{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4ZL5JMJE3PBDE4NEHX3FMQZO23","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":"4d025f903b52905a0c63cb48c9f9d328f7caa83c5c1bf271c55564a63906fb99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-11-05T21:01:10Z","title_canon_sha256":"b7c832bd9254930f3d8246f9ab8bf01b9b551a6bda4d81672a08e9ba3c977009"},"schema_version":"1.0","source":{"id":"1511.01909","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.01909","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"arxiv_version","alias_value":"1511.01909v4","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.01909","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"pith_short_12","alias_value":"4ZL5JMJE3PBD","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4ZL5JMJE3PBDE4NE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4ZL5JMJE","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:7a880947e81d10658b0ecf0ba60392f45b422ebc53b5e80938d309e223e8a80b","target":"graph","created_at":"2026-05-18T00:28:47Z","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":"The window function for protohalos in Lagrangian space is often assumed to be a tophat in real space. We measure this profile directly and find that it is more extended than a tophat but less extended than a Gaussian; its shape is well-described by rounding the edges of the tophat by convolution with a Gaussian that has a scale length about 5 times smaller. This effective window $W_{\\rm eff}$ is particularly simple in Fourier space, and has an analytic form in real space. Together with the excursion set bias parameters, $W_{\\rm eff}$ describes the scale-dependence of the Lagrangian halo-matter","authors_text":"Kwan Chuen Chan, Ravi K. Sheth, Roman Scoccimarro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-11-05T21:01:10Z","title":"Effective Window Function for Lagrangian Halos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.01909","kind":"arxiv","version":4},"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":"sha256:6ed342bead90f938ca8382277c6dee959152e4dabcebce5b0603d2c03ad25885","target":"record","created_at":"2026-05-18T00:28:47Z","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":"4d025f903b52905a0c63cb48c9f9d328f7caa83c5c1bf271c55564a63906fb99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-11-05T21:01:10Z","title_canon_sha256":"b7c832bd9254930f3d8246f9ab8bf01b9b551a6bda4d81672a08e9ba3c977009"},"schema_version":"1.0","source":{"id":"1511.01909","kind":"arxiv","version":4}},"canonical_sha256":"e657d4b124dbc23271a43df656432ed6d993904589970971a74b52d7245340df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e657d4b124dbc23271a43df656432ed6d993904589970971a74b52d7245340df","first_computed_at":"2026-05-18T00:28:47.250519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:47.250519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7JQfNp/Fu+Kti7UKpOloCCNI/sZMZsU4wD7vlP6oTgrKuq4iMp+EkZi+UceKbVSOtJLfzJJUTAus+NRpu1WPAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:47.251342Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.01909","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ed342bead90f938ca8382277c6dee959152e4dabcebce5b0603d2c03ad25885","sha256:7a880947e81d10658b0ecf0ba60392f45b422ebc53b5e80938d309e223e8a80b"],"state_sha256":"752fe8a737a68a190ee4a0bd0966acd6db709a0b608d5e0207457066f9b7bb60"}