{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:4HW6IS6NHJU573UARKKK336V5S","short_pith_number":"pith:4HW6IS6N","canonical_record":{"source":{"id":"2209.14650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2022-09-29T09:23:31Z","cross_cats_sorted":[],"title_canon_sha256":"4b545c8e542250e4c93556920f758d66f3ce74eb48dff021fc25ea9ca1462fa1","abstract_canon_sha256":"e328ac01f13f558ec501c444ad827943886cdfe0620e30625bfff131e2dbe579"},"schema_version":"1.0"},"canonical_sha256":"e1ede44bcd3a69dfee808a94adefd5ec808bfd3dc3fa2565a4e2a7d149adbf64","source":{"kind":"arxiv","id":"2209.14650","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.14650","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"arxiv_version","alias_value":"2209.14650v2","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.14650","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"pith_short_12","alias_value":"4HW6IS6NHJU5","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"pith_short_16","alias_value":"4HW6IS6NHJU573UA","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"pith_short_8","alias_value":"4HW6IS6N","created_at":"2026-07-05T05:55:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:4HW6IS6NHJU573UARKKK336V5S","target":"record","payload":{"canonical_record":{"source":{"id":"2209.14650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2022-09-29T09:23:31Z","cross_cats_sorted":[],"title_canon_sha256":"4b545c8e542250e4c93556920f758d66f3ce74eb48dff021fc25ea9ca1462fa1","abstract_canon_sha256":"e328ac01f13f558ec501c444ad827943886cdfe0620e30625bfff131e2dbe579"},"schema_version":"1.0"},"canonical_sha256":"e1ede44bcd3a69dfee808a94adefd5ec808bfd3dc3fa2565a4e2a7d149adbf64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:55:59.501774Z","signature_b64":"2GEH07f0IsJ2AzHQsT5Hgxmw1CBWj9ICMvgPIjFQ5zPshCmRmMclm/40XRBvGbHTTXfZjPfSc3855cWoBpAXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1ede44bcd3a69dfee808a94adefd5ec808bfd3dc3fa2565a4e2a7d149adbf64","last_reissued_at":"2026-07-05T05:55:59.501440Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:55:59.501440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.14650","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":"2026-07-05T05:55:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1awuyTFNdX1SkMNesy2lNXYstGYdUuz4KWZqMBrwqsVEXnWMSP0NXYrvZejrqVn2+1uQ1ZZCtMj9LZ+38rm4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:29:42.775272Z"},"content_sha256":"fbba814f43e6aedeb41749fedeaff4ed3d56ac02c89dbc9f325f9564355edff5","schema_version":"1.0","event_id":"sha256:fbba814f43e6aedeb41749fedeaff4ed3d56ac02c89dbc9f325f9564355edff5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:4HW6IS6NHJU573UARKKK336V5S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unconventional delocalization in a family of 3D Lieb lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Carlo Danieli, Jianxin Zhong, Jie Liu, Rudolf A. R\\\"omer","submitted_at":"2022-09-29T09:23:31Z","abstract_excerpt":"Uncorrelated disorder in generalized 3D Lieb models gives rise to the existence of bounded mobility edges, destroys the macroscopic degeneracy of the flat bands and breaks their compactly-localized states. We now introduce a mix of order and disorder such that this degeneracy remains and the compactly-localized states are preserved. We obtain the energy-disorder phase diagrams and identify mobility edges. Intriguingly, for large disorder the survival of the compactly-localized states induces the existence of delocalized eigenstates close to the original flat band energies -- yielding seemingly"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.14650","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/2209.14650/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":"2026-07-05T05:55:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w9tElCakpek5WXW94mwR2Hfl3puQipWcL0cHw20Icthjf2kBHvmyMlqc1Ac1EU/g1NFMHiHvHjlojhareG8vCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:29:42.776251Z"},"content_sha256":"e5b8533eaaf8ff90130133583fd217dad1d362811322a8e1bc1a2d8b23a44222","schema_version":"1.0","event_id":"sha256:e5b8533eaaf8ff90130133583fd217dad1d362811322a8e1bc1a2d8b23a44222"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4HW6IS6NHJU573UARKKK336V5S/bundle.json","state_url":"https://pith.science