{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:NCLMU2QP6DPOJDLR26UF3UTUMO","short_pith_number":"pith:NCLMU2QP","canonical_record":{"source":{"id":"0809.4253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-09-24T19:32:10Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4108df2ff117d499027355076045f0421acfaaf2974eec95b1b06c7ce9886a98","abstract_canon_sha256":"5d10c39edd8e12680fba61c9ab011dc3fd8f91ea7627c212683b28aa82f33bad"},"schema_version":"1.0"},"canonical_sha256":"6896ca6a0ff0dee48d71d7a85dd2746382a7531824b8c002db4a2311ad2d5423","source":{"kind":"arxiv","id":"0809.4253","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.4253","created_at":"2026-05-18T04:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"0809.4253v1","created_at":"2026-05-18T04:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.4253","created_at":"2026-05-18T04:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"NCLMU2QP6DPO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"NCLMU2QP6DPOJDLR","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"NCLMU2QP","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:NCLMU2QP6DPOJDLR26UF3UTUMO","target":"record","payload":{"canonical_record":{"source":{"id":"0809.4253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-09-24T19:32:10Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4108df2ff117d499027355076045f0421acfaaf2974eec95b1b06c7ce9886a98","abstract_canon_sha256":"5d10c39edd8e12680fba61c9ab011dc3fd8f91ea7627c212683b28aa82f33bad"},"schema_version":"1.0"},"canonical_sha256":"6896ca6a0ff0dee48d71d7a85dd2746382a7531824b8c002db4a2311ad2d5423","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:58.359391Z","signature_b64":"lzfAvYs//l9FuRgA6w+jpWpyErjaM+Vcv8eYjaeDhBXzNu6kI8lPSsHmtFeNOcHzAz0w5LQJ+/W1uf1MpyklAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6896ca6a0ff0dee48d71d7a85dd2746382a7531824b8c002db4a2311ad2d5423","last_reissued_at":"2026-05-18T04:27:58.358862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:58.358862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0809.4253","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":"2026-05-18T04:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mXN/R3JEX/FqW1tsP3J7mNO/haEc3NRoCI+uI09tnjCatscVPqwid/V7dlWOQiJ+sovq+8k+LsTfMOD9W8RqCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:10:40.916851Z"},"content_sha256":"91b5edec2435beea080e5218d4c9b9218f6ab34ae8a68bbb1addfdb2caec8e09","schema_version":"1.0","event_id":"sha256:91b5edec2435beea080e5218d4c9b9218f6ab34ae8a68bbb1addfdb2caec8e09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:NCLMU2QP6DPOJDLR26UF3UTUMO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global Properties of Topological String Amplitudes and Orbifold Invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"J.D. Laenge, M. Alim, P. Mayr","submitted_at":"2008-09-24T19:32:10Z","abstract_excerpt":"We derive topological string amplitudes on local Calabi-Yau manifolds in terms of polynomials in finitely many generators of special functions. These objects are defined globally in the moduli space and lead to a description of mirror symmetry at any point in the moduli space. Holomorphic ambiguities of the anomaly equations are fixed by global information obtained from boundary conditions at few special divisors in the moduli space. As an illustration we compute higher genus orbifold Gromov-Witten invariants for C^3/Z_3 and C^3/Z_4."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.4253","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":"2026-05-18T04:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o8kuLPS7hDODIIhzDuk7a0lOxEinX+6j1lz9VZYSe/SRGb/nACJiwbvEqLO/pI4Dvkkr5gZEOwaR/6beE/cpAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:10:40.917224Z"},"content_sha256":"274a9d68670584b3e2ccbfd6b602885575ae137f33fc7f172acc37a57f55a9b7","schema_version":"1.0","event_id":"sha256:274a9d68670584b3e2ccbfd6b602885575ae137f33fc7f172acc37a57f55a9b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCLMU2QP6DPOJDLR26UF3UTUMO/bundle.json","state_url":"https://pith.science