{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CBLUENE3C333FOAWK2HDZCIOBR","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":"383888ca59dd5fb70e039e540e832d0461bd71daaa945f0688e0fa962c6a72ae","cross_cats_sorted":["cs.LO","cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2019-08-14T01:58:18Z","title_canon_sha256":"e148bdf27b0720aae9ca86a801dba926ac275d5f72890c0d8f5901995884d846"},"schema_version":"1.0","source":{"id":"1908.04923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04923","created_at":"2026-07-04T23:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04923v1","created_at":"2026-07-04T23:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04923","created_at":"2026-07-04T23:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"CBLUENE3C333","created_at":"2026-07-04T23:55:58Z"},{"alias_kind":"pith_short_16","alias_value":"CBLUENE3C333FOAW","created_at":"2026-07-04T23:55:58Z"},{"alias_kind":"pith_short_8","alias_value":"CBLUENE3","created_at":"2026-07-04T23:55:58Z"}],"graph_snapshots":[{"event_id":"sha256:024537f9c236b31cf2e381840bf7967e69d8c84fd6717390c2ced48f87aeeb09","target":"graph","created_at":"2026-07-04T23:55:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.04923/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by recent results of Kapron and Steinberg (LICS 2018) we introduce new forms of iteration on length in the setting of applied lambda-calculi for higher-type poly-time computability. In particular, in a type-two setting, we consider functionals which capture iteration on input length which bound interaction with the type-one input parameter, by restricting to a constant either the number of times the function parameter may return a value of increasing size, or the number of times the function parameter may be applied to an argument of increasing size. We prove that for any constant bo","authors_text":"Bruce M. Kapron (University of Victoria), Florian Steinberg (INRIA Saclay)","cross_cats":["cs.LO","cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2019-08-14T01:58:18Z","title":"Type-two Iteration with Bounded Query Revision"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04923","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":"sha256:8ed7c2dbc50f3852dfb2896595a6ff956ec9e96c252575f13feb45b9fa7104dc","target":"record","created_at":"2026-07-04T23:55:58Z","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":"383888ca59dd5fb70e039e540e832d0461bd71daaa945f0688e0fa962c6a72ae","cross_cats_sorted":["cs.LO","cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2019-08-14T01:58:18Z","title_canon_sha256":"e148bdf27b0720aae9ca86a801dba926ac275d5f72890c0d8f5901995884d846"},"schema_version":"1.0","source":{"id":"1908.04923","kind":"arxiv","version":1}},"canonical_sha256":"105742349b16f7b2b816568e3c890e0c545f9f32aec78e21208054f1d7dd90f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"105742349b16f7b2b816568e3c890e0c545f9f32aec78e21208054f1d7dd90f1","first_computed_at":"2026-07-04T23:55:58.208714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:55:58.208714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G7EcXOoF6wJW1gVWuudr/KWxmiaaV8nTxRVExscP9VgDNuDo8SMFETppuXfU4SBD9wwNrdu9BXm/9LnVuERgCA==","signature_status":"signed_v1","signed_at":"2026-07-04T23:55:58.209125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ed7c2dbc50f3852dfb2896595a6ff956ec9e96c252575f13feb45b9fa7104dc","sha256:024537f9c236b31cf2e381840bf7967e69d8c84fd6717390c2ced48f87aeeb09"],"state_sha256":"513ba998fd4cc3bccb77a85027868d166e946f106e5d89684a702aaed81d1243"}