{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UGU2OTFPE5MWGP5AKIQ6UIJCXM","short_pith_number":"pith:UGU2OTFP","canonical_record":{"source":{"id":"1312.1167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-04T14:08:23Z","cross_cats_sorted":[],"title_canon_sha256":"15a1618c994bb012cb63eb624a14444284b377e75b7e8a372d4cda7df20524fd","abstract_canon_sha256":"3a111a73e2ec6d4f68e6899becf48aefa273ea1783762d7ead1b2affc1424926"},"schema_version":"1.0"},"canonical_sha256":"a1a9a74caf2759633fa05221ea2122bb2e4d6c58645c9f395b4ed2e797c425f3","source":{"kind":"arxiv","id":"1312.1167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1167","created_at":"2026-05-18T02:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1167v1","created_at":"2026-05-18T02:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1167","created_at":"2026-05-18T02:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"UGU2OTFPE5MW","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UGU2OTFPE5MWGP5A","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UGU2OTFP","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UGU2OTFPE5MWGP5AKIQ6UIJCXM","target":"record","payload":{"canonical_record":{"source":{"id":"1312.1167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-04T14:08:23Z","cross_cats_sorted":[],"title_canon_sha256":"15a1618c994bb012cb63eb624a14444284b377e75b7e8a372d4cda7df20524fd","abstract_canon_sha256":"3a111a73e2ec6d4f68e6899becf48aefa273ea1783762d7ead1b2affc1424926"},"schema_version":"1.0"},"canonical_sha256":"a1a9a74caf2759633fa05221ea2122bb2e4d6c58645c9f395b4ed2e797c425f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:58.233269Z","signature_b64":"imf/Vdk8WzZWHM8o2j9ibagZt+t54h4J0blNhFGNjYmqH0azZtDypp8Ooo6PqihiU/epV5cUG5CUs26BGPR7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1a9a74caf2759633fa05221ea2122bb2e4d6c58645c9f395b4ed2e797c425f3","last_reissued_at":"2026-05-18T02:56:58.232757Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:58.232757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.1167","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":"2026-05-18T02:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PUyCUGyNBWyBZ+alzPucMF3s21vU70lkegbvQmQpglKj4O+8hWtlTvSZ9VDQQjIkIOGCS6XBF5oLbXkcte7ZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:22:56.426111Z"},"content_sha256":"36693b950288e2c48fc8cc3d23f3b56fc2d1defc311df5ce14f2060a2d5b52da","schema_version":"1.0","event_id":"sha256:36693b950288e2c48fc8cc3d23f3b56fc2d1defc311df5ce14f2060a2d5b52da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UGU2OTFPE5MWGP5AKIQ6UIJCXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimally Convergent Quantum Jump Expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Felix Lucas, Klaus Hornberger","submitted_at":"2013-12-04T14:08:23Z","abstract_excerpt":"A method for deriving accurate analytic approximations for Markovian open quantum systems was recently introduced in [F. Lucas and K. Hornberger, Phys. Rev. Lett. 110, 240401 (2013)]. Here, we present a detailed derivation of the underlying non-perturbative jump expansion, which involves an adaptive resummation to ensure optimal convergence. Applying this to a set of exemplary master equations, we find that the resummation typically leads to convergence within the lowest two to five orders. Besides facilitating analytic approximations, the optimal jump expansion thus provides a numerical schem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1167","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":"2026-05-18T02:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hTfhPda10TTORlRteD/KZtgC2WkwBVXB5n3YICg+cpOs9XaeLayGjMTiY1DZE3ukKvVGHIjSJS1N53hAajaiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:22:56.426872Z"},"content_sha256":"7620bca19a9d8d32f95cafc473a6fd202e3ee15ed2e71cd6814a9cb0001d32b2","schema_version":"1.0","event_id":"sha256:7620bca19a9d8d32f95cafc473a6fd202e3ee15ed2e71cd6814a9cb0001d32b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGU2OTFPE5MWGP5AKIQ6UIJCXM/bundle.json","state_url":"https://pith.science/pith/UGU