{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:EA7DH3FTNBLWMGJJP5IIMULPWX","short_pith_number":"pith:EA7DH3FT","schema_version":"1.0","canonical_sha256":"203e33ecb368576619297f5086516fb5d20bfd50ddb5ba9b37332ff5b78611d1","source":{"kind":"arxiv","id":"2003.05401","version":3},"attestation_state":"computed","paper":{"title":"Correlated Disorder in the SYK$_{2}$ model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Chen-Te Ma, Jeff Murugan, Masaki Tezuka, Pak Hang Chris Lau","submitted_at":"2020-03-11T16:46:29Z","abstract_excerpt":"We study the SYK$_{2}$ model of $N$ Majorana fermions with random quadratic interactions through a detailed spectral analysis and by coupling the model to 2- and 4-point sources. In particular, we define the generalized spectral form factor and level spacing distribution function by generalizing from the partition function to the generating function. For $N=2$, we obtain an exact solution of the generalized spectral form factor. It exhibits qualitatively similar behavior to the higher $N$ case with a source term. The exact solution helps understand the behavior of the generalized spectral form"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2003.05401","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-11T16:46:29Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"fe42f33c5d3bceeffdaab1980847bf35f69c62d1d57f49374dd69c01b99adb06","abstract_canon_sha256":"86593bf2cc65c4f541e35d3ae120b6107a7ca33169b243d8286c03546db35f2e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:47:55.885887Z","signature_b64":"Q+4EeZnAOxnmiNYJ4o/kv681aCgZu3PBG71YAEeQ+LviYaNomygYy7xo8bcd6BVFKdxJmUcr0Kkfw2Go5vreAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"203e33ecb368576619297f5086516fb5d20bfd50ddb5ba9b37332ff5b78611d1","last_reissued_at":"2026-07-05T02:47:55.885489Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:47:55.885489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correlated Disorder in the SYK$_{2}$ model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Chen-Te Ma, Jeff Murugan, Masaki Tezuka, Pak Hang Chris Lau","submitted_at":"2020-03-11T16:46:29Z","abstract_excerpt":"We study the SYK$_{2}$ model of $N$ Majorana fermions with random quadratic interactions through a detailed spectral analysis and by coupling the model to 2- and 4-point sources. In particular, we define the generalized spectral form factor and level spacing distribution function by generalizing from the partition function to the generating function. For $N=2$, we obtain an exact solution of the generalized spectral form factor. It exhibits qualitatively similar behavior to the higher $N$ case with a source term. The exact solution helps understand the behavior of the generalized spectral form"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.05401","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.05401/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2003.05401","created_at":"2026-07-05T02:47:55.885548+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.05401v3","created_at":"2026-07-05T02:47:55.885548+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.05401","created_at":"2026-07-05T02:47:55.885548+00:00"},{"alias_kind":"pith_short_12","alias_value":"EA7DH3FTNBLW","created_at":"2026-07-05T02:47:55.885548+00:00"},{"alias_kind":"pith_short_16","alias_value":"EA7DH3FTNBLWMGJJ","created_at":"2026-07-05T02:47:55.885548+00:00"},{"alias_kind":"pith_short_8","alias_value":"EA7DH3FT","created_at":"2026-07-05T02:47:55.885548+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.08496","citing_title":"Chaotic-Integrable Transition for Disordered Orbital Hatsugai-Kohmoto Model","ref_index":21,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EA7DH3FTNBLWMGJJP5IIMULPWX","json":"https://pith.science/pith/EA7DH3FTNBLWMGJJP5IIMULPWX.json","graph_json":"https://pith.science/api/pith-number/EA7DH3FTNBLWMGJJP5IIMULPWX/graph.json","events_json":"https://pith.science/api/pith-number/EA7DH3FTNBLWMGJJP5IIMULPWX/events.json","paper":"https://pith.science/paper/EA7DH3FT"},"agent_actions":{"view_html":"https://pith.science/pith/EA7DH3FTNBLWMGJJP5IIMULPWX","download_json":"https://pith.science/pith/EA7DH3FTNBLWMGJJP5IIMULPWX.json","view_paper":"https://pith.science/paper/EA7DH3FT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.05401&json=true","fetch_graph":"https://pith.science/api/pith-number/EA7DH3FTNBLWMGJJP5IIMULPWX/graph.json","fetch_events":"https://pith.science/api/pith-number/EA7DH3FTNBLWMGJJP5IIMULPWX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EA7DH3FTNBLWMGJJP5IIMULPWX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EA7DH3FTNBLWMGJJP5IIMULPWX/action/storage_attestation","attest_author":"https://pith.science/pith/EA7DH3FTNBLWMGJJP5IIMULPWX/action/author_attestation","sign_citation":"https://pith.science/pith/EA7DH3FTNBLWMGJJP5IIMULPWX/action/citation_signature","submit_replication":"https://pith.science/pith/EA7DH3FTNBLWMGJJP5IIMULPWX/action/replication_record"}},"created_at":"2026-07-05T02:47:55.885548+00:00","updated_at":"2026-07-05T02:47:55.885548+00:00"}