{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:VDGP5TUWHAOQLVZBE2LAF7ZEBV","short_pith_number":"pith:VDGP5TUW","schema_version":"1.0","canonical_sha256":"a8ccfece96381d05d721269602ff240d784600c1918bcc7c2b9175ddaae07d1d","source":{"kind":"arxiv","id":"2602.07834","version":2},"attestation_state":"computed","paper":{"title":"Interpretable Analytic Calabi-Yau Metrics via Symbolic Distillation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"cs.LG","authors_text":"D Yang Eng","submitted_at":"2026-02-08T05:51:35Z","abstract_excerpt":"The pointwise determinant ratio \\[ R_\\psi(z)\\equiv \\log\\!\\left(\\frac{\\det g_{\\mathrm{RF}}(z;\\psi)}{\\det g_{\\mathrm{FS}}(z)}\\right) \\] measures how the Ricci-flat metric on the Dwork quintic departs from the Fubini--Study baseline. We ask whether this scalar observable can be described compactly in terms of a small number of projective invariants, and whether the same scaffold remains usable across complex-structure moduli. Using Donaldson's $k=10$ balanced metric as an algebraic teacher and symbolic regression on sampled points, we find that, within the restricted moduli-only feature class stu"},"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":"2602.07834","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-02-08T05:51:35Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"1013b44de77fa5ef0068ff27e228b4d2d1d5c4acc3335c04726b414d841a851b","abstract_canon_sha256":"a31d8d68888fec717a0af138d27d6bd381db4678ea3b20148f8ffc2fd75bcee9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T01:15:19.936366Z","signature_b64":"hSC+UMFysb+Rc91nFw9bvzdP7wn/z/zv+B9Fl6I0MY2OFFqtn01K/7BSzxduOc0TTAgjRLgi32UvVRsKsNFxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8ccfece96381d05d721269602ff240d784600c1918bcc7c2b9175ddaae07d1d","last_reissued_at":"2026-06-05T01:15:19.935908Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T01:15:19.935908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interpretable Analytic Calabi-Yau Metrics via Symbolic Distillation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"cs.LG","authors_text":"D Yang Eng","submitted_at":"2026-02-08T05:51:35Z","abstract_excerpt":"The pointwise determinant ratio \\[ R_\\psi(z)\\equiv \\log\\!\\left(\\frac{\\det g_{\\mathrm{RF}}(z;\\psi)}{\\det g_{\\mathrm{FS}}(z)}\\right) \\] measures how the Ricci-flat metric on the Dwork quintic departs from the Fubini--Study baseline. We ask whether this scalar observable can be described compactly in terms of a small number of projective invariants, and whether the same scaffold remains usable across complex-structure moduli. Using Donaldson's $k=10$ balanced metric as an algebraic teacher and symbolic regression on sampled points, we find that, within the restricted moduli-only feature class stu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.07834","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.07834/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2602.07834","created_at":"2026-06-05T01:15:19.935960+00:00"},{"alias_kind":"arxiv_version","alias_value":"2602.07834v2","created_at":"2026-06-05T01:15:19.935960+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.07834","created_at":"2026-06-05T01:15:19.935960+00:00"},{"alias_kind":"pith_short_12","alias_value":"VDGP5TUWHAOQ","created_at":"2026-06-05T01:15:19.935960+00:00"},{"alias_kind":"pith_short_16","alias_value":"VDGP5TUWHAOQLVZB","created_at":"2026-06-05T01:15:19.935960+00:00"},{"alias_kind":"pith_short_8","alias_value":"VDGP5TUW","created_at":"2026-06-05T01:15:19.935960+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.11404","citing_title":"GlobalCY I: A JAX Framework for Globally Defined and Symmetry-Aware Neural K\\\"ahler Potentials","ref_index":17,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VDGP5TUWHAOQLVZBE2LAF7ZEBV","json":"https://pith.science/pith/VDGP5TUWHAOQLVZBE2LAF7ZEBV.json","graph_json":"https://pith.science/api/pith-number/VDGP5TUWHAOQLVZBE2LAF7ZEBV/graph.json","events_json":"https://pith.science/api/pith-number/VDGP5TUWHAOQLVZBE2LAF7ZEBV/events.json","paper":"https://pith.science/paper/VDGP5TUW"},"agent_actions":{"view_html":"https://pith.science/pith/VDGP5TUWHAOQLVZBE2LAF7ZEBV","download_json":"https://pith.science/pith/VDGP5TUWHAOQLVZBE2LAF7ZEBV.json","view_paper":"https://pith.science/paper/VDGP5TUW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2602.07834&json=true","fetch_graph":"https://pith.science/api/pith-number/VDGP5TUWHAOQLVZBE2LAF7ZEBV/graph.json","fetch_events":"https://pith.science/api/pith-number/VDGP5TUWHAOQLVZBE2LAF7ZEBV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VDGP5TUWHAOQLVZBE2LAF7ZEBV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VDGP5TUWHAOQLVZBE2LAF7ZEBV/action/storage_attestation","attest_author":"https://pith.science/pith/VDGP5TUWHAOQLVZBE2LAF7ZEBV/action/author_attestation","sign_citation":"https://pith.science/pith/VDGP5TUWHAOQLVZBE2LAF7ZEBV/action/citation_signature","submit_replication":"https://pith.science/pith/VDGP5TUWHAOQLVZBE2LAF7ZEBV/action/replication_record"}},"created_at":"2026-06-05T01:15:19.935960+00:00","updated_at":"2026-06-05T01:15:19.935960+00:00"}