{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AGPBHZJZ2IKK7MTTCFC4KZ5OFW","short_pith_number":"pith:AGPBHZJZ","canonical_record":{"source":{"id":"1605.00756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-05-03T05:38:44Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"bd89cab90c114a3054e1502aa5a1026abad4852d4f83ce56711ec28639da81c0","abstract_canon_sha256":"f6f2afafa0d13f5c6dee3664969f920fa784754eb1039ccc54b174c274ac20da"},"schema_version":"1.0"},"canonical_sha256":"019e13e539d214afb2731145c567ae2da326209b35574fd6a7119326d86bedf2","source":{"kind":"arxiv","id":"1605.00756","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00756","created_at":"2026-05-18T00:59:25Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00756v2","created_at":"2026-05-18T00:59:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00756","created_at":"2026-05-18T00:59:25Z"},{"alias_kind":"pith_short_12","alias_value":"AGPBHZJZ2IKK","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AGPBHZJZ2IKK7MTT","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AGPBHZJZ","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AGPBHZJZ2IKK7MTTCFC4KZ5OFW","target":"record","payload":{"canonical_record":{"source":{"id":"1605.00756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-05-03T05:38:44Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"bd89cab90c114a3054e1502aa5a1026abad4852d4f83ce56711ec28639da81c0","abstract_canon_sha256":"f6f2afafa0d13f5c6dee3664969f920fa784754eb1039ccc54b174c274ac20da"},"schema_version":"1.0"},"canonical_sha256":"019e13e539d214afb2731145c567ae2da326209b35574fd6a7119326d86bedf2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:25.365134Z","signature_b64":"p7kwIk0FpoEFdhO8Pm+PcSYbW57ep4BWO7HewhBuaxLx0wJPI97qw1USfA5k5TDyCtfDgI2y/q7tv+HdLKTEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"019e13e539d214afb2731145c567ae2da326209b35574fd6a7119326d86bedf2","last_reissued_at":"2026-05-18T00:59:25.364621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:25.364621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.00756","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":"2026-05-18T00:59:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Am84V795A2cpNEL89dGnyvBWasQmB6GXT9MS3/7WcvHqDTsLyjNdNkpXngsYKq4sZzpaaSzGE0OKsYgtT+B0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:48:35.557786Z"},"content_sha256":"d1f64fffebd7cd1990280046f98c2f00c41d46145d8f60ee33ee850d3b7eebe1","schema_version":"1.0","event_id":"sha256:d1f64fffebd7cd1990280046f98c2f00c41d46145d8f60ee33ee850d3b7eebe1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AGPBHZJZ2IKK7MTTCFC4KZ5OFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reservoir-induced Thouless pumping and symmetry protected topological order in open quantum chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Dominik Linzner, Fabian Grusdt, Lukas Wawer, Michael Fleischhauer","submitted_at":"2016-05-03T05:38:44Z","abstract_excerpt":"We introduce a classification scheme for symmetry protected topological phases applicable to stationary states of open systems based on a generalization of the many-body polarization. The polarization can be used to probe the topological properties of non-interacting and interacting closed and open systems as well and remains a meaningful quantity even in the presence of moderate particle-number fluctuations. As examples, we discuss two open-system versions of a topological Thouless pump in the steady state of one-dimensional lattices driven by Markovian reservoirs. In the analogous unitary sy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00756","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":""},"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":"2026-05-18T00:59:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"egjf6oja+UL4Bcq5LZnN76vEgqP0sEGs/X7WgxKS8iMi9gruvSgz/cLL2eM/UuyxefRgja95rwq42MyM69nZAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:48:35.558139Z"},"content_sha256":"99bb370f7c803d1a9d3bc35cef470af80ca3ee2a632758b5cb397c717f6089f6","schema_version":"1.0","event_id":"sha256:99bb370f7c803d1a9d3bc35cef470af80ca3ee2a632758b5cb397c717f6089f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AGPBHZJZ2IKK7MTTCFC4KZ5OFW/bundle.json","