{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QK37MDSL76X7Y2QG3AOW73ZXT6","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":"08a297d9f26740c1ead611581e881addce5babf2568f0f534e7a05d063e920b1","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-08-20T13:28:03Z","title_canon_sha256":"68b6241cf79e3057d25c407e3d5048685f3e97587cb05c1ae462fe73c2c2f45c"},"schema_version":"1.0","source":{"id":"1408.4646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4646","created_at":"2026-05-18T02:44:48Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4646v1","created_at":"2026-05-18T02:44:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4646","created_at":"2026-05-18T02:44:48Z"},{"alias_kind":"pith_short_12","alias_value":"QK37MDSL76X7","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QK37MDSL76X7Y2QG","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QK37MDSL","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:a1b4b6f6021938f640939542b6a10ecb963d557cea044110a6aff6d6990c4fb9","target":"graph","created_at":"2026-05-18T02:44:48Z","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":"This short note is a complement to our recent paper [2] where we established strong dynamical localization for a class of multi-particle Anderson models in a Euclidean space with an alloy-type random potential and a sub-exponentially decaying interaction of infinite range. We show that the localized eigenfunctions at low energies actually decay exponentially fast. This improves the results by Fauser and Warzel who established sub-exponential decay of eigenfunctions in presence of a sub-exponentially decaying interaction.","authors_text":"Victor Chulaevsky","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-08-20T13:28:03Z","title":"Exponential decay of eigenfunctions in a continuous multi-particle Anderson model with sub-exponentially decaying interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4646","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":"sha256:7e13ab499f064eca50d892b60f87064ed012155792918905106b17a093d07d3c","target":"record","created_at":"2026-05-18T02:44:48Z","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":"08a297d9f26740c1ead611581e881addce5babf2568f0f534e7a05d063e920b1","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-08-20T13:28:03Z","title_canon_sha256":"68b6241cf79e3057d25c407e3d5048685f3e97587cb05c1ae462fe73c2c2f45c"},"schema_version":"1.0","source":{"id":"1408.4646","kind":"arxiv","version":1}},"canonical_sha256":"82b7f60e4bffaffc6a06d81d6fef379fb222a33f967590f1337bbc98f4eada43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82b7f60e4bffaffc6a06d81d6fef379fb222a33f967590f1337bbc98f4eada43","first_computed_at":"2026-05-18T02:44:48.477729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:48.477729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rX1grYlh8RzXIXsfoMbECwcfxtqkS37OVST8E2PYZ2y5GPMTvZdIiJvDd6S/rwUJKK67VYIdiKDCdbcCfPf2Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:48.478084Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.4646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e13ab499f064eca50d892b60f87064ed012155792918905106b17a093d07d3c","sha256:a1b4b6f6021938f640939542b6a10ecb963d557cea044110a6aff6d6990c4fb9"],"state_sha256":"ee6ffeb135ac39a45c2d6850ce082ae0bdcf5243f5d675aeb4f958092374febe"}