{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:IF7K4AUJNBVDI5JJHQPZQVFWRU","short_pith_number":"pith:IF7K4AUJ","schema_version":"1.0","canonical_sha256":"417eae0289686a3475293c1f9854b68d0ef89e472e1576e90d6f733349b6df97","source":{"kind":"arxiv","id":"2505.19343","version":1},"attestation_state":"computed","paper":{"title":"Handle decompositions and stabilizations of open books","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Chun-Sheng Hsueh","submitted_at":"2025-05-25T22:17:13Z","abstract_excerpt":"We build handle decompositions of n-manifolds that encode given open book decompositions and describe handle slides that reveal new open book decompositions on the same underlying manifold, for $n \\geq 3$. This recovers known stabilization operations for open books. As an application, we show that any open book with trivial monodromy can be stabilized to an open book whose page is a boundary connected sum of trivial disk bundles over spheres."},"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":"2505.19343","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2025-05-25T22:17:13Z","cross_cats_sorted":[],"title_canon_sha256":"8d1801137f11254a7fe4406d69be2c69556fbf77729773e8eef0a8fe0fac8db9","abstract_canon_sha256":"bf52a5036508879af56b1a27252859188790c0453ce12a3ef01776adf902996f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:09:28.851394Z","signature_b64":"XnniOm1ciNiJCePJ/WBC7ssKyql4KAAZsmEr4ggodBYu98UijZIMg2RMU03lcSczA6ncqyt+1UC+Aj3YUAW/BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"417eae0289686a3475293c1f9854b68d0ef89e472e1576e90d6f733349b6df97","last_reissued_at":"2026-07-05T11:09:28.850953Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:09:28.850953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Handle decompositions and stabilizations of open books","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Chun-Sheng Hsueh","submitted_at":"2025-05-25T22:17:13Z","abstract_excerpt":"We build handle decompositions of n-manifolds that encode given open book decompositions and describe handle slides that reveal new open book decompositions on the same underlying manifold, for $n \\geq 3$. This recovers known stabilization operations for open books. As an application, we show that any open book with trivial monodromy can be stabilized to an open book whose page is a boundary connected sum of trivial disk bundles over spheres."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.19343","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/2505.19343/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":"2505.19343","created_at":"2026-07-05T11:09:28.851015+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.19343v1","created_at":"2026-07-05T11:09:28.851015+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.19343","created_at":"2026-07-05T11:09:28.851015+00:00"},{"alias_kind":"pith_short_12","alias_value":"IF7K4AUJNBVD","created_at":"2026-07-05T11:09:28.851015+00:00"},{"alias_kind":"pith_short_16","alias_value":"IF7K4AUJNBVDI5JJ","created_at":"2026-07-05T11:09:28.851015+00:00"},{"alias_kind":"pith_short_8","alias_value":"IF7K4AUJ","created_at":"2026-07-05T11:09:28.851015+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.06168","citing_title":"Twist maps and codimension-1 spun embeddings","ref_index":14,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IF7K4AUJNBVDI5JJHQPZQVFWRU","json":"https://pith.science/pith/IF7K4AUJNBVDI5JJHQPZQVFWRU.json","graph_json":"https://pith.science/api/pith-number/IF7K4AUJNBVDI5JJHQPZQVFWRU/graph.json","events_json":"https://pith.science/api/pith-number/IF7K4AUJNBVDI5JJHQPZQVFWRU/events.json","paper":"https://pith.science/paper/IF7K4AUJ"},"agent_actions":{"view_html":"https://pith.science/pith/IF7K4AUJNBVDI5JJHQPZQVFWRU","download_json":"https://pith.science/pith/IF7K4AUJNBVDI5JJHQPZQVFWRU.json","view_paper":"https://pith.science/paper/IF7K4AUJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.19343&json=true","fetch_graph":"https://pith.science/api/pith-number/IF7K4AUJNBVDI5JJHQPZQVFWRU/graph.json","fetch_events":"https://pith.science/api/pith-number/IF7K4AUJNBVDI5JJHQPZQVFWRU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IF7K4AUJNBVDI5JJHQPZQVFWRU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IF7K4AUJNBVDI5JJHQPZQVFWRU/action/storage_attestation","attest_author":"https://pith.science/pith/IF7K4AUJNBVDI5JJHQPZQVFWRU/action/author_attestation","sign_citation":"https://pith.science/pith/IF7K4AUJNBVDI5JJHQPZQVFWRU/action/citation_signature","submit_replication":"https://pith.science/pith/IF7K4AUJNBVDI5JJHQPZQVFWRU/action/replication_record"}},"created_at":"2026-07-05T11:09:28.851015+00:00","updated_at":"2026-07-05T11:09:28.851015+00:00"}