{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FFOQNJ2VI7LXN7EI55DEDS4MUI","short_pith_number":"pith:FFOQNJ2V","canonical_record":{"source":{"id":"1701.02956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-11T12:49:45Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"cf96ef54959a5d9f3136960cc4e2ebff9bcdcd3ae35b1fa376c1ed0ecc619e18","abstract_canon_sha256":"ddea128d72490523b1ac509a1d65e999f4aec06baf40d77f0cbcadaaa2fb347b"},"schema_version":"1.0"},"canonical_sha256":"295d06a75547d776fc88ef4641cb8ca2157c7a7ab3baa96e73dff7aebe84950c","source":{"kind":"arxiv","id":"1701.02956","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02956","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02956v2","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02956","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"pith_short_12","alias_value":"FFOQNJ2VI7LX","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"pith_short_16","alias_value":"FFOQNJ2VI7LXN7EI","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"pith_short_8","alias_value":"FFOQNJ2V","created_at":"2026-07-05T02:19:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FFOQNJ2VI7LXN7EI55DEDS4MUI","target":"record","payload":{"canonical_record":{"source":{"id":"1701.02956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-11T12:49:45Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"cf96ef54959a5d9f3136960cc4e2ebff9bcdcd3ae35b1fa376c1ed0ecc619e18","abstract_canon_sha256":"ddea128d72490523b1ac509a1d65e999f4aec06baf40d77f0cbcadaaa2fb347b"},"schema_version":"1.0"},"canonical_sha256":"295d06a75547d776fc88ef4641cb8ca2157c7a7ab3baa96e73dff7aebe84950c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:19:23.482815Z","signature_b64":"YyMPt8RQLS6CvqalXVlN4rG0R7IrLuBpGmAq+qX74Wq+5uq099BnqzvVGGhwn1NlYHOFlJtZnq2fxaDrHwpoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"295d06a75547d776fc88ef4641cb8ca2157c7a7ab3baa96e73dff7aebe84950c","last_reissued_at":"2026-07-05T02:19:23.482430Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:19:23.482430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.02956","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":"2026-07-05T02:19:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vu/0R27h0hWQMi3IrlrABf6ZVLZ7L9NGBIvWhYKH5nCLzz/IS3NQT7VXmleD6bTQoR6Z0YmJDVrWptxzrEBmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:05:44.868811Z"},"content_sha256":"989c65c0fb85c4b2357527466523f0a06487000b8b26633bd68e8265df43e11b","schema_version":"1.0","event_id":"sha256:989c65c0fb85c4b2357527466523f0a06487000b8b26633bd68e8265df43e11b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FFOQNJ2VI7LXN7EI55DEDS4MUI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbations of continuum random Schr\\\"odinger operators with applications to Anderson orthogonality and the spectral shift function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Adrian Dietlein, Martin Gebert, Peter M\\\"uller","submitted_at":"2017-01-11T12:49:45Z","abstract_excerpt":"We study effects of a bounded and compactly supported perturbation on multi-dimensional continuum random Schr\\\"odinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schr\\\"odinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11, 560-565 (2015)]. The spectral shift function plays an important role in our analysis of Anderson orthogonalit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02956","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/1701.02956/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":"2026-07-05T02:19:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SH0IAfbkcsEuniYBQMfjShwnPWMQvdyK7nQj9b6lLK44yOdgD+oj3x/cHOOid9nut3fn1wunLISAdjdJ6meIBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:05:44.869314Z"},"content_sha256":"d15a4de2cf91340c4ef5a15dcb7ef7687c2ea69f26a4b56247ebc21495c6bfa8","schema_version":"1.0","event_id":"sha256:d15a4de2cf91340c4ef5a15dcb7ef7687c2ea69f26a4b56247ebc21495c6bfa8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FFOQNJ2VI7LXN7EI55DEDS4MUI/bundle.json","state_url":"https://pith.science