{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:3KTU4XSDRJ3TJ2A2IPZUDGRGZR","short_pith_number":"pith:3KTU4XSD","canonical_record":{"source":{"id":"2309.02154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-09-05T11:47:06Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"2a11c7c942e54adf74e9681861da65153e942e61c01771693979e501332953a9","abstract_canon_sha256":"c0309b80f91c3e6e76493124394dae3b3e2f11c77d8063a16f48086417dea846"},"schema_version":"1.0"},"canonical_sha256":"daa74e5e438a7734e81a43f3419a26cc626268cfc65ab7292ee4bba814021f94","source":{"kind":"arxiv","id":"2309.02154","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.02154","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"arxiv_version","alias_value":"2309.02154v1","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.02154","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"pith_short_12","alias_value":"3KTU4XSDRJ3T","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"pith_short_16","alias_value":"3KTU4XSDRJ3TJ2A2","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"pith_short_8","alias_value":"3KTU4XSD","created_at":"2026-07-05T06:47:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:3KTU4XSDRJ3TJ2A2IPZUDGRGZR","target":"record","payload":{"canonical_record":{"source":{"id":"2309.02154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-09-05T11:47:06Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"2a11c7c942e54adf74e9681861da65153e942e61c01771693979e501332953a9","abstract_canon_sha256":"c0309b80f91c3e6e76493124394dae3b3e2f11c77d8063a16f48086417dea846"},"schema_version":"1.0"},"canonical_sha256":"daa74e5e438a7734e81a43f3419a26cc626268cfc65ab7292ee4bba814021f94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:47:49.216517Z","signature_b64":"9GiQn1l//kVmPR7DxZGTZ34owWih2KoqOUSD6AJSJaUtO5cx0XCWNL0ad+O7Cqh6nx5Qtf6fZsoRrDKay6R3Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daa74e5e438a7734e81a43f3419a26cc626268cfc65ab7292ee4bba814021f94","last_reissued_at":"2026-07-05T06:47:49.216103Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:47:49.216103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.02154","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":"2026-07-05T06:47:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rGh+zz4qpLTIkjdR2EAL5HqT8VMiBoedjx05bB2ZUm5hx/5bue8gLQiLG8kaUaxFeqO7qPMo7aLJWe4Lyjg2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T07:55:08.798649Z"},"content_sha256":"9327d20f415b58fd4e25397d012ec6b626ae3a7761ade15aab509ef91d06d5ba","schema_version":"1.0","event_id":"sha256:9327d20f415b58fd4e25397d012ec6b626ae3a7761ade15aab509ef91d06d5ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:3KTU4XSDRJ3TJ2A2IPZUDGRGZR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mirror symmetric Gamma conjecture for del Pezzo surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Bohan Fang, Junxiao Wang, Yan Zhou","submitted_at":"2023-09-05T11:47:06Z","abstract_excerpt":"For a del Pezzo surface of degree $\\geq 3$, we compute the oscillatory integral for its mirror Landau-Ginzburg model in the sense of Gross-Hacking-Keel [Mark Gross, Paul Hacking, and Sean Keel, \"Mirror symmetry for log Calabi-Yau surfaces I\". In: Publ. Math. Inst. Hautes Etudes Sci. 122 (2015), pp. 65-168]. We explicitly construct the mirror cycle of a line bundle and show that the leading order of the integral on this cycle involves the twisted Chern character and the Gamma class. This proves a version of the Gamma conjecture for non-toric Fano surfaces with an arbitrary K-group insertion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.02154","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2309.02154/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":"2026-07-05T06:47:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5CuO29lNXN6hFnqUPDkT3Sgimjd4wbUQHCHSwZCPKUDRKvCyvQqLlCH/5OnBQ2CriLc2C+cKElPnVtPtGuP2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T07:55:08.799027Z"},"content_sha256":"b72743cc56c77f20ecd4b989547d68fb1c17f8e48249af60d6c86e74526cc3bf","schema_version":"1.0","event_id":"sha256:b72743cc56c77f20ecd4b989547d68fb1c17f8e48249af60d6c86e74526cc3bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KTU4XSDRJ3TJ2A2IPZUDGRGZR/bundle.json","state_url":"https://pith