{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:QWO5L2WQZPTTBQY7WC2NBWK7IH","short_pith_number":"pith:QWO5L2WQ","schema_version":"1.0","canonical_sha256":"859dd5ead0cbe730c31fb0b4d0d95f41da05e3389d325743fd4bb43c34646d2b","source":{"kind":"arxiv","id":"1305.0864","version":1},"attestation_state":"computed","paper":{"title":"Geometric properties of upper level sets of Lelong numbers on projective spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Dan Coman, Tuyen Trung Truong","submitted_at":"2013-05-04T01:34:32Z","abstract_excerpt":"Let $T$ be a positive closed current of unit mass on the complex projective space $\\mathbb P^n$. For certain values $\\alpha<1$, we prove geometric properties of the set of points in $\\mathbb P^n$ where the Lelong number of $T$ exceeds $\\alpha$. We also consider the case of positive closed currents of bidimension (1,1) on multiprojective spaces."},"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":"1305.0864","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-04T01:34:32Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"a1efa8cbca6445bfcd9bdd21ca3d56c3a72fdc89ac7fb8b3cadd30b41f30f857","abstract_canon_sha256":"fe95ff15a2a1bec378698764e45aac7926c0ba78b7ade639c632d06ff930dd47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:31.475793Z","signature_b64":"QlxfMvyaZ/Fr0rvDe146r52zQnfZH0+cCbifGSJpETKvT/Jl8dxSFVzS6NEZ4YnSdJTBYZOcLlWLmlOLM01FDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"859dd5ead0cbe730c31fb0b4d0d95f41da05e3389d325743fd4bb43c34646d2b","last_reissued_at":"2026-05-18T03:26:31.474984Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:31.474984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric properties of upper level sets of Lelong numbers on projective spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Dan Coman, Tuyen Trung Truong","submitted_at":"2013-05-04T01:34:32Z","abstract_excerpt":"Let $T$ be a positive closed current of unit mass on the complex projective space $\\mathbb P^n$. For certain values $\\alpha<1$, we prove geometric properties of the set of points in $\\mathbb P^n$ where the Lelong number of $T$ exceeds $\\alpha$. We also consider the case of positive closed currents of bidimension (1,1) on multiprojective spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0864","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":"1305.0864","created_at":"2026-05-18T03:26:31.475120+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.0864v1","created_at":"2026-05-18T03:26:31.475120+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0864","created_at":"2026-05-18T03:26:31.475120+00:00"},{"alias_kind":"pith_short_12","alias_value":"QWO5L2WQZPTT","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"QWO5L2WQZPTTBQY7","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"QWO5L2WQ","created_at":"2026-05-18T12:27:57.521954+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/QWO5L2WQZPTTBQY7WC2NBWK7IH","json":"https://pith.science/pith/QWO5L2WQZPTTBQY7WC2NBWK7IH.json","graph_json":"https://pith.science/api/pith-number/QWO5L2WQZPTTBQY7WC2NBWK7IH/graph.json","events_json":"https://pith.science/api/pith-number/QWO5L2WQZPTTBQY7WC2NBWK7IH/events.json","paper":"https://pith.science/paper/QWO5L2WQ"},"agent_actions":{"view_html":"https://pith.science/pith/QWO5L2WQZPTTBQY7WC2NBWK7IH","download_json":"https://pith.science/pith/QWO5L2WQZPTTBQY7WC2NBWK7IH.json","view_paper":"https://pith.science/paper/QWO5L2WQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.0864&json=true","fetch_graph":"https://pith.science/api/pith-number/QWO5L2WQZPTTBQY7WC2NBWK7IH/graph.json","fetch_events":"https://pith.science/api/pith-number/QWO5L2WQZPTTBQY7WC2NBWK7IH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QWO5L2WQZPTTBQY7WC2NBWK7IH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QWO5L2WQZPTTBQY7WC2NBWK7IH/action/storage_attestation","attest_author":"https://pith.science/pith/QWO5L2WQZPTTBQY7WC2NBWK7IH/action/author_attestation","sign_citation":"https://pith.science/pith/QWO5L2WQZPTTBQY7WC2NBWK7IH/action/citation_signature","submit_replication":"https://pith.science/pith/QWO5L2WQZPTTBQY7WC2NBWK7IH/action/replication_record"}},"created_at":"2026-05-18T03:26:31.475120+00:00","updated_at":"2026-05-18T03:26:31.475120+00:00"}