/pith/NCLMU2QP6DPOJDLR26UF3UTUMO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCLMU2QP6DPOJDLR26UF3UTUMO/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":"2026-05-26T19:10:40Z","links":{"resolver":"https://pith.science/pith/NCLMU2QP6DPOJDLR26UF3UTUMO","bundle":"https://pith.science/pith/NCLMU2QP6DPOJDLR26UF3UTUMO/bundle.json","state":"https://pith.science/pith/NCLMU2QP6DPOJDLR26UF3UTUMO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCLMU2QP6DPOJDLR26UF3UTUMO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:NCLMU2QP6DPOJDLR26UF3UTUMO","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":"5d10c39edd8e12680fba61c9ab011dc3fd8f91ea7627c212683b28aa82f33bad","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-09-24T19:32:10Z","title_canon_sha256":"4108df2ff117d499027355076045f0421acfaaf2974eec95b1b06c7ce9886a98"},"schema_version":"1.0","source":{"id":"0809.4253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.4253","created_at":"2026-05-18T04:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"0809.4253v1","created_at":"2026-05-18T04:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.4253","created_at":"2026-05-18T04:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"NCLMU2QP6DPO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"NCLMU2QP6DPOJDLR","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"NCLMU2QP","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:274a9d68670584b3e2ccbfd6b602885575ae137f33fc7f172acc37a57f55a9b7","target":"graph","created_at":"2026-05-18T04:27:58Z","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 derive topological string amplitudes on local Calabi-Yau manifolds in terms of polynomials in finitely many generators of special functions. These objects are defined globally in the moduli space and lead to a description of mirror symmetry at any point in the moduli space. Holomorphic ambiguities of the anomaly equations are fixed by global information obtained from boundary conditions at few special divisors in the moduli space. As an illustration we compute higher genus orbifold Gromov-Witten invariants for C^3/Z_3 and C^3/Z_4.","authors_text":"J.D. Laenge, M. Alim, P. Mayr","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-09-24T19:32:10Z","title":"Global Properties of Topological String Amplitudes and Orbifold Invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.4253","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":"sha256:91b5edec2435beea080e5218d4c9b9218f6ab34ae8a68bbb1addfdb2caec8e09","target":"record","created_at":"2026-05-18T04:27:58Z","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":"5d10c39edd8e12680fba61c9ab011dc3fd8f91ea7627c212683b28aa82f33bad","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-09-24T19:32:10Z","title_canon_sha256":"4108df2ff117d499027355076045f0421acfaaf2974eec95b1b06c7ce9886a98"},"schema_version":"1.0","source":{"id":"0809.4253","kind":"arxiv","version":1}},"canonical_sha256":"6896ca6a0ff0dee48d71d7a85dd2746382a7531824b8c002db4a2311ad2d5423","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6896ca6a0ff0dee48d71d7a85dd2746382a7531824b8c002db4a2311ad2d5423","first_computed_at":"2026-05-18T04:27:58.358862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:58.358862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lzfAvYs//l9FuRgA6w+jpWpyErjaM+Vcv8eYjaeDhBXzNu6kI8lPSsHmtFeNOcHzAz0w5LQJ+/W1uf1MpyklAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:58.359391Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.4253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91b5edec2435beea080e5218d4c9b9218f6ab34ae8a68bbb1addfdb2caec8e09","sha256:274a9d68670584b3e2ccbfd6b602885575ae137f33fc7f172acc37a57f55a9b7"],"state_sha256":"7d0ecab629cfd702599ee07bbc26f5e61cab0dc8efe4126fb567971221f35db6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ny+EjT6bSbaYl0fMJrbQN9GAVvQLtWsm08NYbzp+vR8+WyGdy+6oLbyXmvSJ+fdQsMflgMM22CeWAVwKagZgBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:10:40.920013Z","bundle_sha256":"bbe1b1a32630b600eb34d203546d3b2bfe302911a573c0af618f96bebc560b07"}}