{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HCSKF63WY6SFEEEYUBIMJW4W4R","short_pith_number":"pith:HCSKF63W","canonical_record":{"source":{"id":"1310.2124","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-08T13:10:16Z","cross_cats_sorted":[],"title_canon_sha256":"1b3b0b7df18c269d0246507e643cb4a6a3681055a4828817c83ccfcb4aeab427","abstract_canon_sha256":"ddffb356bbe9ad1286717273724ac0881ccab6366cefd7321893ac10b1df05cd"},"schema_version":"1.0"},"canonical_sha256":"38a4a2fb76c7a4521098a050c4db96e4440b910f55aa4189b2f5f21a67fdb7a3","source":{"kind":"arxiv","id":"1310.2124","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2124","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2124v3","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2124","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"pith_short_12","alias_value":"HCSKF63WY6SF","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HCSKF63WY6SFEEEY","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HCSKF63W","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HCSKF63WY6SFEEEYUBIMJW4W4R","target":"record","payload":{"canonical_record":{"source":{"id":"1310.2124","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-08T13:10:16Z","cross_cats_sorted":[],"title_canon_sha256":"1b3b0b7df18c269d0246507e643cb4a6a3681055a4828817c83ccfcb4aeab427","abstract_canon_sha256":"ddffb356bbe9ad1286717273724ac0881ccab6366cefd7321893ac10b1df05cd"},"schema_version":"1.0"},"canonical_sha256":"38a4a2fb76c7a4521098a050c4db96e4440b910f55aa4189b2f5f21a67fdb7a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:13.756655Z","signature_b64":"oKgsUxXLVrtiLRSFb43fOjaCRoT2UlPzzeFl1WzeOJfQV5xVHU4fZLUq11uku6ApPgZJfQ2cECN1iefmqXyIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38a4a2fb76c7a4521098a050c4db96e4440b910f55aa4189b2f5f21a67fdb7a3","last_reissued_at":"2026-05-18T01:47:13.755914Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:13.755914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.2124","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:47:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fOK6w1IGcLFdNDjvTfGO6G1BfexgTWQM2Me97sJP+x7PNDXNtA3FPUPpwz+0sl8yt8Cf/RGz9aDL84b0elpDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:35:12.932238Z"},"content_sha256":"40dc4b6a10854cd47c762785aca39777d4e45eb345ce5491255ef0c5f7288ce1","schema_version":"1.0","event_id":"sha256:40dc4b6a10854cd47c762785aca39777d4e45eb345ce5491255ef0c5f7288ce1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HCSKF63WY6SFEEEYUBIMJW4W4R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Elliptic genera and real Jacobi forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jan Troost, Sujay K. Ashok","submitted_at":"2013-10-08T13:10:16Z","abstract_excerpt":"We construct real Jacobi forms with matrix index using path integrals. The path integral expressions represent elliptic genera of two-dimensional N=(2,2) supersymmetric theories. They arise in a family labeled by two integers N and k which determine the central charge of the infrared fixed point through the formula c=3N(1+ 2N/k). We decompose the real Jacobi form into a mock modular form and a term arising from the continuous spectrum of the conformal field theory. We argue that the Jacobi form represents the elliptic genus of a theory defined on a 2N dimensional background with U(N) isometry,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2124","kind":"arxiv","version":3},"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":"2026-05-18T01:47:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6FckAM6UJZphuBnjBm2UrnPA64Wga6pEjto6LlvzzBLcf5LuG4OW42zfM9Gl0sgl5ge8YfNWf9h5wdb5L2/8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:35:12.932602Z"},"content_sha256":"9256125d74cabc9ec8d0bf9af0304cc23de4e300a3c0d7ee7f979b2cb03ad052","schema_version":"1.0","event_id":"sha256:9256125d74cabc9ec8d0bf9af0304cc23de4e300a3c0d7ee7f979b2cb03ad052"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HCSKF63WY6SFEEEYUBIMJW4W4R/bundle.json","state_url":"https://pith.science