{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RJZ5IBPDK35ZQMLEXYEOPFCRZL","short_pith_number":"pith:RJZ5IBPD","schema_version":"1.0","canonical_sha256":"8a73d405e356fb983164be08e79451cae6f8f48adfb596cb05a79ac43dc34776","source":{"kind":"arxiv","id":"1502.03999","version":1},"attestation_state":"computed","paper":{"title":"Irreducible representations of knot groups into SL(n,C)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Leila Ben Abdelghani, Michael Heusener","submitted_at":"2015-02-13T14:23:26Z","abstract_excerpt":"The aim of this article is to study the existence of certain reducible, metabelian representations of knot groups into $\\mathrm{SL}(n,\\mathbf{C})$ which generalise the representations studied previously  by G.~Burde and G.~de Rham. Under specific hypotheses we prove  the existence of irreducible deformations of such representations of knot groups into $\\mathrm{SL}(n,\\mathbf{C})$."},"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":"1502.03999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-02-13T14:23:26Z","cross_cats_sorted":[],"title_canon_sha256":"52e0eb2b4b8987d5360c0992cd7456fe192ca406538c4fadec34c82a888757bd","abstract_canon_sha256":"52e01438f3ffc31a56f05f12f28dcb04cb9b40c683568b74101d062985d9b126"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:06.757246Z","signature_b64":"Vv3AoE2rxFSlLPNiBgxw3VbHFujngYgiymTpLmV9J11JQ1wvHhDFkwaYe5Mgp+T289dBZhcqg+838WWAAtPkBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a73d405e356fb983164be08e79451cae6f8f48adfb596cb05a79ac43dc34776","last_reissued_at":"2026-05-18T02:27:06.756570Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:06.756570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Irreducible representations of knot groups into SL(n,C)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Leila Ben Abdelghani, Michael Heusener","submitted_at":"2015-02-13T14:23:26Z","abstract_excerpt":"The aim of this article is to study the existence of certain reducible, metabelian representations of knot groups into $\\mathrm{SL}(n,\\mathbf{C})$ which generalise the representations studied previously  by G.~Burde and G.~de Rham. Under specific hypotheses we prove  the existence of irreducible deformations of such representations of knot groups into $\\mathrm{SL}(n,\\mathbf{C})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03999","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":"1502.03999","created_at":"2026-05-18T02:27:06.756686+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.03999v1","created_at":"2026-05-18T02:27:06.756686+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03999","created_at":"2026-05-18T02:27:06.756686+00:00"},{"alias_kind":"pith_short_12","alias_value":"RJZ5IBPDK35Z","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RJZ5IBPDK35ZQMLE","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RJZ5IBPD","created_at":"2026-05-18T12:29:39.896362+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/RJZ5IBPDK35ZQMLEXYEOPFCRZL","json":"https://pith.science/pith/RJZ5IBPDK35ZQMLEXYEOPFCRZL.json","graph_json":"https://pith.science/api/pith-number/RJZ5IBPDK35ZQMLEXYEOPFCRZL/graph.json","events_json":"https://pith.science/api/pith-number/RJZ5IBPDK35ZQMLEXYEOPFCRZL/events.json","paper":"https://pith.science/paper/RJZ5IBPD"},"agent_actions":{"view_html":"https://pith.science/pith/RJZ5IBPDK35ZQMLEXYEOPFCRZL","download_json":"https://pith.science/pith/RJZ5IBPDK35ZQMLEXYEOPFCRZL.json","view_paper":"https://pith.science/paper/RJZ5IBPD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.03999&json=true","fetch_graph":"https://pith.science/api/pith-number/RJZ5IBPDK35ZQMLEXYEOPFCRZL/graph.json","fetch_events":"https://pith.science/api/pith-number/RJZ5IBPDK35ZQMLEXYEOPFCRZL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RJZ5IBPDK35ZQMLEXYEOPFCRZL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RJZ5IBPDK35ZQMLEXYEOPFCRZL/action/storage_attestation","attest_author":"https://pith.science/pith/RJZ5IBPDK35ZQMLEXYEOPFCRZL/action/author_attestation","sign_citation":"https://pith.science/pith/RJZ5IBPDK35ZQMLEXYEOPFCRZL/action/citation_signature","submit_replication":"https://pith.science/pith/RJZ5IBPDK35ZQMLEXYEOPFCRZL/action/replication_record"}},"created_at":"2026-05-18T02:27:06.756686+00:00","updated_at":"2026-05-18T02:27:06.756686+00:00"}