{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AUBNPGTXDIOVB65E3QSA6FAE5V","short_pith_number":"pith:AUBNPGTX","canonical_record":{"source":{"id":"1605.00455","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-05-02T12:21:48Z","cross_cats_sorted":["math.CA","math.LO"],"title_canon_sha256":"07423ae6d6e23059c3706835d732e0cec2ad016db0b91a50d30318446a469e10","abstract_canon_sha256":"6efaa4feffdd5cbb3e8aff4a60ad237d5bcd1f476a4606ab8d288b1eceff9460"},"schema_version":"1.0"},"canonical_sha256":"0502d79a771a1d50fba4dc240f1404ed73bcdd0a4235f4668f902c4e89d69a34","source":{"kind":"arxiv","id":"1605.00455","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00455","created_at":"2026-05-18T01:15:55Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00455v1","created_at":"2026-05-18T01:15:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00455","created_at":"2026-05-18T01:15:55Z"},{"alias_kind":"pith_short_12","alias_value":"AUBNPGTXDIOV","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AUBNPGTXDIOVB65E","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AUBNPGTX","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AUBNPGTXDIOVB65E3QSA6FAE5V","target":"record","payload":{"canonical_record":{"source":{"id":"1605.00455","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-05-02T12:21:48Z","cross_cats_sorted":["math.CA","math.LO"],"title_canon_sha256":"07423ae6d6e23059c3706835d732e0cec2ad016db0b91a50d30318446a469e10","abstract_canon_sha256":"6efaa4feffdd5cbb3e8aff4a60ad237d5bcd1f476a4606ab8d288b1eceff9460"},"schema_version":"1.0"},"canonical_sha256":"0502d79a771a1d50fba4dc240f1404ed73bcdd0a4235f4668f902c4e89d69a34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:55.741140Z","signature_b64":"DobtTiCT74CxORAuvbbkDzLUwBaaWfQDqagN/ZQEN060gy98qZ9ZvOaLZr3PALBqOsKxu1FhId4z5XC+I4LXDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0502d79a771a1d50fba4dc240f1404ed73bcdd0a4235f4668f902c4e89d69a34","last_reissued_at":"2026-05-18T01:15:55.740538Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:55.740538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.00455","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EgvlRTqbI8Io4WtWNrP8C8Z3RwtsRi7uy0D4+abYYaw9zkonKMnOue4ZwS2RU+noUkabef6DtQ2o7bUwSwa2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:29:57.313373Z"},"content_sha256":"1b69904f5847cdf59869a8089da54572c6a61870649ac377a8b6fb35c99c3512","schema_version":"1.0","event_id":"sha256:1b69904f5847cdf59869a8089da54572c6a61870649ac377a8b6fb35c99c3512"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AUBNPGTXDIOVB65E3QSA6FAE5V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interpreting the infinitesimal mathematics of Leibniz and Euler","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.LO"],"primary_cat":"math.HO","authors_text":"David M. Schaps, David Sherry, Jacques Bair, Karin U. Katz, Mikhail G. Katz, Patrick Reeder, Piotr Blaszczyk, Robert Ely, Semen S. Kutateladze, Steven Shnider, Thomas Mcgaffey, Valerie Henry, Vladimir Kanovei","submitted_at":"2016-05-02T12:21:48Z","abstract_excerpt":"We apply Benacerraf's distinction between mathematical ontology and mathematical practice (or the structures mathematicians use in practice) to examine contrasting interpretations of infinitesimal mathematics of the 17th and 18th century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass's ghost behind some of the received historiography on Euler's infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a \"primary point of reference for understanding the eighteenth-c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00455","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZpWPdHDHGDwqJYLGxijbD0bXwA5Ts+pheJ79g0S7/1zeFgHNxlmr5oZQPa21dwX450I0B/ea/PSthDauBF1XDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:29:57.313800Z"},"content_sha256":"9eee1ed68f5399e2c6d35f3c7676b09c657390a2a51051b774cf0a8bb9b67058","schema_version":"1.0","event_id":"sha256:9eee1ed68f5399e2c6d35f3c7676b09c657390a2a51051b774cf0a8bb9b67058"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AUBNPGTXDIOVB65E3QSA6FAE5V/bundle.json","state_url":"https://pith.science/pith/AUBNPGTXDIOVB65E3QSA6FAE5V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