{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:RSG6QCUOUEOVMZYEDLRAM5S4CR","short_pith_number":"pith:RSG6QCUO","schema_version":"1.0","canonical_sha256":"8c8de80a8ea11d5667041ae206765c147ee067bce6cbded5ecb78b29c70059f0","source":{"kind":"arxiv","id":"math/9911253","version":1},"attestation_state":"computed","paper":{"title":"The E_8-manifold, singular fibers and handlebody decompositions","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Paul Melvin, Robion Kirby","submitted_at":"1999-11-19T00:00:00Z","abstract_excerpt":"The E_8-manifold has several natural framed link descriptions, and we give an efficient method (via `grapes') for showing that they are indeed the same 4-manifold. This leads to explicit handle pictures for the perturbation of singular fibers in an elliptic surface to a collection of fishtails. In the same vein, we show how the degeneration of a regular fiber to a singular fiber in an elliptic surface provides rich examples of Gromov's compactness theorem."},"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":"math/9911253","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"1999-11-19T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"b0f8e2e1ef74c710d7bc1c44ea252da1be19e9407ea337f747ac50389a813645","abstract_canon_sha256":"79bcfe3a7de10c6eb90774cf33f61c448442c0dcb5c713b394170afddff2b29b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:32.418556Z","signature_b64":"KMaOh12tvMraSP9AIXLveZg0TnS+UytSQL9DnUOtBEmJvxbcZUHlQEWhf6HxwCg1Eyxvu4FheCDdSmEcp32tBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c8de80a8ea11d5667041ae206765c147ee067bce6cbded5ecb78b29c70059f0","last_reissued_at":"2026-05-18T01:05:32.417946Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:32.417946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The E_8-manifold, singular fibers and handlebody decompositions","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Paul Melvin, Robion Kirby","submitted_at":"1999-11-19T00:00:00Z","abstract_excerpt":"The E_8-manifold has several natural framed link descriptions, and we give an efficient method (via `grapes') for showing that they are indeed the same 4-manifold. This leads to explicit handle pictures for the perturbation of singular fibers in an elliptic surface to a collection of fishtails. In the same vein, we show how the degeneration of a regular fiber to a singular fiber in an elliptic surface provides rich examples of Gromov's compactness theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9911253","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":""},"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":"math/9911253","created_at":"2026-05-18T01:05:32.418049+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9911253v1","created_at":"2026-05-18T01:05:32.418049+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9911253","created_at":"2026-05-18T01:05:32.418049+00:00"},{"alias_kind":"pith_short_12","alias_value":"RSG6QCUOUEOV","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"RSG6QCUOUEOVMZYE","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"RSG6QCUO","created_at":"2026-05-18T12:25:49.631198+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/RSG6QCUOUEOVMZYEDLRAM5S4CR","json":"https://pith.science/pith/RSG6QCUOUEOVMZYEDLRAM5S4CR.json","graph_json":"https://pith.science/api/pith-number/RSG6QCUOUEOVMZYEDLRAM5S4CR/graph.json","events_json":"https://pith.science/api/pith-number/RSG6QCUOUEOVMZYEDLRAM5S4CR/events.json","paper":"https://pith.science/paper/RSG6QCUO"},"agent_actions":{"view_html":"https://pith.science/pith/RSG6QCUOUEOVMZYEDLRAM5S4CR","download_json":"https://pith.science/pith/RSG6QCUOUEOVMZYEDLRAM5S4CR.json","view_paper":"https://pith.science/paper/RSG6QCUO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9911253&json=true","fetch_graph":"https://pith.science/api/pith-number/RSG6QCUOUEOVMZYEDLRAM5S4CR/graph.json","fetch_events":"https://pith.science/api/pith-number/RSG6QCUOUEOVMZYEDLRAM5S4CR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RSG6QCUOUEOVMZYEDLRAM5S4CR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RSG6QCUOUEOVMZYEDLRAM5S4CR/action/storage_attestation","attest_author":"https://pith.science/pith/RSG6QCUOUEOVMZYEDLRAM5S4CR/action/author_attestation","sign_citation":"https://pith.science/pith/RSG6QCUOUEOVMZYEDLRAM5S4CR/action/citation_signature","submit_replication":"https://pith.science/pith/RSG6QCUOUEOVMZYEDLRAM5S4CR/action/replication_record"}},"created_at":"2026-05-18T01:05:32.418049+00:00","updated_at":"2026-05-18T01:05:32.418049+00:00"}