{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:COPHHZ2ZU2RWQJNZWYAYM4IC65","short_pith_number":"pith:COPHHZ2Z","canonical_record":{"source":{"id":"hep-th/0409290","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-09-28T16:47:13Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7fa8b17e3c8b7682dd433b82fd1d23780db9390783953f1f88cfa0905a2a3943","abstract_canon_sha256":"90102e888fba6d6e6b4a1a2ec48f65a2ac150981b17d833279b239219b24b5c3"},"schema_version":"1.0"},"canonical_sha256":"139e73e759a6a36825b9b601867102f77a7ad13e5ef0fd06633f8699eea74871","source":{"kind":"arxiv","id":"hep-th/0409290","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0409290","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0409290v1","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0409290","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"pith_short_12","alias_value":"COPHHZ2ZU2RW","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"pith_short_16","alias_value":"COPHHZ2ZU2RWQJNZ","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"pith_short_8","alias_value":"COPHHZ2Z","created_at":"2026-07-04T14:32:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:COPHHZ2ZU2RWQJNZWYAYM4IC65","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0409290","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-09-28T16:47:13Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7fa8b17e3c8b7682dd433b82fd1d23780db9390783953f1f88cfa0905a2a3943","abstract_canon_sha256":"90102e888fba6d6e6b4a1a2ec48f65a2ac150981b17d833279b239219b24b5c3"},"schema_version":"1.0"},"canonical_sha256":"139e73e759a6a36825b9b601867102f77a7ad13e5ef0fd06633f8699eea74871","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:18.626170Z","signature_b64":"chNO6Whn5b0aBSVREHUH4wnQFYwup2hj679huYPE5+G+98f/QuagrfsV8S+Yj1YwSwewjjwEffxMFq0nW8ZXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"139e73e759a6a36825b9b601867102f77a7ad13e5ef0fd06633f8699eea74871","last_reissued_at":"2026-07-04T14:32:18.625762Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:18.625762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0409290","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":"2026-07-04T14:32:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZtE5+iJ2Wt26G9tn4FabygHMLhtvZA+jOoiGYl9KmfW26R6RBT4lIM2xmmxjeWSWGq6PWxTU9vHkctochzFbDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:32:27.117982Z"},"content_sha256":"875abbca9ca4381468f659232fe1884594194d49b8d696c77d1f820508c5e9f5","schema_version":"1.0","event_id":"sha256:875abbca9ca4381468f659232fe1884594194d49b8d696c77d1f820508c5e9f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:COPHHZ2ZU2RWQJNZWYAYM4IC65","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lattice polarized toric K3 surfaces","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Falk Rohsiepe","submitted_at":"2004-09-28T16:47:13Z","abstract_excerpt":"When studying mirror symmetry in the context of K3 surfaces, the hyperkaehler structure of K3 makes the notion of exchanging Kaehler and complex moduli ambiguous. On the other hand, the metric is not renormalized due to the higher amount of supersymmetry of the underlying superconformal field theory. Thus one can define a natural mapping from the classical K3 moduli space to the moduli space of conformal field theories. Apart from the generalization of mirror constructions for Calabi-Yau threefolds, there is a formulation of mirror symmetry in terms of orthogonal lattices and global moduli spa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0409290","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/hep-th/0409290/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":"2026-07-04T14:32:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0iTQGR+xfzcjF0MjpMdnz2rgjBRS+Y+o9rEES6EQ93jAnSYR/XWCAcIgpsVf+asNpLNX8q0qAPb7Q/Pv6uu4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:32:27.118499Z"},"content_sha256":"846f20a7a8c4864c73787c118160f1f2d0c7334170b5268d7aeb4002e9f6857c","schema_version":"1.0","event_id":"sha256:846f20a7a8c4864c73787c118160f1f2d0c7334170b5268d7aeb4002e9f6857c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/COPHHZ2ZU2RWQJNZWYAYM4IC65/bundle.json","state_url":"https://pith.science/pith/COPHHZ2ZU2RWQJNZWYAYM4IC65/