{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7AMDUFXO6YAKW7YLK2RVWM6MOK","short_pith_number":"pith:7AMDUFXO","canonical_record":{"source":{"id":"1308.6377","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-29T06:46:30Z","cross_cats_sorted":[],"title_canon_sha256":"5426479a0105f3ba4aaf1923f98ba821013ff22fcc8877176707459681fb4d6d","abstract_canon_sha256":"a3d4e828598e2a239df55d2033341ca9bb81d933b2aae1c41d8bf6a33c494407"},"schema_version":"1.0"},"canonical_sha256":"f8183a16eef600ab7f0b56a35b33cc72a09119a87fcb46ecc643fa3a66cadeba","source":{"kind":"arxiv","id":"1308.6377","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6377","created_at":"2026-05-18T02:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6377v2","created_at":"2026-05-18T02:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6377","created_at":"2026-05-18T02:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"7AMDUFXO6YAK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7AMDUFXO6YAKW7YL","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7AMDUFXO","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7AMDUFXO6YAKW7YLK2RVWM6MOK","target":"record","payload":{"canonical_record":{"source":{"id":"1308.6377","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-29T06:46:30Z","cross_cats_sorted":[],"title_canon_sha256":"5426479a0105f3ba4aaf1923f98ba821013ff22fcc8877176707459681fb4d6d","abstract_canon_sha256":"a3d4e828598e2a239df55d2033341ca9bb81d933b2aae1c41d8bf6a33c494407"},"schema_version":"1.0"},"canonical_sha256":"f8183a16eef600ab7f0b56a35b33cc72a09119a87fcb46ecc643fa3a66cadeba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:55.807008Z","signature_b64":"z3mtNSFKoSmNlXk7pmocuRnRgVSKG2GJLRhHpIlBAdU8LHtcTXK2TCJJv+7eZ7saZwAXR2YtEGNWOZ2JgumjDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8183a16eef600ab7f0b56a35b33cc72a09119a87fcb46ecc643fa3a66cadeba","last_reissued_at":"2026-05-18T02:03:55.806229Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:55.806229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.6377","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":"2026-05-18T02:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mdjb8SlkpwfLu+MzJQ/Qo5mONThGBe9unclP2na5opEQhceC6ZA3a72dMjvhT78zyJ5lRToP72NQlo9qIRI9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:35:52.905598Z"},"content_sha256":"58b0f720e5456b8c098cb184bba27c92f5aceb2f2297126a9e6646c4320a0303","schema_version":"1.0","event_id":"sha256:58b0f720e5456b8c098cb184bba27c92f5aceb2f2297126a9e6646c4320a0303"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7AMDUFXO6YAKW7YLK2RVWM6MOK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher genus quasimap wall-crossing for semi-positive targets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bumsig Kim, Ionut Ciocan-Fontanine","submitted_at":"2013-08-29T06:46:30Z","abstract_excerpt":"In previous work (arXiv:1304.7056) we have conjectured wall-crossing formulas for genus zero quasimap invariants of GIT quotients and proved them via localization in many cases. We extend these formulas to higher genus when the target is semi-positive, and prove them for semi-positive toric varieties, in particular for toric local Calabi-Yau targets. The proof also applies to local Calabi-Yau's associated to some non-abelian quotients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6377","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":"2026-05-18T02:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Fa74mysNNujqCBkc7lEat01eBAu2x3X9MORqsuTllmUhxFZcqd95guDIIIOR37DJestwxNkQ+h5BipCiXKLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:35:52.906039Z"},"content_sha256":"e99bfc938a2a4ec839eb87285b0a367092567d704958431d77c4dd43c5b982f4","schema_version":"1.0","event_id":"sha256:e99bfc938a2a4ec839eb87285b0a367092567d704958431d77c4dd43c5b982f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7AMDUFXO6YAKW7YLK2RVWM6MOK/bundle.json","state_url":"https://pith.science/pith/7AMDUFXO6YAKW7YLK2RVWM6MOK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7AMDUFXO6YAKW7YLK2RVWM6MOK/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":"2026-05-25T19:35:52Z","links":{"resolver":"https://pith.science/pith/7AMDUFXO6YAKW7YLK2RVWM6MOK","bundle":"https://pith.science/pith/7AMDUFXO6YAKW7YLK2RVWM6MOK/bundle.json","state":"https://pith.science/pith/7AMDUFXO6YAKW7YLK2RVWM6MOK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7AMDUFXO6YAKW7YLK2RVWM6MOK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7AMDUFXO6YAKW7YLK2RVWM6MOK","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":"a3d4e828598e2a239df55d2033341ca9bb81d933b2aae1c41d8bf6a33c494407","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-29T06:46:30Z","title_canon_sha256":"5426479a0105f3ba4aaf1923f98ba821013ff22fcc8877176707459681fb4d6d"},"schema_version":"1.0","source":{"id":"1308.6377","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6377","created_at":"2026-05-18T02:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6377v2","created_at":"2026-05-18T02:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6377","created_at":"2026-05-18T02:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"7AMDUFXO6YAK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7AMDUFXO6YAKW7YL","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7AMDUFXO","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:e99bfc938a2a4ec839eb87285b0a367092567d704958431d77c4dd43c5b982f4","target":"graph","created_at":"2026-05-18T02:03:55Z","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 previous work (arXiv:1304.7056) we have conjectured wall-crossing formulas for genus zero quasimap invariants of GIT quotients and proved them via localization in many cases. We extend these formulas to higher genus when the target is semi-positive, and prove them for semi-positive toric varieties, in particular for toric local Calabi-Yau targets. The proof also applies to local Calabi-Yau's associated to some non-abelian quotients.","authors_text":"Bumsig Kim, Ionut Ciocan-Fontanine","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-29T06:46:30Z","title":"Higher genus quasimap wall-crossing for semi-positive targets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6377","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":"sha256:58b0f720e5456b8c098cb184bba27c92f5aceb2f2297126a9e6646c4320a0303","target":"record","created_at":"2026-05-18T02:03:55Z","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":"a3d4e828598e2a239df55d2033341ca9bb81d933b2aae1c41d8bf6a33c494407","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-29T06:46:30Z","title_canon_sha256":"5426479a0105f3ba4aaf1923f98ba821013ff22fcc8877176707459681fb4d6d"},"schema_version":"1.0","source":{"id":"1308.6377","kind":"arxiv","version":2}},"canonical_sha256":"f8183a16eef600ab7f0b56a35b33cc72a09119a87fcb46ecc643fa3a66cadeba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8183a16eef600ab7f0b56a35b33cc72a09119a87fcb46ecc643fa3a66cadeba","first_computed_at":"2026-05-18T02:03:55.806229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:55.806229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z3mtNSFKoSmNlXk7pmocuRnRgVSKG2GJLRhHpIlBAdU8LHtcTXK2TCJJv+7eZ7saZwAXR2YtEGNWOZ2JgumjDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:55.807008Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6377","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58b0f720e5456b8c098cb184bba27c92f5aceb2f2297126a9e6646c4320a0303","sha256:e99bfc938a2a4ec839eb87285b0a367092567d704958431d77c4dd43c5b982f4"],"state_sha256":"64076a21b67ab9e422e4b185cb44295eef122241cf4a895726808737a58a6130"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8wU7uMi+ad0Z9REUEAZTftK387lIEggxm4ZrjIyt7a3RnT16Wfu7Z0uPY0guVOYjRakiQ+YH9zqGTrszTDq5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:35:52.909919Z","bundle_sha256":"515f3275b305a516de21da9fc92866184897127fc075690ec8d534dc3c12e0f4"}}