{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:JWQD6DUWDRC4TGD5UIWAXANYCF","short_pith_number":"pith:JWQD6DUW","canonical_record":{"source":{"id":"1002.1503","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-02-08T01:28:21Z","cross_cats_sorted":[],"title_canon_sha256":"c8e1aece1ad1f086f9df191d8bd27d972796ea96cd378824c86ce06fede04754","abstract_canon_sha256":"8aae29d3b0eb76e46b39e8a5cae36d35fc82d3fca35fbfd29a6a9bc23086dd33"},"schema_version":"1.0"},"canonical_sha256":"4da03f0e961c45c9987da22c0b81b8115186a8d21cf9eec061f4ad0aac333859","source":{"kind":"arxiv","id":"1002.1503","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.1503","created_at":"2026-05-18T02:09:18Z"},{"alias_kind":"arxiv_version","alias_value":"1002.1503v1","created_at":"2026-05-18T02:09:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1503","created_at":"2026-05-18T02:09:18Z"},{"alias_kind":"pith_short_12","alias_value":"JWQD6DUWDRC4","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JWQD6DUWDRC4TGD5","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JWQD6DUW","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:JWQD6DUWDRC4TGD5UIWAXANYCF","target":"record","payload":{"canonical_record":{"source":{"id":"1002.1503","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-02-08T01:28:21Z","cross_cats_sorted":[],"title_canon_sha256":"c8e1aece1ad1f086f9df191d8bd27d972796ea96cd378824c86ce06fede04754","abstract_canon_sha256":"8aae29d3b0eb76e46b39e8a5cae36d35fc82d3fca35fbfd29a6a9bc23086dd33"},"schema_version":"1.0"},"canonical_sha256":"4da03f0e961c45c9987da22c0b81b8115186a8d21cf9eec061f4ad0aac333859","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:18.487880Z","signature_b64":"MwgBPxNgpl+pYYwCFnB0rCM3IYkRtJciQxRTmuoyXGHGdK0pZtMVt9iPdxqNgsX5iDrXvSe8YWwKKNa4caoiAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4da03f0e961c45c9987da22c0b81b8115186a8d21cf9eec061f4ad0aac333859","last_reissued_at":"2026-05-18T02:09:18.486524Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:18.486524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.1503","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:09:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nTJPWOoMP4ffOR4JGXf340H1ArrbwZwtdiNZ1aM95En8Eqkb3XFHn3byGIQZaYIIRHdeySJglyloXTeaK+SXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:38:01.640658Z"},"content_sha256":"80d917a29aaccbd19b6d442d718ae844c18516279cac4486e7e9fe39fa88c59d","schema_version":"1.0","event_id":"sha256:80d917a29aaccbd19b6d442d718ae844c18516279cac4486e7e9fe39fa88c59d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:JWQD6DUWDRC4TGD5UIWAXANYCF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unfolding the Hierarchy of Voids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"A.S. Szalay, E. Platen, M.A. Aragon-Calvo, P. Araya-Melo, R. van de Weygaert","submitted_at":"2010-02-08T01:28:21Z","abstract_excerpt":"We present a framework for the hierarchical identification and characterization of voids based on the Watershed Void Finder. The Hierarchical Void Finder is based on a generalization of the scale space of a density field invoked in order to trace the hierarchical nature and structure of cosmological voids. At each level of the hierarchy, the watershed transform is used to identify the voids at that particular scale. By identifying the overlapping regions between watershed basins in adjacent levels, the hierarchical void tree is constructed. Applications on a hierarchical Voronoi model and on a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1503","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:09:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+OPE8/73ijhxpiIbtpY5phO4wTKkxZVWHG+ju9b3VZ8/xLLrUrIPqmsgJhAm123sW3gKGuVqkYv+5mm4YHegDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:38:01.640995Z"},"content_sha256":"35f2f53830074673008404ea9f60648ba053e01434573b090ae60c78477848d6","schema_version":"1.0","event_id":"sha256:35f2f53830074673008404ea9f60648ba053e01434573b090ae60c78477848d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JWQD6DUWDRC4TGD5UIWAXANYCF/bundle.json","state_url":"https://pith.science/pith/JWQD6DUWDRC4TGD5UIWAXANYCF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JWQD6DUWDRC4TGD5UIWAXANYCF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T20:38:01Z","links":{"resolver":"https://pith.science/pith/JWQD6DUWDRC4TGD5UIWAXANYCF","bundle":"https://pith.science/pith/JWQD6DUWDRC4TGD5UIWAXANYCF/bundle.json","state":"https://pith.science/pith/JWQD6DUWDRC4TGD5UIWAXANYCF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JWQD6DUWDRC4TGD5UIWAXANYCF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JWQD6DUWDRC4TGD5UIWAXANYCF","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":"8aae29d3b0eb76e46b39e8a5cae36d35fc82d3fca35fbfd29a6a9bc23086dd33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-02-08T01:28:21Z","title_canon_sha256":"c8e1aece1ad1f086f9df191d8bd27d972796ea96cd378824c86ce06fede04754"},"schema_version":"1.0","source":{"id":"1002.1503","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.1503","created_at":"2026-05-18T02:09:18Z"},{"alias_kind":"arxiv_version","alias_value":"1002.1503v1","created_at":"2026-05-18T02:09:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1503","created_at":"2026-05-18T02:09:18Z"},{"alias_kind":"pith_short_12","alias_value":"JWQD6DUWDRC4","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JWQD6DUWDRC4TGD5","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JWQD6DUW","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:35f2f53830074673008404ea9f60648ba053e01434573b090ae60c78477848d6","target":"graph","created_at":"2026-05-18T02:09:18Z","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":"We present a framework for the hierarchical identification and characterization of voids based on the Watershed Void Finder. The Hierarchical Void Finder is based on a generalization of the scale space of a density field invoked in order to trace the hierarchical nature and structure of cosmological voids. At each level of the hierarchy, the watershed transform is used to identify the voids at that particular scale. By identifying the overlapping regions between watershed basins in adjacent levels, the hierarchical void tree is constructed. Applications on a hierarchical Voronoi model and on a","authors_text":"A.S. Szalay, E. Platen, M.A. Aragon-Calvo, P. Araya-Melo, R. van de Weygaert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-02-08T01:28:21Z","title":"Unfolding the Hierarchy of Voids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1503","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":"sha256:80d917a29aaccbd19b6d442d718ae844c18516279cac4486e7e9fe39fa88c59d","target":"record","created_at":"2026-05-18T02:09:18Z","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":"8aae29d3b0eb76e46b39e8a5cae36d35fc82d3fca35fbfd29a6a9bc23086dd33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-02-08T01:28:21Z","title_canon_sha256":"c8e1aece1ad1f086f9df191d8bd27d972796ea96cd378824c86ce06fede04754"},"schema_version":"1.0","source":{"id":"1002.1503","kind":"arxiv","version":1}},"canonical_sha256":"4da03f0e961c45c9987da22c0b81b8115186a8d21cf9eec061f4ad0aac333859","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4da03f0e961c45c9987da22c0b81b8115186a8d21cf9eec061f4ad0aac333859","first_computed_at":"2026-05-18T02:09:18.486524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:18.486524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MwgBPxNgpl+pYYwCFnB0rCM3IYkRtJciQxRTmuoyXGHGdK0pZtMVt9iPdxqNgsX5iDrXvSe8YWwKKNa4caoiAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:18.487880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.1503","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80d917a29aaccbd19b6d442d718ae844c18516279cac4486e7e9fe39fa88c59d","sha256:35f2f53830074673008404ea9f60648ba053e01434573b090ae60c78477848d6"],"state_sha256":"56a53d3a33071d555cee839dfa075c2b9cfef61c4b1578d527cf83ca6f21ffc6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mchhPs6Q+9d1QTHXQbiW7rxYk0syVYg+4KQWE1+CsEEjXtrH5hY/EpFrub2Mo1S3fgjLSfdSK3exTrexKv2iDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:38:01.642942Z","bundle_sha256":"beb2f5b22bbe0a843a0c19c813cac975a5607428d7117f45d64a1e8f03a01183"}}