{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:IVJSEPPFF44MS26OKDPFJ63AER","short_pith_number":"pith:IVJSEPPF","canonical_record":{"source":{"id":"1804.05310","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-15T07:01:21Z","cross_cats_sorted":[],"title_canon_sha256":"2c4296436941ffe95b6a3c99dbc7fa01caa525a87d744ab756878eb7783e2d3d","abstract_canon_sha256":"aec8e4cdf5a49390bc5dae3304c8e36a512b432c596e5e76560ae923055d7dfd"},"schema_version":"1.0"},"canonical_sha256":"4553223de52f38c96bce50de54fb60244f2dc1d7e37c11134b1890e93c7a6ccb","source":{"kind":"arxiv","id":"1804.05310","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05310","created_at":"2026-05-18T00:18:28Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05310v1","created_at":"2026-05-18T00:18:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05310","created_at":"2026-05-18T00:18:28Z"},{"alias_kind":"pith_short_12","alias_value":"IVJSEPPFF44M","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IVJSEPPFF44MS26O","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IVJSEPPF","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:IVJSEPPFF44MS26OKDPFJ63AER","target":"record","payload":{"canonical_record":{"source":{"id":"1804.05310","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-15T07:01:21Z","cross_cats_sorted":[],"title_canon_sha256":"2c4296436941ffe95b6a3c99dbc7fa01caa525a87d744ab756878eb7783e2d3d","abstract_canon_sha256":"aec8e4cdf5a49390bc5dae3304c8e36a512b432c596e5e76560ae923055d7dfd"},"schema_version":"1.0"},"canonical_sha256":"4553223de52f38c96bce50de54fb60244f2dc1d7e37c11134b1890e93c7a6ccb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:28.381223Z","signature_b64":"KCVzty/CAbd7oBUM4+gcPxMQl62UcSXKBcz0L8lF6F1OFDqjZMDNyALnqg+LIVO0k3yL0LM4UqgTs4YlLjYzAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4553223de52f38c96bce50de54fb60244f2dc1d7e37c11134b1890e93c7a6ccb","last_reissued_at":"2026-05-18T00:18:28.380763Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:28.380763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.05310","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":"2026-05-18T00:18:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rHtRcenkFwVmvHIn3ZMvGJ+KUrCtPL1cl2N64cte+F0E5X14DZr0GkrRI6u9JHWyBB9GR7gO+eBTb4zu/6t3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T21:41:52.826410Z"},"content_sha256":"40c9a9b4b2981468bd9be4a18537fc0a7c985bc54d4ff7db05313aef34cae063","schema_version":"1.0","event_id":"sha256:40c9a9b4b2981468bd9be4a18537fc0a7c985bc54d4ff7db05313aef34cae063"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:IVJSEPPFF44MS26OKDPFJ63AER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invariants of stable quasimaps with fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Huai-Liang Chang, Mu-Lin Li","submitted_at":"2018-04-15T07:01:21Z","abstract_excerpt":"For an arbitrary smooth hypersurface X in a projective space, we construct its LG moduli of quasimaps with P fields. Apply Kiem-Li's cosection localization we obtain a virtual fundamental class. We show the class coincides, up to sign, with that of moduli of quasimaps to X. This generalizes Chang-Li's numerical identity to the cycle level, and from Gromov Witten invariants to quasimap invariants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05310","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":"2026-05-18T00:18:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ipkp7BX0DHujB/Jk20JLqczrKuQ1d+a8NrvDgWt5WOcGOtO27Jl5jMA+x7aZvNdFi3A5yexvHH53H2j17PsBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T21:41:52.827005Z"},"content_sha256":"89bb30b5c93ac34dfc66f8095786f2bc6107cdb584f7ac83c2bcb00048cfbe22","schema_version":"1.0","event_id":"sha256:89bb30b5c93ac34dfc66f8095786f2bc6107cdb584f7ac83c2bcb00048cfbe22"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IVJSEPPFF44MS26OKDPFJ63AER/bundle.json","state_url":"https://pith.