{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:FEULDYN3VZC7X3PROLCLDQK4HG","short_pith_number":"pith:FEULDYN3","schema_version":"1.0","canonical_sha256":"2928b1e1bbae45fbedf172c4b1c15c39adee56dce428902aa7f525756be44441","source":{"kind":"arxiv","id":"1512.01579","version":3},"attestation_state":"computed","paper":{"title":"Patterns in Calabi-Yau Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Luca Pontiggia, Vishnu Jejjala, Yang-Hui He","submitted_at":"2015-12-02T21:08:33Z","abstract_excerpt":"We explore the distribution of topological numbers in Calabi-Yau manifolds, using the Kreuzer-Skarke dataset of hypersurfaces in toric varieties as a testing ground. While the Hodge numbers are well-known to exhibit mirror symmetry, patterns in frequencies of combination thereof exhibit striking new patterns. We find pseudo-Voigt and Planckian distributions with high confidence and exact fit for many substructures. The patterns indicate typicality within the landscape of Calabi-Yau manifolds of various dimension."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1512.01579","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-02T21:08:33Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"bfd7ecd160517321257665c65d7b121d63392e2d3736c908c6bd355c7618dd08","abstract_canon_sha256":"73e10108dbc6fe913e6ca551d9379709f6cabe1e85ac012b867050f19fa76ad6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:42.157210Z","signature_b64":"1rxSITVrHGwFRzMfwSb7Ws7UQNhrxvckA3LoNfxP0YjvFh70/loyjMsCgAm8kkXrxZ4IqnilHGi9VaT7QyQvDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2928b1e1bbae45fbedf172c4b1c15c39adee56dce428902aa7f525756be44441","last_reissued_at":"2026-05-18T00:41:42.156638Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:42.156638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Patterns in Calabi-Yau Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Luca Pontiggia, Vishnu Jejjala, Yang-Hui He","submitted_at":"2015-12-02T21:08:33Z","abstract_excerpt":"We explore the distribution of topological numbers in Calabi-Yau manifolds, using the Kreuzer-Skarke dataset of hypersurfaces in toric varieties as a testing ground. While the Hodge numbers are well-known to exhibit mirror symmetry, patterns in frequencies of combination thereof exhibit striking new patterns. We find pseudo-Voigt and Planckian distributions with high confidence and exact fit for many substructures. The patterns indicate typicality within the landscape of Calabi-Yau manifolds of various dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01579","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1512.01579","created_at":"2026-05-18T00:41:42.156719+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.01579v3","created_at":"2026-05-18T00:41:42.156719+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01579","created_at":"2026-05-18T00:41:42.156719+00:00"},{"alias_kind":"pith_short_12","alias_value":"FEULDYN3VZC7","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_16","alias_value":"FEULDYN3VZC7X3PR","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_8","alias_value":"FEULDYN3","created_at":"2026-05-18T12:29:19.899920+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FEULDYN3VZC7X3PROLCLDQK4HG","json":"https://pith.science/pith/FEULDYN3VZC7X3PROLCLDQK4HG.json","graph_json":"https://pith.science/api/pith-number/FEULDYN3VZC7X3PROLCLDQK4HG/graph.json","events_json":"https://pith.science/api/pith-number/FEULDYN3VZC7X3PROLCLDQK4HG/events.json","paper":"https://pith.science/paper/FEULDYN3"},"agent_actions":{"view_html":"https://pith.science/pith/FEULDYN3VZC7X3PROLCLDQK4HG","download_json":"https://pith.science/pith/FEULDYN3VZC7X3PROLCLDQK4HG.json","view_paper":"https://pith.science/paper/FEULDYN3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.01579&json=true","fetch_graph":"https://pith.science/api/pith-number/FEULDYN3VZC7X3PROLCLDQK4HG/graph.json","fetch_events":"https://pith.science/api/pith-number/FEULDYN3VZC7X3PROLCLDQK4HG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FEULDYN3VZC7X3PROLCLDQK4HG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FEULDYN3VZC7X3PROLCLDQK4HG/action/storage_attestation","attest_author":"https://pith.science/pith/FEULDYN3VZC7X3PROLCLDQK4HG/action/author_attestation","sign_citation":"https://pith.science/pith/FEULDYN3VZC7X3PROLCLDQK4HG/action/citation_signature","submit_replication":"https://pith.science/pith/FEULDYN3VZC7X3PROLCLDQK4HG/action/replication_record"}},"created_at":"2026-05-18T00:41:42.156719+00:00","updated_at":"2026-05-18T00:41:42.156719+00:00"}