{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:PWCM3NFBMK7S6X5WQQI2MBGATI","short_pith_number":"pith:PWCM3NFB","canonical_record":{"source":{"id":"2606.24720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-06-23T15:43:20Z","cross_cats_sorted":["physics.comp-ph","quant-ph"],"title_canon_sha256":"8744a2443d7a70c1b69cfa67ca024f3cb2f0cf218bd64a0d3a9c5b3b9b68978a","abstract_canon_sha256":"d33f71a46d568716fbf0c61237f55d13ef7ffc11af9879ad8a7424048ad6cf10"},"schema_version":"1.0"},"canonical_sha256":"7d84cdb4a162bf2f5fb68411a604c09a23e6c5eee604eb08f1c1e3d1bf562f2c","source":{"kind":"arxiv","id":"2606.24720","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24720","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24720v1","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24720","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"pith_short_12","alias_value":"PWCM3NFBMK7S","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"pith_short_16","alias_value":"PWCM3NFBMK7S6X5W","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"pith_short_8","alias_value":"PWCM3NFB","created_at":"2026-06-24T01:15:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:PWCM3NFBMK7S6X5WQQI2MBGATI","target":"record","payload":{"canonical_record":{"source":{"id":"2606.24720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-06-23T15:43:20Z","cross_cats_sorted":["physics.comp-ph","quant-ph"],"title_canon_sha256":"8744a2443d7a70c1b69cfa67ca024f3cb2f0cf218bd64a0d3a9c5b3b9b68978a","abstract_canon_sha256":"d33f71a46d568716fbf0c61237f55d13ef7ffc11af9879ad8a7424048ad6cf10"},"schema_version":"1.0"},"canonical_sha256":"7d84cdb4a162bf2f5fb68411a604c09a23e6c5eee604eb08f1c1e3d1bf562f2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:15:39.999142Z","signature_b64":"TDikoEtxnvbzFS4Ot3WjT/lOxy21a+NGo2CyZ5+54ou4e+EZiiwSeEMqM+evqhEDZRQ2dHzeVlaUDm5jsXb/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d84cdb4a162bf2f5fb68411a604c09a23e6c5eee604eb08f1c1e3d1bf562f2c","last_reissued_at":"2026-06-24T01:15:39.998709Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:15:39.998709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.24720","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":"2026-06-24T01:15:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K6G0YzTpFIpUcakuf5dA34lnrrgiSA3WtxmmbAP2ONTmlbEDKJpnCLSeB0YcKm3YRXzF8gZUkODcUBJNYiAuCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:42:47.426455Z"},"content_sha256":"5cc62020b1fdbf5b1b8569e39d380e3a7e7352a21f8efe5ca92b49296801a775","schema_version":"1.0","event_id":"sha256:5cc62020b1fdbf5b1b8569e39d380e3a7e7352a21f8efe5ca92b49296801a775"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:PWCM3NFBMK7S6X5WQQI2MBGATI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the localization transition from MAA to AA models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Hangdong Qiu, Yunhua Wang","submitted_at":"2026-06-23T15:43:20Z","abstract_excerpt":"Despite their potential similarity between the mosaic Aubry-Andr\\'e (MAA) and AA models, the MAA model allows mobility edges (MEs), whereas the AA model does not. Here we develop a new double quasiperiodic MAA (DMAA) model consisting of one primitive MAA with nonzero even-site potentials and the other modified one with both nonzero odd-site potentials and a tunable amplitude factor, to reveal how localization transitions evolve from MAA to AA models. Interplays and competitions among the extended, critical and localized states arising from superpositions of double quasi-periodic MAA potentials"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24720","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.24720/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":"2026-06-24T01:15:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+HRAPWTiLKAuus+SPaGqRpx4hg+34kuka0zq9aDwDB4MEPlX6FCvjgOxxY5a/XXaQ2SVZUSgOpD+duJfWWfPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:42:47.426845Z"},"content_sha256":"2ae19cd8ff89a47e09cc3d7099d275e890748885b7ded1648ae5ac21f5a5e30c","schema_version":"1.0","event_id":"sha256:2ae19cd8ff89a47e09cc3d7099d275e890748885b7ded1648ae5ac21f5a5e30c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PWCM3NFBMK7S6X5WQQI2MBGATI/bundle.json","state_url":"https://pith.science/pith/PWCM3NFBMK7S6