{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6GUIMJTTKDCKX5C6MGDJXZOAXS","short_pith_number":"pith:6GUIMJTT","schema_version":"1.0","canonical_sha256":"f1a886267350c4abf45e61869be5c0bca2e5de3debac9f29da7c2f6f5ee21bdc","source":{"kind":"arxiv","id":"1408.0952","version":2},"attestation_state":"computed","paper":{"title":"A Primer on Reproducing Kernel Hilbert Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Jonathan H. Manton, Pierre-Olivier Amblard","submitted_at":"2014-08-05T13:11:03Z","abstract_excerpt":"Reproducing kernel Hilbert spaces are elucidated without assuming prior familiarity with Hilbert spaces. Compared with extant pedagogic material, greater care is placed on motivating the definition of reproducing kernel Hilbert spaces and explaining when and why these spaces are efficacious. The novel viewpoint is that reproducing kernel Hilbert space theory studies extrinsic geometry, associating with each geometric configuration a canonical overdetermined coordinate system. This coordinate system varies continuously with changing geometric configurations, making it well-suited for studying p"},"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":"1408.0952","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-08-05T13:11:03Z","cross_cats_sorted":[],"title_canon_sha256":"d8d70264c1d5e00587f96906dbad48a6b2d856087bef1af96a330d01650274f8","abstract_canon_sha256":"a1ead9f61e183f11df425dcc9fa8a505511e2f4ce4e5731e533d0b2ab1a7b2ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:46.575173Z","signature_b64":"g5p01FpkSmtD3n42W43iNj8aQ2pZkwTSgBvovCQtRTDHcQDkRCNL5f3ioaIwykieDnIy9Nn2jOFj8iRnBCsqDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1a886267350c4abf45e61869be5c0bca2e5de3debac9f29da7c2f6f5ee21bdc","last_reissued_at":"2026-05-18T01:27:46.574574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:46.574574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Primer on Reproducing Kernel Hilbert Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Jonathan H. Manton, Pierre-Olivier Amblard","submitted_at":"2014-08-05T13:11:03Z","abstract_excerpt":"Reproducing kernel Hilbert spaces are elucidated without assuming prior familiarity with Hilbert spaces. Compared with extant pedagogic material, greater care is placed on motivating the definition of reproducing kernel Hilbert spaces and explaining when and why these spaces are efficacious. The novel viewpoint is that reproducing kernel Hilbert space theory studies extrinsic geometry, associating with each geometric configuration a canonical overdetermined coordinate system. This coordinate system varies continuously with changing geometric configurations, making it well-suited for studying p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0952","kind":"arxiv","version":2},"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":"1408.0952","created_at":"2026-05-18T01:27:46.574690+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.0952v2","created_at":"2026-05-18T01:27:46.574690+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0952","created_at":"2026-05-18T01:27:46.574690+00:00"},{"alias_kind":"pith_short_12","alias_value":"6GUIMJTTKDCK","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6GUIMJTTKDCKX5C6","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6GUIMJTT","created_at":"2026-05-18T12:28:16.859392+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/6GUIMJTTKDCKX5C6MGDJXZOAXS","json":"https://pith.science/pith/6GUIMJTTKDCKX5C6MGDJXZOAXS.json","graph_json":"https://pith.science/api/pith-number/6GUIMJTTKDCKX5C6MGDJXZOAXS/graph.json","events_json":"https://pith.science/api/pith-number/6GUIMJTTKDCKX5C6MGDJXZOAXS/events.json","paper":"https://pith.science/paper/6GUIMJTT"},"agent_actions":{"view_html":"https://pith.science/pith/6GUIMJTTKDCKX5C6MGDJXZOAXS","download_json":"https://pith.science/pith/6GUIMJTTKDCKX5C6MGDJXZOAXS.json","view_paper":"https://pith.science/paper/6GUIMJTT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.0952&json=true","fetch_graph":"https://pith.science/api/pith-number/6GUIMJTTKDCKX5C6MGDJXZOAXS/graph.json","fetch_events":"https://pith.science/api/pith-number/6GUIMJTTKDCKX5C6MGDJXZOAXS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6GUIMJTTKDCKX5C6MGDJXZOAXS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6GUIMJTTKDCKX5C6MGDJXZOAXS/action/storage_attestation","attest_author":"https://pith.science/pith/6GUIMJTTKDCKX5C6MGDJXZOAXS/action/author_attestation","sign_citation":"https://pith.science/pith/6GUIMJTTKDCKX5C6MGDJXZOAXS/action/citation_signature","submit_replication":"https://pith.science/pith/6GUIMJTTKDCKX5C6MGDJXZOAXS/action/replication_record"}},"created_at":"2026-05-18T01:27:46.574690+00:00","updated_at":"2026-05-18T01:27:46.574690+00:00"}