state_url":"https://pith.science/pith/AGPBHZJZ2IKK7MTTCFC4KZ5OFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AGPBHZJZ2IKK7MTTCFC4KZ5OFW/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":"2026-06-02T15:48:35Z","links":{"resolver":"https://pith.science/pith/AGPBHZJZ2IKK7MTTCFC4KZ5OFW","bundle":"https://pith.science/pith/AGPBHZJZ2IKK7MTTCFC4KZ5OFW/bundle.json","state":"https://pith.science/pith/AGPBHZJZ2IKK7MTTCFC4KZ5OFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AGPBHZJZ2IKK7MTTCFC4KZ5OFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AGPBHZJZ2IKK7MTTCFC4KZ5OFW","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":"f6f2afafa0d13f5c6dee3664969f920fa784754eb1039ccc54b174c274ac20da","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-05-03T05:38:44Z","title_canon_sha256":"bd89cab90c114a3054e1502aa5a1026abad4852d4f83ce56711ec28639da81c0"},"schema_version":"1.0","source":{"id":"1605.00756","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00756","created_at":"2026-05-18T00:59:25Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00756v2","created_at":"2026-05-18T00:59:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00756","created_at":"2026-05-18T00:59:25Z"},{"alias_kind":"pith_short_12","alias_value":"AGPBHZJZ2IKK","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AGPBHZJZ2IKK7MTT","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AGPBHZJZ","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:99bb370f7c803d1a9d3bc35cef470af80ca3ee2a632758b5cb397c717f6089f6","target":"graph","created_at":"2026-05-18T00:59:25Z","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":"We introduce a classification scheme for symmetry protected topological phases applicable to stationary states of open systems based on a generalization of the many-body polarization. The polarization can be used to probe the topological properties of non-interacting and interacting closed and open systems as well and remains a meaningful quantity even in the presence of moderate particle-number fluctuations. As examples, we discuss two open-system versions of a topological Thouless pump in the steady state of one-dimensional lattices driven by Markovian reservoirs. In the analogous unitary sy","authors_text":"Dominik Linzner, Fabian Grusdt, Lukas Wawer, Michael Fleischhauer","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-05-03T05:38:44Z","title":"Reservoir-induced Thouless pumping and symmetry protected topological order in open quantum chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00756","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:d1f64fffebd7cd1990280046f98c2f00c41d46145d8f60ee33ee850d3b7eebe1","target":"record","created_at":"2026-05-18T00:59:25Z","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":"f6f2afafa0d13f5c6dee3664969f920fa784754eb1039ccc54b174c274ac20da","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-05-03T05:38:44Z","title_canon_sha256":"bd89cab90c114a3054e1502aa5a1026abad4852d4f83ce56711ec28639da81c0"},"schema_version":"1.0","source":{"id":"1605.00756","kind":"arxiv","version":2}},"canonical_sha256":"019e13e539d214afb2731145c567ae2da326209b35574fd6a7119326d86bedf2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"019e13e539d214afb2731145c567ae2da326209b35574fd6a7119326d86bedf2","first_computed_at":"2026-05-18T00:59:25.364621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:25.364621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p7kwIk0FpoEFdhO8Pm+PcSYbW57ep4BWO7HewhBuaxLx0wJPI97qw1USfA5k5TDyCtfDgI2y/q7tv+HdLKTEAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:25.365134Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.00756","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1f64fffebd7cd1990280046f98c2f00c41d46145d8f60ee33ee850d3b7eebe1","sha256:99bb370f7c803d1a9d3bc35cef470af80ca3ee2a632758b5cb397c717f6089f6"],"state_sha256":"35cd739cae004aca736e35943eab85f8677333785557814c4144c00ae5df1859"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QtdtlXS3BnIb0J8RprTDdAiEj/NpNFbNxOfzQM9yq+FbgzltE/cfvxAyRv5rdGYUk3GbVK8RBbdy2aY2fAPGCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:48:35.560583Z","bundle_sha256":"44c43049bc192b793fe471d1e9ca7b6bd5b15e52e261facc97fb020c8811017c"}}