{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:N5ZQGNJ7AWKAUCDOL7ZCWD7Y2G","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":"e1d854e509ecce9e01c4cf49af9aef75a1c480308beb932a0152bb86efd9f275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-07-12T13:52:58Z","title_canon_sha256":"dbdcf1e1050a848755e1ca8eca763e05ea2f090fb510b41935497a693d7b1b20"},"schema_version":"1.0","source":{"id":"1007.1903","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.1903","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"arxiv_version","alias_value":"1007.1903v2","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1903","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"pith_short_12","alias_value":"N5ZQGNJ7AWKA","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"N5ZQGNJ7AWKAUCDO","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"N5ZQGNJ7","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:c760a93d1a0822667f011136f1ef5196c279c1f68ddf10c45ceaf24ff45c9033","target":"graph","created_at":"2026-05-18T04:16:52Z","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":"Excursion set theory, where density perturbations evolve stochastically with the smoothing scale, provides a method for computing the mass function of cosmological structures like dark matter halos, sheets and filaments. The computation of these mass functions is mapped into the so-called first-passage time problem in the presence of a moving barrier. In this paper we use the path integral formulation of the excursion set theory developed recently to analytically solve the first-passage time problem in the presence of a generic moving barrier, in particular the barrier corresponding to ellipso","authors_text":"Andrea De Simone, Antonio Riotto, Michele Maggiore","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-07-12T13:52:58Z","title":"Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1903","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":"sha256:9d7969cb600bdded776f2071de5e5d577de491a309451a77fa35fb621de0d62e","target":"record","created_at":"2026-05-18T04:16:52Z","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":"e1d854e509ecce9e01c4cf49af9aef75a1c480308beb932a0152bb86efd9f275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-07-12T13:52:58Z","title_canon_sha256":"dbdcf1e1050a848755e1ca8eca763e05ea2f090fb510b41935497a693d7b1b20"},"schema_version":"1.0","source":{"id":"1007.1903","kind":"arxiv","version":2}},"canonical_sha256":"6f7303353f05940a086e5ff22b0ff8d19210b2065941765934eff2c28ac66857","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f7303353f05940a086e5ff22b0ff8d19210b2065941765934eff2c28ac66857","first_computed_at":"2026-05-18T04:16:52.421072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:52.421072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"717djPH6cObxTUSkG08CJ4Vs5AXo7XiGgikkAPbOadKV/6Ng/8ZgILmUD2cp0dB9bkzoND+ZOHlDETpXZ6NKDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:52.421719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.1903","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d7969cb600bdded776f2071de5e5d577de491a309451a77fa35fb621de0d62e","sha256:c760a93d1a0822667f011136f1ef5196c279c1f68ddf10c45ceaf24ff45c9033"],"state_sha256":"ef991196675411b41c13c41b81c0c83abed4a37d2ffc5df8316ae045d7af980b"}