{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ADIYUDZ24NXWTJJQLNJEPJBYLN","short_pith_number":"pith:ADIYUDZ2","canonical_record":{"source":{"id":"1101.1548","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-07T22:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"47c7da2caed7cf28eed51372dc876cff7b9164d3a66098d2bbe7d680988ba314","abstract_canon_sha256":"b7b44b277dc952ad9c6d50e9beb5393e077a5bc2d1a3e62d60ba81570dfff8f4"},"schema_version":"1.0"},"canonical_sha256":"00d18a0f3ae36f69a5305b5247a4385b5592e7a5ec12fb583feebc3cc37c34e8","source":{"kind":"arxiv","id":"1101.1548","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1548","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1548v1","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1548","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"pith_short_12","alias_value":"ADIYUDZ24NXW","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"ADIYUDZ24NXWTJJQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"ADIYUDZ2","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ADIYUDZ24NXWTJJQLNJEPJBYLN","target":"record","payload":{"canonical_record":{"source":{"id":"1101.1548","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-07T22:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"47c7da2caed7cf28eed51372dc876cff7b9164d3a66098d2bbe7d680988ba314","abstract_canon_sha256":"b7b44b277dc952ad9c6d50e9beb5393e077a5bc2d1a3e62d60ba81570dfff8f4"},"schema_version":"1.0"},"canonical_sha256":"00d18a0f3ae36f69a5305b5247a4385b5592e7a5ec12fb583feebc3cc37c34e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:52.041595Z","signature_b64":"ti0SS1Tf8O/z0jpqYPzsJH0Dv18sw58OKhAowOvosJN4zNNpMXRWP3qQgnn8YbieDjdL89IEzJ5ktrVnUiC+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00d18a0f3ae36f69a5305b5247a4385b5592e7a5ec12fb583feebc3cc37c34e8","last_reissued_at":"2026-05-18T04:31:52.041204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:52.041204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.1548","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:31:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W7GINMkGqSvlGN+6hg1MIqZzOnwFf7xbclqr6dkRMl4m6t1ITAUGg80X3k0tiylnYGAoD5K+o/jjHSB8zz2eBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-19T18:49:35.096822Z"},"content_sha256":"cd60509cface49cfa6e05fdaeab0d2a439eb47af04157ee5d8cca8965dc7f7cb","schema_version":"1.0","event_id":"sha256:cd60509cface49cfa6e05fdaeab0d2a439eb47af04157ee5d8cca8965dc7f7cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ADIYUDZ24NXWTJJQLNJEPJBYLN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Combinatorial Case of the Abelian-Nonabelian Correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kaisa Taipale","submitted_at":"2011-01-07T22:53:13Z","abstract_excerpt":"The abelian-nonabelian correspondence outlined by Bertram, Ciocan-Fontanine, and Kim gives a broad conjectural relationship between (twisted) Gromov-Witten invariants of related GIT quotients. This paper proves a case of the correspondence explicitly relating genus zero m-pointed Gromov-Witten invariants of Grassmannians Gr(2,n) and products of projective space $\\PP^{n-1} \\times \\PP^{n-1}$. Localization is used to compute twisted Gromov-Witten invariants of $\\PP^{n-1} \\times \\PP^{n-1}$, and comparison of the moduli spaces of stable maps completes the proof."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1548","kind":"arxiv","version":1},"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":"2026-05-18T04:31:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6i9jpX2rOD8IhLhtIV6mwg/baNoFuF/sEHTWDvuONIih2AoXPbkQqlwMtAa5FV9GAed3b8FffL+gUTZjlpp3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-19T18:49:35.097149Z"},"content_sha256":"77edbf2ea825268ad88db94d8c00f6b10044f5ce46d4976802119236f20f9b38","schema_version":"1.0","event_id":"sha256:77edbf2ea825268ad88db94d8c00f6b10044f5ce46d4976802119236f20f9b38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ADIYUDZ24NXWTJJQLNJEPJBYLN/bundle.json","state_url":"https://pith.science