{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VGOTHVD6UMAU2BWCIY5ROKH73V","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":"9867f450016054c6e5e1c4b4c98bc739495a7d7035ec54ff802c1042f5e39177","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-30T09:56:57Z","title_canon_sha256":"ceb2305e801df7a01614c474f0265570d242db41be99e60085ef5f78fb621f3b"},"schema_version":"1.0","source":{"id":"1412.8595","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.8595","created_at":"2026-05-18T00:57:38Z"},{"alias_kind":"arxiv_version","alias_value":"1412.8595v1","created_at":"2026-05-18T00:57:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8595","created_at":"2026-05-18T00:57:38Z"},{"alias_kind":"pith_short_12","alias_value":"VGOTHVD6UMAU","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VGOTHVD6UMAU2BWC","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VGOTHVD6","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:2e71187001ec00f59aa2543f50da47ca1ef25f107494357c696c7999a9e1b768","target":"graph","created_at":"2026-05-18T00:57:38Z","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 shed some new light to the problem of characterizing those functions of several arguments that have a unique identification minor. The 2-set-transitive functions are known to have this property. We describe another class of functions that have a unique identification minor, namely functions determined by the order of first occurrence. We also present some examples of other kinds of functions with a unique identification minor. These examples have a relatively small arity.","authors_text":"Erkko Lehtonen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-30T09:56:57Z","title":"On functions with a unique identification minor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8595","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:eba17dabd340fda19ec2cb369c244eb96b34e7a0fb54f2fc8214cb4884eab6a7","target":"record","created_at":"2026-05-18T00:57:38Z","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":"9867f450016054c6e5e1c4b4c98bc739495a7d7035ec54ff802c1042f5e39177","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-30T09:56:57Z","title_canon_sha256":"ceb2305e801df7a01614c474f0265570d242db41be99e60085ef5f78fb621f3b"},"schema_version":"1.0","source":{"id":"1412.8595","kind":"arxiv","version":1}},"canonical_sha256":"a99d33d47ea3014d06c2463b1728ffdd595a1010f7a24374e220cd3f51100de1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a99d33d47ea3014d06c2463b1728ffdd595a1010f7a24374e220cd3f51100de1","first_computed_at":"2026-05-18T00:57:38.424832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:38.424832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"diY07h0Ih+dudc3sJ9Sz6ykoM9oI9frVdIveTYZ1uY1KBOzw6MjJqaNwYGp6TRTOcT5+hC0jgqqUMo1ugiUABg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:38.425687Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.8595","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eba17dabd340fda19ec2cb369c244eb96b34e7a0fb54f2fc8214cb4884eab6a7","sha256:2e71187001ec00f59aa2543f50da47ca1ef25f107494357c696c7999a9e1b768"],"state_sha256":"2d94b4fb83fb2c2896c5e858db9dea400ce51a5681c2838cd73bd7adf1e8e6cb"}