{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:XPXRJB2F75NKOMFLRG2IFTO3QV","short_pith_number":"pith:XPXRJB2F","canonical_record":{"source":{"id":"1006.4049","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-06-21T12:20:59Z","cross_cats_sorted":[],"title_canon_sha256":"46b169aeffe039ecd4824d3f139c6a3da17c1f72eb165cefe8ba3dc580c9c6b2","abstract_canon_sha256":"2b039d71dd3f93d2766fc51ef1b5afd3a2d2d5f9626452da1017320abcfa740c"},"schema_version":"1.0"},"canonical_sha256":"bbef148745ff5aa730ab89b482cddb85633e1169772e700fb954b789885ff0c1","source":{"kind":"arxiv","id":"1006.4049","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4049","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4049v2","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4049","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"XPXRJB2F75NK","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XPXRJB2F75NKOMFL","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XPXRJB2F","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:XPXRJB2F75NKOMFLRG2IFTO3QV","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4049","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-06-21T12:20:59Z","cross_cats_sorted":[],"title_canon_sha256":"46b169aeffe039ecd4824d3f139c6a3da17c1f72eb165cefe8ba3dc580c9c6b2","abstract_canon_sha256":"2b039d71dd3f93d2766fc51ef1b5afd3a2d2d5f9626452da1017320abcfa740c"},"schema_version":"1.0"},"canonical_sha256":"bbef148745ff5aa730ab89b482cddb85633e1169772e700fb954b789885ff0c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:44.127561Z","signature_b64":"SRzftfliFCYTwqgM4ncZWbBtgiZuYOKLqjo/ZMGGntxKLOR3/wqQhqteDoyz1HQAgZgjwRNM9R7YNL3ZaZpXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbef148745ff5aa730ab89b482cddb85633e1169772e700fb954b789885ff0c1","last_reissued_at":"2026-05-18T02:06:44.126856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:44.126856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4049","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":"2026-05-18T02:06:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A3Ykzt0JeR8YP3mW5md8kl1LsodvY6ThqC9YqE58VR3xUvOJ4SKe+rIuOcdTCrNb38etcWPNzpmhbaHPISpQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:03:59.134673Z"},"content_sha256":"914dd3473eddd582c000a7194ae44eec414c15b0f7c44f16b0e35443e59bcd0a","schema_version":"1.0","event_id":"sha256:914dd3473eddd582c000a7194ae44eec414c15b0f7c44f16b0e35443e59bcd0a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:XPXRJB2F75NKOMFLRG2IFTO3QV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localized and extended states in a disordered trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Laurent Sanchez-Palencia (LCFIO), Luca Pezz\\'e (LCFIO)","submitted_at":"2010-06-21T12:20:59Z","abstract_excerpt":"We study Anderson localization in a disordered potential combined with an inhomogeneous trap. We show that the spectrum displays both localized and extended states, which coexist at intermediate energies. In the region of coexistence, we find that the extended states result from confinement by the trap and are weakly affected by the disorder. Conversely, the localized states correspond to eigenstates of the disordered potential, which are only affected by the trap via an inhomogeneous energy shift. These results are relevant to disordered quantum gases and we propose a realistic scheme to obse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4049","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":""},"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":"2026-05-18T02:06:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LuGct3hY+wekiNJ6S8KF6C5zFA6bYOdFH5ORDhEAnMql7K/kuh+Qa2YTQ/BpmC7hjg0FUL70OFNREkoRoZBOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:03:59.135403Z"},"content_sha256":"c6eb2947f7bfd3fdcfa1012c701864a1ce6cf2a6899ac6b31c9a1808027b32c9","schema_version":"1.0","event_id":"sha256:c6eb2947f7bfd3fdcfa1012c701864a1ce6cf2a6899ac6b31c9a1808027b32c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XPXRJB2F75NKOMFLRG2IFTO3QV/bundle.json","state_url":"https://pith.science/pith/XPXRJB2F75NKOMFLRG2IFTO3QV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XPXRJB2F75NKOMFLRG2IFTO3QV/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":"2026-06-07T14:03:59Z","links":{"resolver":"https://pith.science/pith/XPXRJB2F75NKOMFLRG2IFTO3QV","bundle":"https://pith.science/pith/XPXRJB2F75NKOMFLRG2IFTO3QV/bundle.json","state":"https://pith.science/pith/XPXRJB2F75NKOMFLRG2IFTO3QV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XPXRJB2F75NKOMFLRG2IFTO3QV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XPXRJB2F75NKOMFLRG2IFTO3QV","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":"2b039d71dd3f93d2766fc51ef1b5afd3a2d2d5f9626452da1017320abcfa740c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-06-21T12:20:59Z","title_canon_sha256":"46b169aeffe039ecd4824d3f139c6a3da17c1f72eb165cefe8ba3dc580c9c6b2"},"schema_version":"1.0","source":{"id":"1006.4049","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4049","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4049v2","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4049","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"XPXRJB2F75NK","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XPXRJB2F75NKOMFL","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XPXRJB2F","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:c6eb2947f7bfd3fdcfa1012c701864a1ce6cf2a6899ac6b31c9a1808027b32c9","target":"graph","created_at":"2026-05-18T02:06:44Z","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 study Anderson localization in a disordered potential combined with an inhomogeneous trap. We show that the spectrum displays both localized and extended states, which coexist at intermediate energies. In the region of coexistence, we find that the extended states result from confinement by the trap and are weakly affected by the disorder. Conversely, the localized states correspond to eigenstates of the disordered potential, which are only affected by the trap via an inhomogeneous energy shift. These results are relevant to disordered quantum gases and we propose a realistic scheme to obse","authors_text":"Laurent Sanchez-Palencia (LCFIO), Luca Pezz\\'e (LCFIO)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-06-21T12:20:59Z","title":"Localized and extended states in a disordered trap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4049","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":"sha256:914dd3473eddd582c000a7194ae44eec414c15b0f7c44f16b0e35443e59bcd0a","target":"record","created_at":"2026-05-18T02:06:44Z","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":"2b039d71dd3f93d2766fc51ef1b5afd3a2d2d5f9626452da1017320abcfa740c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-06-21T12:20:59Z","title_canon_sha256":"46b169aeffe039ecd4824d3f139c6a3da17c1f72eb165cefe8ba3dc580c9c6b2"},"schema_version":"1.0","source":{"id":"1006.4049","kind":"arxiv","version":2}},"canonical_sha256":"bbef148745ff5aa730ab89b482cddb85633e1169772e700fb954b789885ff0c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbef148745ff5aa730ab89b482cddb85633e1169772e700fb954b789885ff0c1","first_computed_at":"2026-05-18T02:06:44.126856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:44.126856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SRzftfliFCYTwqgM4ncZWbBtgiZuYOKLqjo/ZMGGntxKLOR3/wqQhqteDoyz1HQAgZgjwRNM9R7YNL3ZaZpXCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:44.127561Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4049","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:914dd3473eddd582c000a7194ae44eec414c15b0f7c44f16b0e35443e59bcd0a","sha256:c6eb2947f7bfd3fdcfa1012c701864a1ce6cf2a6899ac6b31c9a1808027b32c9"],"state_sha256":"85ac55ade73792d5e3e160bb9bd3192b582585557e95424d3f73feeb78a9a8e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yik1zxVN3VaMYamaU1SwT1QX6JZXldDbUcGkkQSYB2NrfYBibd+0fnFbts+WAX4Agp0hTBuNhzg84equ3cp/Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:03:59.139696Z","bundle_sha256":"cbc07271806987f403d93b7df6f022e5f21bdb7e5b8c77e336bef20c51db166a"}}