{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:XN32JYG2XOTYQM4CDWFVTF2ILT","short_pith_number":"pith:XN32JYG2","canonical_record":{"source":{"id":"2007.15468","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-30T14:06:16Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"82f3928ed245543f83fd0d85385c17a0b1b80a0008b2f5a692e9aa98e24ff072","abstract_canon_sha256":"4191b50d9c15d2bfcda0e4e8bca9bf9b8a1865968899e1b69f984e129ec6ea0c"},"schema_version":"1.0"},"canonical_sha256":"bb77a4e0dabba78833821d8b5997485cc5948f0d553d892e3b9c29b500439ad9","source":{"kind":"arxiv","id":"2007.15468","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.15468","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"arxiv_version","alias_value":"2007.15468v2","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.15468","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"pith_short_12","alias_value":"XN32JYG2XOTY","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"pith_short_16","alias_value":"XN32JYG2XOTYQM4C","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"pith_short_8","alias_value":"XN32JYG2","created_at":"2026-07-05T02:53:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:XN32JYG2XOTYQM4CDWFVTF2ILT","target":"record","payload":{"canonical_record":{"source":{"id":"2007.15468","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-30T14:06:16Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"82f3928ed245543f83fd0d85385c17a0b1b80a0008b2f5a692e9aa98e24ff072","abstract_canon_sha256":"4191b50d9c15d2bfcda0e4e8bca9bf9b8a1865968899e1b69f984e129ec6ea0c"},"schema_version":"1.0"},"canonical_sha256":"bb77a4e0dabba78833821d8b5997485cc5948f0d553d892e3b9c29b500439ad9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:53:26.694619Z","signature_b64":"P2J1xySml+IJINeBLI17iZuDpkgATEok0g0WD4Q+TpdDqw+uCK73yDV0JCG8GeFib1ER6LFdxduCC+2nk84WAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb77a4e0dabba78833821d8b5997485cc5948f0d553d892e3b9c29b500439ad9","last_reissued_at":"2026-07-05T02:53:26.694078Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:53:26.694078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2007.15468","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":"2026-07-05T02:53:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U/Q5TQ+o56SqUDUkX1vxayQMhMCkGo6VVrZ+RvNaKf2tTZ+bgMicUG4SXDTiywsomTgAATfRou0AdCjJ9uCwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:01:32.725060Z"},"content_sha256":"4c1c4933362b55b6ff9a04f5cc20b1b271f837f4117be631d146556d7e60156d","schema_version":"1.0","event_id":"sha256:4c1c4933362b55b6ff9a04f5cc20b1b271f837f4117be631d146556d7e60156d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:XN32JYG2XOTYQM4CDWFVTF2ILT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge theories on compact toric manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Tanzini, Ekaterina Sysoeva, Francesco Fucito, Giulio Bonelli, Jose Francisco Morales, Massimiliano Ronzani","submitted_at":"2020-07-30T14:06:16Z","abstract_excerpt":"We compute the ${\\cal N}=2$ supersymmetric partition function of a gauge theory on a four-dimensional compact toric manifold via equivariant localization. The result is given by a piecewise constant function of the K\\\"ahler form with jumps along the walls where the gauge symmetry gets enhanced. The partition function on such manifolds is written as a sum over the residues of a product of partition functions on $\\mathbb{C}^2$. The evaluation of these residues is greatly simplified by using an \"abstruse duality\" that relates the residues at the poles of the one-loop and instanton parts of the $\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.15468","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2007.15468/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":"2026-07-05T02:53:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mm2rGzmlUk7z65bzvDUdezBKhxDLQk+1FgIrE1gnLPFdzc/+FAOHGst7CKOwwjTRO9jtWSP3rIJ+g4CNM8VKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:01:32.725638Z"},"content_sha256":"d74ef226e70d8689986d80e88e60e063d17dc4805c041f4d8b2a695f02fd5d8b","schema_version":"1.0","event_id":"sha256:d74ef226e70d8689986d80e88e60e063d17dc4805c041f4d8b2a695f02fd5d8b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XN32JYG2XOTYQM4CDWFVTF2ILT/bundle.json","state_url":"https://