{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ZJ5H4KE6MC5NWKV4XH3KLX4WOY","short_pith_number":"pith:ZJ5H4KE6","canonical_record":{"source":{"id":"1110.6120","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-27T15:44:29Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"087efae1df2981481c9edb51993e00396b4bdbcba50e23a4381ff79bb1b46196","abstract_canon_sha256":"a6ffa083c28181e8983af095cee34ce411c5fc1bdbd665325caed16f621c5df2"},"schema_version":"1.0"},"canonical_sha256":"ca7a7e289e60badb2abcb9f6a5df967609729af61a88b5e770b27e69d3205bbd","source":{"kind":"arxiv","id":"1110.6120","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6120","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6120v3","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6120","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"pith_short_12","alias_value":"ZJ5H4KE6MC5N","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZJ5H4KE6MC5NWKV4","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZJ5H4KE6","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ZJ5H4KE6MC5NWKV4XH3KLX4WOY","target":"record","payload":{"canonical_record":{"source":{"id":"1110.6120","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-27T15:44:29Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"087efae1df2981481c9edb51993e00396b4bdbcba50e23a4381ff79bb1b46196","abstract_canon_sha256":"a6ffa083c28181e8983af095cee34ce411c5fc1bdbd665325caed16f621c5df2"},"schema_version":"1.0"},"canonical_sha256":"ca7a7e289e60badb2abcb9f6a5df967609729af61a88b5e770b27e69d3205bbd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:45.714500Z","signature_b64":"TSRhVtGni90ZVEERJ2UK74JAA5jhQaJV/zc4ZqCHllmvmssc66F9MyLXkWGUqx7bwJWXaYIaYHAt+hbpGAeKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca7a7e289e60badb2abcb9f6a5df967609729af61a88b5e770b27e69d3205bbd","last_reissued_at":"2026-05-18T03:49:45.713929Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:45.713929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.6120","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hWxxMSPq9k5zEqFfcPa0+oGoG4qOmgVGHxIiKrrWyiVdIm01oGkmqN4uxUd5tdIZt37g1j0c0h0hs+brcWYABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:01:44.790265Z"},"content_sha256":"b0bac0a2c592373dcf215379e78f2b0e7de32ae8909b163dffbdc34670b80f25","schema_version":"1.0","event_id":"sha256:b0bac0a2c592373dcf215379e78f2b0e7de32ae8909b163dffbdc34670b80f25"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ZJ5H4KE6MC5NWKV4XH3KLX4WOY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Edge states and topological phases in one-dimensional optical superlattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Li-Jun Lang, Shu Chen, Xiaoming Cai","submitted_at":"2011-10-27T15:44:29Z","abstract_excerpt":"We show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on the optical superlattice is a topological insulator characterized by a nonzero topological invariant. The topological nature can be revealed by observing the density profile of a trapped fermion system, which displays plateaus with their positions uniquely determined by the ration of wavelengths of the bichromatic optical lattice. The butterfly-like spectrum o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6120","kind":"arxiv","version":3},"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":"2026-05-18T03:49:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iTzHPdHNl6/anSX7VmBTgC9JzFkvq8xt++aYBFD/Hm4ai4h2/T58Ar3EuRXcIgE2a8yf1TryTL1mDClpwB9AAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:01:44.790635Z"},"content_sha256":"7b89053e3a45439e60ec2bc15f965884cfb3f5a40d3dd3478ffcb63a5f229948","schema_version":"1.0","event_id":"sha256:7b89053e3a45439e60ec2bc15f965884cfb3f5a40d3dd3478ffcb63a5f229948"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZJ5H4KE6MC5NWKV4XH3KLX4WOY/bundle.json","state_url":"https://pith.science/pith/ZJ5H4KE6MC5NWKV4XH3KLX4WOY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZJ5H4KE6MC5NWKV4XH3KLX4WOY/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":"2026-06-03T23:01:44Z","links":{"resolver":"https://pith.science/pith/ZJ5H4KE6MC5NWKV4XH3KLX4WOY","bundle":"https://pith.science/pith/ZJ5H4KE6MC5NWKV4XH3KLX4WOY/bundle.json","state":"https://pith.science/pith/ZJ5H4KE6MC5NWKV4XH3KLX4WOY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZJ5H4KE6MC5NWKV4XH3KLX4WOY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZJ5H4KE6MC5NWKV4XH3KLX4WOY","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":"a6ffa083c28181e8983af095cee34ce411c5fc1bdbd665325caed16f621c5df2","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-27T15:44:29Z","title_canon_sha256":"087efae1df2981481c9edb51993e00396b4bdbcba50e23a4381ff79bb1b46196"},"schema_version":"1.0","source":{"id":"1110.6120","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6120","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6120v3","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6120","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"pith_short_12","alias_value":"ZJ5H4KE6MC5N","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZJ5H4KE6MC5NWKV4","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZJ5H4KE6","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:7b89053e3a45439e60ec2bc15f965884cfb3f5a40d3dd3478ffcb63a5f229948","target":"graph","created_at":"2026-05-18T03:49:45Z","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 show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on the optical superlattice is a topological insulator characterized by a nonzero topological invariant. The topological nature can be revealed by observing the density profile of a trapped fermion system, which displays plateaus with their positions uniquely determined by the ration of wavelengths of the bichromatic optical lattice. The butterfly-like spectrum o","authors_text":"Li-Jun Lang, Shu Chen, Xiaoming Cai","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-27T15:44:29Z","title":"Edge states and topological phases in one-dimensional optical superlattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6120","kind":"arxiv","version":3},"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:b0bac0a2c592373dcf215379e78f2b0e7de32ae8909b163dffbdc34670b80f25","target":"record","created_at":"2026-05-18T03:49:45Z","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":"a6ffa083c28181e8983af095cee34ce411c5fc1bdbd665325caed16f621c5df2","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-27T15:44:29Z","title_canon_sha256":"087efae1df2981481c9edb51993e00396b4bdbcba50e23a4381ff79bb1b46196"},"schema_version":"1.0","source":{"id":"1110.6120","kind":"arxiv","version":3}},"canonical_sha256":"ca7a7e289e60badb2abcb9f6a5df967609729af61a88b5e770b27e69d3205bbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca7a7e289e60badb2abcb9f6a5df967609729af61a88b5e770b27e69d3205bbd","first_computed_at":"2026-05-18T03:49:45.713929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:45.713929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TSRhVtGni90ZVEERJ2UK74JAA5jhQaJV/zc4ZqCHllmvmssc66F9MyLXkWGUqx7bwJWXaYIaYHAt+hbpGAeKAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:45.714500Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6120","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0bac0a2c592373dcf215379e78f2b0e7de32ae8909b163dffbdc34670b80f25","sha256:7b89053e3a45439e60ec2bc15f965884cfb3f5a40d3dd3478ffcb63a5f229948"],"state_sha256":"373c88c33f1e7260927bac623611c6bbca8f1612d95fce11e4e101c57ec79469"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pI24LfDng+ET88ItANNyOXZLAiwC0DXchisIltfEc0Y7C0vytfgHvLAKisL3CiVQgGoexrLz/vgJG8P9B5qTCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T23:01:44.792655Z","bundle_sha256":"93ce3667422904cf27fa5ed2aa3eb13cc1d63c54fe0e5bb5851df3c82743471a"}}