/pith/ADIYUDZ24NXWTJJQLNJEPJBYLN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ADIYUDZ24NXWTJJQLNJEPJBYLN/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":"2026-07-19T18:49:35Z","links":{"resolver":"https://pith.science/pith/ADIYUDZ24NXWTJJQLNJEPJBYLN","bundle":"https://pith.science/pith/ADIYUDZ24NXWTJJQLNJEPJBYLN/bundle.json","state":"https://pith.science/pith/ADIYUDZ24NXWTJJQLNJEPJBYLN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ADIYUDZ24NXWTJJQLNJEPJBYLN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ADIYUDZ24NXWTJJQLNJEPJBYLN","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":"b7b44b277dc952ad9c6d50e9beb5393e077a5bc2d1a3e62d60ba81570dfff8f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-07T22:53:13Z","title_canon_sha256":"47c7da2caed7cf28eed51372dc876cff7b9164d3a66098d2bbe7d680988ba314"},"schema_version":"1.0","source":{"id":"1101.1548","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1548","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1548v1","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1548","created_at":"2026-05-18T04:31:52Z"},{"alias_kind":"pith_short_12","alias_value":"ADIYUDZ24NXW","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"ADIYUDZ24NXWTJJQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"ADIYUDZ2","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:77edbf2ea825268ad88db94d8c00f6b10044f5ce46d4976802119236f20f9b38","target":"graph","created_at":"2026-05-18T04:31:52Z","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":"The abelian-nonabelian correspondence outlined by Bertram, Ciocan-Fontanine, and Kim gives a broad conjectural relationship between (twisted) Gromov-Witten invariants of related GIT quotients. This paper proves a case of the correspondence explicitly relating genus zero m-pointed Gromov-Witten invariants of Grassmannians Gr(2,n) and products of projective space $\\PP^{n-1} \\times \\PP^{n-1}$. Localization is used to compute twisted Gromov-Witten invariants of $\\PP^{n-1} \\times \\PP^{n-1}$, and comparison of the moduli spaces of stable maps completes the proof.","authors_text":"Kaisa Taipale","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-07T22:53:13Z","title":"A Combinatorial Case of the Abelian-Nonabelian Correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1548","kind":"arxiv","version":1},"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:cd60509cface49cfa6e05fdaeab0d2a439eb47af04157ee5d8cca8965dc7f7cb","target":"record","created_at":"2026-05-18T04:31:52Z","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":"b7b44b277dc952ad9c6d50e9beb5393e077a5bc2d1a3e62d60ba81570dfff8f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-07T22:53:13Z","title_canon_sha256":"47c7da2caed7cf28eed51372dc876cff7b9164d3a66098d2bbe7d680988ba314"},"schema_version":"1.0","source":{"id":"1101.1548","kind":"arxiv","version":1}},"canonical_sha256":"00d18a0f3ae36f69a5305b5247a4385b5592e7a5ec12fb583feebc3cc37c34e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00d18a0f3ae36f69a5305b5247a4385b5592e7a5ec12fb583feebc3cc37c34e8","first_computed_at":"2026-05-18T04:31:52.041204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:52.041204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ti0SS1Tf8O/z0jpqYPzsJH0Dv18sw58OKhAowOvosJN4zNNpMXRWP3qQgnn8YbieDjdL89IEzJ5ktrVnUiC+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:52.041595Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1548","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd60509cface49cfa6e05fdaeab0d2a439eb47af04157ee5d8cca8965dc7f7cb","sha256:77edbf2ea825268ad88db94d8c00f6b10044f5ce46d4976802119236f20f9b38"],"state_sha256":"fb9c2b3717f8f0f368b8c448d9b2249a31db332462d7ca97abad427dc1ae9f81"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/btMr1seuyGWiDahq7XLzJr+ca5tafa2nRQFofzApcyyy09KykMTHizn3vnGRA6FpnHLkXCR7cS67oSNAQFcCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-19T18:49:35.099127Z","bundle_sha256":"e3beaee6307f717198ccd88bd29e227cf8f0a756a7cfeeaf7cfcb07204eb894e"}}