{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JQ23IMYE56EFIMQN6HHQUJ3EK2","short_pith_number":"pith:JQ23IMYE","canonical_record":{"source":{"id":"1406.4675","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-06-18T10:34:17Z","cross_cats_sorted":[],"title_canon_sha256":"a749a2df82fe8dfa2e492e0eed960dd5e6414a78777984adc66ae7916fd52ed5","abstract_canon_sha256":"d515367b4738ec38f69d2e79ca638d3ba2475eb770a6e9142a52bb92abb7742a"},"schema_version":"1.0"},"canonical_sha256":"4c35b43304ef8854320df1cf0a276456a7937aebe9e0c48e0e85c6006c53abdc","source":{"kind":"arxiv","id":"1406.4675","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4675","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4675v3","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4675","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"JQ23IMYE56EF","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JQ23IMYE56EFIMQN","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JQ23IMYE","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JQ23IMYE56EFIMQN6HHQUJ3EK2","target":"record","payload":{"canonical_record":{"source":{"id":"1406.4675","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-06-18T10:34:17Z","cross_cats_sorted":[],"title_canon_sha256":"a749a2df82fe8dfa2e492e0eed960dd5e6414a78777984adc66ae7916fd52ed5","abstract_canon_sha256":"d515367b4738ec38f69d2e79ca638d3ba2475eb770a6e9142a52bb92abb7742a"},"schema_version":"1.0"},"canonical_sha256":"4c35b43304ef8854320df1cf0a276456a7937aebe9e0c48e0e85c6006c53abdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:53.990897Z","signature_b64":"MsHwKTju8A4/oNbrO50ebwfteKELnenKOJZ1bId2Tjdlt11Y5oTXN3m5psPh/miG1Ulc14yUUR811uXutwHICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c35b43304ef8854320df1cf0a276456a7937aebe9e0c48e0e85c6006c53abdc","last_reissued_at":"2026-05-18T02:28:53.990552Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:53.990552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.4675","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":"2026-05-18T02:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UUrJPGUNs6GEYBybT/UmdR9yuZgBlwQYjLqkbD53JHhB07LrbV8uRorcaGWqE5F8vhtZf5S1+/1iYlNu/UtUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T00:46:28.173710Z"},"content_sha256":"2570c6a55d565f4b56b0c2585b5e57a82f86a3dbbc5ca68d9cf424caa246af3a","schema_version":"1.0","event_id":"sha256:2570c6a55d565f4b56b0c2585b5e57a82f86a3dbbc5ca68d9cf424caa246af3a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JQ23IMYE56EFIMQN6HHQUJ3EK2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localization and adiabatic pumping in a generalized Aubry-Andr\\'e-Harper model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Fangli Liu, Somnath Ghosh, Y. D. Chong","submitted_at":"2014-06-18T10:34:17Z","abstract_excerpt":"A generalization of the Aubry-Andr\\'e-Harper (AAH) model is developed, containing a tunable phase shift between on-site and off-diagonal modulations. A localization transition can be induced by varying just this phase, keeping all other model parameters constant. The complete localization phase diagram is obtained. Unlike the original AAH model, the generalized model can exhibit a transition between topologically trivial bandstructures and topologically non-trivial bandstructures containing protected boundary states. These boundary states can be pumped across the system by adiabatic variations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4675","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":"2026-05-18T02:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5s3yhVHInd+bzcEVpb+kE2Qg0A/506yFFWKSkfGTAenGksSSvAWowX0t2Gla20rKnZNDs5pAR9xOFoQbVv7NAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T00:46:28.174076Z"},"content_sha256":"8ef55e505801d97053935400448cf4fce7e28941266c5634e4eb954c9b1346a9","schema_version":"1.0","event_id":"sha256:8ef55e505801d97053935400448cf4fce7e28941266c5634e4eb954c9b1346a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JQ23IMYE56EFIMQN6HHQUJ3EK2/bundle.json","state_url":"https://pith.science/pith/JQ23IMYE56EFIMQN6HHQUJ3EK2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JQ23IMYE56EFIMQN6HHQUJ3EK2/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":"2026-06-06T00:46:28Z","links":{"resolver":"https://pith.science/pith/JQ23IMYE56EFIMQN6HHQUJ3EK2","bundle":"https://pith.science/pith/JQ23IMYE56EFIMQN6HHQUJ3EK2/bundle.json","state":"https://pith.science/pith/JQ23IMYE56EFIMQN6HHQUJ3EK2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JQ23IMYE56EFIMQN6HHQUJ3EK2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JQ23IMYE56EFIMQN6HHQUJ3EK2","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":"d515367b4738ec38f69d2e79ca638d3ba2475eb770a6e9142a52bb92abb7742a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-06-18T10:34:17Z","title_canon_sha256":"a749a2df82fe8dfa2e492e0eed960dd5e6414a78777984adc66ae7916fd52ed5"},"schema_version":"1.0","source":{"id":"1406.4675","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4675","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4675v3","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4675","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"JQ23IMYE56EF","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JQ23IMYE56EFIMQN","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JQ23IMYE","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:8ef55e505801d97053935400448cf4fce7e28941266c5634e4eb954c9b1346a9","target":"graph","created_at":"2026-05-18T02:28:53Z","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 generalization of the Aubry-Andr\\'e-Harper (AAH) model is developed, containing a tunable phase shift between on-site and off-diagonal modulations. A localization transition can be induced by varying just this phase, keeping all other model parameters constant. The complete localization phase diagram is obtained. Unlike the original AAH model, the generalized model can exhibit a transition between topologically trivial bandstructures and topologically non-trivial bandstructures containing protected boundary states. These boundary states can be pumped across the system by adiabatic variations","authors_text":"Fangli Liu, Somnath Ghosh, Y. D. Chong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-06-18T10:34:17Z","title":"Localization and adiabatic pumping in a generalized Aubry-Andr\\'e-Harper model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4675","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":"sha256:2570c6a55d565f4b56b0c2585b5e57a82f86a3dbbc5ca68d9cf424caa246af3a","target":"record","created_at":"2026-05-18T02:28:53Z","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":"d515367b4738ec38f69d2e79ca638d3ba2475eb770a6e9142a52bb92abb7742a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-06-18T10:34:17Z","title_canon_sha256":"a749a2df82fe8dfa2e492e0eed960dd5e6414a78777984adc66ae7916fd52ed5"},"schema_version":"1.0","source":{"id":"1406.4675","kind":"arxiv","version":3}},"canonical_sha256":"4c35b43304ef8854320df1cf0a276456a7937aebe9e0c48e0e85c6006c53abdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c35b43304ef8854320df1cf0a276456a7937aebe9e0c48e0e85c6006c53abdc","first_computed_at":"2026-05-18T02:28:53.990552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:53.990552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MsHwKTju8A4/oNbrO50ebwfteKELnenKOJZ1bId2Tjdlt11Y5oTXN3m5psPh/miG1Ulc14yUUR811uXutwHICg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:53.990897Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.4675","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2570c6a55d565f4b56b0c2585b5e57a82f86a3dbbc5ca68d9cf424caa246af3a","sha256:8ef55e505801d97053935400448cf4fce7e28941266c5634e4eb954c9b1346a9"],"state_sha256":"ffbdaa6e7e712d91b5155957aa005108c223fa89aac5e296fb6dfcbf4238cf2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J/O8GtMWGX8WS/4MH/pVM9f3wC1RFKJFW94/31eSfBltct9A8UE9PdTdhcX4lS8B68ZVIkaEwUeJkfkmdoQQBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T00:46:28.176479Z","bundle_sha256":"4e7bdb39dc91898b8224a31645a951408153228ec37cc99409ec5452c5b0bb6c"}}