{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:EI2MEE6B5OUDKUVSVTIT5TYOPK","short_pith_number":"pith:EI2MEE6B","canonical_record":{"source":{"id":"1808.00012","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T18:04:18Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"f03e5fbecca67b819566e6abc3d9f77c9f215589949290884e796d4c8c5fd965","abstract_canon_sha256":"4234b5d641176e6e418800280d7b9f577052ca04b34d4e61a19296fad302c80b"},"schema_version":"1.0"},"canonical_sha256":"2234c213c1eba83552b2acd13ecf0e7a8d230bea82338945aefe6af7e448cde8","source":{"kind":"arxiv","id":"1808.00012","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00012","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00012v2","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00012","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"pith_short_12","alias_value":"EI2MEE6B5OUD","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EI2MEE6B5OUDKUVS","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EI2MEE6B","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:EI2MEE6B5OUDKUVSVTIT5TYOPK","target":"record","payload":{"canonical_record":{"source":{"id":"1808.00012","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T18:04:18Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"f03e5fbecca67b819566e6abc3d9f77c9f215589949290884e796d4c8c5fd965","abstract_canon_sha256":"4234b5d641176e6e418800280d7b9f577052ca04b34d4e61a19296fad302c80b"},"schema_version":"1.0"},"canonical_sha256":"2234c213c1eba83552b2acd13ecf0e7a8d230bea82338945aefe6af7e448cde8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:12.960523Z","signature_b64":"zAVxekejnP2XzeGzWtsJEg78AYLWOjf/d15d29uPGAkd/w/h+AoJFcXgkqWsJNvGypuNVcUd4mPqGY2ZnzHbBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2234c213c1eba83552b2acd13ecf0e7a8d230bea82338945aefe6af7e448cde8","last_reissued_at":"2026-05-17T23:50:12.960011Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:12.960011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.00012","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a3WZ/cYOh6AbVUMsl5fVmSAu/SJwzOH8tjBqg1zPUs11beCFeIVClQHHgMeJ+ZmMbeqwgHSsiShN8KrcXwPfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T23:30:52.907165Z"},"content_sha256":"cc35bb363a86a18b052e55bfa1c606ae4b9fe57b9cbe4ebbdcc91c1818448a3a","schema_version":"1.0","event_id":"sha256:cc35bb363a86a18b052e55bfa1c606ae4b9fe57b9cbe4ebbdcc91c1818448a3a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:EI2MEE6B5OUDKUVSVTIT5TYOPK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Squashed Toric Manifolds and Higher Depth Mock Modular Forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"hep-th","authors_text":"Caner Nazaroglu, Rajesh Kumar Gupta, Sameer Murthy","submitted_at":"2018-07-31T18:04:18Z","abstract_excerpt":"Squashed toric sigma models are a class of sigma models whose target space is a toric manifold in which the torus fibration is squashed away from the fixed points so as to produce a neck-like region. The elliptic genera of squashed toric-Calabi-Yau manifolds are known to obey the modular transformation property of holomorphic Jacobi forms, but have an explicit non-holomorphic dependence on the modular parameter. The elliptic genus of the simplest one-dimensional example is known to be a mixed mock Jacobi form, but the precise automorphic nature for the general case remained to be understood. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00012","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-17T23:50:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TTT59gobd9GG5Fhz7yQFBRuMkW6TdyS04QDjmnDqv0WY5Gq6SjFvpl90BK1idRmU8/B7dO3U9IobSMie9cl2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T23:30:52.907861Z"},"content_sha256":"e42fcaf6fb88ea25802013c77ed5e5b6cd30e5cdf983261c42f4ae7f25e48ced","schema_version":"1.0","event_id":"sha256:e42fcaf6fb88ea25802013c77ed5e5b6cd30e5cdf983261c42f4ae7f25e48ced"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EI2MEE6B5OUDKUVSVTIT5TYOPK/bundle.json","state_url":"https://pith.science/pith/EI2MEE6B