{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PSAHJ2DE6QWVHRHRG2YOSN4Q5F","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":"13f545ecfbe82c21a6862d33ebcfa4a0c39b2a0057d47b92b381937f68381dd5","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-12-27T15:38:47Z","title_canon_sha256":"2fbe84eb9e372420cfc254faed1675ae94f0a739e6e3323b1169d037e32562ad"},"schema_version":"1.0","source":{"id":"1312.7284","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7284","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7284v2","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7284","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"PSAHJ2DE6QWV","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PSAHJ2DE6QWVHRHR","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PSAHJ2DE","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:119e3330886612802c8e1a61f24a4209ad6d302b87ff76c6e10a0a35bbd4ea80","target":"graph","created_at":"2026-05-18T03:03:43Z","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":"Adopting former term rewriting characterisations of polytime and exponential-time computable functions, we introduce a new reduction order, the Path Order for ETIME (POE* for short), that is sound and complete for ETIME computable functions. The proposed reduction order for ETIME makes contrasts to those related complexity classes clear.","authors_text":"Martin Avanzini, Naohi Eguchi","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-12-27T15:38:47Z","title":"A New Term Rewriting Characterisation of ETIME functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7284","kind":"arxiv","version":2},"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":"sha256:08f851aa7bc06ff285e997a5a4262490b6e8d18edc00ea3963a82f96c6ecfb0d","target":"record","created_at":"2026-05-18T03:03:43Z","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":"13f545ecfbe82c21a6862d33ebcfa4a0c39b2a0057d47b92b381937f68381dd5","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-12-27T15:38:47Z","title_canon_sha256":"2fbe84eb9e372420cfc254faed1675ae94f0a739e6e3323b1169d037e32562ad"},"schema_version":"1.0","source":{"id":"1312.7284","kind":"arxiv","version":2}},"canonical_sha256":"7c8074e864f42d53c4f136b0e93790e94ae066b3c99e5bd9dada4fa7f7db703a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c8074e864f42d53c4f136b0e93790e94ae066b3c99e5bd9dada4fa7f7db703a","first_computed_at":"2026-05-18T03:03:43.773374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:43.773374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vfNM8MP6BkmmRrgUqXMVPhF2gXHMVab2VKo7mre7XkF/7Htcs9R0O+fZPVCez0xA6sYQNS+YOQ99nYvx66nVDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:43.774259Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7284","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08f851aa7bc06ff285e997a5a4262490b6e8d18edc00ea3963a82f96c6ecfb0d","sha256:119e3330886612802c8e1a61f24a4209ad6d302b87ff76c6e10a0a35bbd4ea80"],"state_sha256":"aa3493cef13f4e7fc45c4acfda6fd1e2d5d808ea7c68f4ec0dc2737cedf0d85b"}