{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:AQXDGUI6TAEMOVDSX7KI2EZOWO","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":"12da3b79382df702dd47f16e53a193865840270346418ca8ccd35276e7e5e909","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-12-22T17:55:20Z","title_canon_sha256":"92c540a46fe5d870e0aaeb15b393401d86c698cdd61f2f2bacc7e021c875dac6"},"schema_version":"1.0","source":{"id":"0912.4471","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.4471","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"arxiv_version","alias_value":"0912.4471v1","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.4471","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"pith_short_12","alias_value":"AQXDGUI6TAEM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AQXDGUI6TAEMOVDS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AQXDGUI6","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:73cd4bde7710e355733e2b734a05dec63b46dade0de6e9a09cf23309ea93cdc0","target":"graph","created_at":"2026-05-18T02:33:55Z","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 large-scale structure of the Universe, as traced by the distribution of galaxies, is now being revealed by large-volume cosmological surveys. The structure is characterized by galaxies distributed along filaments, the filaments connecting in turn to form a percolating network. Our objective here is to quantitatively specify the underlying mechanisms that drive the formation of the cosmic network: By combining percolation-based analyses with N-body simulations of gravitational structure formation, we elucidate how the network has its origin in the properties of the initial density field (na","authors_text":"Katrin Heitmann, Salman Habib, Sergei Shandarin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-12-22T17:55:20Z","title":"Origin of the Cosmic Network: Nature vs Nurture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.4471","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":"sha256:1d1c3263a0268b7b49c2599e9259bcca4000d30bbaa5693c72807bf375a16246","target":"record","created_at":"2026-05-18T02:33:55Z","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":"12da3b79382df702dd47f16e53a193865840270346418ca8ccd35276e7e5e909","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-12-22T17:55:20Z","title_canon_sha256":"92c540a46fe5d870e0aaeb15b393401d86c698cdd61f2f2bacc7e021c875dac6"},"schema_version":"1.0","source":{"id":"0912.4471","kind":"arxiv","version":1}},"canonical_sha256":"042e33511e9808c75472bfd48d132eb39990433799279ec0efb485b82876b1de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"042e33511e9808c75472bfd48d132eb39990433799279ec0efb485b82876b1de","first_computed_at":"2026-05-18T02:33:55.600713Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:55.600713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jluOYD8cmMDVwaxXt/pCnNtlXVhCwzCR/Ei4B8as6n1PrROYLihjWfpiFod+jF8WceSUBNFcio/h2EoLY8s+Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:55.601224Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.4471","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d1c3263a0268b7b49c2599e9259bcca4000d30bbaa5693c72807bf375a16246","sha256:73cd4bde7710e355733e2b734a05dec63b46dade0de6e9a09cf23309ea93cdc0"],"state_sha256":"d25caab61fe6a6eb3356cb5126895f65a7fa11b228e8bd45eb4f3f661d21afb7"}