/pith/FFOQNJ2VI7LXN7EI55DEDS4MUI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FFOQNJ2VI7LXN7EI55DEDS4MUI/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":"2026-08-11T11:05:44Z","links":{"resolver":"https://pith.science/pith/FFOQNJ2VI7LXN7EI55DEDS4MUI","bundle":"https://pith.science/pith/FFOQNJ2VI7LXN7EI55DEDS4MUI/bundle.json","state":"https://pith.science/pith/FFOQNJ2VI7LXN7EI55DEDS4MUI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FFOQNJ2VI7LXN7EI55DEDS4MUI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FFOQNJ2VI7LXN7EI55DEDS4MUI","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":"ddea128d72490523b1ac509a1d65e999f4aec06baf40d77f0cbcadaaa2fb347b","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-11T12:49:45Z","title_canon_sha256":"cf96ef54959a5d9f3136960cc4e2ebff9bcdcd3ae35b1fa376c1ed0ecc619e18"},"schema_version":"1.0","source":{"id":"1701.02956","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02956","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02956v2","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02956","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"pith_short_12","alias_value":"FFOQNJ2VI7LX","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"pith_short_16","alias_value":"FFOQNJ2VI7LXN7EI","created_at":"2026-07-05T02:19:23Z"},{"alias_kind":"pith_short_8","alias_value":"FFOQNJ2V","created_at":"2026-07-05T02:19:23Z"}],"graph_snapshots":[{"event_id":"sha256:d15a4de2cf91340c4ef5a15dcb7ef7687c2ea69f26a4b56247ebc21495c6bfa8","target":"graph","created_at":"2026-07-05T02:19:23Z","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/1701.02956/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study effects of a bounded and compactly supported perturbation on multi-dimensional continuum random Schr\\\"odinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schr\\\"odinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11, 560-565 (2015)]. The spectral shift function plays an important role in our analysis of Anderson orthogonalit","authors_text":"Adrian Dietlein, Martin Gebert, Peter M\\\"uller","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-11T12:49:45Z","title":"Perturbations of continuum random Schr\\\"odinger operators with applications to Anderson orthogonality and the spectral shift function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02956","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":"sha256:989c65c0fb85c4b2357527466523f0a06487000b8b26633bd68e8265df43e11b","target":"record","created_at":"2026-07-05T02:19:23Z","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":"ddea128d72490523b1ac509a1d65e999f4aec06baf40d77f0cbcadaaa2fb347b","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-11T12:49:45Z","title_canon_sha256":"cf96ef54959a5d9f3136960cc4e2ebff9bcdcd3ae35b1fa376c1ed0ecc619e18"},"schema_version":"1.0","source":{"id":"1701.02956","kind":"arxiv","version":2}},"canonical_sha256":"295d06a75547d776fc88ef4641cb8ca2157c7a7ab3baa96e73dff7aebe84950c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"295d06a75547d776fc88ef4641cb8ca2157c7a7ab3baa96e73dff7aebe84950c","first_computed_at":"2026-07-05T02:19:23.482430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:19:23.482430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YyMPt8RQLS6CvqalXVlN4rG0R7IrLuBpGmAq+qX74Wq+5uq099BnqzvVGGhwn1NlYHOFlJtZnq2fxaDrHwpoDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:19:23.482815Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02956","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:989c65c0fb85c4b2357527466523f0a06487000b8b26633bd68e8265df43e11b","sha256:d15a4de2cf91340c4ef5a15dcb7ef7687c2ea69f26a4b56247ebc21495c6bfa8"],"state_sha256":"a42d4c72fa816767c2e29e23b115caa6ccdb56cf712bf05c1ffb228fad722e5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P3cs1CTMnPC2qtT/cbMy00Iip+5pv05L4rKRpt/jrzSnz0Bct2PDfK3i2EKl0cfhkQzltdEbyvsdtGTl+oBDDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T11:05:44.875217Z","bundle_sha256":"e3bb92c5477abfa204d71faf31a12e7c738e7832bb2a34994fd45f5017d5389b"}}