{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MTA7O4UOQHQANRBFSBTLKDQNGT","short_pith_number":"pith:MTA7O4UO","schema_version":"1.0","canonical_sha256":"64c1f7728e81e006c4259066b50e0d34fe05fafffd7d15e72e0ece2695f3300f","source":{"kind":"arxiv","id":"1604.05504","version":3},"attestation_state":"computed","paper":{"title":"Polyhedral products, flag complexes and monodromy representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AT","authors_text":"Mentor Stafa","submitted_at":"2016-04-19T10:20:16Z","abstract_excerpt":"This article presents a machinery based on polyhedral products that produces faithful representations of graph products of finite groups and direct products of finite groups into automorphisms of free groups $\\rm Aut(F_n)$ and outer automorphisms of free groups $\\rm Out(F_n)$, respectively, as well as faithful representations of products of finite groups into the linear groups $\\rm SL(n,\\mathbb Z)$ and $\\rm GL(n,\\mathbb Z)$. These faithful representations are realized as monodromy representations."},"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":"1604.05504","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-19T10:20:16Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"e3eba3733dd5c8c81e8fb4a549bad5811ffb1aa63969b8bf08c8ef0c42f762a7","abstract_canon_sha256":"d4807a993e80bc0ba47dbac849b7ff18287f132be1f86ee10174b9a42a190209"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:08.088469Z","signature_b64":"BlQ+rZ4iIOraq9H6HfvT/jw8Z0bKxUkn61kQjf0Lonevv8hNlXSD8R1LT1CChEYTH2gNLekl95UKeCNsoopdCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64c1f7728e81e006c4259066b50e0d34fe05fafffd7d15e72e0ece2695f3300f","last_reissued_at":"2026-05-18T00:13:08.087851Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:08.087851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polyhedral products, flag complexes and monodromy representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AT","authors_text":"Mentor Stafa","submitted_at":"2016-04-19T10:20:16Z","abstract_excerpt":"This article presents a machinery based on polyhedral products that produces faithful representations of graph products of finite groups and direct products of finite groups into automorphisms of free groups $\\rm Aut(F_n)$ and outer automorphisms of free groups $\\rm Out(F_n)$, respectively, as well as faithful representations of products of finite groups into the linear groups $\\rm SL(n,\\mathbb Z)$ and $\\rm GL(n,\\mathbb Z)$. These faithful representations are realized as monodromy representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05504","kind":"arxiv","version":3},"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":"1604.05504","created_at":"2026-05-18T00:13:08.087935+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.05504v3","created_at":"2026-05-18T00:13:08.087935+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05504","created_at":"2026-05-18T00:13:08.087935+00:00"},{"alias_kind":"pith_short_12","alias_value":"MTA7O4UOQHQA","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MTA7O4UOQHQANRBF","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MTA7O4UO","created_at":"2026-05-18T12:30:32.724797+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/MTA7O4UOQHQANRBFSBTLKDQNGT","json":"https://pith.science/pith/MTA7O4UOQHQANRBFSBTLKDQNGT.json","graph_json":"https://pith.science/api/pith-number/MTA7O4UOQHQANRBFSBTLKDQNGT/graph.json","events_json":"https://pith.science/api/pith-number/MTA7O4UOQHQANRBFSBTLKDQNGT/events.json","paper":"https://pith.science/paper/MTA7O4UO"},"agent_actions":{"view_html":"https://pith.science/pith/MTA7O4UOQHQANRBFSBTLKDQNGT","download_json":"https://pith.science/pith/MTA7O4UOQHQANRBFSBTLKDQNGT.json","view_paper":"https://pith.science/paper/MTA7O4UO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.05504&json=true","fetch_graph":"https://pith.science/api/pith-number/MTA7O4UOQHQANRBFSBTLKDQNGT/graph.json","fetch_events":"https://pith.science/api/pith-number/MTA7O4UOQHQANRBFSBTLKDQNGT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MTA7O4UOQHQANRBFSBTLKDQNGT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MTA7O4UOQHQANRBFSBTLKDQNGT/action/storage_attestation","attest_author":"https://pith.science/pith/MTA7O4UOQHQANRBFSBTLKDQNGT/action/author_attestation","sign_citation":"https://pith.science/pith/MTA7O4UOQHQANRBFSBTLKDQNGT/action/citation_signature","submit_replication":"https://pith.science/pith/MTA7O4UOQHQANRBFSBTLKDQNGT/action/replication_record"}},"created_at":"2026-05-18T00:13:08.087935+00:00","updated_at":"2026-05-18T00:13:08.087935+00:00"}