/pith/HCSKF63WY6SFEEEYUBIMJW4W4R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HCSKF63WY6SFEEEYUBIMJW4W4R/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":"2026-06-03T10:35:12Z","links":{"resolver":"https://pith.science/pith/HCSKF63WY6SFEEEYUBIMJW4W4R","bundle":"https://pith.science/pith/HCSKF63WY6SFEEEYUBIMJW4W4R/bundle.json","state":"https://pith.science/pith/HCSKF63WY6SFEEEYUBIMJW4W4R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HCSKF63WY6SFEEEYUBIMJW4W4R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HCSKF63WY6SFEEEYUBIMJW4W4R","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":"ddffb356bbe9ad1286717273724ac0881ccab6366cefd7321893ac10b1df05cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-08T13:10:16Z","title_canon_sha256":"1b3b0b7df18c269d0246507e643cb4a6a3681055a4828817c83ccfcb4aeab427"},"schema_version":"1.0","source":{"id":"1310.2124","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2124","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2124v3","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2124","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"pith_short_12","alias_value":"HCSKF63WY6SF","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HCSKF63WY6SFEEEY","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HCSKF63W","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:9256125d74cabc9ec8d0bf9af0304cc23de4e300a3c0d7ee7f979b2cb03ad052","target":"graph","created_at":"2026-05-18T01:47:13Z","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":"We construct real Jacobi forms with matrix index using path integrals. The path integral expressions represent elliptic genera of two-dimensional N=(2,2) supersymmetric theories. They arise in a family labeled by two integers N and k which determine the central charge of the infrared fixed point through the formula c=3N(1+ 2N/k). We decompose the real Jacobi form into a mock modular form and a term arising from the continuous spectrum of the conformal field theory. We argue that the Jacobi form represents the elliptic genus of a theory defined on a 2N dimensional background with U(N) isometry,","authors_text":"Jan Troost, Sujay K. Ashok","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-08T13:10:16Z","title":"Elliptic genera and real Jacobi forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2124","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":"sha256:40dc4b6a10854cd47c762785aca39777d4e45eb345ce5491255ef0c5f7288ce1","target":"record","created_at":"2026-05-18T01:47:13Z","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":"ddffb356bbe9ad1286717273724ac0881ccab6366cefd7321893ac10b1df05cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-08T13:10:16Z","title_canon_sha256":"1b3b0b7df18c269d0246507e643cb4a6a3681055a4828817c83ccfcb4aeab427"},"schema_version":"1.0","source":{"id":"1310.2124","kind":"arxiv","version":3}},"canonical_sha256":"38a4a2fb76c7a4521098a050c4db96e4440b910f55aa4189b2f5f21a67fdb7a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38a4a2fb76c7a4521098a050c4db96e4440b910f55aa4189b2f5f21a67fdb7a3","first_computed_at":"2026-05-18T01:47:13.755914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:13.755914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oKgsUxXLVrtiLRSFb43fOjaCRoT2UlPzzeFl1WzeOJfQV5xVHU4fZLUq11uku6ApPgZJfQ2cECN1iefmqXyIAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:13.756655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.2124","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40dc4b6a10854cd47c762785aca39777d4e45eb345ce5491255ef0c5f7288ce1","sha256:9256125d74cabc9ec8d0bf9af0304cc23de4e300a3c0d7ee7f979b2cb03ad052"],"state_sha256":"1a7365eab4a803d060754c67dc2be8f0a02a17e98e589fab8c654ffe82a8a5c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k5E+++7XKLOXohg/OMm+AchH4wLrkN3B+jpJPIioEZKOr2Jr+N7KZMRIndycusytPk4yic4NAjz1WsbpvGuXDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T10:35:12.934728Z","bundle_sha256":"23e871305f1b8a957547b8b8cd944f053eda3aab893b35cf68d3768aff31a9fc"}}