{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:LWYX3NOAD3H32ONXPSN5FJURHI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b72d45d31b4fb63817a768b8eade6d255219162f8d2d4b99d23e5af50d46b319","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2020-05-18T17:55:57Z","title_canon_sha256":"0583f9145146dfc7932e3572f68030fd1e7aae166316d96cde7a7f039e3466f2"},"schema_version":"1.0","source":{"id":"2005.08928","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.08928","created_at":"2026-07-05T01:30:51Z"},{"alias_kind":"arxiv_version","alias_value":"2005.08928v2","created_at":"2026-07-05T01:30:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.08928","created_at":"2026-07-05T01:30:51Z"},{"alias_kind":"pith_short_12","alias_value":"LWYX3NOAD3H3","created_at":"2026-07-05T01:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"LWYX3NOAD3H32ONX","created_at":"2026-07-05T01:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"LWYX3NOA","created_at":"2026-07-05T01:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:a3807331bf6d9e4a5f8e50b6486f5da5b4071b8b1cf909f9051c341aa776867c","target":"graph","created_at":"2026-07-05T01:30:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2005.08928/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A cork is a smooth, contractible, oriented, compact 4-manifold $W$ together with a self-diffeomorphism $f$ of the boundary 3-manifold that cannot extend to a self-diffeomorphism of $W$; the cork is said to be strong if $f$ cannot extend to a self-diffeomorphism of any smooth integer homology ball bounded by $\\partial W$. Surprising recent work of Dai, Hedden, and Mallick showed that most of the well-known corks in the literature are strong. We construct the first non-strong corks, which also give rise to new examples of absolutely exotic Mazur manifolds. Additionally we give the first examples","authors_text":"Kyle Hayden, Lisa Piccirillo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2020-05-18T17:55:57Z","title":"New curiosities in the menagerie of corks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.08928","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5fdd15dff6ec778f39afbdaf16e91d4910e34f3e6b7aeb1feea7b9c16abfa363","target":"record","created_at":"2026-07-05T01:30:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b72d45d31b4fb63817a768b8eade6d255219162f8d2d4b99d23e5af50d46b319","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2020-05-18T17:55:57Z","title_canon_sha256":"0583f9145146dfc7932e3572f68030fd1e7aae166316d96cde7a7f039e3466f2"},"schema_version":"1.0","source":{"id":"2005.08928","kind":"arxiv","version":2}},"canonical_sha256":"5db17db5c01ecfbd39b77c9bd2a6913a3c50b4817e28b30c6047610f2edac670","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5db17db5c01ecfbd39b77c9bd2a6913a3c50b4817e28b30c6047610f2edac670","first_computed_at":"2026-07-05T01:30:51.320410Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:30:51.320410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w6aUCLWAU4hq40P3o478v8dyLsk2nWUcIB9tJWwnqnQ1WbAwhqS/aJZYlLayhKotg5UN74QORcWnrwepFDJnAg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:30:51.320881Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.08928","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fdd15dff6ec778f39afbdaf16e91d4910e34f3e6b7aeb1feea7b9c16abfa363","sha256:a3807331bf6d9e4a5f8e50b6486f5da5b4071b8b1cf909f9051c341aa776867c"],"state_sha256":"aab0a3630be6682b570cf2542e602bac45dc9c49e1ef88d7a4e55537ac16dd46"}