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We measure the average escaping ionising efficiency $\\langle f_{\\rm{esc}} \\xi_{\\rm{ion}}\\rangle$ of galaxies at $z=5$ implied by the mean level of ionisation in the intergalactic medium via the Lyman-$\\alpha$ forest. We use the fact that $\\dot{N}_{\\rm{ion}} = \\rho_{\\rm{UV}} f_{\\rm{esc}} \\xi_{\\rm{ion}}$, the product of the ionising out"},"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":"2409.08315","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2024-09-12T18:00:00Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"34e0e045dd7b99d3b60d731c858766aef01f6afda2e612c52d56e4f89b6fe4e7","abstract_canon_sha256":"becf87c127f4873bfd9bf3815cc02008f0ee8481679fdb90f1ee39d44d0bdb86"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:06:29.207267Z","signature_b64":"76zkws+N+nBEW9dHQobKlCv1QvY15LIJdcJippAkxXW86IZKT1RHtb5eps9xgita+XzxXk72T8XU96H1XIaoCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3210b42d5c96804714d5c33f8b16d6db2bd6d1113d1bc0ff86ee67a2d0d50c6","last_reissued_at":"2026-07-05T09:06:29.206790Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:06:29.206790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A measurement of the escaping ionising efficiency of galaxies at redshift 5","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"Frederick B. 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