{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:2II3XMO34OY2JTKVC2WZOF3IHB","short_pith_number":"pith:2II3XMO3","schema_version":"1.0","canonical_sha256":"d211bbb1dbe3b1a4cd5516ad9717683858191bf76e3834b3e09ba1427a9bded9","source":{"kind":"arxiv","id":"1905.10197","version":1},"attestation_state":"computed","paper":{"title":"Some Results on Seshadri constants on Surfaces of general type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Praveen Kumar Roy","submitted_at":"2019-05-24T12:44:46Z","abstract_excerpt":"We prove two new results for Seshadri constants on surfaces of general type. Let $X$ be a surface of general type. In the first part, inspired by \\cite{B-S}, we list the possible values for the multi-point Seshadri constant $\\varepsilon(K_X,x_1,x_2,...,x_r)$ when it lies between $0$ and $1/r$, where $K_X$ is the canonical line bundle on $X$. In the second part, we assume $X$ of the form $C \\times C$, where $C$ is a general smooth curve of genus $g \\geq 2$. Given such $X$ and an ample line bundle $L$ on $X$ with some conditions on it, we show that the global Seshadri constant of $L$ is a ration"},"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":"1905.10197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-24T12:44:46Z","cross_cats_sorted":[],"title_canon_sha256":"4d1127c91f54af662bcaf8d9723fde1ef6a88b24b3dad48fc1a58c64b222b47e","abstract_canon_sha256":"f58691f0df6866dc9372e9c8724903a1b61f91736ad6d491479281dadb535953"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:10.984684Z","signature_b64":"p0inIM3szBnIWWUol+V3zFShrgb/cNcZz7Eyw884CPNO3S45WeVaXrIDJJxeZG2JfLdmZmHbk+mraV8VIrxlCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d211bbb1dbe3b1a4cd5516ad9717683858191bf76e3834b3e09ba1427a9bded9","last_reissued_at":"2026-05-17T23:45:10.984129Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:10.984129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some Results on Seshadri constants on Surfaces of general type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Praveen Kumar Roy","submitted_at":"2019-05-24T12:44:46Z","abstract_excerpt":"We prove two new results for Seshadri constants on surfaces of general type. Let $X$ be a surface of general type. In the first part, inspired by \\cite{B-S}, we list the possible values for the multi-point Seshadri constant $\\varepsilon(K_X,x_1,x_2,...,x_r)$ when it lies between $0$ and $1/r$, where $K_X$ is the canonical line bundle on $X$. In the second part, we assume $X$ of the form $C \\times C$, where $C$ is a general smooth curve of genus $g \\geq 2$. Given such $X$ and an ample line bundle $L$ on $X$ with some conditions on it, we show that the global Seshadri constant of $L$ is a ration"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10197","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":"1905.10197","created_at":"2026-05-17T23:45:10.984222+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.10197v1","created_at":"2026-05-17T23:45:10.984222+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10197","created_at":"2026-05-17T23:45:10.984222+00:00"},{"alias_kind":"pith_short_12","alias_value":"2II3XMO34OY2","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"2II3XMO34OY2JTKV","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"2II3XMO3","created_at":"2026-05-18T12:33:07.085635+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/2II3XMO34OY2JTKVC2WZOF3IHB","json":"https://pith.science/pith/2II3XMO34OY2JTKVC2WZOF3IHB.json","graph_json":"https://pith.science/api/pith-number/2II3XMO34OY2JTKVC2WZOF3IHB/graph.json","events_json":"https://pith.science/api/pith-number/2II3XMO34OY2JTKVC2WZOF3IHB/events.json","paper":"https://pith.science/paper/2II3XMO3"},"agent_actions":{"view_html":"https://pith.science/pith/2II3XMO34OY2JTKVC2WZOF3IHB","download_json":"https://pith.science/pith/2II3XMO34OY2JTKVC2WZOF3IHB.json","view_paper":"https://pith.science/paper/2II3XMO3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.10197&json=true","fetch_graph":"https://pith.science/api/pith-number/2II3XMO34OY2JTKVC2WZOF3IHB/graph.json","fetch_events":"https://pith.science/api/pith-number/2II3XMO34OY2JTKVC2WZOF3IHB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2II3XMO34OY2JTKVC2WZOF3IHB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2II3XMO34OY2JTKVC2WZOF3IHB/action/storage_attestation","attest_author":"https://pith.science/pith/2II3XMO34OY2JTKVC2WZOF3IHB/action/author_attestation","sign_citation":"https://pith.science/pith/2II3XMO34OY2JTKVC2WZOF3IHB/action/citation_signature","submit_replication":"https://pith.science/pith/2II3XMO34OY2JTKVC2WZOF3IHB/action/replication_record"}},"created_at":"2026-05-17T23:45:10.984222+00:00","updated_at":"2026-05-17T23:45:10.984222+00:00"}