{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JD2NYSQ53YQBAO2WZ4SQCYFNKR","short_pith_number":"pith:JD2NYSQ5","schema_version":"1.0","canonical_sha256":"48f4dc4a1dde20103b56cf250160ad5460abf54487c0c10c5051c0e79cfb224a","source":{"kind":"arxiv","id":"1704.07723","version":2},"attestation_state":"computed","paper":{"title":"Cauchy's infinitesimals, his sum theorem, and foundational paradigms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.LO"],"primary_cat":"math.HO","authors_text":"Alexandre Borovik, David M. Schaps, David Sherry, Karin U. Katz, Mikhail G. Katz, Piotr Blaszczyk, Semen S. Kutateladze, Thomas Mcgaffey, Tiziana Bascelli, Vladimir Kanovei","submitted_at":"2017-04-25T14:53:58Z","abstract_excerpt":"Cauchy's sum theorem is a prototype of what is today a basic result on the convergence of a series of functions in undergraduate analysis. We seek to interpret Cauchy's proof, and discuss the related epistemological questions involved in comparing distinct interpretive paradigms. Cauchy's proof is often interpreted in the modern framework of a Weierstrassian paradigm. We analyze Cauchy's proof closely and show that it finds closer proxies in a different modern framework.\n  Keywords: Cauchy's infinitesimal; sum theorem; quantifier alternation; uniform convergence; foundational paradigms."},"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":"1704.07723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2017-04-25T14:53:58Z","cross_cats_sorted":["math.CA","math.LO"],"title_canon_sha256":"48b601f0ea75728e7aabfabe5c108997b628efb5c84d9ee5cbba57d10b21be3a","abstract_canon_sha256":"ef89436e269300ec109f450ff9829a764eaef32ff0fa5ace73a6a310f50991b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:17.706154Z","signature_b64":"bC93sGJTHaHyLTjaxxMbVCsqJHc8QMv4usmK+thtgWX4Zqj9jFdR0QdJ+1f6RSnARNNy/mMB/PPMFmDR/pE4AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48f4dc4a1dde20103b56cf250160ad5460abf54487c0c10c5051c0e79cfb224a","last_reissued_at":"2026-05-18T00:41:17.705444Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:17.705444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cauchy's infinitesimals, his sum theorem, and foundational paradigms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.LO"],"primary_cat":"math.HO","authors_text":"Alexandre Borovik, David M. Schaps, David Sherry, Karin U. Katz, Mikhail G. Katz, Piotr Blaszczyk, Semen S. Kutateladze, Thomas Mcgaffey, Tiziana Bascelli, Vladimir Kanovei","submitted_at":"2017-04-25T14:53:58Z","abstract_excerpt":"Cauchy's sum theorem is a prototype of what is today a basic result on the convergence of a series of functions in undergraduate analysis. We seek to interpret Cauchy's proof, and discuss the related epistemological questions involved in comparing distinct interpretive paradigms. Cauchy's proof is often interpreted in the modern framework of a Weierstrassian paradigm. We analyze Cauchy's proof closely and show that it finds closer proxies in a different modern framework.\n  Keywords: Cauchy's infinitesimal; sum theorem; quantifier alternation; uniform convergence; foundational paradigms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07723","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":"1704.07723","created_at":"2026-05-18T00:41:17.705554+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.07723v2","created_at":"2026-05-18T00:41:17.705554+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07723","created_at":"2026-05-18T00:41:17.705554+00:00"},{"alias_kind":"pith_short_12","alias_value":"JD2NYSQ53YQB","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"JD2NYSQ53YQBAO2W","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"JD2NYSQ5","created_at":"2026-05-18T12:31:21.493067+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/JD2NYSQ53YQBAO2WZ4SQCYFNKR","json":"https://pith.science/pith/JD2NYSQ53YQBAO2WZ4SQCYFNKR.json","graph_json":"https://pith.science/api/pith-number/JD2NYSQ53YQBAO2WZ4SQCYFNKR/graph.json","events_json":"https://pith.science/api/pith-number/JD2NYSQ53YQBAO2WZ4SQCYFNKR/events.json","paper":"https://pith.science/paper/JD2NYSQ5"},"agent_actions":{"view_html":"https://pith.science/pith/JD2NYSQ53YQBAO2WZ4SQCYFNKR","download_json":"https://pith.science/pith/JD2NYSQ53YQBAO2WZ4SQCYFNKR.json","view_paper":"https://pith.science/paper/JD2NYSQ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.07723&json=true","fetch_graph":"https://pith.science/api/pith-number/JD2NYSQ53YQBAO2WZ4SQCYFNKR/graph.json","fetch_events":"https://pith.science/api/pith-number/JD2NYSQ53YQBAO2WZ4SQCYFNKR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JD2NYSQ53YQBAO2WZ4SQCYFNKR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JD2NYSQ53YQBAO2WZ4SQCYFNKR/action/storage_attestation","attest_author":"https://pith.science/pith/JD2NYSQ53YQBAO2WZ4SQCYFNKR/action/author_attestation","sign_citation":"https://pith.science/pith/JD2NYSQ53YQBAO2WZ4SQCYFNKR/action/citation_signature","submit_replication":"https://pith.science/pith/JD2NYSQ53YQBAO2WZ4SQCYFNKR/action/replication_record"}},"created_at":"2026-05-18T00:41:17.705554+00:00","updated_at":"2026-05-18T00:41:17.705554+00:00"}