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/COPHHZ2ZU2RWQJNZWYAYM4IC65/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":"2026-08-12T17:32:27Z","links":{"resolver":"https://pith.science/pith/COPHHZ2ZU2RWQJNZWYAYM4IC65","bundle":"https://pith.science/pith/COPHHZ2ZU2RWQJNZWYAYM4IC65/bundle.json","state":"https://pith.science/pith/COPHHZ2ZU2RWQJNZWYAYM4IC65/state.json","well_known_bundle":"https://pith.science/.well-known/pith/COPHHZ2ZU2RWQJNZWYAYM4IC65/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:COPHHZ2ZU2RWQJNZWYAYM4IC65","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":"90102e888fba6d6e6b4a1a2ec48f65a2ac150981b17d833279b239219b24b5c3","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"hep-th","submitted_at":"2004-09-28T16:47:13Z","title_canon_sha256":"7fa8b17e3c8b7682dd433b82fd1d23780db9390783953f1f88cfa0905a2a3943"},"schema_version":"1.0","source":{"id":"hep-th/0409290","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0409290","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0409290v1","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0409290","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"pith_short_12","alias_value":"COPHHZ2ZU2RW","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"pith_short_16","alias_value":"COPHHZ2ZU2RWQJNZ","created_at":"2026-07-04T14:32:18Z"},{"alias_kind":"pith_short_8","alias_value":"COPHHZ2Z","created_at":"2026-07-04T14:32:18Z"}],"graph_snapshots":[{"event_id":"sha256:846f20a7a8c4864c73787c118160f1f2d0c7334170b5268d7aeb4002e9f6857c","target":"graph","created_at":"2026-07-04T14:32:18Z","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/hep-th/0409290/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When studying mirror symmetry in the context of K3 surfaces, the hyperkaehler structure of K3 makes the notion of exchanging Kaehler and complex moduli ambiguous. On the other hand, the metric is not renormalized due to the higher amount of supersymmetry of the underlying superconformal field theory. Thus one can define a natural mapping from the classical K3 moduli space to the moduli space of conformal field theories. Apart from the generalization of mirror constructions for Calabi-Yau threefolds, there is a formulation of mirror symmetry in terms of orthogonal lattices and global moduli spa","authors_text":"Falk Rohsiepe","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-09-28T16:47:13Z","title":"Lattice polarized toric K3 surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0409290","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":"sha256:875abbca9ca4381468f659232fe1884594194d49b8d696c77d1f820508c5e9f5","target":"record","created_at":"2026-07-04T14:32:18Z","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":"90102e888fba6d6e6b4a1a2ec48f65a2ac150981b17d833279b239219b24b5c3","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"hep-th","submitted_at":"2004-09-28T16:47:13Z","title_canon_sha256":"7fa8b17e3c8b7682dd433b82fd1d23780db9390783953f1f88cfa0905a2a3943"},"schema_version":"1.0","source":{"id":"hep-th/0409290","kind":"arxiv","version":1}},"canonical_sha256":"139e73e759a6a36825b9b601867102f77a7ad13e5ef0fd06633f8699eea74871","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"139e73e759a6a36825b9b601867102f77a7ad13e5ef0fd06633f8699eea74871","first_computed_at":"2026-07-04T14:32:18.625762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:32:18.625762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"chNO6Whn5b0aBSVREHUH4wnQFYwup2hj679huYPE5+G+98f/QuagrfsV8S+Yj1YwSwewjjwEffxMFq0nW8ZXBw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:32:18.626170Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0409290","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:875abbca9ca4381468f659232fe1884594194d49b8d696c77d1f820508c5e9f5","sha256:846f20a7a8c4864c73787c118160f1f2d0c7334170b5268d7aeb4002e9f6857c"],"state_sha256":"51a1ca560dce59391e73e6323114edda42c7347e2debe4ff641830694b5ecfe0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1MkLet3Fz5WQXp0VTXxatx1rgusZHjjEuSxV7BljrjsUITyqO3DYPPuKO5KpTZUhdZKCUTBNPs+WxW8d/ejiDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T17:32:27.122893Z","bundle_sha256":"ea5a56bd0451b833f9e1d826c13937c4d8bddbf7f7417695d4296190e1c15518"}}