{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TJKYIJZWBEUPINO4R4J4IALE5H","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"eb411dbde1918b6e0ccd22c9d4a3edee4788c9a26aaa2f7b80ab3c74a82be97c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-06-20T00:23:03Z","title_canon_sha256":"6eb47b92cc9846122ecfa23b2004de06e8b96fd89622b72669ca7385c943eadf"},"schema_version":"1.0","source":{"id":"1606.05930","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05930","created_at":"2026-05-18T00:49:16Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05930v2","created_at":"2026-05-18T00:49:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05930","created_at":"2026-05-18T00:49:16Z"},{"alias_kind":"pith_short_12","alias_value":"TJKYIJZWBEUP","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TJKYIJZWBEUPINO4","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TJKYIJZW","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:45203f4dc3f0247276df80971365b019fd2ae4ed82559019b40bcacc14b31e82","target":"graph","created_at":"2026-05-18T00:49:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"An analysis of the physics-rich endgame of reionization at $z=5.7$ is performed, utilizing jointly the observations of the Ly$\\alpha$ forest, the mean free path of ionizing photons, the luminosity function of galaxies and new physical insight. We find that an upper limit on ${\\rm \\tau_e}$ provides a constraint on the minimum mean free path (of ionizing photons) that is primarily due to dwarf galaxies, which in turn yields a new and yet the strongest constraint on the matter power spectrum on $10^6-10^9M_\\odot$ scales. With the latest Planck measurements of ${\\rm \\tau_e = 0.055 \\pm 0.009}$, we ","authors_text":"Renyue Cen (Princeton University)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-06-20T00:23:03Z","title":"Constraint on Matter Power Spectrum on $10^6-10^9M_\\odot$ Scales from ${\\large\\tau_e}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05930","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:770155453ba29fea627ec3511d85150c7ba1527bba1e996b86f715dc78c83576","target":"record","created_at":"2026-05-18T00:49:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"eb411dbde1918b6e0ccd22c9d4a3edee4788c9a26aaa2f7b80ab3c74a82be97c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-06-20T00:23:03Z","title_canon_sha256":"6eb47b92cc9846122ecfa23b2004de06e8b96fd89622b72669ca7385c943eadf"},"schema_version":"1.0","source":{"id":"1606.05930","kind":"arxiv","version":2}},"canonical_sha256":"9a558427360928f435dc8f13c40164e9d5802c2a0a9e4600b90eb1a07e7d854d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a558427360928f435dc8f13c40164e9d5802c2a0a9e4600b90eb1a07e7d854d","first_computed_at":"2026-05-18T00:49:16.832654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:16.832654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5769cGWeo0OMpBU3a9woivfXMzbX/n9Kqfu8scuUP0YjjOFdbRIA3sM3Gf4E+ojwBXDYtOeY5kRcVRi8vAFUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:16.833052Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05930","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:770155453ba29fea627ec3511d85150c7ba1527bba1e996b86f715dc78c83576","sha256:45203f4dc3f0247276df80971365b019fd2ae4ed82559019b40bcacc14b31e82"],"state_sha256":"7db321cb925d6d4dd5778e6b1dcc3186f7a37bf38d86f1b4bf721a5b1d9fa0fa"}