{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ITCJ33LA7TPUKHQS53XZOMMTVQ","short_pith_number":"pith:ITCJ33LA","canonical_record":{"source":{"id":"2109.13048","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-09-27T13:42:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d391d031aba59a3ddf0166bca3fd1d9a30aaf4da3e657e8466d898e8b6c2c674","abstract_canon_sha256":"82e2dd2b83cda1a721ec8424ab4b126bf1242594cbb603f94173d84b17c15cc3"},"schema_version":"1.0"},"canonical_sha256":"44c49ded60fcdf451e12eeef973193ac23e398305d54c07e20f6a372f219bf58","source":{"kind":"arxiv","id":"2109.13048","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.13048","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"arxiv_version","alias_value":"2109.13048v3","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.13048","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"pith_short_12","alias_value":"ITCJ33LA7TPU","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"pith_short_16","alias_value":"ITCJ33LA7TPUKHQS","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"pith_short_8","alias_value":"ITCJ33LA","created_at":"2026-07-05T07:20:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ITCJ33LA7TPUKHQS53XZOMMTVQ","target":"record","payload":{"canonical_record":{"source":{"id":"2109.13048","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-09-27T13:42:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d391d031aba59a3ddf0166bca3fd1d9a30aaf4da3e657e8466d898e8b6c2c674","abstract_canon_sha256":"82e2dd2b83cda1a721ec8424ab4b126bf1242594cbb603f94173d84b17c15cc3"},"schema_version":"1.0"},"canonical_sha256":"44c49ded60fcdf451e12eeef973193ac23e398305d54c07e20f6a372f219bf58","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:20:46.995523Z","signature_b64":"kGbV+S3bh0b2ahgeE3B3PKtTYuoqMZprjAA3GtMo8CNA9rxOK+z5WQhRq9GDD5FoHFJc4rGEWW20/5CP9K0VBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44c49ded60fcdf451e12eeef973193ac23e398305d54c07e20f6a372f219bf58","last_reissued_at":"2026-07-05T07:20:46.995116Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:20:46.995116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.13048","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:20:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a3938v/JnvGUS4naLNRkxIm6RoVH3QgEmRtJ6YJfr/78aPmtfU5NItwYFMkh3cVUbTuJCib6C7tVvVcZLdLhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:30:18.032660Z"},"content_sha256":"ee17acff15c7acc561fa48bde04ab95cc3afec1380e2383ebbb7e2d1ff1d8959","schema_version":"1.0","event_id":"sha256:ee17acff15c7acc561fa48bde04ab95cc3afec1380e2383ebbb7e2d1ff1d8959"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ITCJ33LA7TPUKHQS53XZOMMTVQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Log Calabi-Yau surfaces and Jeffrey-Kirwan residues","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"Jacopo Stoppa, Riccardo Ontani","submitted_at":"2021-09-27T13:42:38Z","abstract_excerpt":"We prove an equality, predicted in the physical literature, between the Jeffrey-Kirwan residues of certain explicit meromorphic forms attached to a quiver without loops or oriented cycles and its Donaldson-Thomas type invariants. In the special case of complete bipartite quivers we also show independently, using scattering diagrams and theta functions, that the same Jeffrey-Kirwan residues are determined by the the Gross-Hacking-Keel mirror family to a log Calabi-Yau surface."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.13048","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.13048/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:20:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MoHRvTkHsO8HGw2/uZJPRKTtYu8TSovEKClxQyFu7jGPRnJtr+ZvZ9UnY+ScJilDP7ciK8d+CB1TiSPZje2tAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:30:18.033167Z"},"content_sha256":"7375c1edc7380c7b277d7f1a361499cda193defede265f68f390da97299edd6b","schema_version":"1.0","event_id":"sha256:7375c1edc7380c7b277d7f1a361499cda193defede265f68f390da97299edd6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ITCJ33LA7TPUKHQS53XZOMMTVQ/bundle.json","state_url":"https://pith.science/pith/ITCJ33