{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:SM6SRWLXMZTLIPLF3OCYUB5X7L","short_pith_number":"pith:SM6SRWLX","schema_version":"1.0","canonical_sha256":"933d28d9776666b43d65db858a07b7fade4e94c9cb5dc842d79137f91dd22f96","source":{"kind":"arxiv","id":"0802.2792","version":1},"attestation_state":"computed","paper":{"title":"Two dimensional Berezin-Li-Yau inequalities with a correction term","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Hynek Kovarik, Semjon Vugalter, Timo Weidl","submitted_at":"2008-02-20T16:21:39Z","abstract_excerpt":"We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the correction term is almost optimal. This improves a previous result by Melas."},"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":"0802.2792","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2008-02-20T16:21:39Z","cross_cats_sorted":[],"title_canon_sha256":"eb7577050bd2dd75bb184502a033431f4955a8346c698fff58308eb7882a702e","abstract_canon_sha256":"1cef55f8cd310f96d2f1476cb8580da0e658e676d22871afe32c4b16d0ef1b05"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:32.981872Z","signature_b64":"+WzTDJFLau1YvUnXDeMypbl/QNY8gNqfQK9B8crFwvbTecXhY3KGNiLRWmbp/rW2uxfKRGHTxMcUPLUElwpWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"933d28d9776666b43d65db858a07b7fade4e94c9cb5dc842d79137f91dd22f96","last_reissued_at":"2026-05-18T04:40:32.981085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:32.981085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two dimensional Berezin-Li-Yau inequalities with a correction term","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Hynek Kovarik, Semjon Vugalter, Timo Weidl","submitted_at":"2008-02-20T16:21:39Z","abstract_excerpt":"We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the correction term is almost optimal. This improves a previous result by Melas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2792","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":"0802.2792","created_at":"2026-05-18T04:40:32.981212+00:00"},{"alias_kind":"arxiv_version","alias_value":"0802.2792v1","created_at":"2026-05-18T04:40:32.981212+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2792","created_at":"2026-05-18T04:40:32.981212+00:00"},{"alias_kind":"pith_short_12","alias_value":"SM6SRWLXMZTL","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"SM6SRWLXMZTLIPLF","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"SM6SRWLX","created_at":"2026-05-18T12:25:58.018023+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/SM6SRWLXMZTLIPLF3OCYUB5X7L","json":"https://pith.science/pith/SM6SRWLXMZTLIPLF3OCYUB5X7L.json","graph_json":"https://pith.science/api/pith-number/SM6SRWLXMZTLIPLF3OCYUB5X7L/graph.json","events_json":"https://pith.science/api/pith-number/SM6SRWLXMZTLIPLF3OCYUB5X7L/events.json","paper":"https://pith.science/paper/SM6SRWLX"},"agent_actions":{"view_html":"https://pith.science/pith/SM6SRWLXMZTLIPLF3OCYUB5X7L","download_json":"https://pith.science/pith/SM6SRWLXMZTLIPLF3OCYUB5X7L.json","view_paper":"https://pith.science/paper/SM6SRWLX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0802.2792&json=true","fetch_graph":"https://pith.science/api/pith-number/SM6SRWLXMZTLIPLF3OCYUB5X7L/graph.json","fetch_events":"https://pith.science/api/pith-number/SM6SRWLXMZTLIPLF3OCYUB5X7L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SM6SRWLXMZTLIPLF3OCYUB5X7L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SM6SRWLXMZTLIPLF3OCYUB5X7L/action/storage_attestation","attest_author":"https://pith.science/pith/SM6SRWLXMZTLIPLF3OCYUB5X7L/action/author_attestation","sign_citation":"https://pith.science/pith/SM6SRWLXMZTLIPLF3OCYUB5X7L/action/citation_signature","submit_replication":"https://pith.science/pith/SM6SRWLXMZTLIPLF3OCYUB5X7L/action/replication_record"}},"created_at":"2026-05-18T04:40:32.981212+00:00","updated_at":"2026-05-18T04:40:32.981212+00:00"}