{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:JF3NOBP457LS4ANNAP5Q7SOSQD","short_pith_number":"pith:JF3NOBP4","canonical_record":{"source":{"id":"2306.16434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-28T18:00:00Z","cross_cats_sorted":["math-ph","math.AG","math.MP","math.QA"],"title_canon_sha256":"674c783f5db6394c32d3012dbca4b9731306ab65c43a109239b140a8945968f2","abstract_canon_sha256":"4eaaaf05147c66f537185eaf1090a7f4be5ab6dfddb16b0a24a600d288c85a13"},"schema_version":"1.0"},"canonical_sha256":"4976d705fcefd72e01ad03fb0fc9d280e92d0337726155a76f3e11397d7938ac","source":{"kind":"arxiv","id":"2306.16434","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.16434","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"arxiv_version","alias_value":"2306.16434v1","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.16434","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"pith_short_12","alias_value":"JF3NOBP457LS","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"JF3NOBP457LS4ANN","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"JF3NOBP4","created_at":"2026-07-05T06:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:JF3NOBP457LS4ANNAP5Q7SOSQD","target":"record","payload":{"canonical_record":{"source":{"id":"2306.16434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-28T18:00:00Z","cross_cats_sorted":["math-ph","math.AG","math.MP","math.QA"],"title_canon_sha256":"674c783f5db6394c32d3012dbca4b9731306ab65c43a109239b140a8945968f2","abstract_canon_sha256":"4eaaaf05147c66f537185eaf1090a7f4be5ab6dfddb16b0a24a600d288c85a13"},"schema_version":"1.0"},"canonical_sha256":"4976d705fcefd72e01ad03fb0fc9d280e92d0337726155a76f3e11397d7938ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:26:04.654458Z","signature_b64":"6tqlpE8ANMb6dGA8+5F8D8EzGT3DFtSO2IeVesp0oyQDrAsKQxDK8pibxlSjfQTLwA+d9diIEQaKTacD90OoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4976d705fcefd72e01ad03fb0fc9d280e92d0337726155a76f3e11397d7938ac","last_reissued_at":"2026-07-05T06:26:04.653975Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:26:04.653975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.16434","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":"2026-07-05T06:26:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NV7spm2wj9504ftiYTL/xlYpVU4yqEr71lE+rqOHBVqtxU4Q/mAQYpenQxZUfs57CWQNcDeQuhD8FFtCQbEhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T18:24:54.649259Z"},"content_sha256":"75540d8aa58f661e6252d32319a6e82b3f2dd6eae07329bb541b826b572dd76b","schema_version":"1.0","event_id":"sha256:75540d8aa58f661e6252d32319a6e82b3f2dd6eae07329bb541b826b572dd76b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:JF3NOBP457LS4ANNAP5Q7SOSQD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interfaces and Quantum Algebras, II: Cigar Partition Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Mykola Dedushenko, Nikita Nekrasov","submitted_at":"2023-06-28T18:00:00Z","abstract_excerpt":"The supersymmetric cigar (half-)index or cigar partition function of 3d $\\mathcal{N}=2$ gauge theories contains a wealth of information. Physically, it captures the spectrum of BPS states, the non-perturbative corrections to various partition functions, the effective twisted superpotential and the data of supersymmetric vacua. Mathematically, it defines the K-theoretic Vertex counting vortices/quasimaps, and connects to quantum K-theory, as well as elliptic cohomology and stable envelopes. We explore these topics from the physics standpoint, systematically developing the foundations and explai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.16434","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/2306.16434/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":"2026-07-05T06:26:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"myNVYXt32ePzkq9i9Q5lyF18NqkGl8tlPeSOSmZV3S8JUNVS1NTV/bZtwpeB7aZYd8jWMf100Q5uosQi56PmAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T18:24:54.650403Z"},"content_sha256":"28a1974be2fe317f9dcb2773eb08b6b2a2b8cec65c43fff3cc4f5215c906b61e","schema_version":"1.0","event_id":"sha256:28a1974be2fe317f9dcb2773eb08b6b2a2b8cec65c43fff3cc4f5215c906b61e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JF3NOBP457LS4ANNAP5Q7SOSQD/bundle.json","state_url":"https://pith.science/pith/JF3NOBP457LS4ANNAP5Q7SOSQD