{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JZOVKG3U2V6YZTZ2VXU3LFHCJF","short_pith_number":"pith:JZOVKG3U","canonical_record":{"source":{"id":"1406.0089","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-31T16:02:54Z","cross_cats_sorted":["cs.CE","cs.MS"],"title_canon_sha256":"af360ca4e4b4f98601c1be22bf50e8afe0e2ba5c635837ad7e72535545b44f49","abstract_canon_sha256":"87d3dd7882e860f0e745d43d8b97f6d44740ba2d1a0767a7d20b063a879d3535"},"schema_version":"1.0"},"canonical_sha256":"4e5d551b74d57d8ccf3aade9b594e24967b31c2d0cef88703d0dfd46d85e5854","source":{"kind":"arxiv","id":"1406.0089","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0089","created_at":"2026-05-18T01:27:54Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0089v3","created_at":"2026-05-18T01:27:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0089","created_at":"2026-05-18T01:27:54Z"},{"alias_kind":"pith_short_12","alias_value":"JZOVKG3U2V6Y","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JZOVKG3U2V6YZTZ2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JZOVKG3U","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JZOVKG3U2V6YZTZ2VXU3LFHCJF","target":"record","payload":{"canonical_record":{"source":{"id":"1406.0089","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-31T16:02:54Z","cross_cats_sorted":["cs.CE","cs.MS"],"title_canon_sha256":"af360ca4e4b4f98601c1be22bf50e8afe0e2ba5c635837ad7e72535545b44f49","abstract_canon_sha256":"87d3dd7882e860f0e745d43d8b97f6d44740ba2d1a0767a7d20b063a879d3535"},"schema_version":"1.0"},"canonical_sha256":"4e5d551b74d57d8ccf3aade9b594e24967b31c2d0cef88703d0dfd46d85e5854","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:54.713541Z","signature_b64":"6l1BoFbNYaagX1UPIWKQZus1ZGnPbKoueEsWZgvU4AvkAA2hwX09kc1kVd1Vrk08ngfhJX4T3/lfwg0Jw9zHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e5d551b74d57d8ccf3aade9b594e24967b31c2d0cef88703d0dfd46d85e5854","last_reissued_at":"2026-05-18T01:27:54.712618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:54.712618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.0089","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:27:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z8YaSGnyL/mtRRoo4ixJs1hinVbSf+PPYEPm1fXCA6UK4bbmffpVVlxdRTCxMpm12R+GkfecodBxd//z7FfPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:26:35.261276Z"},"content_sha256":"39176a6bdea40a6ea9f689a986bf038dece45583221d41a40d9780431ea95d23","schema_version":"1.0","event_id":"sha256:39176a6bdea40a6ea9f689a986bf038dece45583221d41a40d9780431ea95d23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JZOVKG3U2V6YZTZ2VXU3LFHCJF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Recursive Algorithms for Distributed Forests of Octrees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","cs.MS"],"primary_cat":"cs.DC","authors_text":"Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas, Tobin Isaac","submitted_at":"2014-05-31T16:02:54Z","abstract_excerpt":"The forest-of-octrees approach to parallel adaptive mesh refinement and coarsening (AMR) has recently been demonstrated in the context of a number of large-scale PDE-based applications. Although linear octrees, which store only leaf octants, have an underlying tree structure by definition, it is not often exploited in previously published mesh-related algorithms. This is because the branches are not explicitly stored, and because the topological relationships in meshes, such as the adjacency between cells, introduce dependencies that do not respect the octree hierarchy. In this work we combine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0089","kind":"arxiv","version":3},"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":"2026-05-18T01:27:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4T/fsxbgJzKCK2mXZeumLGbR0V3Rjow+jK77KBudvmYWFnu6az+29lgHQuHfvu/TpX2KFlLLyghDQFS9OvD4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:26:35.261928Z"},"content_sha256":"f3dd44d313a3483b4a80e0492be5224ad3580fccdf37df24f96f38d5772f0293","schema_version":"1.0","event_id":"sha256:f3dd44d313a3483b4a80e0492be5224ad3580fccdf37df24f96f38d5772f0293"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JZOVKG3U2V6YZTZ2VXU3LFHCJF/bundle.json","state_url":"https://pith.science/pith/JZOVKG3U2V6YZTZ2VXU3LFHCJF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JZOVKG3U2V6YZTZ2VXU3LFHCJF/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":"2026-05-26T06:26:35Z","links":{"resolver":"https://pith.science/pith/JZOVKG3U2V6YZTZ2VXU3LFHCJF","bundle":"https://pith.science/pith/JZOVKG3U2V6YZTZ2VXU3LFHCJF/bundle.json","state":"https://pith.science/pith/JZOVKG3U2V6YZTZ2VXU3LFHCJF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JZOVKG3U2V6YZTZ2VXU3LFHCJF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JZOVKG3U2V6YZTZ2VXU3LFHCJF","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":"87d3dd7882e860f0e745d43d8b97f6d44740ba2d1a0767a7d20b063a879d3535","cross_cats_sorted":["cs.CE","cs.MS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-31T16:02:54Z","title_canon_sha256":"af360ca4e4b4f98601c1be22bf50e8afe0e2ba5c635837ad7e72535545b44f49"},"schema_version":"1.0","source":{"id":"1406.0089","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0089","created_at":"2026-05-18T01:27:54Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0089v3","created_at":"2026-05-18T01:27:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0089","created_at":"2026-05-18T01:27:54Z"},{"alias_kind":"pith_short_12","alias_value":"JZOVKG3U2V6Y","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JZOVKG3U2V6YZTZ2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JZOVKG3U","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:f3dd44d313a3483b4a80e0492be5224ad3580fccdf37df24f96f38d5772f0293","target":"graph","created_at":"2026-05-18T01:27:54Z","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 forest-of-octrees approach to parallel adaptive mesh refinement and coarsening (AMR) has recently been demonstrated in the context of a number of large-scale PDE-based applications. Although linear octrees, which store only leaf octants, have an underlying tree structure by definition, it is not often exploited in previously published mesh-related algorithms. This is because the branches are not explicitly stored, and because the topological relationships in meshes, such as the adjacency between cells, introduce dependencies that do not respect the octree hierarchy. In this work we combine","authors_text":"Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas, Tobin Isaac","cross_cats":["cs.CE","cs.MS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-31T16:02:54Z","title":"Recursive Algorithms for Distributed Forests of Octrees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0089","kind":"arxiv","version":3},"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":"sha256:39176a6bdea40a6ea9f689a986bf038dece45583221d41a40d9780431ea95d23","target":"record","created_at":"2026-05-18T01:27:54Z","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":"87d3dd7882e860f0e745d43d8b97f6d44740ba2d1a0767a7d20b063a879d3535","cross_cats_sorted":["cs.CE","cs.MS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-31T16:02:54Z","title_canon_sha256":"af360ca4e4b4f98601c1be22bf50e8afe0e2ba5c635837ad7e72535545b44f49"},"schema_version":"1.0","source":{"id":"1406.0089","kind":"arxiv","version":3}},"canonical_sha256":"4e5d551b74d57d8ccf3aade9b594e24967b31c2d0cef88703d0dfd46d85e5854","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e5d551b74d57d8ccf3aade9b594e24967b31c2d0cef88703d0dfd46d85e5854","first_computed_at":"2026-05-18T01:27:54.712618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:54.712618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6l1BoFbNYaagX1UPIWKQZus1ZGnPbKoueEsWZgvU4AvkAA2hwX09kc1kVd1Vrk08ngfhJX4T3/lfwg0Jw9zHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:54.713541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0089","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39176a6bdea40a6ea9f689a986bf038dece45583221d41a40d9780431ea95d23","sha256:f3dd44d313a3483b4a80e0492be5224ad3580fccdf37df24f96f38d5772f0293"],"state_sha256":"5a03822b73beb6cc014674e6a35373d333600b3c9b07065841dac73718bb31af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"amWjkFlDVN2JmFOvIPkN2P8gPQha/f8XVVr2x1gInvLSt9UC4wCQGWgkS5vjqn09uX7dVUPZflbZST9N4gwqCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T06:26:35.265471Z","bundle_sha256":"1194484af7f26b1c9d01a0147f10960ecabbbb3e7d07e2c7b9034f90cbaf4259"}}