2OTFPE5MWGP5AKIQ6UIJCXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGU2OTFPE5MWGP5AKIQ6UIJCXM/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":"2026-06-10T01:22:56Z","links":{"resolver":"https://pith.science/pith/UGU2OTFPE5MWGP5AKIQ6UIJCXM","bundle":"https://pith.science/pith/UGU2OTFPE5MWGP5AKIQ6UIJCXM/bundle.json","state":"https://pith.science/pith/UGU2OTFPE5MWGP5AKIQ6UIJCXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGU2OTFPE5MWGP5AKIQ6UIJCXM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UGU2OTFPE5MWGP5AKIQ6UIJCXM","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":"3a111a73e2ec6d4f68e6899becf48aefa273ea1783762d7ead1b2affc1424926","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-04T14:08:23Z","title_canon_sha256":"15a1618c994bb012cb63eb624a14444284b377e75b7e8a372d4cda7df20524fd"},"schema_version":"1.0","source":{"id":"1312.1167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1167","created_at":"2026-05-18T02:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1167v1","created_at":"2026-05-18T02:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1167","created_at":"2026-05-18T02:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"UGU2OTFPE5MW","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UGU2OTFPE5MWGP5A","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UGU2OTFP","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:7620bca19a9d8d32f95cafc473a6fd202e3ee15ed2e71cd6814a9cb0001d32b2","target":"graph","created_at":"2026-05-18T02:56:58Z","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":"A method for deriving accurate analytic approximations for Markovian open quantum systems was recently introduced in [F. Lucas and K. Hornberger, Phys. Rev. Lett. 110, 240401 (2013)]. Here, we present a detailed derivation of the underlying non-perturbative jump expansion, which involves an adaptive resummation to ensure optimal convergence. Applying this to a set of exemplary master equations, we find that the resummation typically leads to convergence within the lowest two to five orders. Besides facilitating analytic approximations, the optimal jump expansion thus provides a numerical schem","authors_text":"Felix Lucas, Klaus Hornberger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-04T14:08:23Z","title":"Optimally Convergent Quantum Jump Expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1167","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":"sha256:36693b950288e2c48fc8cc3d23f3b56fc2d1defc311df5ce14f2060a2d5b52da","target":"record","created_at":"2026-05-18T02:56:58Z","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":"3a111a73e2ec6d4f68e6899becf48aefa273ea1783762d7ead1b2affc1424926","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-04T14:08:23Z","title_canon_sha256":"15a1618c994bb012cb63eb624a14444284b377e75b7e8a372d4cda7df20524fd"},"schema_version":"1.0","source":{"id":"1312.1167","kind":"arxiv","version":1}},"canonical_sha256":"a1a9a74caf2759633fa05221ea2122bb2e4d6c58645c9f395b4ed2e797c425f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1a9a74caf2759633fa05221ea2122bb2e4d6c58645c9f395b4ed2e797c425f3","first_computed_at":"2026-05-18T02:56:58.232757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:58.232757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"imf/Vdk8WzZWHM8o2j9ibagZt+t54h4J0blNhFGNjYmqH0azZtDypp8Ooo6PqihiU/epV5cUG5CUs26BGPR7Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:58.233269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.1167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36693b950288e2c48fc8cc3d23f3b56fc2d1defc311df5ce14f2060a2d5b52da","sha256:7620bca19a9d8d32f95cafc473a6fd202e3ee15ed2e71cd6814a9cb0001d32b2"],"state_sha256":"276db58cf375563ea56a31db161dcc5d24c7c74545ef19b73923ee963c5e005a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HZGsVRGqkhUNgzb9nilP/UqTHG6laZ2d3446zymkiBTLM+6hE2oemelJOVLC1zXn6Vo+ZSbob/5ae7ZbBQtYDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:22:56.431570Z","bundle_sha256":"99cf8d0a2d21f723f9d4a88cf19c93b4682c63f1ebc0262bdbe19b252f48dfcd"}}