{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2CTDEUVTKBZFGTXZG63BSGVVE3","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":"92eb49e1966e74b7c112fde5cb9dcae397350e5cb64a7c79ebe48ea66bb5ebca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-03-01T17:09:09Z","title_canon_sha256":"aa72b401bcab378374bd6248fe7aaf7e3d208f57f1e06a187789912b662e7a88"},"schema_version":"1.0","source":{"id":"1203.0248","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0248","created_at":"2026-05-18T01:58:16Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0248v1","created_at":"2026-05-18T01:58:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0248","created_at":"2026-05-18T01:58:16Z"},{"alias_kind":"pith_short_12","alias_value":"2CTDEUVTKBZF","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2CTDEUVTKBZFGTXZ","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2CTDEUVT","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:935e0a3bc43245508185b079a6213134dbf123a1e912944d21caccda27ff09b5","target":"graph","created_at":"2026-05-18T01:58:16Z","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":"Contrary to the common view voids have very complex internal structure and dynamics. Here we show how the hierarchy of structures in the density field inside voids is reflected by a similar hierarchy of structures in the velocity field. Voids defined by dense filaments and clusters can de described as simple expanding domains with coherent flows everywhere except at their boundaries. At scales smaller that the void radius the velocity field breaks into expanding sub-domains corresponding to sub- voids. These sub-domains break into even smaller sub-sub domains at smaller scales resulting in a n","authors_text":"A. S. Szalay, M. A. Aragon-Calvo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-03-01T17:09:09Z","title":"The Hierarchical Structure and Dynamics of Voids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0248","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:fb411bd0eb29878a1d4b9e0dff0f991491a7dd96ebf3406499fc04e45b5d312f","target":"record","created_at":"2026-05-18T01:58:16Z","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":"92eb49e1966e74b7c112fde5cb9dcae397350e5cb64a7c79ebe48ea66bb5ebca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-03-01T17:09:09Z","title_canon_sha256":"aa72b401bcab378374bd6248fe7aaf7e3d208f57f1e06a187789912b662e7a88"},"schema_version":"1.0","source":{"id":"1203.0248","kind":"arxiv","version":1}},"canonical_sha256":"d0a63252b35072534ef937b6191ab526cf350ee48fc8cdd1033c1e64f892984b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0a63252b35072534ef937b6191ab526cf350ee48fc8cdd1033c1e64f892984b","first_computed_at":"2026-05-18T01:58:16.091536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:16.091536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bDsR/JQ45gj72p7GZKisEnGkm5lXnPUnApfE87pBhkpi3yB8gxrA/7gNKEtOVpkRKWTrVpBM7T7sYrY4EX+uAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:16.092215Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.0248","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb411bd0eb29878a1d4b9e0dff0f991491a7dd96ebf3406499fc04e45b5d312f","sha256:935e0a3bc43245508185b079a6213134dbf123a1e912944d21caccda27ff09b5"],"state_sha256":"06e7f86ecfba827b34693fa823a7674eeaf9247f568ca4b16d0ce28fb3b55c73"}