{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2ZCEY4Z5ZVLQMJ7MEI7UYXF7WV","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":"72e9650d0f75c3df1c2793c2ffbb4cbad1901fb7dc6b9d68de04cc1b92569171","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-15T16:50:25Z","title_canon_sha256":"e420416d9175fd47caf8caa56ed681bcb8ff3175eb66cb79b740190d3d88390c"},"schema_version":"1.0","source":{"id":"2509.12123","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.12123","created_at":"2026-07-14T02:21:19Z"},{"alias_kind":"arxiv_version","alias_value":"2509.12123v3","created_at":"2026-07-14T02:21:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.12123","created_at":"2026-07-14T02:21:19Z"},{"alias_kind":"pith_short_12","alias_value":"2ZCEY4Z5ZVLQ","created_at":"2026-07-14T02:21:19Z"},{"alias_kind":"pith_short_16","alias_value":"2ZCEY4Z5ZVLQMJ7M","created_at":"2026-07-14T02:21:19Z"},{"alias_kind":"pith_short_8","alias_value":"2ZCEY4Z5","created_at":"2026-07-14T02:21:19Z"}],"graph_snapshots":[{"event_id":"sha256:840fa68faea59a66e3ef967cbddeb85d694b8b28c1fd519842157af6f393d1d5","target":"graph","created_at":"2026-07-14T02:21:19Z","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/2509.12123/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study asymptotics of the $d=4$, $\\mathcal{N}=1$ superconformal index for toric quiver gauge theories. Using graph-theoretic and algebraic factorization techniques, we obtain a cycle expansion for the large-$N$ index in terms of the $R$-charge-weighted adjacency matrix. Applying saddle-point techniques at the on-shell $R$-charges, we determine the asymptotic degeneracy in the univariate specialization for $\\hat{A}_{m}$, and along the main diagonal for the bivariate index for $\\mathcal{N}=4$ and $\\hat{A}_{3}$. In these cases we find $\\ln |c_{n}| \\sim \\gamma n^{\\frac{1}{2}}+ \\beta \\ln n + \\alp","authors_text":"Ali Zahabi, Souradeep Purkayastha, Zishen Qu","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-15T16:50:25Z","title":"Quiver superconformal index and giant gravitons: asymptotics and expansions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.12123","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:d3a2cb60de3df2a6740d4dd4ed4d01a7f51606c2eb628d947eca9e7f5c93bfb9","target":"record","created_at":"2026-07-14T02:21:19Z","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":"72e9650d0f75c3df1c2793c2ffbb4cbad1901fb7dc6b9d68de04cc1b92569171","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-15T16:50:25Z","title_canon_sha256":"e420416d9175fd47caf8caa56ed681bcb8ff3175eb66cb79b740190d3d88390c"},"schema_version":"1.0","source":{"id":"2509.12123","kind":"arxiv","version":3}},"canonical_sha256":"d6444c733dcd570627ec223f4c5cbfb57e700ed5aa2838de7b7dd01250b0c5d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6444c733dcd570627ec223f4c5cbfb57e700ed5aa2838de7b7dd01250b0c5d6","first_computed_at":"2026-07-14T02:21:19.968081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T02:21:19.968081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bVFnISU0rnh6xyKSK7QxmGAZ3pfKf+9TwtuoAsuIgXafs2LeiJEpE/sU9tMuO+W8dGzQXGC00BCWK8Z30ug7DQ==","signature_status":"signed_v1","signed_at":"2026-07-14T02:21:19.969035Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.12123","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3a2cb60de3df2a6740d4dd4ed4d01a7f51606c2eb628d947eca9e7f5c93bfb9","sha256:840fa68faea59a66e3ef967cbddeb85d694b8b28c1fd519842157af6f393d1d5"],"state_sha256":"92084b2972fa0046d4a346fd2c77061872194d10a0eb993c6f5a010d410133e9"}