{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:K5OUINZVMINTWABLYM6ATHAK4V","short_pith_number":"pith:K5OUINZV","canonical_record":{"source":{"id":"1908.03928","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-11T15:57:39Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"63d827ed9724b0c97d830da36032db67cf612d5d1a52a5c8273b0151d12ac53e","abstract_canon_sha256":"45e9f565816e9e91e6ab6efb1eb7728483f87affacc1ef5f9504888b409cbf8d"},"schema_version":"1.0"},"canonical_sha256":"575d443735621b3b002bc33c099c0ae56dc4e3a742c2004efb837c4ef670499a","source":{"kind":"arxiv","id":"1908.03928","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03928","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03928v2","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03928","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"pith_short_12","alias_value":"K5OUINZVMINT","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"pith_short_16","alias_value":"K5OUINZVMINTWABL","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"pith_short_8","alias_value":"K5OUINZV","created_at":"2026-07-05T01:22:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:K5OUINZVMINTWABLYM6ATHAK4V","target":"record","payload":{"canonical_record":{"source":{"id":"1908.03928","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-11T15:57:39Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"63d827ed9724b0c97d830da36032db67cf612d5d1a52a5c8273b0151d12ac53e","abstract_canon_sha256":"45e9f565816e9e91e6ab6efb1eb7728483f87affacc1ef5f9504888b409cbf8d"},"schema_version":"1.0"},"canonical_sha256":"575d443735621b3b002bc33c099c0ae56dc4e3a742c2004efb837c4ef670499a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:22:35.980830Z","signature_b64":"REwdmfS4X7Q46FZ2z0hU2/HTmvQyvsHgr0QhWPioZt9VuQSMSj+ouz7LLq20X2qstwc8tOUya7D8Lz3E3iKzDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"575d443735621b3b002bc33c099c0ae56dc4e3a742c2004efb837c4ef670499a","last_reissued_at":"2026-07-05T01:22:35.980424Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:22:35.980424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.03928","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":"2026-07-05T01:22:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mbl8ctDhkNOp/XX08cjpHWhlNC/9GttB1DwM1pROmGoME6e12//cZgFaa/ll3q2+iHQm+LufNGLRzCG/dJ/3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T04:33:13.233402Z"},"content_sha256":"0ca0757a440e75396db495d4f566a5b3f4d61328ff7d8f3f1e75837d0430f791","schema_version":"1.0","event_id":"sha256:0ca0757a440e75396db495d4f566a5b3f4d61328ff7d8f3f1e75837d0430f791"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:K5OUINZVMINTWABLYM6ATHAK4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of symmetry-protected topological phases in two-dimensional many body-localized systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Amos Chan, Joey Li, Thorsten B. Wahl","submitted_at":"2019-08-11T15:57:39Z","abstract_excerpt":"We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-site symmetries we show that the (generalized) third cohomology class of the symmetry group is a topological invariant; however our approach leaves room for the existence of additional topological indices. We argue that our classification applies to quasi-periodic systems in two dimensions and systems with true random disorder within times which scale superexponentially with the inverse interaction strength. Our tech"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03928","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/1908.03928/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":"2026-07-05T01:22:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m1ceKrO6ijXNIbOu3aeL9Gd7mxJTaOmcgw0UrI5DxCT/YD2Z9wG9yz5MWI72+lFkBmV+WEzbuhFxjHR/jNpFAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T04:33:13.239939Z"},"content_sha256":"abdc4afc281b437e0ecd010156ff0c605cd03a9cf40c17b211b6e83f3361268a","schema_version":"1.0","event_id":"sha256:abdc4afc281b437e0ecd010156ff0c605cd03a9cf40c17b211b6e83f3361268a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V/bundle.json","state_url":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K5OUINZVMINTWABLYM6ATHAK4V/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":"2026-08-15T04:33:13Z","links":{"resolver":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V","bundle":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V/bundle.json","state":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K5OUINZVMINTWABLYM6ATHAK4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:K5OUINZVMINTWABLYM6ATHAK4V","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":"45e9f565816e9e91e6ab6efb1eb7728483f87affacc1ef5f9504888b409cbf8d","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-11T15:57:39Z","title_canon_sha256":"63d827ed9724b0c97d830da36032db67cf612d5d1a52a5c8273b0151d12ac53e"},"schema_version":"1.0","source":{"id":"1908.03928","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03928","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03928v2","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03928","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"pith_short_12","alias_value":"K5OUINZVMINT","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"pith_short_16","alias_value":"K5OUINZVMINTWABL","created_at":"2026-07-05T01:22:35Z"},{"alias_kind":"pith_short_8","alias_value":"K5OUINZV","created_at":"2026-07-05T01:22:35Z"}],"graph_snapshots":[{"event_id":"sha256:abdc4afc281b437e0ecd010156ff0c605cd03a9cf40c17b211b6e83f3361268a","target":"graph","created_at":"2026-07-05T01:22:35Z","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/1908.03928/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-site symmetries we show that the (generalized) third cohomology class of the symmetry group is a topological invariant; however our approach leaves room for the existence of additional topological indices. We argue that our classification applies to quasi-periodic systems in two dimensions and systems with true random disorder within times which scale superexponentially with the inverse interaction strength. Our tech","authors_text":"Amos Chan, Joey Li, Thorsten B. Wahl","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-11T15:57:39Z","title":"Classification of symmetry-protected topological phases in two-dimensional many body-localized systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03928","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":"sha256:0ca0757a440e75396db495d4f566a5b3f4d61328ff7d8f3f1e75837d0430f791","target":"record","created_at":"2026-07-05T01:22:35Z","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":"45e9f565816e9e91e6ab6efb1eb7728483f87affacc1ef5f9504888b409cbf8d","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-11T15:57:39Z","title_canon_sha256":"63d827ed9724b0c97d830da36032db67cf612d5d1a52a5c8273b0151d12ac53e"},"schema_version":"1.0","source":{"id":"1908.03928","kind":"arxiv","version":2}},"canonical_sha256":"575d443735621b3b002bc33c099c0ae56dc4e3a742c2004efb837c4ef670499a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"575d443735621b3b002bc33c099c0ae56dc4e3a742c2004efb837c4ef670499a","first_computed_at":"2026-07-05T01:22:35.980424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:22:35.980424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"REwdmfS4X7Q46FZ2z0hU2/HTmvQyvsHgr0QhWPioZt9VuQSMSj+ouz7LLq20X2qstwc8tOUya7D8Lz3E3iKzDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:22:35.980830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.03928","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ca0757a440e75396db495d4f566a5b3f4d61328ff7d8f3f1e75837d0430f791","sha256:abdc4afc281b437e0ecd010156ff0c605cd03a9cf40c17b211b6e83f3361268a"],"state_sha256":"075b10e1ec8d423652935443c1da73cfa2719ca75f73b73a4dfacca8ce79efe1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cxC60y+ksZ0c6HVtU1+ntrAeRWHhn+w03U79+Ppq3oiG/ZXxL3+WzFqkupO3ZyRk9iulB2qbXWBxrbvbWFGfAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T04:33:13.246680Z","bundle_sha256":"b4d7dd98a138baba9214b20646a40fa2ad3c1d04b7b9d6dd90e6c106682fb7b3"}}