{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:M6AR62VTFYESLHT52BWSHCRUPS","short_pith_number":"pith:M6AR62VT","canonical_record":{"source":{"id":"1604.03397","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-12T13:23:04Z","cross_cats_sorted":[],"title_canon_sha256":"2ff1cf7b83055007aba8a740ff2e3fad72da3ef66e7f89148c50523133489bcc","abstract_canon_sha256":"021ec21805524c610b165da92cbda268478fb0dc90f55b9635f445fab3fd3ad8"},"schema_version":"1.0"},"canonical_sha256":"67811f6ab32e09259e7dd06d238a347c8a2d6f5a85559f6d96192e59115cabd7","source":{"kind":"arxiv","id":"1604.03397","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03397","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03397v3","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03397","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"M6AR62VTFYES","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"M6AR62VTFYESLHT5","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"M6AR62VT","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:M6AR62VTFYESLHT52BWSHCRUPS","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03397","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-12T13:23:04Z","cross_cats_sorted":[],"title_canon_sha256":"2ff1cf7b83055007aba8a740ff2e3fad72da3ef66e7f89148c50523133489bcc","abstract_canon_sha256":"021ec21805524c610b165da92cbda268478fb0dc90f55b9635f445fab3fd3ad8"},"schema_version":"1.0"},"canonical_sha256":"67811f6ab32e09259e7dd06d238a347c8a2d6f5a85559f6d96192e59115cabd7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:56.865009Z","signature_b64":"tuBBxXcbJKp+F0WclReRy0SbsLObEOrwIXcpWjwtttLCbKZNbMQaCurti1Zqsv4fHvQ795Z4Or+ymFjzpcIGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67811f6ab32e09259e7dd06d238a347c8a2d6f5a85559f6d96192e59115cabd7","last_reissued_at":"2026-05-18T00:05:56.864431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:56.864431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03397","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":"2026-05-18T00:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oKk92X8fpW8zPbKFBb9Y2ylKhxrEpzuewJZxw2kt32IlW3u9b3ffmoAFvr+EJf3Af4ctTHq8VcUyY+Y+KpeUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T06:59:14.571786Z"},"content_sha256":"ac0a5d2fb574881ce14f7417002a4a628a90649e222a0a4cbf952c834b0e65e2","schema_version":"1.0","event_id":"sha256:ac0a5d2fb574881ce14f7417002a4a628a90649e222a0a4cbf952c834b0e65e2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:M6AR62VTFYESLHT52BWSHCRUPS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Noppadol Mekareeya, Seyed Morteza Hosseini","submitted_at":"2016-04-12T13:23:04Z","abstract_excerpt":"In this paper, we calculate the topological free energy for a number of ${\\mathcal N} \\geq 2$ Yang-Mills-Chern-Simons-matter theories at large $N$ and fixed Chern-Simons levels. The topological free energy is defined as the logarithm of the partition function of the theory on $S^2 \\times S^1$ with a topological A-twist along $S^2$ and can be reduced to a matrix integral by exploiting the localization technique. The theories of our interest are dual to a variety of Calabi-Yau four-fold singularities, including a product of two asymptotically locally Euclidean singularities and the cone over var"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03397","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":"2026-05-18T00:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l8rBki8Gp7nJa7eo5bfUYi+KBsS7Qcz6uTkdO+dPJ1mqbkA4/BuVXGCj0AejPThHZnzuD+MFJ3WzJFWe9XX3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T06:59:14.572129Z"},"content_sha256":"a27ca4b92f4941f16016aa59308da50a1ed3dd0e6dce4cd2ef09eb54d1a0cdad","schema_version":"1.0","event_id":"sha256:a27ca4b92f4941f16016aa59308da50a1ed3dd0e6dce4cd2ef09eb54d1a0cdad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M6AR62VTFYESLHT52BWSHCRUPS/bundle.json","state_url":"https://pith.science/pith/M6AR62VTFYESLHT52BWSHCRUPS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M6AR62VTFYESLHT52BWSHCRUPS/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":"2026-05-20T06:59:14Z","links":{"resolver":"https://pith.science/pith/M6AR62VTFYESLHT52BWSHCRUPS","bundle":"https://pith.science/pith/M6AR62VTFYESLHT52BWSHCRUPS/bundle.json","state":"https://pith.science/pith/M6AR62VTFYESLHT52BWSHCRUPS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M6AR62VTFYESLHT52BWSHCRUPS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:M6AR62VTFYESLHT52BWSHCRUPS","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":"021ec21805524c610b165da92cbda268478fb0dc90f55b9635f445fab3fd3ad8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-12T13:23:04Z","title_canon_sha256":"2ff1cf7b83055007aba8a740ff2e3fad72da3ef66e7f89148c50523133489bcc"},"schema_version":"1.0","source":{"id":"1604.03397","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03397","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03397v3","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03397","created_at":"2026-05-18T00:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"M6AR62VTFYES","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"M6AR62VTFYESLHT5","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"M6AR62VT","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:a27ca4b92f4941f16016aa59308da50a1ed3dd0e6dce4cd2ef09eb54d1a0cdad","target":"graph","created_at":"2026-05-18T00:05:56Z","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":"In this paper, we calculate the topological free energy for a number of ${\\mathcal N} \\geq 2$ Yang-Mills-Chern-Simons-matter theories at large $N$ and fixed Chern-Simons levels. The topological free energy is defined as the logarithm of the partition function of the theory on $S^2 \\times S^1$ with a topological A-twist along $S^2$ and can be reduced to a matrix integral by exploiting the localization technique. The theories of our interest are dual to a variety of Calabi-Yau four-fold singularities, including a product of two asymptotically locally Euclidean singularities and the cone over var","authors_text":"Noppadol Mekareeya, Seyed Morteza Hosseini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-12T13:23:04Z","title":"Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03397","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:ac0a5d2fb574881ce14f7417002a4a628a90649e222a0a4cbf952c834b0e65e2","target":"record","created_at":"2026-05-18T00:05:56Z","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":"021ec21805524c610b165da92cbda268478fb0dc90f55b9635f445fab3fd3ad8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-12T13:23:04Z","title_canon_sha256":"2ff1cf7b83055007aba8a740ff2e3fad72da3ef66e7f89148c50523133489bcc"},"schema_version":"1.0","source":{"id":"1604.03397","kind":"arxiv","version":3}},"canonical_sha256":"67811f6ab32e09259e7dd06d238a347c8a2d6f5a85559f6d96192e59115cabd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67811f6ab32e09259e7dd06d238a347c8a2d6f5a85559f6d96192e59115cabd7","first_computed_at":"2026-05-18T00:05:56.864431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:56.864431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tuBBxXcbJKp+F0WclReRy0SbsLObEOrwIXcpWjwtttLCbKZNbMQaCurti1Zqsv4fHvQ795Z4Or+ymFjzpcIGCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:56.865009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03397","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac0a5d2fb574881ce14f7417002a4a628a90649e222a0a4cbf952c834b0e65e2","sha256:a27ca4b92f4941f16016aa59308da50a1ed3dd0e6dce4cd2ef09eb54d1a0cdad"],"state_sha256":"e017320a878d4773b6b182a9a40ee6636ca9bcba4446c4879c03cd06f64c68db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m47UKgbjPJf8cze24GRNsa1BMgxl711SN6dtk/3eSfgq2xtjarRGFkrVypYxqSydp6OfHm2UkG86+3rHOinuBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T06:59:14.574123Z","bundle_sha256":"4848cdd09c51dba15f70464113375e10f69e50724a8318342afa94cfc9fcc3ab"}}