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JF3NOBP457LS4ANNAP5Q7SOSQD/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":"2026-08-09T18:24:54Z","links":{"resolver":"https://pith.science/pith/JF3NOBP457LS4ANNAP5Q7SOSQD","bundle":"https://pith.science/pith/JF3NOBP457LS4ANNAP5Q7SOSQD/bundle.json","state":"https://pith.science/pith/JF3NOBP457LS4ANNAP5Q7SOSQD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JF3NOBP457LS4ANNAP5Q7SOSQD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JF3NOBP457LS4ANNAP5Q7SOSQD","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":"4eaaaf05147c66f537185eaf1090a7f4be5ab6dfddb16b0a24a600d288c85a13","cross_cats_sorted":["math-ph","math.AG","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-28T18:00:00Z","title_canon_sha256":"674c783f5db6394c32d3012dbca4b9731306ab65c43a109239b140a8945968f2"},"schema_version":"1.0","source":{"id":"2306.16434","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.16434","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"arxiv_version","alias_value":"2306.16434v1","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.16434","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"pith_short_12","alias_value":"JF3NOBP457LS","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"JF3NOBP457LS4ANN","created_at":"2026-07-05T06:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"JF3NOBP4","created_at":"2026-07-05T06:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:28a1974be2fe317f9dcb2773eb08b6b2a2b8cec65c43fff3cc4f5215c906b61e","target":"graph","created_at":"2026-07-05T06:26:04Z","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/2306.16434/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The supersymmetric cigar (half-)index or cigar partition function of 3d $\\mathcal{N}=2$ gauge theories contains a wealth of information. Physically, it captures the spectrum of BPS states, the non-perturbative corrections to various partition functions, the effective twisted superpotential and the data of supersymmetric vacua. Mathematically, it defines the K-theoretic Vertex counting vortices/quasimaps, and connects to quantum K-theory, as well as elliptic cohomology and stable envelopes. We explore these topics from the physics standpoint, systematically developing the foundations and explai","authors_text":"Mykola Dedushenko, Nikita Nekrasov","cross_cats":["math-ph","math.AG","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-28T18:00:00Z","title":"Interfaces and Quantum Algebras, II: Cigar Partition Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.16434","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":"sha256:75540d8aa58f661e6252d32319a6e82b3f2dd6eae07329bb541b826b572dd76b","target":"record","created_at":"2026-07-05T06:26:04Z","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":"4eaaaf05147c66f537185eaf1090a7f4be5ab6dfddb16b0a24a600d288c85a13","cross_cats_sorted":["math-ph","math.AG","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-28T18:00:00Z","title_canon_sha256":"674c783f5db6394c32d3012dbca4b9731306ab65c43a109239b140a8945968f2"},"schema_version":"1.0","source":{"id":"2306.16434","kind":"arxiv","version":1}},"canonical_sha256":"4976d705fcefd72e01ad03fb0fc9d280e92d0337726155a76f3e11397d7938ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4976d705fcefd72e01ad03fb0fc9d280e92d0337726155a76f3e11397d7938ac","first_computed_at":"2026-07-05T06:26:04.653975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:26:04.653975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6tqlpE8ANMb6dGA8+5F8D8EzGT3DFtSO2IeVesp0oyQDrAsKQxDK8pibxlSjfQTLwA+d9diIEQaKTacD90OoAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:26:04.654458Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.16434","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75540d8aa58f661e6252d32319a6e82b3f2dd6eae07329bb541b826b572dd76b","sha256:28a1974be2fe317f9dcb2773eb08b6b2a2b8cec65c43fff3cc4f5215c906b61e"],"state_sha256":"624a2b0ce8d04d1b05ac2776d5c7fe042f3d8d7e0a81ed193bb65b42c09be4d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j12QKghIWvqz4XOKT1iv8uRF7vfhKrm/OgMSbvzOe8HXWE6oqP4DTjTLmh/e/KcZ5gNsfq+wYujeSndIukj/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T18:24:54.659784Z","bundle_sha256":"4706a6c22b64f2bd20dd31250445756dd8b8b180c783c1d531b2b3481102e8d3"}}