.science/pith/3KTU4XSDRJ3TJ2A2IPZUDGRGZR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KTU4XSDRJ3TJ2A2IPZUDGRGZR/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":"2026-07-07T07:55:08Z","links":{"resolver":"https://pith.science/pith/3KTU4XSDRJ3TJ2A2IPZUDGRGZR","bundle":"https://pith.science/pith/3KTU4XSDRJ3TJ2A2IPZUDGRGZR/bundle.json","state":"https://pith.science/pith/3KTU4XSDRJ3TJ2A2IPZUDGRGZR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KTU4XSDRJ3TJ2A2IPZUDGRGZR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3KTU4XSDRJ3TJ2A2IPZUDGRGZR","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":"c0309b80f91c3e6e76493124394dae3b3e2f11c77d8063a16f48086417dea846","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-09-05T11:47:06Z","title_canon_sha256":"2a11c7c942e54adf74e9681861da65153e942e61c01771693979e501332953a9"},"schema_version":"1.0","source":{"id":"2309.02154","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.02154","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"arxiv_version","alias_value":"2309.02154v1","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.02154","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"pith_short_12","alias_value":"3KTU4XSDRJ3T","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"pith_short_16","alias_value":"3KTU4XSDRJ3TJ2A2","created_at":"2026-07-05T06:47:49Z"},{"alias_kind":"pith_short_8","alias_value":"3KTU4XSD","created_at":"2026-07-05T06:47:49Z"}],"graph_snapshots":[{"event_id":"sha256:b72743cc56c77f20ecd4b989547d68fb1c17f8e48249af60d6c86e74526cc3bf","target":"graph","created_at":"2026-07-05T06:47:49Z","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/2309.02154/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a del Pezzo surface of degree $\\geq 3$, we compute the oscillatory integral for its mirror Landau-Ginzburg model in the sense of Gross-Hacking-Keel [Mark Gross, Paul Hacking, and Sean Keel, \"Mirror symmetry for log Calabi-Yau surfaces I\". In: Publ. Math. Inst. Hautes Etudes Sci. 122 (2015), pp. 65-168]. We explicitly construct the mirror cycle of a line bundle and show that the leading order of the integral on this cycle involves the twisted Chern character and the Gamma class. This proves a version of the Gamma conjecture for non-toric Fano surfaces with an arbitrary K-group insertion.","authors_text":"Bohan Fang, Junxiao Wang, Yan Zhou","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-09-05T11:47:06Z","title":"Mirror symmetric Gamma conjecture for del Pezzo surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.02154","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":"sha256:9327d20f415b58fd4e25397d012ec6b626ae3a7761ade15aab509ef91d06d5ba","target":"record","created_at":"2026-07-05T06:47:49Z","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":"c0309b80f91c3e6e76493124394dae3b3e2f11c77d8063a16f48086417dea846","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-09-05T11:47:06Z","title_canon_sha256":"2a11c7c942e54adf74e9681861da65153e942e61c01771693979e501332953a9"},"schema_version":"1.0","source":{"id":"2309.02154","kind":"arxiv","version":1}},"canonical_sha256":"daa74e5e438a7734e81a43f3419a26cc626268cfc65ab7292ee4bba814021f94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daa74e5e438a7734e81a43f3419a26cc626268cfc65ab7292ee4bba814021f94","first_computed_at":"2026-07-05T06:47:49.216103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:47:49.216103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9GiQn1l//kVmPR7DxZGTZ34owWih2KoqOUSD6AJSJaUtO5cx0XCWNL0ad+O7Cqh6nx5Qtf6fZsoRrDKay6R3Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:47:49.216517Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.02154","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9327d20f415b58fd4e25397d012ec6b626ae3a7761ade15aab509ef91d06d5ba","sha256:b72743cc56c77f20ecd4b989547d68fb1c17f8e48249af60d6c86e74526cc3bf"],"state_sha256":"0ccccf970c304ebf6417690dd9bdf28fc7f083d9c9a18b40ef26c66e9b7f89f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RQ3Jz+3lrOk82QyTMUlPGTUaM9quWedVMZvVRROdNl8qAGP1Yr9aGLIG3vhY/yODk8552rz8Dor+3oVvYq5/Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T07:55:08.801035Z","bundle_sha256":"02f6a2908e52056b51e6f54879178f166076863400838d977785627eff8c91f1"}}