{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KWLWKQ3IEYBPK5M4RJNRWHX6U7","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":"c69f96cf51719e5413d86798601679cba1ce079167812a0e7a36bc9e9ac8603f","cross_cats_sorted":["math.CA","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2018-02-01T15:37:18Z","title_canon_sha256":"5c12c883bcfeade2dc0f70cd94bfc553368c1499aae3c435eb849f1070c0979b"},"schema_version":"1.0","source":{"id":"1802.01972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01972","created_at":"2026-05-18T00:24:20Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01972v1","created_at":"2026-05-18T00:24:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01972","created_at":"2026-05-18T00:24:20Z"},{"alias_kind":"pith_short_12","alias_value":"KWLWKQ3IEYBP","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KWLWKQ3IEYBPK5M4","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KWLWKQ3I","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:553219a31703ad2a979f957bd62ad2b5802e161d1d0ec6621bdf9b47c9d1655e","target":"graph","created_at":"2026-05-18T00:24:20Z","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":"Felix Klein and Abraham Fraenkel each formulated a criterion for a theory of infinitesimals to be successful, in terms of the feasibility of implementation of the Mean Value Theorem. We explore the evolution of the idea over the past century, and the role of Abraham Robinson's framework therein.","authors_text":"Karin U. Katz, Mikhail G. Katz, Thomas Mormann, Vladimir Kanovei","cross_cats":["math.CA","math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2018-02-01T15:37:18Z","title":"What makes a theory of infinitesimals useful? A view by Klein and Fraenkel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01972","kind":"arxiv","version":1},"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:c8956bd3e9b18bc0dcc7055fe037713a66d5ac5ac80396c3d8fb5de46554f838","target":"record","created_at":"2026-05-18T00:24:20Z","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":"c69f96cf51719e5413d86798601679cba1ce079167812a0e7a36bc9e9ac8603f","cross_cats_sorted":["math.CA","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2018-02-01T15:37:18Z","title_canon_sha256":"5c12c883bcfeade2dc0f70cd94bfc553368c1499aae3c435eb849f1070c0979b"},"schema_version":"1.0","source":{"id":"1802.01972","kind":"arxiv","version":1}},"canonical_sha256":"55976543682602f5759c8a5b1b1efea7d0200509e69b221d2f75454f1a2844e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55976543682602f5759c8a5b1b1efea7d0200509e69b221d2f75454f1a2844e4","first_computed_at":"2026-05-18T00:24:20.804802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:20.804802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GziozWg1d5sLK4hiy2x7Ih76cACbHYz9uhgdwLZKo8xJLGffWdU2DcYdq2ZzkIrgOT/Ve1utW59rdOh6d3uuDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:20.805252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8956bd3e9b18bc0dcc7055fe037713a66d5ac5ac80396c3d8fb5de46554f838","sha256:553219a31703ad2a979f957bd62ad2b5802e161d1d0ec6621bdf9b47c9d1655e"],"state_sha256":"58a748470bd82e9910cb7d86cc5ac4ff791c66b7062dcb6a49648480db7587b2"}