/pith/4HW6IS6NHJU573UARKKK336V5S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4HW6IS6NHJU573UARKKK336V5S/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":"2026-08-11T11:29:42Z","links":{"resolver":"https://pith.science/pith/4HW6IS6NHJU573UARKKK336V5S","bundle":"https://pith.science/pith/4HW6IS6NHJU573UARKKK336V5S/bundle.json","state":"https://pith.science/pith/4HW6IS6NHJU573UARKKK336V5S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4HW6IS6NHJU573UARKKK336V5S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:4HW6IS6NHJU573UARKKK336V5S","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":"e328ac01f13f558ec501c444ad827943886cdfe0620e30625bfff131e2dbe579","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2022-09-29T09:23:31Z","title_canon_sha256":"4b545c8e542250e4c93556920f758d66f3ce74eb48dff021fc25ea9ca1462fa1"},"schema_version":"1.0","source":{"id":"2209.14650","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.14650","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"arxiv_version","alias_value":"2209.14650v2","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.14650","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"pith_short_12","alias_value":"4HW6IS6NHJU5","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"pith_short_16","alias_value":"4HW6IS6NHJU573UA","created_at":"2026-07-05T05:55:59Z"},{"alias_kind":"pith_short_8","alias_value":"4HW6IS6N","created_at":"2026-07-05T05:55:59Z"}],"graph_snapshots":[{"event_id":"sha256:e5b8533eaaf8ff90130133583fd217dad1d362811322a8e1bc1a2d8b23a44222","target":"graph","created_at":"2026-07-05T05:55:59Z","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/2209.14650/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Uncorrelated disorder in generalized 3D Lieb models gives rise to the existence of bounded mobility edges, destroys the macroscopic degeneracy of the flat bands and breaks their compactly-localized states. We now introduce a mix of order and disorder such that this degeneracy remains and the compactly-localized states are preserved. We obtain the energy-disorder phase diagrams and identify mobility edges. Intriguingly, for large disorder the survival of the compactly-localized states induces the existence of delocalized eigenstates close to the original flat band energies -- yielding seemingly","authors_text":"Carlo Danieli, Jianxin Zhong, Jie Liu, Rudolf A. R\\\"omer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2022-09-29T09:23:31Z","title":"Unconventional delocalization in a family of 3D Lieb lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.14650","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:fbba814f43e6aedeb41749fedeaff4ed3d56ac02c89dbc9f325f9564355edff5","target":"record","created_at":"2026-07-05T05:55:59Z","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":"e328ac01f13f558ec501c444ad827943886cdfe0620e30625bfff131e2dbe579","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2022-09-29T09:23:31Z","title_canon_sha256":"4b545c8e542250e4c93556920f758d66f3ce74eb48dff021fc25ea9ca1462fa1"},"schema_version":"1.0","source":{"id":"2209.14650","kind":"arxiv","version":2}},"canonical_sha256":"e1ede44bcd3a69dfee808a94adefd5ec808bfd3dc3fa2565a4e2a7d149adbf64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1ede44bcd3a69dfee808a94adefd5ec808bfd3dc3fa2565a4e2a7d149adbf64","first_computed_at":"2026-07-05T05:55:59.501440Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:55:59.501440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2GEH07f0IsJ2AzHQsT5Hgxmw1CBWj9ICMvgPIjFQ5zPshCmRmMclm/40XRBvGbHTTXfZjPfSc3855cWoBpAXAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:55:59.501774Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.14650","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbba814f43e6aedeb41749fedeaff4ed3d56ac02c89dbc9f325f9564355edff5","sha256:e5b8533eaaf8ff90130133583fd217dad1d362811322a8e1bc1a2d8b23a44222"],"state_sha256":"fdbc3d376c2d17256003eb8a08178511c56b7182ee952ab4000ab6a02363113f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5jCWAxqF5+YeJFkmNwGpvFhKeJQ5WBJWGwu8X81HZiZ9dwtuAtdKgafFt0TNN64zMtYIzqmAeBdStaMkeuaJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T11:29:42.783747Z","bundle_sha256":"d3994389b9815dbc18301efe8cb791477cf874fbe0b9373d0b6e55791e2bc375"}}