{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:EJ4MPGW53EVCVK6LVILP7UB45L","short_pith_number":"pith:EJ4MPGW5","schema_version":"1.0","canonical_sha256":"2278c79addd92a2aabcbaa16ffd03ceaff6e256548fb9f3e99654bb1f6e502d9","source":{"kind":"arxiv","id":"1211.3783","version":2},"attestation_state":"computed","paper":{"title":"Bohr Density of Simple Linear Group Orbits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DS","authors_text":"Francois Ziegler, Roger Howe","submitted_at":"2012-11-16T01:21:32Z","abstract_excerpt":"We show that any nonzero orbit under a noncompact, simple, irreducible linear group is dense in the Bohr compactification of the ambient space."},"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":"1211.3783","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-11-16T01:21:32Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"84c29ae31ad470526a94e10754b99c1dd3c3828c2ee7f7897263d96b49c4645a","abstract_canon_sha256":"732b0f15864f70ad908c9a5483a798b711e526038c36283cb994e875054c349b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:18.283297Z","signature_b64":"xqVmR41aoe8BdFekrm4KK0UL+JcFcn/jV38yoyUsQmBnai1+dQW9Mg2gHN+oXHBEw0lMTbIQ4Kjzs7JdJchDCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2278c79addd92a2aabcbaa16ffd03ceaff6e256548fb9f3e99654bb1f6e502d9","last_reissued_at":"2026-05-17T23:53:18.282719Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:18.282719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bohr Density of Simple Linear Group Orbits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DS","authors_text":"Francois Ziegler, Roger Howe","submitted_at":"2012-11-16T01:21:32Z","abstract_excerpt":"We show that any nonzero orbit under a noncompact, simple, irreducible linear group is dense in the Bohr compactification of the ambient space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3783","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":"1211.3783","created_at":"2026-05-17T23:53:18.282794+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.3783v2","created_at":"2026-05-17T23:53:18.282794+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3783","created_at":"2026-05-17T23:53:18.282794+00:00"},{"alias_kind":"pith_short_12","alias_value":"EJ4MPGW53EVC","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"EJ4MPGW53EVCVK6L","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"EJ4MPGW5","created_at":"2026-05-18T12:27:04.183437+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/EJ4MPGW53EVCVK6LVILP7UB45L","json":"https://pith.science/pith/EJ4MPGW53EVCVK6LVILP7UB45L.json","graph_json":"https://pith.science/api/pith-number/EJ4MPGW53EVCVK6LVILP7UB45L/graph.json","events_json":"https://pith.science/api/pith-number/EJ4MPGW53EVCVK6LVILP7UB45L/events.json","paper":"https://pith.science/paper/EJ4MPGW5"},"agent_actions":{"view_html":"https://pith.science/pith/EJ4MPGW53EVCVK6LVILP7UB45L","download_json":"https://pith.science/pith/EJ4MPGW53EVCVK6LVILP7UB45L.json","view_paper":"https://pith.science/paper/EJ4MPGW5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.3783&json=true","fetch_graph":"https://pith.science/api/pith-number/EJ4MPGW53EVCVK6LVILP7UB45L/graph.json","fetch_events":"https://pith.science/api/pith-number/EJ4MPGW53EVCVK6LVILP7UB45L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EJ4MPGW53EVCVK6LVILP7UB45L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EJ4MPGW53EVCVK6LVILP7UB45L/action/storage_attestation","attest_author":"https://pith.science/pith/EJ4MPGW53EVCVK6LVILP7UB45L/action/author_attestation","sign_citation":"https://pith.science/pith/EJ4MPGW53EVCVK6LVILP7UB45L/action/citation_signature","submit_replication":"https://pith.science/pith/EJ4MPGW53EVCVK6LVILP7UB45L/action/replication_record"}},"created_at":"2026-05-17T23:53:18.282794+00:00","updated_at":"2026-05-17T23:53:18.282794+00:00"}