{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6JXDWXCFDGDJXEVQDDBVCCO7LQ","short_pith_number":"pith:6JXDWXCF","canonical_record":{"source":{"id":"1404.7802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-30T17:09:32Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"d337dd1c08eb44f0ca717177a7687852a027b74631e754aae4275bf8f45fd43e","abstract_canon_sha256":"552eba2e31275ded3e8ebd27105f2cc722d26a37b3610b82abe602ac33844317"},"schema_version":"1.0"},"canonical_sha256":"f26e3b5c4519869b92b018c35109df5c1c935b0a10cf05d3fb76fa0e31ac7141","source":{"kind":"arxiv","id":"1404.7802","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7802","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7802v1","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7802","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"pith_short_12","alias_value":"6JXDWXCFDGDJ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6JXDWXCFDGDJXEVQ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6JXDWXCF","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6JXDWXCFDGDJXEVQDDBVCCO7LQ","target":"record","payload":{"canonical_record":{"source":{"id":"1404.7802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-30T17:09:32Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"d337dd1c08eb44f0ca717177a7687852a027b74631e754aae4275bf8f45fd43e","abstract_canon_sha256":"552eba2e31275ded3e8ebd27105f2cc722d26a37b3610b82abe602ac33844317"},"schema_version":"1.0"},"canonical_sha256":"f26e3b5c4519869b92b018c35109df5c1c935b0a10cf05d3fb76fa0e31ac7141","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:21.409384Z","signature_b64":"ypmDKOFVWjX2c04uEaiQ7HDKvr/4Gw5ik9povogZBDYLWdaNA01d2HXcriXdd4PMHjefJ0ow5pIBmGsaI/BxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f26e3b5c4519869b92b018c35109df5c1c935b0a10cf05d3fb76fa0e31ac7141","last_reissued_at":"2026-05-18T01:43:21.408780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:21.408780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.7802","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":"2026-05-18T01:43:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pB9yFxtbnEzB2SopZRGEhH8rcYMXZhF/z/nHztc4NB0eZTOgOZ/ImCQvX6d4a0EXfLp7LXe60YnK26CQ7gmdDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:23:21.828415Z"},"content_sha256":"b248c917e5a51ede1098e65a81b53687c63a647c48181788d46b2c377a7557d7","schema_version":"1.0","event_id":"sha256:b248c917e5a51ede1098e65a81b53687c63a647c48181788d46b2c377a7557d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6JXDWXCFDGDJXEVQDDBVCCO7LQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rational Curves and (0,2)-Deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Benjamin Gaines, Paul S. Aspinwall","submitted_at":"2014-04-30T17:09:32Z","abstract_excerpt":"We compare the count of (0,2)-deformation moduli fields for N=(2,2) conformal field theories on orbifolds and sigma-models on resolutions of the orbifold. The latter involves counting deformations of the tangent sheaf. We see there is generally a discrepancy which is expected to be explained by worldsheet instanton corrections coming from rational curves in the orbifold resolution. We analyze the rational curves on the resolution to determine such corrections and discover that irreducible toric rational curves account for some, but not all, of the discrepancy. In particular, this proves that t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7802","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":"2026-05-18T01:43:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YOxw/WEwWWjioxWacXJmj0HpgfB+ygdjoyxPAmjIv6Au/ZdAlXNIamf6BhLVKTQUppWB1FgpbJ0VN9s7W8J5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:23:21.828822Z"},"content_sha256":"72c65250895497b7eca02e4509717a3578cfecf1a9644d877cb3b564e518fbff","schema_version":"1.0","event_id":"sha256:72c65250895497b7eca02e4509717a3578cfecf1a9644d877cb3b564e518fbff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6JXDWXCFDGDJXEVQDDBVCCO7LQ/bundle.json","state_url":"https://pith.science/pith/6JXDWXCFDGDJXEVQDDBVCCO7LQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6JXDWXCFDGDJXEVQDDBVCCO7LQ/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":"2026-05-30T13:23:21Z","links":{"resolver":"https://pith.science/pith/6JXDWXCFDGDJXEVQDDBVCCO7LQ","bundle":"https://pith.science/pith/6JXDWXCFDGDJXEVQDDBVCCO7LQ/bundle.json","state":"https://pith.science/pith/6JXDWXCFDGDJXEVQDDBVCCO7LQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6JXDWXCFDGDJXEVQDDBVCCO7LQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6JXDWXCFDGDJXEVQDDBVCCO7LQ","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":"552eba2e31275ded3e8ebd27105f2cc722d26a37b3610b82abe602ac33844317","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-30T17:09:32Z","title_canon_sha256":"d337dd1c08eb44f0ca717177a7687852a027b74631e754aae4275bf8f45fd43e"},"schema_version":"1.0","source":{"id":"1404.7802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7802","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7802v1","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7802","created_at":"2026-05-18T01:43:21Z"},{"alias_kind":"pith_short_12","alias_value":"6JXDWXCFDGDJ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6JXDWXCFDGDJXEVQ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6JXDWXCF","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:72c65250895497b7eca02e4509717a3578cfecf1a9644d877cb3b564e518fbff","target":"graph","created_at":"2026-05-18T01:43:21Z","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 compare the count of (0,2)-deformation moduli fields for N=(2,2) conformal field theories on orbifolds and sigma-models on resolutions of the orbifold. The latter involves counting deformations of the tangent sheaf. We see there is generally a discrepancy which is expected to be explained by worldsheet instanton corrections coming from rational curves in the orbifold resolution. We analyze the rational curves on the resolution to determine such corrections and discover that irreducible toric rational curves account for some, but not all, of the discrepancy. In particular, this proves that t","authors_text":"Benjamin Gaines, Paul S. Aspinwall","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-30T17:09:32Z","title":"Rational Curves and (0,2)-Deformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7802","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:b248c917e5a51ede1098e65a81b53687c63a647c48181788d46b2c377a7557d7","target":"record","created_at":"2026-05-18T01:43:21Z","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":"552eba2e31275ded3e8ebd27105f2cc722d26a37b3610b82abe602ac33844317","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-30T17:09:32Z","title_canon_sha256":"d337dd1c08eb44f0ca717177a7687852a027b74631e754aae4275bf8f45fd43e"},"schema_version":"1.0","source":{"id":"1404.7802","kind":"arxiv","version":1}},"canonical_sha256":"f26e3b5c4519869b92b018c35109df5c1c935b0a10cf05d3fb76fa0e31ac7141","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f26e3b5c4519869b92b018c35109df5c1c935b0a10cf05d3fb76fa0e31ac7141","first_computed_at":"2026-05-18T01:43:21.408780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:21.408780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ypmDKOFVWjX2c04uEaiQ7HDKvr/4Gw5ik9povogZBDYLWdaNA01d2HXcriXdd4PMHjefJ0ow5pIBmGsaI/BxCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:21.409384Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.7802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b248c917e5a51ede1098e65a81b53687c63a647c48181788d46b2c377a7557d7","sha256:72c65250895497b7eca02e4509717a3578cfecf1a9644d877cb3b564e518fbff"],"state_sha256":"7084f773975d91c626c05b664a3f00e97f690fc0c1f102900bf19bff62487f3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HYngRNgrhh60rx7MsKZglW8GVKBiWOxvLrcAb5WxtInyM48KKj6obXZpDXpV9Wb5BW95zBUVS+RYTIqHcODyAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:23:21.831151Z","bundle_sha256":"1dbd91b35e0793b15bca43cfab3cc20fc6a3fa47a3fff36f13304b232c543959"}}