{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3OBTDZ2BMHXWM4B3Z5L26R5GTH","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":"bf460209f91d4ffa1b197aea842c337f50104b5c39e9b692962fa58140c74c9e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-28T17:32:56Z","title_canon_sha256":"933e0ae86410c2e976c31e3520e81f7e780de42c779fcd7412387dd2f224fbe9"},"schema_version":"1.0","source":{"id":"2607.26021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.26021","created_at":"2026-07-29T01:26:20Z"},{"alias_kind":"arxiv_version","alias_value":"2607.26021v1","created_at":"2026-07-29T01:26:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26021","created_at":"2026-07-29T01:26:20Z"},{"alias_kind":"pith_short_12","alias_value":"3OBTDZ2BMHXW","created_at":"2026-07-29T01:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"3OBTDZ2BMHXWM4B3","created_at":"2026-07-29T01:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"3OBTDZ2B","created_at":"2026-07-29T01:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:22573f678cef3cc9e47d7bd95b6434aa83f5714e975a1b4ec8328a275db0ceba","target":"graph","created_at":"2026-07-29T01:26:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.26021/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The morphology of the cosmic web formed by the late-time matter distribution encodes cosmological information beyond that contained in standard two-point statistics. Marked power spectra provide a computationally efficient framework to access this higher-order information, by studying the two-point statistics of the density field ``marked'' (i.e. weighted) by a function of its local environmental density. In this work we explore the potential of marks that are sensitive to the morphology of this local environment, rather than simply its density. We study a broad range of such marks, considerin","authors_text":"David Alonso, Javier Carr\\'on Duque, Jessica A. Cowell, Juan Garc\\'ia-Bellido, Mikel Martin Barandiaran","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-28T17:32:56Z","title":"Weighted Webs: Morphology-Informed Marked Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26021","kind":"arxiv","version":1},"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":"sha256:2b685e0c6d10dc4d28567511df9a70f3abda025ea117bb83c0b78f0f7ea64353","target":"record","created_at":"2026-07-29T01:26:20Z","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":"bf460209f91d4ffa1b197aea842c337f50104b5c39e9b692962fa58140c74c9e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-28T17:32:56Z","title_canon_sha256":"933e0ae86410c2e976c31e3520e81f7e780de42c779fcd7412387dd2f224fbe9"},"schema_version":"1.0","source":{"id":"2607.26021","kind":"arxiv","version":1}},"canonical_sha256":"db8331e74161ef66703bcf57af47a699ff6c1034299cd5ed6819e7f0ef37e088","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db8331e74161ef66703bcf57af47a699ff6c1034299cd5ed6819e7f0ef37e088","first_computed_at":"2026-07-29T01:26:20.187884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T01:26:20.187884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mFi0gy6dRHSdghj9qZ4kw7GS8JnU0VsK+hASpwjFjsdbYJnzsAV+YO9Crz7OnQcUGCrTwIRaAIPo2BuXMh4SDw==","signature_status":"signed_v1","signed_at":"2026-07-29T01:26:20.188762Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.26021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b685e0c6d10dc4d28567511df9a70f3abda025ea117bb83c0b78f0f7ea64353","sha256:22573f678cef3cc9e47d7bd95b6434aa83f5714e975a1b4ec8328a275db0ceba"],"state_sha256":"f8bc7530b149097134817b7fa5cd9dfb201166e0acbd4c87dddfb41c5c4ed80a"}