{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:AUZVNKO266U5TYCJCVEUP3KS4K","short_pith_number":"pith:AUZVNKO2","schema_version":"1.0","canonical_sha256":"053356a9daf7a9d9e049154947ed52e29f62e2177b06a9963e01c4bcbb969a19","source":{"kind":"arxiv","id":"1601.05147","version":1},"attestation_state":"computed","paper":{"title":"Infinitesimal bi-Lipschitz Equivalence of Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.AG"],"primary_cat":"math.CV","authors_text":"Terence Gaffney","submitted_at":"2016-01-20T01:50:57Z","abstract_excerpt":"We introduce two different notions of infinitesimal bi-Lipschitz equivalence for functions, one related to bi-Lipschitz triviality of families of functions, one related to homeomorphisms which are bi-Lipschitz on the fibers of the functions in the family. We show that the first is not a generic condition, and that the second is."},"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":"1601.05147","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-20T01:50:57Z","cross_cats_sorted":["math.AC","math.AG"],"title_canon_sha256":"4a71e71beaa5a38c7d101abaae6a09366fca677805abe76b5c1f87a73c3d3104","abstract_canon_sha256":"b4d126e52e8850596420aadf9b686523775fadcbdf26a613e220c5cc06f660d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:16.001273Z","signature_b64":"3mpomjF2jrmHbZogElXwn7nhKVXLQI/ToPXmY7r6T9wtTOVlZSE3Y7ZSFFAXGjPL2hljC4zu4H53z4vvXN6iBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"053356a9daf7a9d9e049154947ed52e29f62e2177b06a9963e01c4bcbb969a19","last_reissued_at":"2026-05-18T01:22:16.000624Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:16.000624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Infinitesimal bi-Lipschitz Equivalence of Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.AG"],"primary_cat":"math.CV","authors_text":"Terence Gaffney","submitted_at":"2016-01-20T01:50:57Z","abstract_excerpt":"We introduce two different notions of infinitesimal bi-Lipschitz equivalence for functions, one related to bi-Lipschitz triviality of families of functions, one related to homeomorphisms which are bi-Lipschitz on the fibers of the functions in the family. We show that the first is not a generic condition, and that the second is."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05147","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1601.05147","created_at":"2026-05-18T01:22:16.000713+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.05147v1","created_at":"2026-05-18T01:22:16.000713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05147","created_at":"2026-05-18T01:22:16.000713+00:00"},{"alias_kind":"pith_short_12","alias_value":"AUZVNKO266U5","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"AUZVNKO266U5TYCJ","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"AUZVNKO2","created_at":"2026-05-18T12:30:07.202191+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/AUZVNKO266U5TYCJCVEUP3KS4K","json":"https://pith.science/pith/AUZVNKO266U5TYCJCVEUP3KS4K.json","graph_json":"https://pith.science/api/pith-number/AUZVNKO266U5TYCJCVEUP3KS4K/graph.json","events_json":"https://pith.science/api/pith-number/AUZVNKO266U5TYCJCVEUP3KS4K/events.json","paper":"https://pith.science/paper/AUZVNKO2"},"agent_actions":{"view_html":"https://pith.science/pith/AUZVNKO266U5TYCJCVEUP3KS4K","download_json":"https://pith.science/pith/AUZVNKO266U5TYCJCVEUP3KS4K.json","view_paper":"https://pith.science/paper/AUZVNKO2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.05147&json=true","fetch_graph":"https://pith.science/api/pith-number/AUZVNKO266U5TYCJCVEUP3KS4K/graph.json","fetch_events":"https://pith.science/api/pith-number/AUZVNKO266U5TYCJCVEUP3KS4K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AUZVNKO266U5TYCJCVEUP3KS4K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AUZVNKO266U5TYCJCVEUP3KS4K/action/storage_attestation","attest_author":"https://pith.science/pith/AUZVNKO266U5TYCJCVEUP3KS4K/action/author_attestation","sign_citation":"https://pith.science/pith/AUZVNKO266U5TYCJCVEUP3KS4K/action/citation_signature","submit_replication":"https://pith.science/pith/AUZVNKO266U5TYCJCVEUP3KS4K/action/replication_record"}},"created_at":"2026-05-18T01:22:16.000713+00:00","updated_at":"2026-05-18T01:22:16.000713+00:00"}