{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HPZF4QYEY7VTDCY6PSUQPKQ7G3","short_pith_number":"pith:HPZF4QYE","schema_version":"1.0","canonical_sha256":"3bf25e4304c7eb318b1e7ca907aa1f36f550296c0d4ad66d9aad6182a7ee62e8","source":{"kind":"arxiv","id":"1410.0778","version":2},"attestation_state":"computed","paper":{"title":"A characterization of barycentrically preassociative functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Bruno Teheux, Jean-Luc Marichal","submitted_at":"2014-10-03T08:33:04Z","abstract_excerpt":"We provide a characterization of the variadic functions which are barycentrically preassociative as compositions of length-preserving associative string functions with one-to-one unary maps. We also discuss some consequences of this characterization."},"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":"1410.0778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-10-03T08:33:04Z","cross_cats_sorted":[],"title_canon_sha256":"91a3b42088e19c2ecceb94a4d804bf28ae3b994b2a31819fdf82a00e4858607c","abstract_canon_sha256":"d4afac7fabd08542eab30106a0030f6763bd16e5842a34182b3fb5f942a82e22"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:14.861507Z","signature_b64":"vJVz7QN5+p5f3I6YW+TvlYbqVWqd8DLPcTPPSTC50QpNVYcwBFWCzClSuRDqN3ptnENbeXGir5OaSEagb+V2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bf25e4304c7eb318b1e7ca907aa1f36f550296c0d4ad66d9aad6182a7ee62e8","last_reissued_at":"2026-05-18T01:22:14.860935Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:14.860935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A characterization of barycentrically preassociative functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Bruno Teheux, Jean-Luc Marichal","submitted_at":"2014-10-03T08:33:04Z","abstract_excerpt":"We provide a characterization of the variadic functions which are barycentrically preassociative as compositions of length-preserving associative string functions with one-to-one unary maps. We also discuss some consequences of this characterization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0778","kind":"arxiv","version":2},"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":"1410.0778","created_at":"2026-05-18T01:22:14.860996+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.0778v2","created_at":"2026-05-18T01:22:14.860996+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0778","created_at":"2026-05-18T01:22:14.860996+00:00"},{"alias_kind":"pith_short_12","alias_value":"HPZF4QYEY7VT","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HPZF4QYEY7VTDCY6","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HPZF4QYE","created_at":"2026-05-18T12:28:30.664211+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/HPZF4QYEY7VTDCY6PSUQPKQ7G3","json":"https://pith.science/pith/HPZF4QYEY7VTDCY6PSUQPKQ7G3.json","graph_json":"https://pith.science/api/pith-number/HPZF4QYEY7VTDCY6PSUQPKQ7G3/graph.json","events_json":"https://pith.science/api/pith-number/HPZF4QYEY7VTDCY6PSUQPKQ7G3/events.json","paper":"https://pith.science/paper/HPZF4QYE"},"agent_actions":{"view_html":"https://pith.science/pith/HPZF4QYEY7VTDCY6PSUQPKQ7G3","download_json":"https://pith.science/pith/HPZF4QYEY7VTDCY6PSUQPKQ7G3.json","view_paper":"https://pith.science/paper/HPZF4QYE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.0778&json=true","fetch_graph":"https://pith.science/api/pith-number/HPZF4QYEY7VTDCY6PSUQPKQ7G3/graph.json","fetch_events":"https://pith.science/api/pith-number/HPZF4QYEY7VTDCY6PSUQPKQ7G3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HPZF4QYEY7VTDCY6PSUQPKQ7G3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HPZF4QYEY7VTDCY6PSUQPKQ7G3/action/storage_attestation","attest_author":"https://pith.science/pith/HPZF4QYEY7VTDCY6PSUQPKQ7G3/action/author_attestation","sign_citation":"https://pith.science/pith/HPZF4QYEY7VTDCY6PSUQPKQ7G3/action/citation_signature","submit_replication":"https://pith.science/pith/HPZF4QYEY7VTDCY6PSUQPKQ7G3/action/replication_record"}},"created_at":"2026-05-18T01:22:14.860996+00:00","updated_at":"2026-05-18T01:22:14.860996+00:00"}