{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:W26IPD4576YEP3UCPDU2AS4LF7","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":"5861aa9823233b382f30470141d9644dfb7c576a99d826487762bddbdf794c4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-03-23T15:04:04Z","title_canon_sha256":"dc9e688f16bee511919a49a8cb75037a91f45091cc63f7bebdb653ddb74f29f4"},"schema_version":"1.0","source":{"id":"1603.07218","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07218","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07218v1","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07218","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"W26IPD4576YE","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"W26IPD4576YEP3UC","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"W26IPD45","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:bf5d81fc22ae71c3b743075467b34d25837daba4ee8cbd2405c77a8017bda4e0","target":"graph","created_at":"2026-05-18T01:18:24Z","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 the folklore of linear logic, a common intuition is that the structure of finiteness spaces, introduced by Ehrhard, semantically reflects the strong normalization property of cut-elimination. We make this intuition formal in the context of the non-deterministic {\\lambda}-calculus by introducing a finiteness structure on resource terms, which is such that a {\\lambda}-term is strongly normalizing iff the support of its Taylor expansion is finitary. An application of our result is the existence of a normal form for the Taylor expansion of any strongly normalizable non-deterministic {\\lambda}-t","authors_text":"Christine Tasson, Lionel Vaux, Michele Pagani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-03-23T15:04:04Z","title":"Strong Normalizability as a Finiteness Structure via the Taylor Expansion of {\\lambda}-terms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07218","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:e243dab0ab39ae3503d112c2d1c187a5a92aa2c98088304ed2421246e74fee7a","target":"record","created_at":"2026-05-18T01:18:24Z","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":"5861aa9823233b382f30470141d9644dfb7c576a99d826487762bddbdf794c4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-03-23T15:04:04Z","title_canon_sha256":"dc9e688f16bee511919a49a8cb75037a91f45091cc63f7bebdb653ddb74f29f4"},"schema_version":"1.0","source":{"id":"1603.07218","kind":"arxiv","version":1}},"canonical_sha256":"b6bc878f9dffb047ee8278e9a04b8b2fcfb7f2ba67ed82ce6cedcbbaf3df5c28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6bc878f9dffb047ee8278e9a04b8b2fcfb7f2ba67ed82ce6cedcbbaf3df5c28","first_computed_at":"2026-05-18T01:18:24.045873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:24.045873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nqijMYQIbT6o2gpjZlYQXAlqgELs3L60PQYMo6c2RFVdBFPeiXAe62DaqCviWU0jvhoRbHGN7Shw3sCoyLzjAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:24.046394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07218","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e243dab0ab39ae3503d112c2d1c187a5a92aa2c98088304ed2421246e74fee7a","sha256:bf5d81fc22ae71c3b743075467b34d25837daba4ee8cbd2405c77a8017bda4e0"],"state_sha256":"92e25d601d54e9ce27733a62e8df03705b394e0eeb158745800539c4b4af6f2a"}