5OUDKUVSVTIT5TYOPK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EI2MEE6B5OUDKUVSVTIT5TYOPK/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":"2026-05-20T23:30:52Z","links":{"resolver":"https://pith.science/pith/EI2MEE6B5OUDKUVSVTIT5TYOPK","bundle":"https://pith.science/pith/EI2MEE6B5OUDKUVSVTIT5TYOPK/bundle.json","state":"https://pith.science/pith/EI2MEE6B5OUDKUVSVTIT5TYOPK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EI2MEE6B5OUDKUVSVTIT5TYOPK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EI2MEE6B5OUDKUVSVTIT5TYOPK","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":"4234b5d641176e6e418800280d7b9f577052ca04b34d4e61a19296fad302c80b","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T18:04:18Z","title_canon_sha256":"f03e5fbecca67b819566e6abc3d9f77c9f215589949290884e796d4c8c5fd965"},"schema_version":"1.0","source":{"id":"1808.00012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00012","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00012v2","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00012","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"pith_short_12","alias_value":"EI2MEE6B5OUD","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EI2MEE6B5OUDKUVS","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EI2MEE6B","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:e42fcaf6fb88ea25802013c77ed5e5b6cd30e5cdf983261c42f4ae7f25e48ced","target":"graph","created_at":"2026-05-17T23:50:12Z","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"},"paper":{"abstract_excerpt":"Squashed toric sigma models are a class of sigma models whose target space is a toric manifold in which the torus fibration is squashed away from the fixed points so as to produce a neck-like region. The elliptic genera of squashed toric-Calabi-Yau manifolds are known to obey the modular transformation property of holomorphic Jacobi forms, but have an explicit non-holomorphic dependence on the modular parameter. The elliptic genus of the simplest one-dimensional example is known to be a mixed mock Jacobi form, but the precise automorphic nature for the general case remained to be understood. W","authors_text":"Caner Nazaroglu, Rajesh Kumar Gupta, Sameer Murthy","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T18:04:18Z","title":"Squashed Toric Manifolds and Higher Depth Mock Modular Forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00012","kind":"arxiv","version":2},"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:cc35bb363a86a18b052e55bfa1c606ae4b9fe57b9cbe4ebbdcc91c1818448a3a","target":"record","created_at":"2026-05-17T23:50:12Z","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":"4234b5d641176e6e418800280d7b9f577052ca04b34d4e61a19296fad302c80b","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T18:04:18Z","title_canon_sha256":"f03e5fbecca67b819566e6abc3d9f77c9f215589949290884e796d4c8c5fd965"},"schema_version":"1.0","source":{"id":"1808.00012","kind":"arxiv","version":2}},"canonical_sha256":"2234c213c1eba83552b2acd13ecf0e7a8d230bea82338945aefe6af7e448cde8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2234c213c1eba83552b2acd13ecf0e7a8d230bea82338945aefe6af7e448cde8","first_computed_at":"2026-05-17T23:50:12.960011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:12.960011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zAVxekejnP2XzeGzWtsJEg78AYLWOjf/d15d29uPGAkd/w/h+AoJFcXgkqWsJNvGypuNVcUd4mPqGY2ZnzHbBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:12.960523Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc35bb363a86a18b052e55bfa1c606ae4b9fe57b9cbe4ebbdcc91c1818448a3a","sha256:e42fcaf6fb88ea25802013c77ed5e5b6cd30e5cdf983261c42f4ae7f25e48ced"],"state_sha256":"00908b9291c80f2f692ce935b367b1d09b1b95adc7663995facbdb5ecb738f08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c+WAoENSMIV5cOI5VWRu142oFEHICDqMmBBxPGJes43nQQ9YAHv0PPEVkSRHwaM/ZZc0CgNneJ50nU57niGqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T23:30:52.910813Z","bundle_sha256":"2a5e13b8d7346c09604f283712f8237cdd9b7eab0e46b14493713c9f60493934"}}