{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:UXVBIDW3YZ3VTLD666VBL6BGMO","short_pith_number":"pith:UXVBIDW3","canonical_record":{"source":{"id":"cond-mat/9503057","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1995-03-10T12:59:48Z","cross_cats_sorted":[],"title_canon_sha256":"5c2a0d97fc90f31ced02ec7ee8d1aeb393fe1dd1b2f8b26e73d52d2ac933f348","abstract_canon_sha256":"9814e4adbad2c95ea1216b2b36d45887c5ac5d1c0b3186e3fce00c5b2e6ce1a3"},"schema_version":"1.0"},"canonical_sha256":"a5ea140edbc67759ac7ef7aa15f82663a88d4e68d4ac8e0f1f368990962f6f12","source":{"kind":"arxiv","id":"cond-mat/9503057","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9503057","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9503057v1","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9503057","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"pith_short_12","alias_value":"UXVBIDW3YZ3V","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"UXVBIDW3YZ3VTLD6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"UXVBIDW3","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:UXVBIDW3YZ3VTLD666VBL6BGMO","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9503057","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1995-03-10T12:59:48Z","cross_cats_sorted":[],"title_canon_sha256":"5c2a0d97fc90f31ced02ec7ee8d1aeb393fe1dd1b2f8b26e73d52d2ac933f348","abstract_canon_sha256":"9814e4adbad2c95ea1216b2b36d45887c5ac5d1c0b3186e3fce00c5b2e6ce1a3"},"schema_version":"1.0"},"canonical_sha256":"a5ea140edbc67759ac7ef7aa15f82663a88d4e68d4ac8e0f1f368990962f6f12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:35.239938Z","signature_b64":"CN0AVk9hqtkb4Ci6c4kz2vHa63FlfWDbvtuVVyeSGqGuRApzxi96YEmf13QAHQTg7zSeB9L2plmbpHXMuBmPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5ea140edbc67759ac7ef7aa15f82663a88d4e68d4ac8e0f1f368990962f6f12","last_reissued_at":"2026-05-18T01:39:35.239342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:35.239342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9503057","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qzytx9SyAkXZdFYU1OXuVbZbHJzUDXzXK8tGKnd1+sD79Ty8tEk7YsWl+T9PS+fYEpHdF2LZLFqzq+BVh/IsDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T20:31:51.915929Z"},"content_sha256":"4c5ad7c3622c597876cff506ad9ac44ecc43f2a0db0abd2f87d114fa197d5555","schema_version":"1.0","event_id":"sha256:4c5ad7c3622c597876cff506ad9ac44ecc43f2a0db0abd2f87d114fa197d5555"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:UXVBIDW3YZ3VTLD666VBL6BGMO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Fate of Lifshitz Tails in Magnetic Fields","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Dirk Hundertmark, Hajo Leschke, Kurt Broderix, Werner Kirsch","submitted_at":"1995-03-10T12:59:48Z","abstract_excerpt":"We investigate the integrated density of states of the Schr\\\"odinger operator in the Euclidean plane with a perpendicular constant magnetic field and a random potential. For a Poisson random potential with a non-negative algebraically decaying single-impurity potential we prove that the leading asymptotic behaviour for small energies is always given by the corresponding classical result in contrast to the case of vanishing magnetic field. We also show that the integrated density of states of the operator restricted to the eigenspace of any Landau level exhibits the same behaviour. For the lowe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9503057","kind":"arxiv","version":1},"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":"2026-05-18T01:39:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XuVii0a1sNbHnf1sTslXXa+7NPty/ixt32y3/Rl2xLESaWC2OJr4CNS5Dk55+TNuy17kGY2y5BH6xTbGhusTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T20:31:51.916276Z"},"content_sha256":"59c14b4a41b0f9cc86a5fe88ac64c9ccb77139df665ec6e28c6b9a2cf0c0c7a1","schema_version":"1.0","event_id":"sha256:59c14b4a41b0f9cc86a5fe88ac64c9ccb77139df665ec6e28c6b9a2cf0c0c7a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UXVBIDW3YZ3VTLD666VBL6BGMO/bundle.json","state_url":"https://pith.science/pith/UXVBIDW3YZ3VTLD666VBL6BGMO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UXVBIDW3YZ3VTLD666VBL6BGMO/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":"2026-05-22T20:31:51Z","links":{"resolver":"https://pith.science/pith/UXVBIDW3YZ3VTLD666VBL6BGMO","bundle":"https://pith.science/pith/UXVBIDW3YZ3VTLD666VBL6BGMO/bundle.json","state":"https://pith.science/pith/UXVBIDW3YZ3VTLD666VBL6BGMO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UXVBIDW3YZ3VTLD666VBL6BGMO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:UXVBIDW3YZ3VTLD666VBL6BGMO","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":"9814e4adbad2c95ea1216b2b36d45887c5ac5d1c0b3186e3fce00c5b2e6ce1a3","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1995-03-10T12:59:48Z","title_canon_sha256":"5c2a0d97fc90f31ced02ec7ee8d1aeb393fe1dd1b2f8b26e73d52d2ac933f348"},"schema_version":"1.0","source":{"id":"cond-mat/9503057","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9503057","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9503057v1","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9503057","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"pith_short_12","alias_value":"UXVBIDW3YZ3V","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"UXVBIDW3YZ3VTLD6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"UXVBIDW3","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:59c14b4a41b0f9cc86a5fe88ac64c9ccb77139df665ec6e28c6b9a2cf0c0c7a1","target":"graph","created_at":"2026-05-18T01:39:35Z","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 investigate the integrated density of states of the Schr\\\"odinger operator in the Euclidean plane with a perpendicular constant magnetic field and a random potential. For a Poisson random potential with a non-negative algebraically decaying single-impurity potential we prove that the leading asymptotic behaviour for small energies is always given by the corresponding classical result in contrast to the case of vanishing magnetic field. We also show that the integrated density of states of the operator restricted to the eigenspace of any Landau level exhibits the same behaviour. For the lowe","authors_text":"Dirk Hundertmark, Hajo Leschke, Kurt Broderix, Werner Kirsch","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1995-03-10T12:59:48Z","title":"The Fate of Lifshitz Tails in Magnetic Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9503057","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":"sha256:4c5ad7c3622c597876cff506ad9ac44ecc43f2a0db0abd2f87d114fa197d5555","target":"record","created_at":"2026-05-18T01:39:35Z","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":"9814e4adbad2c95ea1216b2b36d45887c5ac5d1c0b3186e3fce00c5b2e6ce1a3","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1995-03-10T12:59:48Z","title_canon_sha256":"5c2a0d97fc90f31ced02ec7ee8d1aeb393fe1dd1b2f8b26e73d52d2ac933f348"},"schema_version":"1.0","source":{"id":"cond-mat/9503057","kind":"arxiv","version":1}},"canonical_sha256":"a5ea140edbc67759ac7ef7aa15f82663a88d4e68d4ac8e0f1f368990962f6f12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5ea140edbc67759ac7ef7aa15f82663a88d4e68d4ac8e0f1f368990962f6f12","first_computed_at":"2026-05-18T01:39:35.239342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:35.239342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CN0AVk9hqtkb4Ci6c4kz2vHa63FlfWDbvtuVVyeSGqGuRApzxi96YEmf13QAHQTg7zSeB9L2plmbpHXMuBmPBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:35.239938Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9503057","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c5ad7c3622c597876cff506ad9ac44ecc43f2a0db0abd2f87d114fa197d5555","sha256:59c14b4a41b0f9cc86a5fe88ac64c9ccb77139df665ec6e28c6b9a2cf0c0c7a1"],"state_sha256":"28353d25844755ca0201b5845f21962099f9fa0e35511827b2813b79a6bc36fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vJMfXXqV/shfD0RHq+pI82vdIGtY77B9rYeU3eAq/WeqXrXIGIs5EGxsu/wW3+VyfhYKIUT8K6IeSJ5nbAqcCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T20:31:51.918335Z","bundle_sha256":"8727b6ddc1416b41fa785d4cb0f53b4c7a524ce4d3f3a8174484e9ccad420050"}}