{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ENRWK3BZUYTZH5RP75J42YUB43","short_pith_number":"pith:ENRWK3BZ","canonical_record":{"source":{"id":"2602.23600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-02-27T02:10:22Z","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"title_canon_sha256":"f0a3e31cd9b49a3d7c040d12ddbb95f58d84d3a8fb3689b1d5288060ffc95ea4","abstract_canon_sha256":"49ef4af7ebd3a41fa98bf8e504afdf4b0f3f7d679e5d4d3b306c59a806bd94c8"},"schema_version":"1.0"},"canonical_sha256":"2363656c39a62793f62fff53cd6281e6da9424f0b61718a20756ab5f721fff1e","source":{"kind":"arxiv","id":"2602.23600","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.23600","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"arxiv_version","alias_value":"2602.23600v1","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.23600","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"pith_short_12","alias_value":"ENRWK3BZUYTZ","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"pith_short_16","alias_value":"ENRWK3BZUYTZH5RP","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"pith_short_8","alias_value":"ENRWK3BZ","created_at":"2026-06-23T01:12:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ENRWK3BZUYTZH5RP75J42YUB43","target":"record","payload":{"canonical_record":{"source":{"id":"2602.23600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-02-27T02:10:22Z","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"title_canon_sha256":"f0a3e31cd9b49a3d7c040d12ddbb95f58d84d3a8fb3689b1d5288060ffc95ea4","abstract_canon_sha256":"49ef4af7ebd3a41fa98bf8e504afdf4b0f3f7d679e5d4d3b306c59a806bd94c8"},"schema_version":"1.0"},"canonical_sha256":"2363656c39a62793f62fff53cd6281e6da9424f0b61718a20756ab5f721fff1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:12:02.358960Z","signature_b64":"pqktxdZwBpIdjDs/MKtv0g9eqbJU2U7keqAq4ujM3NGjzZ2o0g66A7JCPZZ4AtnMx7VxYPo3Asb1blkJaY+FCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2363656c39a62793f62fff53cd6281e6da9424f0b61718a20756ab5f721fff1e","last_reissued_at":"2026-06-23T01:12:02.358418Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:12:02.358418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.23600","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":"2026-06-23T01:12:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kos8YAwQBwTeADVphltKH3ja9DFhTqgzavT7D963jU9MVy+BJE6M0nr2gJDm0PYZ6uRDUXCWmTDcNcbftQVaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:54:07.110201Z"},"content_sha256":"da3350b6b5ece377ffccd77128748c5fa3b97fb41316c5edc014a0a3a879f465","schema_version":"1.0","event_id":"sha256:da3350b6b5ece377ffccd77128748c5fa3b97fb41316c5edc014a0a3a879f465"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ENRWK3BZUYTZH5RP75J42YUB43","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second-quantized approach to the study of Halperin state in fractional quantum Hall effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Li Chen, Zhiping Yao","submitted_at":"2026-02-27T02:10:22Z","abstract_excerpt":"We give a recursion relation for the second-quantized fermionic (bosonic) Halperin state, which avoids exact diagonalization of its two-component first-quantized parent Hamiltonian. We validate this formula by proving that the second-quantized Halperin state, as recursively defined in this formula, is indeed a zero mode of the corresponding second-quantized parent Hamiltonian and that it has the correct filling factor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.23600","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.23600/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-23T01:12:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9uLxFv9N9AjILJimwWSj3Rzmr1p3FY1xc+mIwSkpXTyZKZ/a9dir0aZsBmIb3EfUWgn5Vr6BVA/QZ+VOEGIrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:54:07.110716Z"},"content_sha256":"7ee40287ac26182d079eb23fe7ae7d5b7486a15c1b4fb221092af1c20a7ca3ac","schema_version":"1.0","event_id":"sha256:7ee40287ac26182d079eb23fe7ae7d5b7486a15c1b4fb221092af1c20a7ca3ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ENRWK3BZUYTZH5RP75J42YUB43/bundle.json","state_url":"https://pith