{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HTFAIS3O7P5YLLMPBGAYA6C3GN","short_pith_number":"pith:HTFAIS3O","canonical_record":{"source":{"id":"1605.06120","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-19T20:00:09Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"9cfed7fe2bc0eb4b249c36bf5ebfd086c775be2d7e0620895517ddebbf938fe2","abstract_canon_sha256":"7f9a57f49b81b1d32c5ca2c77e15e8e5620cddea69429f3aa33ec22c4a4d5968"},"schema_version":"1.0"},"canonical_sha256":"3cca044b6efbfb85ad8f098180785b3368e51a9b7870a33351429cea32128543","source":{"kind":"arxiv","id":"1605.06120","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06120","created_at":"2026-05-18T00:15:47Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06120v2","created_at":"2026-05-18T00:15:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06120","created_at":"2026-05-18T00:15:47Z"},{"alias_kind":"pith_short_12","alias_value":"HTFAIS3O7P5Y","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"HTFAIS3O7P5YLLMP","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"HTFAIS3O","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HTFAIS3O7P5YLLMPBGAYA6C3GN","target":"record","payload":{"canonical_record":{"source":{"id":"1605.06120","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-19T20:00:09Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"9cfed7fe2bc0eb4b249c36bf5ebfd086c775be2d7e0620895517ddebbf938fe2","abstract_canon_sha256":"7f9a57f49b81b1d32c5ca2c77e15e8e5620cddea69429f3aa33ec22c4a4d5968"},"schema_version":"1.0"},"canonical_sha256":"3cca044b6efbfb85ad8f098180785b3368e51a9b7870a33351429cea32128543","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:47.522559Z","signature_b64":"zxCPLNhTlwAGC78mmTSm0JUFyDFlha3xF+nyJQw48cOCtM5o5ijzBoVagL6A0MuiXKZxAFXyTGxZUIRNAKb8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cca044b6efbfb85ad8f098180785b3368e51a9b7870a33351429cea32128543","last_reissued_at":"2026-05-18T00:15:47.521886Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:47.521886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.06120","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":"2026-05-18T00:15:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"caEspybzxZu1poOT0hRIrWz26STOoNkAySSSzl3/ctZT4rLc6aozACO1/kIv49V9X4agp4stsrB/fn511gGcDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T16:10:19.871059Z"},"content_sha256":"a15a4e7e56604f37bcde161bb9cd78abcfa007a3580cfc20c2bbac9f26bbeca1","schema_version":"1.0","event_id":"sha256:a15a4e7e56604f37bcde161bb9cd78abcfa007a3580cfc20c2bbac9f26bbeca1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HTFAIS3O7P5YLLMPBGAYA6C3GN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Supersymmetric partition functions on Riemann surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Alberto Zaffaroni, Francesco Benini","submitted_at":"2016-05-19T20:00:09Z","abstract_excerpt":"We present a compact formula for the supersymmetric partition function of 2d N=(2,2), 3d N=2 and 4d N=1 gauge theories on $\\Sigma_g \\times T^n$ with partial topological twist on $\\Sigma_g$, where $\\Sigma_g$ is a Riemann surface of arbitrary genus and $T^n$ is a torus with n=0,1,2, respectively. In 2d we also include certain local operator insertions, and in 3d we include Wilson line operator insertions along $S^1$. For genus g=1, the formula computes the Witten index. We present a few simple Abelian and non-Abelian examples, including new tests of non-perturbative dualities. We also show that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06120","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":"2026-05-18T00:15:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mrOrKRaRdyQ81BpbPKDP4zWogUp3tF5P9xuXxmlquNEouunubBZfV1ZKGVXA8f2/PdpQ/OKZGFTgjjjD/REnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T16:10:19.871430Z"},"content_sha256":"192bad1d5353e2f1fd3181f241ebe13782b6c03b0c37222bd5d5596ca15a0de4","schema_version":"1.0","event_id":"sha256:192bad1d5353e2f1fd3181f241ebe13782b6c03b0c37222bd5d5596ca15a0de4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HTFAIS3O7P5YLLMPBGAYA6C3GN/bundle.json","state_url":"https://pith.science/pith/HTFAIS3O7P5YLLMPBGAYA6C3GN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HTFAIS3O7P5YLLMPBGAYA6C3GN/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":"2026-05-19T16:10:19Z","links":{"resolver":"https://pith.science/pith/HTFAIS3O7P5YLLMPBGAYA6C3GN","bundle":"https://pith.science/pith/HTFAIS3O7P5YLLMPBGAYA6C3GN/bundle.json","state":"https://pith.science/pith/HTFAIS3O7P5YLLMPBGAYA6C3GN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HTFAIS3O7P5YLLMPBGAYA6C3GN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HTFAIS3O7P5YLLMPBGAYA6C3GN","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":"7f9a57f49b81b1d32c5ca2c77e15e8e5620cddea69429f3aa33ec22c4a4d5968","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-19T20:00:09Z","title_canon_sha256":"9cfed7fe2bc0eb4b249c36bf5ebfd086c775be2d7e0620895517ddebbf938fe2"},"schema_version":"1.0","source":{"id":"1605.06120","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06120","created_at":"2026-05-18T00:15:47Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06120v2","created_at":"2026-05-18T00:15:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06120","created_at":"2026-05-18T00:15:47Z"},{"alias_kind":"pith_short_12","alias_value":"HTFAIS3O7P5Y","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"HTFAIS3O7P5YLLMP","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"HTFAIS3O","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:192bad1d5353e2f1fd3181f241ebe13782b6c03b0c37222bd5d5596ca15a0de4","target":"graph","created_at":"2026-05-18T00:15:47Z","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 present a compact formula for the supersymmetric partition function of 2d N=(2,2), 3d N=2 and 4d N=1 gauge theories on $\\Sigma_g \\times T^n$ with partial topological twist on $\\Sigma_g$, where $\\Sigma_g$ is a Riemann surface of arbitrary genus and $T^n$ is a torus with n=0,1,2, respectively. In 2d we also include certain local operator insertions, and in 3d we include Wilson line operator insertions along $S^1$. For genus g=1, the formula computes the Witten index. We present a few simple Abelian and non-Abelian examples, including new tests of non-perturbative dualities. We also show that ","authors_text":"Alberto Zaffaroni, Francesco Benini","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-19T20:00:09Z","title":"Supersymmetric partition functions on Riemann surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06120","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:a15a4e7e56604f37bcde161bb9cd78abcfa007a3580cfc20c2bbac9f26bbeca1","target":"record","created_at":"2026-05-18T00:15:47Z","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":"7f9a57f49b81b1d32c5ca2c77e15e8e5620cddea69429f3aa33ec22c4a4d5968","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-19T20:00:09Z","title_canon_sha256":"9cfed7fe2bc0eb4b249c36bf5ebfd086c775be2d7e0620895517ddebbf938fe2"},"schema_version":"1.0","source":{"id":"1605.06120","kind":"arxiv","version":2}},"canonical_sha256":"3cca044b6efbfb85ad8f098180785b3368e51a9b7870a33351429cea32128543","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cca044b6efbfb85ad8f098180785b3368e51a9b7870a33351429cea32128543","first_computed_at":"2026-05-18T00:15:47.521886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:47.521886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zxCPLNhTlwAGC78mmTSm0JUFyDFlha3xF+nyJQw48cOCtM5o5ijzBoVagL6A0MuiXKZxAFXyTGxZUIRNAKb8CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:47.522559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.06120","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a15a4e7e56604f37bcde161bb9cd78abcfa007a3580cfc20c2bbac9f26bbeca1","sha256:192bad1d5353e2f1fd3181f241ebe13782b6c03b0c37222bd5d5596ca15a0de4"],"state_sha256":"753f928e307913eae1ea764b7a68147eec47d30bdb7e5e2e1c147b538a98e7d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uq0tCpxsIhmcMNUPSYyDkJIC/U7uHln6zKSryX41SMhPEQuiRtB6MpIVK++lOdpjUpnouOu15T5Lz3rMfjawAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T16:10:19.873493Z","bundle_sha256":"dcff55f173765f4037b986c7efe60876eafe71f4aa3ccd09218a99c70444678a"}}