{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DLOKCEWYX3B5NGNLPZAJYCAYVI","short_pith_number":"pith:DLOKCEWY","canonical_record":{"source":{"id":"1311.4220","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-17T21:40:44Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"90e0bddc73b2876503f57951c94b8d6133b76da3598de2d6dc4cb53d786848a8","abstract_canon_sha256":"7db7ce50de235ef3a3df6a5986885ea87ce3a01fc5f2bd1d4bf00c3a3c574fd7"},"schema_version":"1.0"},"canonical_sha256":"1adca112d8bec3d699ab7e409c0818aa286e7f585ddc52164e108a6a933ec8f2","source":{"kind":"arxiv","id":"1311.4220","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4220","created_at":"2026-05-18T02:54:14Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4220v2","created_at":"2026-05-18T02:54:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4220","created_at":"2026-05-18T02:54:14Z"},{"alias_kind":"pith_short_12","alias_value":"DLOKCEWYX3B5","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DLOKCEWYX3B5NGNL","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DLOKCEWY","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DLOKCEWYX3B5NGNLPZAJYCAYVI","target":"record","payload":{"canonical_record":{"source":{"id":"1311.4220","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-17T21:40:44Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"90e0bddc73b2876503f57951c94b8d6133b76da3598de2d6dc4cb53d786848a8","abstract_canon_sha256":"7db7ce50de235ef3a3df6a5986885ea87ce3a01fc5f2bd1d4bf00c3a3c574fd7"},"schema_version":"1.0"},"canonical_sha256":"1adca112d8bec3d699ab7e409c0818aa286e7f585ddc52164e108a6a933ec8f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:14.041686Z","signature_b64":"e+Wm9hU6DzIAsEuZO5CnqJa9tOnlW/mzE02gkXHYDAmpTulNSux6bQVifThJ1UvcP35L1w4ZsenmTQYh4RUsAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1adca112d8bec3d699ab7e409c0818aa286e7f585ddc52164e108a6a933ec8f2","last_reissued_at":"2026-05-18T02:54:14.041167Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:14.041167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.4220","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":"2026-05-18T02:54:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpcnCYAFJCy1187eqqrBZC6FQqpkjMs9KAWTEshcqW8ZIt/i5c09kwmkOgZi3/474cw++EYm5H3R2NhXWZaKCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:42:06.290348Z"},"content_sha256":"c6fdb0fe00db08687c2893b570a6bc5552202ac5625f3e4475c8dc1830e27859","schema_version":"1.0","event_id":"sha256:c6fdb0fe00db08687c2893b570a6bc5552202ac5625f3e4475c8dc1830e27859"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DLOKCEWYX3B5NGNLPZAJYCAYVI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Abel Klein, Son Nguyen","submitted_at":"2013-11-17T21:40:44Z","abstract_excerpt":"We extend the bootstrap multiscale analysis developed by Germinet and Klein to the multi-particle continuous Anderson Hamiltonian, obtaining Anderson localization with finite multiplicity of eigenvalues, decay of eigenfunction correlations, and a strong form of dynamical localization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4220","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":"2026-05-18T02:54:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gvCajgdpIkrOobgCYZSZ+5DNAeQRjtFoBfcXrrtqxt9pXgpqnhjgxZUs1nHkSdDpEgBN7SBhDesGJNboAWuiCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:42:06.291010Z"},"content_sha256":"632558f01090377bfcfa5517003b2e841da61d2ec55e9f1c93185e6d657a8f02","schema_version":"1.0","event_id":"sha256:632558f01090377bfcfa5517003b2e841da61d2ec55e9f1c93185e6d657a8f02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DLOKCEWYX3B5NGNLPZAJYCAYVI/bundle.json","state_url":"https://pith.science/pith/DLOKCEWYX3B5NGNLPZAJYCAYVI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DLOKCEWYX3B5NGNLPZAJYCAYVI/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":"2026-05-25T17:42:06Z","links":{"resolver":"https://pith.science/pith/DLOKCEWYX3B5NGNLPZAJYCAYVI","bundle":"https://pith.science/pith/DLOKCEWYX3B5NGNLPZAJYCAYVI/bundle.json","state":"https://pith.science/pith/DLOKCEWYX3B5NGNLPZAJYCAYVI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DLOKCEWYX3B5NGNLPZAJYCAYVI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DLOKCEWYX3B5NGNLPZAJYCAYVI","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":"7db7ce50de235ef3a3df6a5986885ea87ce3a01fc5f2bd1d4bf00c3a3c574fd7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-17T21:40:44Z","title_canon_sha256":"90e0bddc73b2876503f57951c94b8d6133b76da3598de2d6dc4cb53d786848a8"},"schema_version":"1.0","source":{"id":"1311.4220","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4220","created_at":"2026-05-18T02:54:14Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4220v2","created_at":"2026-05-18T02:54:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4220","created_at":"2026-05-18T02:54:14Z"},{"alias_kind":"pith_short_12","alias_value":"DLOKCEWYX3B5","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DLOKCEWYX3B5NGNL","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DLOKCEWY","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:632558f01090377bfcfa5517003b2e841da61d2ec55e9f1c93185e6d657a8f02","target":"graph","created_at":"2026-05-18T02:54:14Z","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 extend the bootstrap multiscale analysis developed by Germinet and Klein to the multi-particle continuous Anderson Hamiltonian, obtaining Anderson localization with finite multiplicity of eigenvalues, decay of eigenfunction correlations, and a strong form of dynamical localization.","authors_text":"Abel Klein, Son Nguyen","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-17T21:40:44Z","title":"Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4220","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:c6fdb0fe00db08687c2893b570a6bc5552202ac5625f3e4475c8dc1830e27859","target":"record","created_at":"2026-05-18T02:54:14Z","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":"7db7ce50de235ef3a3df6a5986885ea87ce3a01fc5f2bd1d4bf00c3a3c574fd7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-17T21:40:44Z","title_canon_sha256":"90e0bddc73b2876503f57951c94b8d6133b76da3598de2d6dc4cb53d786848a8"},"schema_version":"1.0","source":{"id":"1311.4220","kind":"arxiv","version":2}},"canonical_sha256":"1adca112d8bec3d699ab7e409c0818aa286e7f585ddc52164e108a6a933ec8f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1adca112d8bec3d699ab7e409c0818aa286e7f585ddc52164e108a6a933ec8f2","first_computed_at":"2026-05-18T02:54:14.041167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:14.041167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e+Wm9hU6DzIAsEuZO5CnqJa9tOnlW/mzE02gkXHYDAmpTulNSux6bQVifThJ1UvcP35L1w4ZsenmTQYh4RUsAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:14.041686Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4220","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6fdb0fe00db08687c2893b570a6bc5552202ac5625f3e4475c8dc1830e27859","sha256:632558f01090377bfcfa5517003b2e841da61d2ec55e9f1c93185e6d657a8f02"],"state_sha256":"fb7d8474400cf5184a5fe898619cacc2a4fd972e177f7429a81e6c9f8e083125"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"phU1MRv5ttMtACY8h7iY60zD1hB97ccLZCSPlf2X+hRExLvTghzOiMONjXVAUki8KOHkRbksVuvF1xvD2asEDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:42:06.294715Z","bundle_sha256":"be9de8e680f7312258c41cc8e32a30f7e4ed025949a222f30f2f06d06245714e"}}