{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:7CD2JFSILTYMGMDFYS2DT3D7J3","short_pith_number":"pith:7CD2JFSI","schema_version":"1.0","canonical_sha256":"f887a496485cf0c33065c4b439ec7f4ed3c6340f2d0f21893945d5357f06fb52","source":{"kind":"arxiv","id":"math/9905203","version":1},"attestation_state":"computed","paper":{"title":"Embeddings from the point of view of immersion theory: Part II","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Michael Weiss, Thomas G. Goodwillie","submitted_at":"1999-05-28T00:00:00Z","abstract_excerpt":"Let M and N be smooth manifolds. For an open V of M let emb(V,N) be the space of embeddings from V to N. By results of Goodwillie and Goodwillie-Klein, the cofunctor V |--> emb(V,N) is analytic if dim(N)-dim(M) > 2. We deduce that its Taylor series converges to it. For details about the Taylor series, see Part I."},"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/9905203","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"1999-05-28T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"0adc7cadf71278a67d624c544556973ce2fcfdda17dd5137359250cf2c29b0bb","abstract_canon_sha256":"095e1160285fa91a295cc76fe12ed19e061aa74ce28204434a805c3f0d1a5725"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:59.254858Z","signature_b64":"iNtq+kngg7tc3C+8t+8xqs1O1Hs1Bi70sc6Da92m9/Mru+82bKBZtN3is8wP5fm5fkaeDZfcaUOosnDUt+LiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f887a496485cf0c33065c4b439ec7f4ed3c6340f2d0f21893945d5357f06fb52","last_reissued_at":"2026-05-18T02:37:59.254517Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:59.254517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embeddings from the point of view of immersion theory: Part II","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Michael Weiss, Thomas G. Goodwillie","submitted_at":"1999-05-28T00:00:00Z","abstract_excerpt":"Let M and N be smooth manifolds. For an open V of M let emb(V,N) be the space of embeddings from V to N. By results of Goodwillie and Goodwillie-Klein, the cofunctor V |--> emb(V,N) is analytic if dim(N)-dim(M) > 2. We deduce that its Taylor series converges to it. For details about the Taylor series, see Part I."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9905203","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/9905203","created_at":"2026-05-18T02:37:59.254565+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9905203v1","created_at":"2026-05-18T02:37:59.254565+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9905203","created_at":"2026-05-18T02:37:59.254565+00:00"},{"alias_kind":"pith_short_12","alias_value":"7CD2JFSILTYM","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"7CD2JFSILTYMGMDF","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"7CD2JFSI","created_at":"2026-05-18T12:25:49.038998+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/7CD2JFSILTYMGMDFYS2DT3D7J3","json":"https://pith.science/pith/7CD2JFSILTYMGMDFYS2DT3D7J3.json","graph_json":"https://pith.science/api/pith-number/7CD2JFSILTYMGMDFYS2DT3D7J3/graph.json","events_json":"https://pith.science/api/pith-number/7CD2JFSILTYMGMDFYS2DT3D7J3/events.json","paper":"https://pith.science/paper/7CD2JFSI"},"agent_actions":{"view_html":"https://pith.science/pith/7CD2JFSILTYMGMDFYS2DT3D7J3","download_json":"https://pith.science/pith/7CD2JFSILTYMGMDFYS2DT3D7J3.json","view_paper":"https://pith.science/paper/7CD2JFSI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9905203&json=true","fetch_graph":"https://pith.science/api/pith-number/7CD2JFSILTYMGMDFYS2DT3D7J3/graph.json","fetch_events":"https://pith.science/api/pith-number/7CD2JFSILTYMGMDFYS2DT3D7J3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7CD2JFSILTYMGMDFYS2DT3D7J3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7CD2JFSILTYMGMDFYS2DT3D7J3/action/storage_attestation","attest_author":"https://pith.science/pith/7CD2JFSILTYMGMDFYS2DT3D7J3/action/author_attestation","sign_citation":"https://pith.science/pith/7CD2JFSILTYMGMDFYS2DT3D7J3/action/citation_signature","submit_replication":"https://pith.science/pith/7CD2JFSILTYMGMDFYS2DT3D7J3/action/replication_record"}},"created_at":"2026-05-18T02:37:59.254565+00:00","updated_at":"2026-05-18T02:37:59.254565+00:00"}