{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TR4MPPUVE3OFHPAA5ZEPY2V5Q6","short_pith_number":"pith:TR4MPPUV","canonical_record":{"source":{"id":"1410.2742","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-10T11:14:58Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"ef0fb11aeb57466b83bcbbc92b1e22e1d0ecce5eb90a2531bbbc4b70b15e5c99","abstract_canon_sha256":"d46cd14693eb7b8a4695346c5f28da571b1817d553a5dac29b9bd8616918a00d"},"schema_version":"1.0"},"canonical_sha256":"9c78c7be9526dc53bc00ee48fc6abd878a4de8e02069a7a9893f74cc1e693d2c","source":{"kind":"arxiv","id":"1410.2742","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2742","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2742v2","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2742","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"pith_short_12","alias_value":"TR4MPPUVE3OF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TR4MPPUVE3OFHPAA","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TR4MPPUV","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TR4MPPUVE3OFHPAA5ZEPY2V5Q6","target":"record","payload":{"canonical_record":{"source":{"id":"1410.2742","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-10T11:14:58Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"ef0fb11aeb57466b83bcbbc92b1e22e1d0ecce5eb90a2531bbbc4b70b15e5c99","abstract_canon_sha256":"d46cd14693eb7b8a4695346c5f28da571b1817d553a5dac29b9bd8616918a00d"},"schema_version":"1.0"},"canonical_sha256":"9c78c7be9526dc53bc00ee48fc6abd878a4de8e02069a7a9893f74cc1e693d2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:49.417089Z","signature_b64":"S6oQ2xrl8R/kK2OxfBmxKZYVI4rwMdyecI4wjpliYr4bW3o2qRfJaDeg6zqokVJhGxDljDrOhdVD42xusQg0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c78c7be9526dc53bc00ee48fc6abd878a4de8e02069a7a9893f74cc1e693d2c","last_reissued_at":"2026-05-18T01:41:49.416459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:49.416459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.2742","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":"2026-05-18T01:41:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hLro11Ll0OnJ1eHB3k5FKJD7IHEEK3yk8FfHCHsG9aX7eysaYcaV1neyJRLpKFx6Cw7wREu/wg9fyJSW2QPBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:23:36.620290Z"},"content_sha256":"2130af8a0ee462d2719e001ff8bd1ac92b0d1d7180d5e5c7f90cce85244961ff","schema_version":"1.0","event_id":"sha256:2130af8a0ee462d2719e001ff8bd1ac92b0d1d7180d5e5c7f90cce85244961ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TR4MPPUVE3OFHPAA5ZEPY2V5Q6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"N=2 quiver gauge theories on A-type ALE spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Francesco Sala, Richard J. Szabo, Ugo Bruzzo","submitted_at":"2014-10-10T11:14:58Z","abstract_excerpt":"We survey and compare recent approaches to the computation of the partition functions and correlators of chiral BPS observables in $\\mathcal{N}=2$ gauge theories on ALE spaces based on quiver varieties and the minimal resolution $X_k$ of the $A_{k-1}$ toric singularity $\\mathbb{C}^2/\\mathbb{Z}_k$, in light of their recently conjectured duality with two-dimensional coset conformal field theories. We review and elucidate the rigorous constructions of gauge theories for a particular family of ALE spaces, using their relation to the cohomology of moduli spaces of framed torsion free sheaves on a s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2742","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":"2026-05-18T01:41:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lLL+1wv32TYPdhgVSJ33HR/kHtLLliDIR+bKnAVfnuQyt5zChKY9CFNX28q38LZ17dyOVlMaBND1E9UkWB7SBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:23:36.620665Z"},"content_sha256":"2a822aeeed970c2bf7882d8219f0ae39c453729d26e703f649cb0bbed47bd9d9","schema_version":"1.0","event_id":"sha256:2a822aeeed970c2bf7882d8219f0ae39c453729d26e703f649cb0bbed47bd9d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TR4MPPUVE3OFHPAA5ZEPY2V5Q6/bundle.json","state_url":"https://pith.science