{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:OVPMCD3RUKV74EPG7RJPZVGBGV","short_pith_number":"pith:OVPMCD3R","schema_version":"1.0","canonical_sha256":"755ec10f71a2abfe11e6fc52fcd4c13543f9bf019a7a4531c0bf6d7ad6cfd0c0","source":{"kind":"arxiv","id":"1311.0887","version":1},"attestation_state":"computed","paper":{"title":"A note on generalized Dirac eigenvalues for split holonomy and torsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Hwajeong Kim, Ilka Agricola","submitted_at":"2013-11-04T21:02:25Z","abstract_excerpt":"We study the Dirac spectrum on compact Riemannian spin manifolds $M$ equipped with a metric connection $\\nabla$ with skew torsion $T\\in\\Lambda^3 M$ in the situation where the tangent bundle splits under the holonomy of $\\nabla$ and the torsion of $\\nabla$ is of `split' type. We prove an optimal lower bound for the first eigenvalue of the Dirac operator with torsion that generalizes Friedrich's classical Riemannian estimate."},"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":"1311.0887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-04T21:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"81b1939563072a81e492192443a9cf26071b53029bd905c244ca0de068345472","abstract_canon_sha256":"c70e6dab0be0e85451c87fa46a101ac899460dd944c05e05f713616f11a01d6a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:56.193743Z","signature_b64":"6q2RCAz+04QzqZwiWrD67PnNa/yTG6qcJh/5GU7/cbhPn92Tyi04nyZZPL9Ctf8LMI4I0k2kbDkhKaX/BrItBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"755ec10f71a2abfe11e6fc52fcd4c13543f9bf019a7a4531c0bf6d7ad6cfd0c0","last_reissued_at":"2026-05-18T03:07:56.193151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:56.193151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on generalized Dirac eigenvalues for split holonomy and torsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Hwajeong Kim, Ilka Agricola","submitted_at":"2013-11-04T21:02:25Z","abstract_excerpt":"We study the Dirac spectrum on compact Riemannian spin manifolds $M$ equipped with a metric connection $\\nabla$ with skew torsion $T\\in\\Lambda^3 M$ in the situation where the tangent bundle splits under the holonomy of $\\nabla$ and the torsion of $\\nabla$ is of `split' type. We prove an optimal lower bound for the first eigenvalue of the Dirac operator with torsion that generalizes Friedrich's classical Riemannian estimate."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0887","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":""},"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":"1311.0887","created_at":"2026-05-18T03:07:56.193230+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.0887v1","created_at":"2026-05-18T03:07:56.193230+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0887","created_at":"2026-05-18T03:07:56.193230+00:00"},{"alias_kind":"pith_short_12","alias_value":"OVPMCD3RUKV7","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"OVPMCD3RUKV74EPG","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"OVPMCD3R","created_at":"2026-05-18T12:27:54.935989+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/OVPMCD3RUKV74EPG7RJPZVGBGV","json":"https://pith.science/pith/OVPMCD3RUKV74EPG7RJPZVGBGV.json","graph_json":"https://pith.science/api/pith-number/OVPMCD3RUKV74EPG7RJPZVGBGV/graph.json","events_json":"https://pith.science/api/pith-number/OVPMCD3RUKV74EPG7RJPZVGBGV/events.json","paper":"https://pith.science/paper/OVPMCD3R"},"agent_actions":{"view_html":"https://pith.science/pith/OVPMCD3RUKV74EPG7RJPZVGBGV","download_json":"https://pith.science/pith/OVPMCD3RUKV74EPG7RJPZVGBGV.json","view_paper":"https://pith.science/paper/OVPMCD3R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.0887&json=true","fetch_graph":"https://pith.science/api/pith-number/OVPMCD3RUKV74EPG7RJPZVGBGV/graph.json","fetch_events":"https://pith.science/api/pith-number/OVPMCD3RUKV74EPG7RJPZVGBGV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OVPMCD3RUKV74EPG7RJPZVGBGV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OVPMCD3RUKV74EPG7RJPZVGBGV/action/storage_attestation","attest_author":"https://pith.science/pith/OVPMCD3RUKV74EPG7RJPZVGBGV/action/author_attestation","sign_citation":"https://pith.science/pith/OVPMCD3RUKV74EPG7RJPZVGBGV/action/citation_signature","submit_replication":"https://pith.science/pith/OVPMCD3RUKV74EPG7RJPZVGBGV/action/replication_record"}},"created_at":"2026-05-18T03:07:56.193230+00:00","updated_at":"2026-05-18T03:07:56.193230+00:00"}