X5WQQI2MBGATI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PWCM3NFBMK7S6X5WQQI2MBGATI/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":"2026-07-02T20:42:47Z","links":{"resolver":"https://pith.science/pith/PWCM3NFBMK7S6X5WQQI2MBGATI","bundle":"https://pith.science/pith/PWCM3NFBMK7S6X5WQQI2MBGATI/bundle.json","state":"https://pith.science/pith/PWCM3NFBMK7S6X5WQQI2MBGATI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PWCM3NFBMK7S6X5WQQI2MBGATI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PWCM3NFBMK7S6X5WQQI2MBGATI","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":"d33f71a46d568716fbf0c61237f55d13ef7ffc11af9879ad8a7424048ad6cf10","cross_cats_sorted":["physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-06-23T15:43:20Z","title_canon_sha256":"8744a2443d7a70c1b69cfa67ca024f3cb2f0cf218bd64a0d3a9c5b3b9b68978a"},"schema_version":"1.0","source":{"id":"2606.24720","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24720","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24720v1","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24720","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"pith_short_12","alias_value":"PWCM3NFBMK7S","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"pith_short_16","alias_value":"PWCM3NFBMK7S6X5W","created_at":"2026-06-24T01:15:39Z"},{"alias_kind":"pith_short_8","alias_value":"PWCM3NFB","created_at":"2026-06-24T01:15:39Z"}],"graph_snapshots":[{"event_id":"sha256:2ae19cd8ff89a47e09cc3d7099d275e890748885b7ded1648ae5ac21f5a5e30c","target":"graph","created_at":"2026-06-24T01:15:39Z","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/2606.24720/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Despite their potential similarity between the mosaic Aubry-Andr\\'e (MAA) and AA models, the MAA model allows mobility edges (MEs), whereas the AA model does not. Here we develop a new double quasiperiodic MAA (DMAA) model consisting of one primitive MAA with nonzero even-site potentials and the other modified one with both nonzero odd-site potentials and a tunable amplitude factor, to reveal how localization transitions evolve from MAA to AA models. Interplays and competitions among the extended, critical and localized states arising from superpositions of double quasi-periodic MAA potentials","authors_text":"Hangdong Qiu, Yunhua Wang","cross_cats":["physics.comp-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-06-23T15:43:20Z","title":"On the localization transition from MAA to AA models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24720","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":"sha256:5cc62020b1fdbf5b1b8569e39d380e3a7e7352a21f8efe5ca92b49296801a775","target":"record","created_at":"2026-06-24T01:15:39Z","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":"d33f71a46d568716fbf0c61237f55d13ef7ffc11af9879ad8a7424048ad6cf10","cross_cats_sorted":["physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-06-23T15:43:20Z","title_canon_sha256":"8744a2443d7a70c1b69cfa67ca024f3cb2f0cf218bd64a0d3a9c5b3b9b68978a"},"schema_version":"1.0","source":{"id":"2606.24720","kind":"arxiv","version":1}},"canonical_sha256":"7d84cdb4a162bf2f5fb68411a604c09a23e6c5eee604eb08f1c1e3d1bf562f2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d84cdb4a162bf2f5fb68411a604c09a23e6c5eee604eb08f1c1e3d1bf562f2c","first_computed_at":"2026-06-24T01:15:39.998709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:15:39.998709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TDikoEtxnvbzFS4Ot3WjT/lOxy21a+NGo2CyZ5+54ou4e+EZiiwSeEMqM+evqhEDZRQ2dHzeVlaUDm5jsXb/CQ==","signature_status":"signed_v1","signed_at":"2026-06-24T01:15:39.999142Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24720","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cc62020b1fdbf5b1b8569e39d380e3a7e7352a21f8efe5ca92b49296801a775","sha256:2ae19cd8ff89a47e09cc3d7099d275e890748885b7ded1648ae5ac21f5a5e30c"],"state_sha256":"d35ea9f2fbfb1b0a8e4368978f4ee4d2cd29ff970731ed6a796bfcbb1baf37bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"US/KIJCZYtLGLbJJBecyJ+oFII2Dg45wKIhuREpJYCMYMSOP3ZJUHoRxBxghp5tH7y+t2271LgyV0jfoN5L/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T20:42:47.428869Z","bundle_sha256":"47f7df0c192243d2dd4ded300c83aad233bc87fd745e7861a35addb16571ced1"}}