{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EO4RMN76NIKNMOHIP4KAUZVCMR","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":"2600b33f6878b9f13b4529a3d9cc1ede04cdf5cfc699f2b4377a64379c309230","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-12-01T11:05:02Z","title_canon_sha256":"388b68ba8f1fda7809d0394dac66e92d36be1afe8bf158d88e9e9fe4facac2e7"},"schema_version":"1.0","source":{"id":"1012.0156","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0156","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0156v2","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0156","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"EO4RMN76NIKN","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EO4RMN76NIKNMOHI","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EO4RMN76","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:38debe56f17fe22c3919e1f1b4b66e35e9bf67aaa015e2321af38b4427d194e3","target":"graph","created_at":"2026-05-18T01:18:10Z","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":"In this article we study the families of $K3$ surfaces derived from 3 dimensional 5 verticed reflexive polytopes with at most terminal singularity. We determine the lattice structures, the period differential equations and the projective monodromy groups for these families.","authors_text":"Atsuhira Nagano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-12-01T11:05:02Z","title":"Period differential equations for families of $K3$ surfaces derived from 3 dimensional reflexive polytopes with 5 vertices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0156","kind":"arxiv","version":2},"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":"sha256:6dd66db079505ddea7c068e0140edeecf07f1a25c2a09ef4444f03b880147eaf","target":"record","created_at":"2026-05-18T01:18:10Z","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":"2600b33f6878b9f13b4529a3d9cc1ede04cdf5cfc699f2b4377a64379c309230","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-12-01T11:05:02Z","title_canon_sha256":"388b68ba8f1fda7809d0394dac66e92d36be1afe8bf158d88e9e9fe4facac2e7"},"schema_version":"1.0","source":{"id":"1012.0156","kind":"arxiv","version":2}},"canonical_sha256":"23b91637fe6a14d638e87f140a66a264440957586a96bb79a18688ce9c691fe8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23b91637fe6a14d638e87f140a66a264440957586a96bb79a18688ce9c691fe8","first_computed_at":"2026-05-18T01:18:10.514161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:10.514161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XH2jQiYjGJOSIZz2jevPiNFDucC0pEnkoAso76MqIMdi5TOp91cXVW3noOlYWWC26OTOS8Nyuvnei6hUSsF+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:10.514728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0156","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6dd66db079505ddea7c068e0140edeecf07f1a25c2a09ef4444f03b880147eaf","sha256:38debe56f17fe22c3919e1f1b4b66e35e9bf67aaa015e2321af38b4427d194e3"],"state_sha256":"13914278c3589cddfec9f479e6692f2de408dfac425c141281ea6a00922dbbab"}