{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SIB6HLVX6MVIME56YV6U6HLQBB","short_pith_number":"pith:SIB6HLVX","schema_version":"1.0","canonical_sha256":"9203e3aeb7f32a8613bec57d4f1d700870b1fabdc13400d1fe438bc5206294d9","source":{"kind":"arxiv","id":"1410.1461","version":3},"attestation_state":"computed","paper":{"title":"Absolutely exotic compact 4-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Daniel Ruberman, Selman Akbulut","submitted_at":"2014-10-06T17:08:45Z","abstract_excerpt":"We show how to construct absolutely exotic smooth structures on compact 4-manifolds with boundary, including contractible manifolds. In particular, we prove that any compact smooth 4-manifold W with boundary that admits a relatively exotic structure contains a pair of codimension-zero submanifolds homotopy equivalent to W that are absolutely exotic copies of each other. In this context, {\\em absolute} means that the exotic structure is not relative to a particular parameterization of the boundary. Our examples are constructed by modifying a relatively exotic manifold by adding an invertible ho"},"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":"1410.1461","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-06T17:08:45Z","cross_cats_sorted":[],"title_canon_sha256":"df37a9cd8f91d91cf5bb11ea8611acd8d03457fa9f258d20fc73c73e28e659a8","abstract_canon_sha256":"c420117ba30b68a113c7085a37c92571db32693c180b5c10496370d53f7c95c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:31.044764Z","signature_b64":"Rmh78mLgUqnIyqYG1UZRQuVMWnKz21hMMzP26mgmR0IbmP9aVeC2Vluwx7FlyeZBZXQb9uZmR3yP+uEj0ES/Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9203e3aeb7f32a8613bec57d4f1d700870b1fabdc13400d1fe438bc5206294d9","last_reissued_at":"2026-05-18T02:31:31.044384Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:31.044384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Absolutely exotic compact 4-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Daniel Ruberman, Selman Akbulut","submitted_at":"2014-10-06T17:08:45Z","abstract_excerpt":"We show how to construct absolutely exotic smooth structures on compact 4-manifolds with boundary, including contractible manifolds. In particular, we prove that any compact smooth 4-manifold W with boundary that admits a relatively exotic structure contains a pair of codimension-zero submanifolds homotopy equivalent to W that are absolutely exotic copies of each other. In this context, {\\em absolute} means that the exotic structure is not relative to a particular parameterization of the boundary. Our examples are constructed by modifying a relatively exotic manifold by adding an invertible ho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1461","kind":"arxiv","version":3},"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":"1410.1461","created_at":"2026-05-18T02:31:31.044440+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.1461v3","created_at":"2026-05-18T02:31:31.044440+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1461","created_at":"2026-05-18T02:31:31.044440+00:00"},{"alias_kind":"pith_short_12","alias_value":"SIB6HLVX6MVI","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SIB6HLVX6MVIME56","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SIB6HLVX","created_at":"2026-05-18T12:28:49.207871+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/SIB6HLVX6MVIME56YV6U6HLQBB","json":"https://pith.science/pith/SIB6HLVX6MVIME56YV6U6HLQBB.json","graph_json":"https://pith.science/api/pith-number/SIB6HLVX6MVIME56YV6U6HLQBB/graph.json","events_json":"https://pith.science/api/pith-number/SIB6HLVX6MVIME56YV6U6HLQBB/events.json","paper":"https://pith.science/paper/SIB6HLVX"},"agent_actions":{"view_html":"https://pith.science/pith/SIB6HLVX6MVIME56YV6U6HLQBB","download_json":"https://pith.science/pith/SIB6HLVX6MVIME56YV6U6HLQBB.json","view_paper":"https://pith.science/paper/SIB6HLVX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.1461&json=true","fetch_graph":"https://pith.science/api/pith-number/SIB6HLVX6MVIME56YV6U6HLQBB/graph.json","fetch_events":"https://pith.science/api/pith-number/SIB6HLVX6MVIME56YV6U6HLQBB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SIB6HLVX6MVIME56YV6U6HLQBB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SIB6HLVX6MVIME56YV6U6HLQBB/action/storage_attestation","attest_author":"https://pith.science/pith/SIB6HLVX6MVIME56YV6U6HLQBB/action/author_attestation","sign_citation":"https://pith.science/pith/SIB6HLVX6MVIME56YV6U6HLQBB/action/citation_signature","submit_replication":"https://pith.science/pith/SIB6HLVX6MVIME56YV6U6HLQBB/action/replication_record"}},"created_at":"2026-05-18T02:31:31.044440+00:00","updated_at":"2026-05-18T02:31:31.044440+00:00"}