science/pith/IVJSEPPFF44MS26OKDPFJ63AER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IVJSEPPFF44MS26OKDPFJ63AER/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":"2026-05-24T21:41:52Z","links":{"resolver":"https://pith.science/pith/IVJSEPPFF44MS26OKDPFJ63AER","bundle":"https://pith.science/pith/IVJSEPPFF44MS26OKDPFJ63AER/bundle.json","state":"https://pith.science/pith/IVJSEPPFF44MS26OKDPFJ63AER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IVJSEPPFF44MS26OKDPFJ63AER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IVJSEPPFF44MS26OKDPFJ63AER","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":"aec8e4cdf5a49390bc5dae3304c8e36a512b432c596e5e76560ae923055d7dfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-15T07:01:21Z","title_canon_sha256":"2c4296436941ffe95b6a3c99dbc7fa01caa525a87d744ab756878eb7783e2d3d"},"schema_version":"1.0","source":{"id":"1804.05310","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05310","created_at":"2026-05-18T00:18:28Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05310v1","created_at":"2026-05-18T00:18:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05310","created_at":"2026-05-18T00:18:28Z"},{"alias_kind":"pith_short_12","alias_value":"IVJSEPPFF44M","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IVJSEPPFF44MS26O","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IVJSEPPF","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:89bb30b5c93ac34dfc66f8095786f2bc6107cdb584f7ac83c2bcb00048cfbe22","target":"graph","created_at":"2026-05-18T00:18:28Z","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":"For an arbitrary smooth hypersurface X in a projective space, we construct its LG moduli of quasimaps with P fields. Apply Kiem-Li's cosection localization we obtain a virtual fundamental class. We show the class coincides, up to sign, with that of moduli of quasimaps to X. This generalizes Chang-Li's numerical identity to the cycle level, and from Gromov Witten invariants to quasimap invariants.","authors_text":"Huai-Liang Chang, Mu-Lin Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-15T07:01:21Z","title":"Invariants of stable quasimaps with fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05310","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":"sha256:40c9a9b4b2981468bd9be4a18537fc0a7c985bc54d4ff7db05313aef34cae063","target":"record","created_at":"2026-05-18T00:18:28Z","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":"aec8e4cdf5a49390bc5dae3304c8e36a512b432c596e5e76560ae923055d7dfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-15T07:01:21Z","title_canon_sha256":"2c4296436941ffe95b6a3c99dbc7fa01caa525a87d744ab756878eb7783e2d3d"},"schema_version":"1.0","source":{"id":"1804.05310","kind":"arxiv","version":1}},"canonical_sha256":"4553223de52f38c96bce50de54fb60244f2dc1d7e37c11134b1890e93c7a6ccb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4553223de52f38c96bce50de54fb60244f2dc1d7e37c11134b1890e93c7a6ccb","first_computed_at":"2026-05-18T00:18:28.380763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:28.380763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KCVzty/CAbd7oBUM4+gcPxMQl62UcSXKBcz0L8lF6F1OFDqjZMDNyALnqg+LIVO0k3yL0LM4UqgTs4YlLjYzAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:28.381223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05310","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40c9a9b4b2981468bd9be4a18537fc0a7c985bc54d4ff7db05313aef34cae063","sha256:89bb30b5c93ac34dfc66f8095786f2bc6107cdb584f7ac83c2bcb00048cfbe22"],"state_sha256":"f01777c96fa628d79ee646e7ce4458d209047863b2aba7006a500d7cd6d5cff4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qvaguu56GbJxwx8cDTjH3TEcbi5oZkr8wbVQl1hdXic24EW5Ne75LzAioXbOsdn7EBB4asTWpwzS1xenFZwGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T21:41:52.829906Z","bundle_sha256":"90de93d39963f6a507c04be91da58415c6941cfc9cc878b65e46eebc9ce8e7e0"}}