{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:IQN6LOJVGGELKMUBNXE2MMSFY4","short_pith_number":"pith:IQN6LOJV","schema_version":"1.0","canonical_sha256":"441be5b9353188b532816dc9a63245c72ae3ee6daebc4ccb3ee804a4f61ab257","source":{"kind":"arxiv","id":"1307.1999","version":2},"attestation_state":"computed","paper":{"title":"Geography of Gorenstein stable log surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"S\\\"onke Rollenske, Wenfei Liu","submitted_at":"2013-07-08T09:25:31Z","abstract_excerpt":"We study the geography of Gorenstein stable log surfaces and prove two inequalities for their invariants: the stable Noether inequality and the $P_2$-inequality.\n  By constructing examples we show that all invariants are realised except possibly some cases where the inequalities become equalities."},"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":"1307.1999","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-08T09:25:31Z","cross_cats_sorted":[],"title_canon_sha256":"1c8dfeb63a25ed7e9ce6f6d4f918dc2c9d9aae4a9d2049c9619052e154eb82fb","abstract_canon_sha256":"60a0b3f7cca4385917eb7671a189295c186f005c801b6c9b8fa18ad6ffaef54e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:43.163771Z","signature_b64":"J1Kr+OcDL9HKPx4VtfMS4eBpNVheQebcZusc5ewjpnLcBtBqzAtT1FjKFbtXhhQrd7xLbtL6j/xY1Rg1t4ouBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"441be5b9353188b532816dc9a63245c72ae3ee6daebc4ccb3ee804a4f61ab257","last_reissued_at":"2026-05-18T02:58:43.163144Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:43.163144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geography of Gorenstein stable log surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"S\\\"onke Rollenske, Wenfei Liu","submitted_at":"2013-07-08T09:25:31Z","abstract_excerpt":"We study the geography of Gorenstein stable log surfaces and prove two inequalities for their invariants: the stable Noether inequality and the $P_2$-inequality.\n  By constructing examples we show that all invariants are realised except possibly some cases where the inequalities become equalities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1999","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":"1307.1999","created_at":"2026-05-18T02:58:43.163227+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.1999v2","created_at":"2026-05-18T02:58:43.163227+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1999","created_at":"2026-05-18T02:58:43.163227+00:00"},{"alias_kind":"pith_short_12","alias_value":"IQN6LOJVGGEL","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"IQN6LOJVGGELKMUB","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"IQN6LOJV","created_at":"2026-05-18T12:27:46.883200+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/IQN6LOJVGGELKMUBNXE2MMSFY4","json":"https://pith.science/pith/IQN6LOJVGGELKMUBNXE2MMSFY4.json","graph_json":"https://pith.science/api/pith-number/IQN6LOJVGGELKMUBNXE2MMSFY4/graph.json","events_json":"https://pith.science/api/pith-number/IQN6LOJVGGELKMUBNXE2MMSFY4/events.json","paper":"https://pith.science/paper/IQN6LOJV"},"agent_actions":{"view_html":"https://pith.science/pith/IQN6LOJVGGELKMUBNXE2MMSFY4","download_json":"https://pith.science/pith/IQN6LOJVGGELKMUBNXE2MMSFY4.json","view_paper":"https://pith.science/paper/IQN6LOJV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.1999&json=true","fetch_graph":"https://pith.science/api/pith-number/IQN6LOJVGGELKMUBNXE2MMSFY4/graph.json","fetch_events":"https://pith.science/api/pith-number/IQN6LOJVGGELKMUBNXE2MMSFY4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IQN6LOJVGGELKMUBNXE2MMSFY4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IQN6LOJVGGELKMUBNXE2MMSFY4/action/storage_attestation","attest_author":"https://pith.science/pith/IQN6LOJVGGELKMUBNXE2MMSFY4/action/author_attestation","sign_citation":"https://pith.science/pith/IQN6LOJVGGELKMUBNXE2MMSFY4/action/citation_signature","submit_replication":"https://pith.science/pith/IQN6LOJVGGELKMUBNXE2MMSFY4/action/replication_record"}},"created_at":"2026-05-18T02:58:43.163227+00:00","updated_at":"2026-05-18T02:58:43.163227+00:00"}