-18T00:02:15.088841Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:15.088841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.11144","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":"2026-05-18T00:02:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eylEd/jF6Gd5RrAEzbqqjWQxzdLg4sNx1LOidlwGlRETej9bvjn3pI9TIVU7pMM5WTwiQDortYCrWnaGJ/e7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:27:44.079969Z"},"content_sha256":"c459d4475ad827f31694c2e05f9a44cde36427d968b279a2f3642fe92285a986","schema_version":"1.0","event_id":"sha256:c459d4475ad827f31694c2e05f9a44cde36427d968b279a2f3642fe92285a986"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PIP62UZ5AGSEOQZHQV23GMCCWC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Trees, Forests, and Stationary States of Quantum Lindblad Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Anthony M. Bloch, Chitra Rangan, Patrick Rooney","submitted_at":"2018-10-26T00:00:12Z","abstract_excerpt":"In this paper, we study the stationary orbits of quantum Lindblad systems. We show that they can be characterized in terms of trees and forests on a directed graph with edge weights that depend on the Lindblad operators and the eigenbasis of the density operator. For a certain class of typical Lindblad systems, this characterization can be used to find the asymptotic end-states. There is a unique end-state for each basin of the graph (the strongly connected components with no outgoing edges). In most cases, every asymptotic end-state must be a linear combination thereof, but we prove necessary"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11144","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":"2026-05-18T00:02:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kkudjnbdImd6MSIQiDGg0/mpeedZ21BuPPwV2Tkr/AYjD0J9NyiJ8944JZnlI+ygf0qmgUEy5TUSBU+Fdkl7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:27:44.080304Z"},"content_sha256":"22a45b0b7227533f0ea2a06da121311449b6c7c72ddf769849f156e35b1026d9","schema_version":"1.0","event_id":"sha256:22a45b0b7227533f0ea2a06da121311449b6c7c72ddf769849f156e35b1026d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PIP62UZ5AGSEOQZHQV23GMCCWC/bundle.json","state_url":"https://pith.science/pith/PIP62UZ5AGSEOQZHQV23GMCCWC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PIP62UZ5AGSEOQZHQV23GMCCWC/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":"2026-06-25T23:27:44Z","links":{"resolver":"https://pith.science/pith/PIP62UZ5AGSEOQZHQV23GMCCWC","bundle":"https://pith.science/pith/PIP62UZ5AGSEOQZHQV23GMCCWC/bundle.json","state":"https://pith.science/pith/PIP62UZ5AGSEOQZHQV23GMCCWC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PIP62UZ5AGSEOQZHQV23GMCCWC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PIP62UZ5AGSEOQZHQV23GMCCWC","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":"5eeea357f8d9a816fa22c812421a2946a6630703c0e70df45be590f38f068658","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-26T00:00:12Z","title_canon_sha256":"84bb08449ee041263958b9061066a22cdc0c93b7d03f2819b601e6c219c7876f"},"schema_version":"1.0","source":{"id":"1810.11144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.11144","created_at":"2026-05-18T00:02:15Z"},{"alias_kind":"arxiv_version","alias_value":"1810.11144v1","created_at":"2026-05-18T00:02:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11144","created_at":"2026-05-18T00:02:15Z"},{"alias_kind":"pith_short_12","alias_value":"PIP62UZ5AGSE","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PIP62UZ5AGSEOQZH","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PIP62UZ5","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:22a45b0b7227533f0ea2a06da121311449b6c7c72ddf769849f156e35b1026d9","target":"graph","created_at":"2026-05-18T00:02:15Z","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":"In this paper, we study the stationary orbits of quantum Lindblad systems. We show that they can be characterized in terms of trees and forests on a directed graph with edge weights that depend on the Lindblad operators and the eigenbasis of the density operator. For a certain class of typical Lindblad systems, this characterization can be used to find the asymptotic end-states. There is a unique end-state for each basin of the graph (the strongly connected components with no outgoing edges). In most cases, every asymptotic end-state must be a linear combination thereof, but we prove necessary","authors_text":"Anthony M. Bloch, Chitra Rangan, Patrick Rooney","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-26T00:00:12Z","title":"Trees, Forests, and Stationary States of Quantum Lindblad Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11144","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:c459d4475ad827f31694c2e05f9a44cde36427d968b279a2f3642fe92285a986","target":"record","created_at":"2026-05-18T00:02:15Z","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":"5eeea357f8d9a816fa22c812421a2946a6630703c0e70df45be590f38f068658","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-26T00:00:12Z","title_canon_sha256":"84bb08449ee041263958b9061066a22cdc0c93b7d03f2819b601e6c219c7876f"},"schema_version":"1.0","source":{"id":"1810.11144","kind":"arxiv","version":1}},"canonical_sha256":"7a1fed533d01a44743278575b33042b0812e2fec40c53cf873374af6d5ef8f61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a1fed533d01a44743278575b33042b0812e2fec40c53cf873374af6d5ef8f61","first_computed_at":"2026-05-18T00:02:15.088841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:15.088841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7lu+wRDU44a//WZd3oUlsyOeL2D7x5E2e1TpssbO96q1q0HTMb95FLZAn2tFHQaPuF3B1QIltn+oThceflvDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:15.089424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.11144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c459d4475ad827f31694c2e05f9a44cde36427d968b279a2f3642fe92285a986","sha256:22a45b0b7227533f0ea2a06da121311449b6c7c72ddf769849f156e35b1026d9"],"state_sha256":"1be412f66571a5c5bdb2433f78583132c037bc46fc09a9814df26c49b30a1c96"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qKsf8NhRJO7T1M2daMmkDEYpqrOhG7i0iDnOmIV8FAzpBpeHSku6Z56bf1iYKag/5OQxEGfFG1qVkq2gDwWSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T23:27:44.082228Z","bundle_sha256":"c26aeb2ce259360703396c34e099f3c3370d1f2a0170dfd3024ba0465234edf4"}}