{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZBGKGEDHSFPJK4B35DGPVRGVTT","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":"14b822a5afb4112782ca73d1b077d6db226dfbeb9fdd1e34ca3d301f7ea4befe","cross_cats_sorted":["hep-th","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-30T14:31:29Z","title_canon_sha256":"b1c161b5a4e869c66a8861e7320f6e1e8ce9dd768676bc77d144f1c4598460ee"},"schema_version":"1.0","source":{"id":"1808.10314","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.10314","created_at":"2026-07-05T00:30:52Z"},{"alias_kind":"arxiv_version","alias_value":"1808.10314v1","created_at":"2026-07-05T00:30:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.10314","created_at":"2026-07-05T00:30:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZBGKGEDHSFPJ","created_at":"2026-07-05T00:30:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZBGKGEDHSFPJK4B3","created_at":"2026-07-05T00:30:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZBGKGEDH","created_at":"2026-07-05T00:30:52Z"}],"graph_snapshots":[{"event_id":"sha256:f986e1d541c2edae69d2caa15126ed8ef2fcec5546cade85d54287d20ab7f901","target":"graph","created_at":"2026-07-05T00:30:52Z","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/1808.10314/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A crucial result on the celebrated Sachdev-Ye-Kitaev model is that its large $N$ limit is dominated by melonic graphs. In this letter we offer a rigorous, diagrammatic proof of that result by direct, combinatorial analysis of its Feynman graphs.","authors_text":"Adrian Tanasa, Valentin Bonzom, Victor Nador","cross_cats":["hep-th","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-30T14:31:29Z","title":"Diagrammatic proof of the large $N$ melonic dominance in the SYK model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10314","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":"sha256:8938fc2cbd60cc3976fa639eed8a9626925afa5bc77d2e4f1bd90633e59e5bb0","target":"record","created_at":"2026-07-05T00:30:52Z","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":"14b822a5afb4112782ca73d1b077d6db226dfbeb9fdd1e34ca3d301f7ea4befe","cross_cats_sorted":["hep-th","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-30T14:31:29Z","title_canon_sha256":"b1c161b5a4e869c66a8861e7320f6e1e8ce9dd768676bc77d144f1c4598460ee"},"schema_version":"1.0","source":{"id":"1808.10314","kind":"arxiv","version":1}},"canonical_sha256":"c84ca31067915e95703be8ccfac4d59cf8994fe9154f2167daa9b5623e688bf0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c84ca31067915e95703be8ccfac4d59cf8994fe9154f2167daa9b5623e688bf0","first_computed_at":"2026-07-05T00:30:52.154913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:30:52.154913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+NFNtutLDd3LUAD5x6Peah7BeltHhuBrBPOO9rhWpV694A9iEXF+PVLbBylJq8M3HLnE3AWZlA/sNkLnnLPBCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:30:52.155369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.10314","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8938fc2cbd60cc3976fa639eed8a9626925afa5bc77d2e4f1bd90633e59e5bb0","sha256:f986e1d541c2edae69d2caa15126ed8ef2fcec5546cade85d54287d20ab7f901"],"state_sha256":"50350aa4cd4fd24cf7003b7287dc0b40ff97b07677f76f12059834e787e03db2"}