{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:TBEPNVB44FPSJ56IVMWLPZ2PIO","short_pith_number":"pith:TBEPNVB4","canonical_record":{"source":{"id":"1109.4539","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-21T14:25:41Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"17e87638f2947d622120ff75d0e3d0fd60553817766b8056a4c90c69feba52a5","abstract_canon_sha256":"0c8f911521000795cb60337254f250a0322bddc7e5b25cc181b3f5dec1b5597f"},"schema_version":"1.0"},"canonical_sha256":"9848f6d43ce15f24f7c8ab2cb7e74f438a8d60e223f036d6f3925cb860286275","source":{"kind":"arxiv","id":"1109.4539","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4539","created_at":"2026-05-18T03:53:20Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4539v3","created_at":"2026-05-18T03:53:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4539","created_at":"2026-05-18T03:53:20Z"},{"alias_kind":"pith_short_12","alias_value":"TBEPNVB44FPS","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TBEPNVB44FPSJ56I","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TBEPNVB4","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:TBEPNVB44FPSJ56IVMWLPZ2PIO","target":"record","payload":{"canonical_record":{"source":{"id":"1109.4539","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-21T14:25:41Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"17e87638f2947d622120ff75d0e3d0fd60553817766b8056a4c90c69feba52a5","abstract_canon_sha256":"0c8f911521000795cb60337254f250a0322bddc7e5b25cc181b3f5dec1b5597f"},"schema_version":"1.0"},"canonical_sha256":"9848f6d43ce15f24f7c8ab2cb7e74f438a8d60e223f036d6f3925cb860286275","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:20.326502Z","signature_b64":"vGYE5sGpfZgQnUdAcyWwwkMk3FwBbn/4TSdqMDjWi7HGQBYXErmpGAE3wBtRIxiFydihe1NQY2N4VMBeOUpUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9848f6d43ce15f24f7c8ab2cb7e74f438a8d60e223f036d6f3925cb860286275","last_reissued_at":"2026-05-18T03:53:20.325870Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:20.325870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.4539","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:53:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wTisQ8zE9KN/HEXCwrYzLW3Eaa2esCvBSd/EYXdGkUgYAy6Po0kSbDHX5jTlzdz4ocxZr5oo3v3iYpA/vWBKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:42:53.539264Z"},"content_sha256":"c48e923fb1bf73d2460ab39bc9044bdac9a0ec19decddf59fb49c1cc53c87d74","schema_version":"1.0","event_id":"sha256:c48e923fb1bf73d2460ab39bc9044bdac9a0ec19decddf59fb49c1cc53c87d74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:TBEPNVB44FPSJ56IVMWLPZ2PIO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-perturbative Solution of the Unitary, $N$-Orbital Anderson Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.dis-nn","authors_text":"Shimul Akhanjee","submitted_at":"2011-09-21T14:25:41Z","abstract_excerpt":"The mobility edge is extracted from a non-perturbative analysis of F. Wegner's real matrix ensemble (RME), $N$-orbital model of electrons with broken time-reversal invariance moving in random potential. The replicon fluctuations around the zero-dimensional (0D), single metallic grain saddlepoint, are shown to destabilize diffusive regime beyond the low energy limit yielding a precise criteria of localization in terms of a single scaling parameter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4539","kind":"arxiv","version":3},"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":"2026-05-18T03:53:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7NGf7JBt3sOu7A3YexQkwIs4JrOwaZ8KM0kNT/Er/M8i59C+eYdwWYBc+ow4IfFtBh1lAMaffh4qBiXsZiFFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:42:53.539919Z"},"content_sha256":"e4459f2aa3884a486df839fee0c0ac7ff873768bf262090383aeabe7fc8aa292","schema_version":"1.0","event_id":"sha256:e4459f2aa3884a486df839fee0c0ac7ff873768bf262090383aeabe7fc8aa292"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBEPNVB44FPSJ56IVMWLPZ2PIO/bundle.json","state_url":"https://pith