{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:CRPJJ37ILS5GCYVDI5463F6C5U","short_pith_number":"pith:CRPJJ37I","schema_version":"1.0","canonical_sha256":"145e94efe85cba6162a34779ed97c2ed0595f141aeabe27800fa5a0e5ecfcf90","source":{"kind":"arxiv","id":"2006.16687","version":2},"attestation_state":"computed","paper":{"title":"Symplectic fillings and cobordisms of lens spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Agniva Roy, John B. Etnyre","submitted_at":"2020-06-30T11:11:54Z","abstract_excerpt":"We complete the classification of symplectic fillings of tight contact structures on lens spaces. In particular, we show that any symplectic filling $X$ of a virtually overtwisted contact structure on $L(p,q)$ has another symplectic structure that fills the universally tight contact structure on $L(p,q)$. Moreover, we show that the Stein filling of $L(p,q)$ with maximal second homology is given by the plumbing of disk bundles. We also consider the question of constructing symplectic cobordisms between lens spaces and report some partial results."},"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":"2006.16687","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2020-06-30T11:11:54Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"c8f6f379c790e0af8e6b6366eb20dd36970e749e0dba93ca5a5022f5367523c1","abstract_canon_sha256":"545222d2ec177b9cdfde3700e14da0c8dc0716f57474410cb1af2c089960aada"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:39:41.586244Z","signature_b64":"z2a+EzqaXmVrRIxbSQdTSjNIJfptgNeNq9muzElZCs8BedMUrRENEqnpmiL4qHRLL4H1Ry16j8hmCAxQjfRFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"145e94efe85cba6162a34779ed97c2ed0595f141aeabe27800fa5a0e5ecfcf90","last_reissued_at":"2026-07-05T02:39:41.585800Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:39:41.585800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symplectic fillings and cobordisms of lens spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Agniva Roy, John B. Etnyre","submitted_at":"2020-06-30T11:11:54Z","abstract_excerpt":"We complete the classification of symplectic fillings of tight contact structures on lens spaces. In particular, we show that any symplectic filling $X$ of a virtually overtwisted contact structure on $L(p,q)$ has another symplectic structure that fills the universally tight contact structure on $L(p,q)$. Moreover, we show that the Stein filling of $L(p,q)$ with maximal second homology is given by the plumbing of disk bundles. We also consider the question of constructing symplectic cobordisms between lens spaces and report some partial results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.16687","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.16687/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2006.16687","created_at":"2026-07-05T02:39:41.585865+00:00"},{"alias_kind":"arxiv_version","alias_value":"2006.16687v2","created_at":"2026-07-05T02:39:41.585865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.16687","created_at":"2026-07-05T02:39:41.585865+00:00"},{"alias_kind":"pith_short_12","alias_value":"CRPJJ37ILS5G","created_at":"2026-07-05T02:39:41.585865+00:00"},{"alias_kind":"pith_short_16","alias_value":"CRPJJ37ILS5GCYVD","created_at":"2026-07-05T02:39:41.585865+00:00"},{"alias_kind":"pith_short_8","alias_value":"CRPJJ37I","created_at":"2026-07-05T02:39:41.585865+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/CRPJJ37ILS5GCYVDI5463F6C5U","json":"https://pith.science/pith/CRPJJ37ILS5GCYVDI5463F6C5U.json","graph_json":"https://pith.science/api/pith-number/CRPJJ37ILS5GCYVDI5463F6C5U/graph.json","events_json":"https://pith.science/api/pith-number/CRPJJ37ILS5GCYVDI5463F6C5U/events.json","paper":"https://pith.science/paper/CRPJJ37I"},"agent_actions":{"view_html":"https://pith.science/pith/CRPJJ37ILS5GCYVDI5463F6C5U","download_json":"https://pith.science/pith/CRPJJ37ILS5GCYVDI5463F6C5U.json","view_paper":"https://pith.science/paper/CRPJJ37I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2006.16687&json=true","fetch_graph":"https://pith.science/api/pith-number/CRPJJ37ILS5GCYVDI5463F6C5U/graph.json","fetch_events":"https://pith.science/api/pith-number/CRPJJ37ILS5GCYVDI5463F6C5U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CRPJJ37ILS5GCYVDI5463F6C5U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CRPJJ37ILS5GCYVDI5463F6C5U/action/storage_attestation","attest_author":"https://pith.science/pith/CRPJJ37ILS5GCYVDI5463F6C5U/action/author_attestation","sign_citation":"https://pith.science/pith/CRPJJ37ILS5GCYVDI5463F6C5U/action/citation_signature","submit_replication":"https://pith.science/pith/CRPJJ37ILS5GCYVDI5463F6C5U/action/replication_record"}},"created_at":"2026-07-05T02:39:41.585865+00:00","updated_at":"2026-07-05T02:39:41.585865+00:00"}