{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MWUIXQEGEPBDJBT5B42N575TPW","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":"152c3b0c4b1511d895d73a424cf453028db0a23930274d8bfc33268f1dd6be8e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-12T19:00:01Z","title_canon_sha256":"921ec7157c7c083fd667e7882d38f3ac65bfc94fa6878c0ce6a91ce4f6ba985e"},"schema_version":"1.0","source":{"id":"1811.04938","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.04938","created_at":"2026-07-05T05:37:50Z"},{"alias_kind":"arxiv_version","alias_value":"1811.04938v3","created_at":"2026-07-05T05:37:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.04938","created_at":"2026-07-05T05:37:50Z"},{"alias_kind":"pith_short_12","alias_value":"MWUIXQEGEPBD","created_at":"2026-07-05T05:37:50Z"},{"alias_kind":"pith_short_16","alias_value":"MWUIXQEGEPBDJBT5","created_at":"2026-07-05T05:37:50Z"},{"alias_kind":"pith_short_8","alias_value":"MWUIXQEG","created_at":"2026-07-05T05:37:50Z"}],"graph_snapshots":[{"event_id":"sha256:078b7b35bf40f00c3bce100192a5d313d39da9e66896ab32c63e72cb230fc3fb","target":"graph","created_at":"2026-07-05T05:37:50Z","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/1811.04938/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose quantum states for Little String Theories (LSTs) arising from M5 branes probing A- and D-type singularities. This extends Witten's picture of M5 brane partition functions as theta functions to this more general setup. Compactifying the world-volume of the five-branes on a two-torus, we find that the corresponding theta functions are sections of line bundles over complex 4-tori. This formalism allows us to derive Seiberg-Witten curves for the resulting four-dimensional theories. Along the way, we prove a duality for LSTs observed by Iqbal, Hohenegger and Rey.","authors_text":"Babak Haghighat, Rui Sun","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-12T19:00:01Z","title":"M5 branes and Theta Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.04938","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:da77cf0f04dc4750852272d7e26b1df2877f826347ea25c731264cc2357f570c","target":"record","created_at":"2026-07-05T05:37:50Z","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":"152c3b0c4b1511d895d73a424cf453028db0a23930274d8bfc33268f1dd6be8e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-12T19:00:01Z","title_canon_sha256":"921ec7157c7c083fd667e7882d38f3ac65bfc94fa6878c0ce6a91ce4f6ba985e"},"schema_version":"1.0","source":{"id":"1811.04938","kind":"arxiv","version":3}},"canonical_sha256":"65a88bc08623c234867d0f34deffb37da18a8d1447152313743e1988d47d1782","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65a88bc08623c234867d0f34deffb37da18a8d1447152313743e1988d47d1782","first_computed_at":"2026-07-05T05:37:50.227346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:37:50.227346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fDJ3yFbkhtNj1zyOtl5YWaBBtLXugb8mI41yXoc66kiie9cA+/1HYEu/jRIRBbNjDZYghedDbQs0TYbCmKRfDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:37:50.227913Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.04938","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da77cf0f04dc4750852272d7e26b1df2877f826347ea25c731264cc2357f570c","sha256:078b7b35bf40f00c3bce100192a5d313d39da9e66896ab32c63e72cb230fc3fb"],"state_sha256":"fa3e70aa5fda28da7894735d641d6e6284e8d09b705f63f0e2344f7b1ddba6e6"}