.science/pith/TBEPNVB44FPSJ56IVMWLPZ2PIO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBEPNVB44FPSJ56IVMWLPZ2PIO/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":"2026-06-01T04:42:53Z","links":{"resolver":"https://pith.science/pith/TBEPNVB44FPSJ56IVMWLPZ2PIO","bundle":"https://pith.science/pith/TBEPNVB44FPSJ56IVMWLPZ2PIO/bundle.json","state":"https://pith.science/pith/TBEPNVB44FPSJ56IVMWLPZ2PIO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBEPNVB44FPSJ56IVMWLPZ2PIO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TBEPNVB44FPSJ56IVMWLPZ2PIO","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":"0c8f911521000795cb60337254f250a0322bddc7e5b25cc181b3f5dec1b5597f","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-21T14:25:41Z","title_canon_sha256":"17e87638f2947d622120ff75d0e3d0fd60553817766b8056a4c90c69feba52a5"},"schema_version":"1.0","source":{"id":"1109.4539","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4539","created_at":"2026-05-18T03:53:20Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4539v3","created_at":"2026-05-18T03:53:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4539","created_at":"2026-05-18T03:53:20Z"},{"alias_kind":"pith_short_12","alias_value":"TBEPNVB44FPS","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TBEPNVB44FPSJ56I","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TBEPNVB4","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:e4459f2aa3884a486df839fee0c0ac7ff873768bf262090383aeabe7fc8aa292","target":"graph","created_at":"2026-05-18T03:53:20Z","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":"The mobility edge is extracted from a non-perturbative analysis of F. Wegner's real matrix ensemble (RME), $N$-orbital model of electrons with broken time-reversal invariance moving in random potential. The replicon fluctuations around the zero-dimensional (0D), single metallic grain saddlepoint, are shown to destabilize diffusive regime beyond the low energy limit yielding a precise criteria of localization in terms of a single scaling parameter.","authors_text":"Shimul Akhanjee","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-21T14:25:41Z","title":"Non-perturbative Solution of the Unitary, $N$-Orbital Anderson Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4539","kind":"arxiv","version":3},"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:c48e923fb1bf73d2460ab39bc9044bdac9a0ec19decddf59fb49c1cc53c87d74","target":"record","created_at":"2026-05-18T03:53:20Z","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":"0c8f911521000795cb60337254f250a0322bddc7e5b25cc181b3f5dec1b5597f","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-21T14:25:41Z","title_canon_sha256":"17e87638f2947d622120ff75d0e3d0fd60553817766b8056a4c90c69feba52a5"},"schema_version":"1.0","source":{"id":"1109.4539","kind":"arxiv","version":3}},"canonical_sha256":"9848f6d43ce15f24f7c8ab2cb7e74f438a8d60e223f036d6f3925cb860286275","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9848f6d43ce15f24f7c8ab2cb7e74f438a8d60e223f036d6f3925cb860286275","first_computed_at":"2026-05-18T03:53:20.325870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:20.325870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vGYE5sGpfZgQnUdAcyWwwkMk3FwBbn/4TSdqMDjWi7HGQBYXErmpGAE3wBtRIxiFydihe1NQY2N4VMBeOUpUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:20.326502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4539","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c48e923fb1bf73d2460ab39bc9044bdac9a0ec19decddf59fb49c1cc53c87d74","sha256:e4459f2aa3884a486df839fee0c0ac7ff873768bf262090383aeabe7fc8aa292"],"state_sha256":"e5c6c110da99d2f8b4af0f6e71fccfa93d7133ded581dd9a054bcf0c2f947d25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4rdkQJRASdU+mgcmC4/sKm1bMzjSLM33or4/NEB4qn6Ozydz9BT1QxNP/p2gaylrvBnxmLcQiUG0xPTAmQtkAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T04:42:53.542625Z","bundle_sha256":"a4613daef8c988b1c32dd49c1a85233e8e530ecc156f65a12b88ab98c6e577bf"}}