LA7TPUKHQS53XZOMMTVQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ITCJ33LA7TPUKHQS53XZOMMTVQ/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":"2026-08-11T14:30:18Z","links":{"resolver":"https://pith.science/pith/ITCJ33LA7TPUKHQS53XZOMMTVQ","bundle":"https://pith.science/pith/ITCJ33LA7TPUKHQS53XZOMMTVQ/bundle.json","state":"https://pith.science/pith/ITCJ33LA7TPUKHQS53XZOMMTVQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ITCJ33LA7TPUKHQS53XZOMMTVQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ITCJ33LA7TPUKHQS53XZOMMTVQ","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":"82e2dd2b83cda1a721ec8424ab4b126bf1242594cbb603f94173d84b17c15cc3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-09-27T13:42:38Z","title_canon_sha256":"d391d031aba59a3ddf0166bca3fd1d9a30aaf4da3e657e8466d898e8b6c2c674"},"schema_version":"1.0","source":{"id":"2109.13048","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.13048","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"arxiv_version","alias_value":"2109.13048v3","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.13048","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"pith_short_12","alias_value":"ITCJ33LA7TPU","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"pith_short_16","alias_value":"ITCJ33LA7TPUKHQS","created_at":"2026-07-05T07:20:46Z"},{"alias_kind":"pith_short_8","alias_value":"ITCJ33LA","created_at":"2026-07-05T07:20:46Z"}],"graph_snapshots":[{"event_id":"sha256:7375c1edc7380c7b277d7f1a361499cda193defede265f68f390da97299edd6b","target":"graph","created_at":"2026-07-05T07:20:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2109.13048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove an equality, predicted in the physical literature, between the Jeffrey-Kirwan residues of certain explicit meromorphic forms attached to a quiver without loops or oriented cycles and its Donaldson-Thomas type invariants. In the special case of complete bipartite quivers we also show independently, using scattering diagrams and theta functions, that the same Jeffrey-Kirwan residues are determined by the the Gross-Hacking-Keel mirror family to a log Calabi-Yau surface.","authors_text":"Jacopo Stoppa, Riccardo Ontani","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-09-27T13:42:38Z","title":"Log Calabi-Yau surfaces and Jeffrey-Kirwan residues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.13048","kind":"arxiv","version":3},"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:ee17acff15c7acc561fa48bde04ab95cc3afec1380e2383ebbb7e2d1ff1d8959","target":"record","created_at":"2026-07-05T07:20:46Z","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":"82e2dd2b83cda1a721ec8424ab4b126bf1242594cbb603f94173d84b17c15cc3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-09-27T13:42:38Z","title_canon_sha256":"d391d031aba59a3ddf0166bca3fd1d9a30aaf4da3e657e8466d898e8b6c2c674"},"schema_version":"1.0","source":{"id":"2109.13048","kind":"arxiv","version":3}},"canonical_sha256":"44c49ded60fcdf451e12eeef973193ac23e398305d54c07e20f6a372f219bf58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44c49ded60fcdf451e12eeef973193ac23e398305d54c07e20f6a372f219bf58","first_computed_at":"2026-07-05T07:20:46.995116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:20:46.995116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kGbV+S3bh0b2ahgeE3B3PKtTYuoqMZprjAA3GtMo8CNA9rxOK+z5WQhRq9GDD5FoHFJc4rGEWW20/5CP9K0VBg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:20:46.995523Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.13048","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee17acff15c7acc561fa48bde04ab95cc3afec1380e2383ebbb7e2d1ff1d8959","sha256:7375c1edc7380c7b277d7f1a361499cda193defede265f68f390da97299edd6b"],"state_sha256":"4980a70c924c0def41db330e3360928c195b3290a0cb5eb571651fde8d19f528"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XEwwdn71E2aOrJaSJ4xTPyRjluMmC+Vq+9vRanCQuVUA2Ihx5FeWoH0V0J39LJtF3qUYXBidkiD5i1mWywsQAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T14:30:18.038743Z","bundle_sha256":"e32a4693f7151cdba465eed10345d0e83edc38de7487140c313e996e7d501ef2"}}