{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5XRZD3LLXVHKZRPZ5CHQVM262R","short_pith_number":"pith:5XRZD3LL","canonical_record":{"source":{"id":"1307.3245","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2013-07-11T20:00:00Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th","quant-ph"],"title_canon_sha256":"bc60a0bf4a50ba66850f55b791515df4d356480168d56d995e22d1a58f33a553","abstract_canon_sha256":"49dc5934757238c797fcf963eb12845529305ba388550d4eecc0616d4f1a65c4"},"schema_version":"1.0"},"canonical_sha256":"ede391ed6bbd4eacc5f9e88f0ab35ed45016d80218d792ac6cdf2e2ddffe2094","source":{"kind":"arxiv","id":"1307.3245","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3245","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3245v2","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3245","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"pith_short_12","alias_value":"5XRZD3LLXVHK","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5XRZD3LLXVHKZRPZ","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5XRZD3LL","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5XRZD3LLXVHKZRPZ5CHQVM262R","target":"record","payload":{"canonical_record":{"source":{"id":"1307.3245","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2013-07-11T20:00:00Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th","quant-ph"],"title_canon_sha256":"bc60a0bf4a50ba66850f55b791515df4d356480168d56d995e22d1a58f33a553","abstract_canon_sha256":"49dc5934757238c797fcf963eb12845529305ba388550d4eecc0616d4f1a65c4"},"schema_version":"1.0"},"canonical_sha256":"ede391ed6bbd4eacc5f9e88f0ab35ed45016d80218d792ac6cdf2e2ddffe2094","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:59.340880Z","signature_b64":"VbVSmWw1OfXOIQ2tLgve0tD+ubUD2WvoJTxZVfHRmmYMANgG6gBVoveeIdyLWC4JxbGFKqb7pwohcxaLUfouAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ede391ed6bbd4eacc5f9e88f0ab35ed45016d80218d792ac6cdf2e2ddffe2094","last_reissued_at":"2026-05-18T03:02:59.340169Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:59.340169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.3245","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":"2026-05-18T03:02:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wHVwV6UoMFeCd3prjMSHtEJho/RjrRJ17EEDlQ5apJcX5piZKMFxK93EPjNs+Wzqihgco5lTKVKbsUqEmHRpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:50:38.401765Z"},"content_sha256":"51ac3b47c3353444192a68fee6f983f75f759b8e5a9d221d182dae1feea43c63","schema_version":"1.0","event_id":"sha256:51ac3b47c3353444192a68fee6f983f75f759b8e5a9d221d182dae1feea43c63"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5XRZD3LLXVHKZRPZ5CHQVM262R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebra of Majorana Doubling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th","quant-ph"],"primary_cat":"cond-mat.supr-con","authors_text":"Frank Wilczek, Jaehoon Lee","submitted_at":"2013-07-11T20:00:00Z","abstract_excerpt":"Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator is highly non-linear in the original effective mode operators, and therefore also in the underlying electron creation and destruction operators. This phenomenon could open up new possibilities for controlled dynamical manipulation of the modes. We briefly compare and contrast related issues in the Pfaffian quantum Hall state."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3245","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":"2026-05-18T03:02:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g2PFJyMzGXluyTGPVGdzhonnfhroE7OyQWhGTgjyi+jEEjatQhg/6YX6dY/ekUT+YBa3lyy+O+oaaQT6qTtYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:50:38.402228Z"},"content_sha256":"86a92e53b60077baa1fecd832cabd3d415e43fde80d2d7d848142e89a8ebc502","schema_version":"1.0","event_id":"sha256:86a92e53b60077baa1fecd832cabd3d415e43fde80d2d7d848142e89a8ebc502"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5XRZD3LLXVHKZRPZ5CHQVM262R/bundle.json","state_url":"https://pith.science/pith/5XRZD3LLXVHKZRPZ5CHQVM262R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5XRZD3LLXVHKZRPZ5CHQVM262R/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":"2026-08-05T19:50:38Z","links":{"resolver":"https://pith.science/pith/5XRZD3LLXVHKZRPZ5CHQVM262R","bundle":"https://pith.science/pith/5XRZD3LLXVHKZRPZ5CHQVM262R/bundle.json","state":"https://pith.science/pith/5XRZD3LLXVHKZRPZ5CHQVM262R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5XRZD3LLXVHKZRPZ5CHQVM262R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5XRZD3LLXVHKZRPZ5CHQVM262R","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":"49dc5934757238c797fcf963eb12845529305ba388550d4eecc0616d4f1a65c4","cross_cats_sorted":["cond-mat.mes-hall","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2013-07-11T20:00:00Z","title_canon_sha256":"bc60a0bf4a50ba66850f55b791515df4d356480168d56d995e22d1a58f33a553"},"schema_version":"1.0","source":{"id":"1307.3245","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3245","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3245v2","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3245","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"pith_short_12","alias_value":"5XRZD3LLXVHK","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5XRZD3LLXVHKZRPZ","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5XRZD3LL","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:86a92e53b60077baa1fecd832cabd3d415e43fde80d2d7d848142e89a8ebc502","target":"graph","created_at":"2026-05-18T03:02:59Z","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":"Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator is highly non-linear in the original effective mode operators, and therefore also in the underlying electron creation and destruction operators. This phenomenon could open up new possibilities for controlled dynamical manipulation of the modes. We briefly compare and contrast related issues in the Pfaffian quantum Hall state.","authors_text":"Frank Wilczek, Jaehoon Lee","cross_cats":["cond-mat.mes-hall","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2013-07-11T20:00:00Z","title":"Algebra of Majorana Doubling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3245","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":"sha256:51ac3b47c3353444192a68fee6f983f75f759b8e5a9d221d182dae1feea43c63","target":"record","created_at":"2026-05-18T03:02:59Z","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":"49dc5934757238c797fcf963eb12845529305ba388550d4eecc0616d4f1a65c4","cross_cats_sorted":["cond-mat.mes-hall","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2013-07-11T20:00:00Z","title_canon_sha256":"bc60a0bf4a50ba66850f55b791515df4d356480168d56d995e22d1a58f33a553"},"schema_version":"1.0","source":{"id":"1307.3245","kind":"arxiv","version":2}},"canonical_sha256":"ede391ed6bbd4eacc5f9e88f0ab35ed45016d80218d792ac6cdf2e2ddffe2094","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ede391ed6bbd4eacc5f9e88f0ab35ed45016d80218d792ac6cdf2e2ddffe2094","first_computed_at":"2026-05-18T03:02:59.340169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:59.340169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VbVSmWw1OfXOIQ2tLgve0tD+ubUD2WvoJTxZVfHRmmYMANgG6gBVoveeIdyLWC4JxbGFKqb7pwohcxaLUfouAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:59.340880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3245","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51ac3b47c3353444192a68fee6f983f75f759b8e5a9d221d182dae1feea43c63","sha256:86a92e53b60077baa1fecd832cabd3d415e43fde80d2d7d848142e89a8ebc502"],"state_sha256":"36cbbc89ef780b0d67dc260e043ec67974edb41baf2377deac4678ae38ca53f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kn7k6RwBEC5TZsIZeVNohq2gatybYxInKDpIt8N/fIDV9Bm8AVHNH4PVuqGE8CZ25nG8FZDi1LCCI7Wskn4oAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T19:50:38.408172Z","bundle_sha256":"c3e1ae2d4bc92020a6c5721d8c5e9b46b652e880c23bb1d44cf34a4d9b4e16b2"}}