{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:73NEDYHCMJB7E4VWLOIWI6RJLM","short_pith_number":"pith:73NEDYHC","schema_version":"1.0","canonical_sha256":"feda41e0e26243f272b65b91647a295b3ef1d370bfba071b6927a165d5cb5408","source":{"kind":"arxiv","id":"0805.3689","version":2},"attestation_state":"computed","paper":{"title":"Eigenvalues and Eigenfunctions of the Scalar Laplace Operator on Calabi-Yau Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Burt A. Ovrut, Michael R. Douglas, Tamaz Brelidze, Volker Braun","submitted_at":"2008-05-23T19:41:18Z","abstract_excerpt":"A numerical algorithm for explicitly computing the spectrum of the Laplace-Beltrami operator on Calabi-Yau threefolds is presented. The requisite Ricci-flat metrics are calculated using a method introduced in previous papers. To illustrate our algorithm, the eigenvalues and eigenfunctions of the Laplacian are computed numerically on two different quintic hypersurfaces, some Z_5 x Z_5 quotients of quintics, and the Calabi-Yau threefold with Z_3 x Z_3 fundamental group of the heterotic standard model. The multiplicities of the eigenvalues are explained in detail in terms of the irreducible repre"},"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":"0805.3689","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-05-23T19:41:18Z","cross_cats_sorted":[],"title_canon_sha256":"0210b88b0c9c4109e8feee5a560b61c8c0e49c425821b5c9594ed97c17f53e92","abstract_canon_sha256":"2796c317201e8591945bc69c9e07820f4a66919706a8f57a94c66c800ba0e3a7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:22.293787Z","signature_b64":"pD9cIZCEToAKRSBsJIQABVpUx3V7bCsG8XDYtu9Rz81ltOsNnhpWQjQA53J8Bpfpg6BebB2Kb4PS7JOQy78tAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"feda41e0e26243f272b65b91647a295b3ef1d370bfba071b6927a165d5cb5408","last_reissued_at":"2026-05-18T02:35:22.293360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:22.293360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Eigenvalues and Eigenfunctions of the Scalar Laplace Operator on Calabi-Yau Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Burt A. Ovrut, Michael R. Douglas, Tamaz Brelidze, Volker Braun","submitted_at":"2008-05-23T19:41:18Z","abstract_excerpt":"A numerical algorithm for explicitly computing the spectrum of the Laplace-Beltrami operator on Calabi-Yau threefolds is presented. The requisite Ricci-flat metrics are calculated using a method introduced in previous papers. To illustrate our algorithm, the eigenvalues and eigenfunctions of the Laplacian are computed numerically on two different quintic hypersurfaces, some Z_5 x Z_5 quotients of quintics, and the Calabi-Yau threefold with Z_3 x Z_3 fundamental group of the heterotic standard model. The multiplicities of the eigenvalues are explained in detail in terms of the irreducible repre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.3689","kind":"arxiv","version":2},"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":"0805.3689","created_at":"2026-05-18T02:35:22.293425+00:00"},{"alias_kind":"arxiv_version","alias_value":"0805.3689v2","created_at":"2026-05-18T02:35:22.293425+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.3689","created_at":"2026-05-18T02:35:22.293425+00:00"},{"alias_kind":"pith_short_12","alias_value":"73NEDYHCMJB7","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"73NEDYHCMJB7E4VW","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"73NEDYHC","created_at":"2026-05-18T12:25:56.245647+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/73NEDYHCMJB7E4VWLOIWI6RJLM","json":"https://pith.science/pith/73NEDYHCMJB7E4VWLOIWI6RJLM.json","graph_json":"https://pith.science/api/pith-number/73NEDYHCMJB7E4VWLOIWI6RJLM/graph.json","events_json":"https://pith.science/api/pith-number/73NEDYHCMJB7E4VWLOIWI6RJLM/events.json","paper":"https://pith.science/paper/73NEDYHC"},"agent_actions":{"view_html":"https://pith.science/pith/73NEDYHCMJB7E4VWLOIWI6RJLM","download_json":"https://pith.science/pith/73NEDYHCMJB7E4VWLOIWI6RJLM.json","view_paper":"https://pith.science/paper/73NEDYHC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0805.3689&json=true","fetch_graph":"https://pith.science/api/pith-number/73NEDYHCMJB7E4VWLOIWI6RJLM/graph.json","fetch_events":"https://pith.science/api/pith-number/73NEDYHCMJB7E4VWLOIWI6RJLM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/73NEDYHCMJB7E4VWLOIWI6RJLM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/73NEDYHCMJB7E4VWLOIWI6RJLM/action/storage_attestation","attest_author":"https://pith.science/pith/73NEDYHCMJB7E4VWLOIWI6RJLM/action/author_attestation","sign_citation":"https://pith.science/pith/73NEDYHCMJB7E4VWLOIWI6RJLM/action/citation_signature","submit_replication":"https://pith.science/pith/73NEDYHCMJB7E4VWLOIWI6RJLM/action/replication_record"}},"created_at":"2026-05-18T02:35:22.293425+00:00","updated_at":"2026-05-18T02:35:22.293425+00:00"}