.science/pith/ENRWK3BZUYTZH5RP75J42YUB43/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ENRWK3BZUYTZH5RP75J42YUB43/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":"2026-08-06T07:54:07Z","links":{"resolver":"https://pith.science/pith/ENRWK3BZUYTZH5RP75J42YUB43","bundle":"https://pith.science/pith/ENRWK3BZUYTZH5RP75J42YUB43/bundle.json","state":"https://pith.science/pith/ENRWK3BZUYTZH5RP75J42YUB43/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ENRWK3BZUYTZH5RP75J42YUB43/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ENRWK3BZUYTZH5RP75J42YUB43","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":"49ef4af7ebd3a41fa98bf8e504afdf4b0f3f7d679e5d4d3b306c59a806bd94c8","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-02-27T02:10:22Z","title_canon_sha256":"f0a3e31cd9b49a3d7c040d12ddbb95f58d84d3a8fb3689b1d5288060ffc95ea4"},"schema_version":"1.0","source":{"id":"2602.23600","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.23600","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"arxiv_version","alias_value":"2602.23600v1","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.23600","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"pith_short_12","alias_value":"ENRWK3BZUYTZ","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"pith_short_16","alias_value":"ENRWK3BZUYTZH5RP","created_at":"2026-06-23T01:12:02Z"},{"alias_kind":"pith_short_8","alias_value":"ENRWK3BZ","created_at":"2026-06-23T01:12:02Z"}],"graph_snapshots":[{"event_id":"sha256:7ee40287ac26182d079eb23fe7ae7d5b7486a15c1b4fb221092af1c20a7ca3ac","target":"graph","created_at":"2026-06-23T01:12:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2602.23600/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a recursion relation for the second-quantized fermionic (bosonic) Halperin state, which avoids exact diagonalization of its two-component first-quantized parent Hamiltonian. We validate this formula by proving that the second-quantized Halperin state, as recursively defined in this formula, is indeed a zero mode of the corresponding second-quantized parent Hamiltonian and that it has the correct filling factor.","authors_text":"Li Chen, Zhiping Yao","cross_cats":["cond-mat.mes-hall","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-02-27T02:10:22Z","title":"Second-quantized approach to the study of Halperin state in fractional quantum Hall effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.23600","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:da3350b6b5ece377ffccd77128748c5fa3b97fb41316c5edc014a0a3a879f465","target":"record","created_at":"2026-06-23T01:12:02Z","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":"49ef4af7ebd3a41fa98bf8e504afdf4b0f3f7d679e5d4d3b306c59a806bd94c8","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-02-27T02:10:22Z","title_canon_sha256":"f0a3e31cd9b49a3d7c040d12ddbb95f58d84d3a8fb3689b1d5288060ffc95ea4"},"schema_version":"1.0","source":{"id":"2602.23600","kind":"arxiv","version":1}},"canonical_sha256":"2363656c39a62793f62fff53cd6281e6da9424f0b61718a20756ab5f721fff1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2363656c39a62793f62fff53cd6281e6da9424f0b61718a20756ab5f721fff1e","first_computed_at":"2026-06-23T01:12:02.358418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:12:02.358418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pqktxdZwBpIdjDs/MKtv0g9eqbJU2U7keqAq4ujM3NGjzZ2o0g66A7JCPZZ4AtnMx7VxYPo3Asb1blkJaY+FCQ==","signature_status":"signed_v1","signed_at":"2026-06-23T01:12:02.358960Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.23600","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da3350b6b5ece377ffccd77128748c5fa3b97fb41316c5edc014a0a3a879f465","sha256:7ee40287ac26182d079eb23fe7ae7d5b7486a15c1b4fb221092af1c20a7ca3ac"],"state_sha256":"9a0f1f4f7bcdabaef8941e7003c44c7f2cd07fad7fdb148b8b64f24e827dc725"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6w2nhedwlxPl0+rsSMSZcE3s1wgexGNbfVl/YGvxMD8j393BqaA/jDsgntCBG0x97oJB1osN3txdcBcieQKtCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T07:54:07.114827Z","bundle_sha256":"066cdcda5c7359b33f3df2ce906722a8d59f03e9662ae149780b1f3241e39964"}}