{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZGENPX77TRQXMS6O7IONRIKXFO","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":"780f11fe47abb87c65a41bf70ef8cd96e1093eff76cee147bc2625a683183853","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-21T22:19:30Z","title_canon_sha256":"9278ece86c785d3bf0ea9bd6cce1c62bbb59e9e26488532f72c1640c64b7796a"},"schema_version":"1.0","source":{"id":"1711.08070","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.08070","created_at":"2026-05-18T00:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"1711.08070v2","created_at":"2026-05-18T00:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08070","created_at":"2026-05-18T00:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"ZGENPX77TRQX","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZGENPX77TRQXMS6O","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZGENPX77","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:aee66c05edf8ccbe94bf008af7bb072f41088388879bc315603bec50d007ce7b","target":"graph","created_at":"2026-05-18T00:24:02Z","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"},"paper":{"abstract_excerpt":"In this paper we recall the contribution given by Hermann Weyl and Andr\\'e Marchaud to the notion of fractional derivative. In addition we discuss some relationships between the fractional Laplace operator and Marchaud derivative in the perspective to generalize these objects to different fields of the mathematics.","authors_text":"Fausto Ferrari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-21T22:19:30Z","title":"Weyl and Marchaud derivatives: a forgotten history"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08070","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":"sha256:426d09965c505371e2fcabe68adcdc352ffb344cad91234106d90baaf22339a7","target":"record","created_at":"2026-05-18T00:24:02Z","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":"780f11fe47abb87c65a41bf70ef8cd96e1093eff76cee147bc2625a683183853","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-21T22:19:30Z","title_canon_sha256":"9278ece86c785d3bf0ea9bd6cce1c62bbb59e9e26488532f72c1640c64b7796a"},"schema_version":"1.0","source":{"id":"1711.08070","kind":"arxiv","version":2}},"canonical_sha256":"c988d7dfff9c61764bcefa1cd8a1572b95d5d47fa08493fdeb432089d12f7a6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c988d7dfff9c61764bcefa1cd8a1572b95d5d47fa08493fdeb432089d12f7a6f","first_computed_at":"2026-05-18T00:24:02.597454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:02.597454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jcgJADFMOmP5Jwl486E/6yrTLGsom+7yEstUDKdmBkE6j7gPgGbYQZ2x5/SacsshYnH1jjmShOZjtWc7+5ZzDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:02.597889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.08070","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:426d09965c505371e2fcabe68adcdc352ffb344cad91234106d90baaf22339a7","sha256:aee66c05edf8ccbe94bf008af7bb072f41088388879bc315603bec50d007ce7b"],"state_sha256":"3d0970c744bf218dd5d89d6e92e0dfb476514251d5085e4f81aabda3f05a4fb5"}