pith.science/pith/XN32JYG2XOTYQM4CDWFVTF2ILT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XN32JYG2XOTYQM4CDWFVTF2ILT/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":"2026-08-04T01:01:32Z","links":{"resolver":"https://pith.science/pith/XN32JYG2XOTYQM4CDWFVTF2ILT","bundle":"https://pith.science/pith/XN32JYG2XOTYQM4CDWFVTF2ILT/bundle.json","state":"https://pith.science/pith/XN32JYG2XOTYQM4CDWFVTF2ILT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XN32JYG2XOTYQM4CDWFVTF2ILT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XN32JYG2XOTYQM4CDWFVTF2ILT","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":"4191b50d9c15d2bfcda0e4e8bca9bf9b8a1865968899e1b69f984e129ec6ea0c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-30T14:06:16Z","title_canon_sha256":"82f3928ed245543f83fd0d85385c17a0b1b80a0008b2f5a692e9aa98e24ff072"},"schema_version":"1.0","source":{"id":"2007.15468","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.15468","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"arxiv_version","alias_value":"2007.15468v2","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.15468","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"pith_short_12","alias_value":"XN32JYG2XOTY","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"pith_short_16","alias_value":"XN32JYG2XOTYQM4C","created_at":"2026-07-05T02:53:26Z"},{"alias_kind":"pith_short_8","alias_value":"XN32JYG2","created_at":"2026-07-05T02:53:26Z"}],"graph_snapshots":[{"event_id":"sha256:d74ef226e70d8689986d80e88e60e063d17dc4805c041f4d8b2a695f02fd5d8b","target":"graph","created_at":"2026-07-05T02:53:26Z","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/2007.15468/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the ${\\cal N}=2$ supersymmetric partition function of a gauge theory on a four-dimensional compact toric manifold via equivariant localization. The result is given by a piecewise constant function of the K\\\"ahler form with jumps along the walls where the gauge symmetry gets enhanced. The partition function on such manifolds is written as a sum over the residues of a product of partition functions on $\\mathbb{C}^2$. The evaluation of these residues is greatly simplified by using an \"abstruse duality\" that relates the residues at the poles of the one-loop and instanton parts of the $\\","authors_text":"Alessandro Tanzini, Ekaterina Sysoeva, Francesco Fucito, Giulio Bonelli, Jose Francisco Morales, Massimiliano Ronzani","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-30T14:06:16Z","title":"Gauge theories on compact toric manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.15468","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":"sha256:4c1c4933362b55b6ff9a04f5cc20b1b271f837f4117be631d146556d7e60156d","target":"record","created_at":"2026-07-05T02:53:26Z","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":"4191b50d9c15d2bfcda0e4e8bca9bf9b8a1865968899e1b69f984e129ec6ea0c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-30T14:06:16Z","title_canon_sha256":"82f3928ed245543f83fd0d85385c17a0b1b80a0008b2f5a692e9aa98e24ff072"},"schema_version":"1.0","source":{"id":"2007.15468","kind":"arxiv","version":2}},"canonical_sha256":"bb77a4e0dabba78833821d8b5997485cc5948f0d553d892e3b9c29b500439ad9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb77a4e0dabba78833821d8b5997485cc5948f0d553d892e3b9c29b500439ad9","first_computed_at":"2026-07-05T02:53:26.694078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:53:26.694078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P2J1xySml+IJINeBLI17iZuDpkgATEok0g0WD4Q+TpdDqw+uCK73yDV0JCG8GeFib1ER6LFdxduCC+2nk84WAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:53:26.694619Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.15468","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c1c4933362b55b6ff9a04f5cc20b1b271f837f4117be631d146556d7e60156d","sha256:d74ef226e70d8689986d80e88e60e063d17dc4805c041f4d8b2a695f02fd5d8b"],"state_sha256":"1bed674624d65e5548b37e4c811a2e713aa7eaf917baf071af4ce8fc993cf6b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HkoZaeLl4eu0srA6IBpXuKN5FhEUQoZYrr7NkdDffz75hTZM3q7jhaLGJWlvOyqySJAWHzOoos1/tv8MrY5DAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:01:32.732495Z","bundle_sha256":"fa3c2b28f777767564b704fb7c7bf8442571db46d3291c780339fa8667f13f55"}}