/pith/TR4MPPUVE3OFHPAA5ZEPY2V5Q6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TR4MPPUVE3OFHPAA5ZEPY2V5Q6/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":"2026-06-03T14:23:36Z","links":{"resolver":"https://pith.science/pith/TR4MPPUVE3OFHPAA5ZEPY2V5Q6","bundle":"https://pith.science/pith/TR4MPPUVE3OFHPAA5ZEPY2V5Q6/bundle.json","state":"https://pith.science/pith/TR4MPPUVE3OFHPAA5ZEPY2V5Q6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TR4MPPUVE3OFHPAA5ZEPY2V5Q6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TR4MPPUVE3OFHPAA5ZEPY2V5Q6","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":"d46cd14693eb7b8a4695346c5f28da571b1817d553a5dac29b9bd8616918a00d","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-10T11:14:58Z","title_canon_sha256":"ef0fb11aeb57466b83bcbbc92b1e22e1d0ecce5eb90a2531bbbc4b70b15e5c99"},"schema_version":"1.0","source":{"id":"1410.2742","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2742","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2742v2","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2742","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"pith_short_12","alias_value":"TR4MPPUVE3OF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TR4MPPUVE3OFHPAA","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TR4MPPUV","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:2a822aeeed970c2bf7882d8219f0ae39c453729d26e703f649cb0bbed47bd9d9","target":"graph","created_at":"2026-05-18T01:41:49Z","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 survey and compare recent approaches to the computation of the partition functions and correlators of chiral BPS observables in $\\mathcal{N}=2$ gauge theories on ALE spaces based on quiver varieties and the minimal resolution $X_k$ of the $A_{k-1}$ toric singularity $\\mathbb{C}^2/\\mathbb{Z}_k$, in light of their recently conjectured duality with two-dimensional coset conformal field theories. We review and elucidate the rigorous constructions of gauge theories for a particular family of ALE spaces, using their relation to the cohomology of moduli spaces of framed torsion free sheaves on a s","authors_text":"Francesco Sala, Richard J. Szabo, Ugo Bruzzo","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-10T11:14:58Z","title":"N=2 quiver gauge theories on A-type ALE spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2742","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":"sha256:2130af8a0ee462d2719e001ff8bd1ac92b0d1d7180d5e5c7f90cce85244961ff","target":"record","created_at":"2026-05-18T01:41:49Z","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":"d46cd14693eb7b8a4695346c5f28da571b1817d553a5dac29b9bd8616918a00d","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-10T11:14:58Z","title_canon_sha256":"ef0fb11aeb57466b83bcbbc92b1e22e1d0ecce5eb90a2531bbbc4b70b15e5c99"},"schema_version":"1.0","source":{"id":"1410.2742","kind":"arxiv","version":2}},"canonical_sha256":"9c78c7be9526dc53bc00ee48fc6abd878a4de8e02069a7a9893f74cc1e693d2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c78c7be9526dc53bc00ee48fc6abd878a4de8e02069a7a9893f74cc1e693d2c","first_computed_at":"2026-05-18T01:41:49.416459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:49.416459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S6oQ2xrl8R/kK2OxfBmxKZYVI4rwMdyecI4wjpliYr4bW3o2qRfJaDeg6zqokVJhGxDljDrOhdVD42xusQg0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:49.417089Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2742","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2130af8a0ee462d2719e001ff8bd1ac92b0d1d7180d5e5c7f90cce85244961ff","sha256:2a822aeeed970c2bf7882d8219f0ae39c453729d26e703f649cb0bbed47bd9d9"],"state_sha256":"ae5145a94425e4cad49600e4d3589f98062d103de3e96a9c1f5c243d79c89259"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fl3vdWbY9OgIBW0HVg3G23i0DaR3smNtxJBo59Mu8xAliPZ1uOPOkmflT1PJYQM4Q2eU1geqmwaQuhNGXVUfDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:23:36.622683Z","bundle_sha256":"1a3134b24bf9448cf308b6b129f0e494b624423030d8c0f221a3677d88db32b5"}}