AUBNPGTXDIOVB65E3QSA6FAE5V/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T23:29:57Z","links":{"resolver":"https://pith.science/pith/AUBNPGTXDIOVB65E3QSA6FAE5V","bundle":"https://pith.science/pith/AUBNPGTXDIOVB65E3QSA6FAE5V/bundle.json","state":"https://pith.science/pith/AUBNPGTXDIOVB65E3QSA6FAE5V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AUBNPGTXDIOVB65E3QSA6FAE5V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AUBNPGTXDIOVB65E3QSA6FAE5V","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":"6efaa4feffdd5cbb3e8aff4a60ad237d5bcd1f476a4606ab8d288b1eceff9460","cross_cats_sorted":["math.CA","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-05-02T12:21:48Z","title_canon_sha256":"07423ae6d6e23059c3706835d732e0cec2ad016db0b91a50d30318446a469e10"},"schema_version":"1.0","source":{"id":"1605.00455","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00455","created_at":"2026-05-18T01:15:55Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00455v1","created_at":"2026-05-18T01:15:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00455","created_at":"2026-05-18T01:15:55Z"},{"alias_kind":"pith_short_12","alias_value":"AUBNPGTXDIOV","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AUBNPGTXDIOVB65E","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AUBNPGTX","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:9eee1ed68f5399e2c6d35f3c7676b09c657390a2a51051b774cf0a8bb9b67058","target":"graph","created_at":"2026-05-18T01:15:55Z","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":"We apply Benacerraf's distinction between mathematical ontology and mathematical practice (or the structures mathematicians use in practice) to examine contrasting interpretations of infinitesimal mathematics of the 17th and 18th century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass's ghost behind some of the received historiography on Euler's infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a \"primary point of reference for understanding the eighteenth-c","authors_text":"David M. Schaps, David Sherry, Jacques Bair, Karin U. Katz, Mikhail G. Katz, Patrick Reeder, Piotr Blaszczyk, Robert Ely, Semen S. Kutateladze, Steven Shnider, Thomas Mcgaffey, Valerie Henry, Vladimir Kanovei","cross_cats":["math.CA","math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-05-02T12:21:48Z","title":"Interpreting the infinitesimal mathematics of Leibniz and Euler"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00455","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":"sha256:1b69904f5847cdf59869a8089da54572c6a61870649ac377a8b6fb35c99c3512","target":"record","created_at":"2026-05-18T01:15:55Z","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":"6efaa4feffdd5cbb3e8aff4a60ad237d5bcd1f476a4606ab8d288b1eceff9460","cross_cats_sorted":["math.CA","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-05-02T12:21:48Z","title_canon_sha256":"07423ae6d6e23059c3706835d732e0cec2ad016db0b91a50d30318446a469e10"},"schema_version":"1.0","source":{"id":"1605.00455","kind":"arxiv","version":1}},"canonical_sha256":"0502d79a771a1d50fba4dc240f1404ed73bcdd0a4235f4668f902c4e89d69a34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0502d79a771a1d50fba4dc240f1404ed73bcdd0a4235f4668f902c4e89d69a34","first_computed_at":"2026-05-18T01:15:55.740538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:55.740538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DobtTiCT74CxORAuvbbkDzLUwBaaWfQDqagN/ZQEN060gy98qZ9ZvOaLZr3PALBqOsKxu1FhId4z5XC+I4LXDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:55.741140Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.00455","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b69904f5847cdf59869a8089da54572c6a61870649ac377a8b6fb35c99c3512","sha256:9eee1ed68f5399e2c6d35f3c7676b09c657390a2a51051b774cf0a8bb9b67058"],"state_sha256":"50ff7bbef019f7060f99b8512e7726f68fc3370ab7fc6efb4cd4b34749858805"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wyAhRtc1JzUkD+APG68kx7XDwjvQ4h50Ne46s891n3tlgw70/5qbK1U6DLDgEJLcuZEI5EPgWQoCUPmJQ56TAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:29:57.317227Z","bundle_sha256":"270b6dd0c25b6bb2bef7139f6a1e6de8ff1e670f3cd0ac3e0c6f8fc9bbd55248"}}