{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5ABV6CUGGNLS5W63EZA7BZ5QYU","short_pith_number":"pith:5ABV6CUG","schema_version":"1.0","canonical_sha256":"e8035f0a8633572edbdb2641f0e7b0c5143c04fcce7c6734cc6659f0e194dbcb","source":{"kind":"arxiv","id":"1103.4351","version":1},"attestation_state":"computed","paper":{"title":"Some other algebraic properties of folded hypercubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"S. Morteza Mirafzal","submitted_at":"2011-03-22T19:14:07Z","abstract_excerpt":"We construct explicity the automorphism group of the folded hypercube $FQ_n$ of dimension $n>3$, as a semidirect product of $N$ by $M$, where $N$ is isomorphic to the Abelian group $Z_2^n$, and $M$ is isomorphic to $Sym(n+1)$, the symmetric group of degree $n+1$, then we will show that the folded hypercube $FQ_n$ is a symmetric graph."},"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":"1103.4351","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-03-22T19:14:07Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"6e4255dbaa421587745e10873ac9eb772a73ccc8898df05d52f3f7eed83e378b","abstract_canon_sha256":"4bbf0d981e4d9f86a7ecab1c6f85f044797141df4c50c993e425655034ecdb88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:12.488432Z","signature_b64":"sI8CGw/fFfnj7r5HL07rUTUDKva/MK9OcIVauwfoLMbXvXOOLY9F6iTqXnlCSPwjF6MaReAWhq56WmLJOqZTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8035f0a8633572edbdb2641f0e7b0c5143c04fcce7c6734cc6659f0e194dbcb","last_reissued_at":"2026-05-18T04:26:12.487660Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:12.487660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some other algebraic properties of folded hypercubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"S. Morteza Mirafzal","submitted_at":"2011-03-22T19:14:07Z","abstract_excerpt":"We construct explicity the automorphism group of the folded hypercube $FQ_n$ of dimension $n>3$, as a semidirect product of $N$ by $M$, where $N$ is isomorphic to the Abelian group $Z_2^n$, and $M$ is isomorphic to $Sym(n+1)$, the symmetric group of degree $n+1$, then we will show that the folded hypercube $FQ_n$ is a symmetric graph."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4351","kind":"arxiv","version":1},"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":"1103.4351","created_at":"2026-05-18T04:26:12.487783+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.4351v1","created_at":"2026-05-18T04:26:12.487783+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4351","created_at":"2026-05-18T04:26:12.487783+00:00"},{"alias_kind":"pith_short_12","alias_value":"5ABV6CUGGNLS","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5ABV6CUGGNLS5W63","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5ABV6CUG","created_at":"2026-05-18T12:26:20.644004+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/5ABV6CUGGNLS5W63EZA7BZ5QYU","json":"https://pith.science/pith/5ABV6CUGGNLS5W63EZA7BZ5QYU.json","graph_json":"https://pith.science/api/pith-number/5ABV6CUGGNLS5W63EZA7BZ5QYU/graph.json","events_json":"https://pith.science/api/pith-number/5ABV6CUGGNLS5W63EZA7BZ5QYU/events.json","paper":"https://pith.science/paper/5ABV6CUG"},"agent_actions":{"view_html":"https://pith.science/pith/5ABV6CUGGNLS5W63EZA7BZ5QYU","download_json":"https://pith.science/pith/5ABV6CUGGNLS5W63EZA7BZ5QYU.json","view_paper":"https://pith.science/paper/5ABV6CUG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.4351&json=true","fetch_graph":"https://pith.science/api/pith-number/5ABV6CUGGNLS5W63EZA7BZ5QYU/graph.json","fetch_events":"https://pith.science/api/pith-number/5ABV6CUGGNLS5W63EZA7BZ5QYU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5ABV6CUGGNLS5W63EZA7BZ5QYU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5ABV6CUGGNLS5W63EZA7BZ5QYU/action/storage_attestation","attest_author":"https://pith.science/pith/5ABV6CUGGNLS5W63EZA7BZ5QYU/action/author_attestation","sign_citation":"https://pith.science/pith/5ABV6CUGGNLS5W63EZA7BZ5QYU/action/citation_signature","submit_replication":"https://pith.science/pith/5ABV6CUGGNLS5W63EZA7BZ5QYU/action/replication_record"}},"created_at":"2026-05-18T04:26:12.487783+00:00","updated_at":"2026-05-18T04:26:12.487783+00:00"}