{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:62DH3UMYAPRY3IQZTSDR5FJ6O7","short_pith_number":"pith:62DH3UMY","schema_version":"1.0","canonical_sha256":"f6867dd19803e38da2199c871e953e77f8bfa7d84d9b3e82c1c31a187d116286","source":{"kind":"arxiv","id":"1504.01021","version":2},"attestation_state":"computed","paper":{"title":"The $L^2$ Volume of the Space of Holomorphic Maps from K\\\"ahler Riemann Surfaces to $\\mathbb{CP}^k$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Chih-Chung Liu","submitted_at":"2015-04-04T16:49:22Z","abstract_excerpt":"We prove the conjectural formula for the $L^2$ volume of the space of degree $r$ holomorphic maps from a compact K\\\"ahler Riemann surface of genus $b$ to $\\pk$. This formula was posed in \\cite{Ba} and rigorously verified in \\cite{Sp} for a special case using independent techniques."},"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":"1504.01021","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-04T16:49:22Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"5c9c75ae953480d1fba8d80165e336a0ac8b37efb5a4768f434954f42317b810","abstract_canon_sha256":"481165c356fca0ad817a0279f7aff1af2bbdf966f179f1e0395e31810f10374e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:54.040341Z","signature_b64":"7tUsNe8d89hMT3VZ5nyyrx1SFQ9O5fq6hkJ6DZcg/VRg9U4nxnqq85nssHMwRB6Zzn2xaDxOZkl2SwAMLJi4CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6867dd19803e38da2199c871e953e77f8bfa7d84d9b3e82c1c31a187d116286","last_reissued_at":"2026-05-18T02:09:54.039749Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:54.039749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The $L^2$ Volume of the Space of Holomorphic Maps from K\\\"ahler Riemann Surfaces to $\\mathbb{CP}^k$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Chih-Chung Liu","submitted_at":"2015-04-04T16:49:22Z","abstract_excerpt":"We prove the conjectural formula for the $L^2$ volume of the space of degree $r$ holomorphic maps from a compact K\\\"ahler Riemann surface of genus $b$ to $\\pk$. This formula was posed in \\cite{Ba} and rigorously verified in \\cite{Sp} for a special case using independent techniques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01021","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":"1504.01021","created_at":"2026-05-18T02:09:54.039816+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.01021v2","created_at":"2026-05-18T02:09:54.039816+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01021","created_at":"2026-05-18T02:09:54.039816+00:00"},{"alias_kind":"pith_short_12","alias_value":"62DH3UMYAPRY","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"62DH3UMYAPRY3IQZ","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"62DH3UMY","created_at":"2026-05-18T12:29:07.941421+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/62DH3UMYAPRY3IQZTSDR5FJ6O7","json":"https://pith.science/pith/62DH3UMYAPRY3IQZTSDR5FJ6O7.json","graph_json":"https://pith.science/api/pith-number/62DH3UMYAPRY3IQZTSDR5FJ6O7/graph.json","events_json":"https://pith.science/api/pith-number/62DH3UMYAPRY3IQZTSDR5FJ6O7/events.json","paper":"https://pith.science/paper/62DH3UMY"},"agent_actions":{"view_html":"https://pith.science/pith/62DH3UMYAPRY3IQZTSDR5FJ6O7","download_json":"https://pith.science/pith/62DH3UMYAPRY3IQZTSDR5FJ6O7.json","view_paper":"https://pith.science/paper/62DH3UMY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.01021&json=true","fetch_graph":"https://pith.science/api/pith-number/62DH3UMYAPRY3IQZTSDR5FJ6O7/graph.json","fetch_events":"https://pith.science/api/pith-number/62DH3UMYAPRY3IQZTSDR5FJ6O7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/62DH3UMYAPRY3IQZTSDR5FJ6O7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/62DH3UMYAPRY3IQZTSDR5FJ6O7/action/storage_attestation","attest_author":"https://pith.science/pith/62DH3UMYAPRY3IQZTSDR5FJ6O7/action/author_attestation","sign_citation":"https://pith.science/pith/62DH3UMYAPRY3IQZTSDR5FJ6O7/action/citation_signature","submit_replication":"https://pith.science/pith/62DH3UMYAPRY3IQZTSDR5FJ6O7/action/replication_record"}},"created_at":"2026-05-18T02:09:54.039816+00:00","updated_at":"2026-05-18T02:09:54.039816+00:00"}