{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JQSFEROHOC3QA2KIF25ZVME6RB","short_pith_number":"pith:JQSFEROH","schema_version":"1.0","canonical_sha256":"4c245245c770b70069482ebb9ab09e8867583491bd467d50dd2ab62bb35c086b","source":{"kind":"arxiv","id":"2605.21152","version":1},"attestation_state":"computed","paper":{"title":"The Gompf $\\theta$-Invariant of Canonical Contact Structures via Legendrian Surgery","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Burak Ozbagci, Mohan Bhupal","submitted_at":"2026-05-20T13:25:08Z","abstract_excerpt":"Let $\\Gamma$ be a minimal connected negative-definite plumbing tree with all vertices of genus zero, and let $Y_\\Gamma$ be the oriented link of the corresponding normal complex surface singularity, equipped with its canonical contact structure $\\xi_{\\rm can}$. We give an explicit Legendrian surgery description of $\\xi_{\\rm can}$, showing that it is the unique consistent diagram-realizable contact structure on $Y_\\Gamma$, up to isomorphism. We then derive a closed-form formula for Gompf's $\\theta$-invariant of $\\xi_{\\rm can}$ in the Seifert fibered case, expressed purely in terms of the Hirzebr"},"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":"2605.21152","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-05-20T13:25:08Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"e3a5ac51326e2df4107ea934d0e9f55c50301a1f1b29243a71898a518d89345c","abstract_canon_sha256":"1477a491330d30c8dedb7a6d45c5360838815306012529083f67aae0ec021f20"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:40.114640Z","signature_b64":"n9tX5tdbZy63pzNCaNjRLeG26siZJwp4P8zdcWDnXv1ZR5b2GoGOXG5IUl2E0Gh/Q8ngKirUykq9p2neEzRxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c245245c770b70069482ebb9ab09e8867583491bd467d50dd2ab62bb35c086b","last_reissued_at":"2026-05-21T01:05:40.114027Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:40.114027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Gompf $\\theta$-Invariant of Canonical Contact Structures via Legendrian Surgery","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Burak Ozbagci, Mohan Bhupal","submitted_at":"2026-05-20T13:25:08Z","abstract_excerpt":"Let $\\Gamma$ be a minimal connected negative-definite plumbing tree with all vertices of genus zero, and let $Y_\\Gamma$ be the oriented link of the corresponding normal complex surface singularity, equipped with its canonical contact structure $\\xi_{\\rm can}$. We give an explicit Legendrian surgery description of $\\xi_{\\rm can}$, showing that it is the unique consistent diagram-realizable contact structure on $Y_\\Gamma$, up to isomorphism. We then derive a closed-form formula for Gompf's $\\theta$-invariant of $\\xi_{\\rm can}$ in the Seifert fibered case, expressed purely in terms of the Hirzebr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21152","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.21152/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":"2605.21152","created_at":"2026-05-21T01:05:40.114135+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.21152v1","created_at":"2026-05-21T01:05:40.114135+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21152","created_at":"2026-05-21T01:05:40.114135+00:00"},{"alias_kind":"pith_short_12","alias_value":"JQSFEROHOC3Q","created_at":"2026-05-21T01:05:40.114135+00:00"},{"alias_kind":"pith_short_16","alias_value":"JQSFEROHOC3QA2KI","created_at":"2026-05-21T01:05:40.114135+00:00"},{"alias_kind":"pith_short_8","alias_value":"JQSFEROH","created_at":"2026-05-21T01:05:40.114135+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/JQSFEROHOC3QA2KIF25ZVME6RB","json":"https://pith.science/pith/JQSFEROHOC3QA2KIF25ZVME6RB.json","graph_json":"https://pith.science/api/pith-number/JQSFEROHOC3QA2KIF25ZVME6RB/graph.json","events_json":"https://pith.science/api/pith-number/JQSFEROHOC3QA2KIF25ZVME6RB/events.json","paper":"https://pith.science/paper/JQSFEROH"},"agent_actions":{"view_html":"https://pith.science/pith/JQSFEROHOC3QA2KIF25ZVME6RB","download_json":"https://pith.science/pith/JQSFEROHOC3QA2KIF25ZVME6RB.json","view_paper":"https://pith.science/paper/JQSFEROH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.21152&json=true","fetch_graph":"https://pith.science/api/pith-number/JQSFEROHOC3QA2KIF25ZVME6RB/graph.json","fetch_events":"https://pith.science/api/pith-number/JQSFEROHOC3QA2KIF25ZVME6RB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JQSFEROHOC3QA2KIF25ZVME6RB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JQSFEROHOC3QA2KIF25ZVME6RB/action/storage_attestation","attest_author":"https://pith.science/pith/JQSFEROHOC3QA2KIF25ZVME6RB/action/author_attestation","sign_citation":"https://pith.science/pith/JQSFEROHOC3QA2KIF25ZVME6RB/action/citation_signature","submit_replication":"https://pith.science/pith/JQSFEROHOC3QA2KIF25ZVME6RB/action/replication_record"}},"created_at":"2026-05-21T01:05:40.114135+00:00","updated_at":"2026-05-21T01:05:40.114135+00:00"}