{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VAAG4FGKOOD5QI4NV2S332HONO","short_pith_number":"pith:VAAG4FGK","canonical_record":{"source":{"id":"1406.4005","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-06-16T13:19:22Z","cross_cats_sorted":[],"title_canon_sha256":"6f254c601101f879302612542cee85bd07ddc63e2ffa0f149a7e1a21b7a81482","abstract_canon_sha256":"338f17a1fe085908c5ab63e967af39f5aeefd782432c782c22d31ab5aa9e1b4f"},"schema_version":"1.0"},"canonical_sha256":"a8006e14ca7387d8238daea5bde8ee6bb13e9b3ba0d280bbe640d4de01edacdf","source":{"kind":"arxiv","id":"1406.4005","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4005","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4005v2","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4005","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"pith_short_12","alias_value":"VAAG4FGKOOD5","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VAAG4FGKOOD5QI4N","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VAAG4FGK","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VAAG4FGKOOD5QI4NV2S332HONO","target":"record","payload":{"canonical_record":{"source":{"id":"1406.4005","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-06-16T13:19:22Z","cross_cats_sorted":[],"title_canon_sha256":"6f254c601101f879302612542cee85bd07ddc63e2ffa0f149a7e1a21b7a81482","abstract_canon_sha256":"338f17a1fe085908c5ab63e967af39f5aeefd782432c782c22d31ab5aa9e1b4f"},"schema_version":"1.0"},"canonical_sha256":"a8006e14ca7387d8238daea5bde8ee6bb13e9b3ba0d280bbe640d4de01edacdf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:02.967754Z","signature_b64":"X/jiFilZ+hYlQGdWiUcH101J2OvLMncoPi00R17ZzeKdirONCXEaqHN4Ru/wOtNPWFHDxuoq/ZCTQPVzOCEvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8006e14ca7387d8238daea5bde8ee6bb13e9b3ba0d280bbe640d4de01edacdf","last_reissued_at":"2026-05-18T02:49:02.967279Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:02.967279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.4005","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:49:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ut+GYYwv9wwpTqnlJpfy7zWCLy+B4AmYxpxaymp8WoCW1hT+RVL3CXGaCid+3FCNqg0s3RSzU4Im7OwLGMV9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:12:37.267784Z"},"content_sha256":"4826d1217e6ffa88464a64f126d6dbc5d5d53154ed243e3dd52a89a45c385780","schema_version":"1.0","event_id":"sha256:4826d1217e6ffa88464a64f126d6dbc5d5d53154ed243e3dd52a89a45c385780"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VAAG4FGKOOD5QI4NV2S332HONO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maintaining Contour Trees of Dynamic Terrains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Jungwoo Yang, Lars Arge, Morten Revsb{\\ae}k, Pankaj K. Agarwal, Thomas M{\\o}lhave","submitted_at":"2014-06-16T13:19:22Z","abstract_excerpt":"We consider maintaining the contour tree $\\mathbb{T}$ of a piecewise-linear triangulation $\\mathbb{M}$ that is the graph of a time varying height function $h: \\mathbb{R}^2 \\rightarrow \\mathbb{R}$. We carefully describe the combinatorial change in $\\mathbb{T}$ that happen as $h$ varies over time and how these changes relate to topological changes in $\\mathbb{M}$. We present a kinetic data structure that maintains the contour tree of $h$ over time. Our data structure maintains certificates that fail only when $h(v)=h(u)$ for two adjacent vertices $v$ and $u$ in $\\mathbb{M}$, or when two saddle v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4005","kind":"arxiv","version":2},"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":"2026-05-18T02:49:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TjWw2pEpSzOYZzz1Hg64Lmg38MBSfy4zEvMGOxYZFJDejBCMrbmdAy/Ivgt2xTWimLUMIfs7YfotQUzWuUocDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:12:37.268505Z"},"content_sha256":"83a272ccd4c52dafe45bf6e97be06efe0ba4db4c68889db12c9e4981b5258e7c","schema_version":"1.0","event_id":"sha256:83a272ccd4c52dafe45bf6e97be06efe0ba4db4c68889db12c9e4981b5258e7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VAAG4FGKOOD5QI4NV2S332HONO/bundle.json","state_url":"https://pith.science/pith/VAAG4FGKOOD5QI4NV2S332HONO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VAAG4FGKOOD5QI4NV2S332HONO/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":"2026-05-31T19:12:37Z","links":{"resolver":"https://pith.science/pith/VAAG4FGKOOD5QI4NV2S332HONO","bundle":"https://pith.science/pith/VAAG4FGKOOD5QI4NV2S332HONO/bundle.json","state":"https://pith.science/pith/VAAG4FGKOOD5QI4NV2S332HONO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VAAG4FGKOOD5QI4NV2S332HONO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VAAG4FGKOOD5QI4NV2S332HONO","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":"338f17a1fe085908c5ab63e967af39f5aeefd782432c782c22d31ab5aa9e1b4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-06-16T13:19:22Z","title_canon_sha256":"6f254c601101f879302612542cee85bd07ddc63e2ffa0f149a7e1a21b7a81482"},"schema_version":"1.0","source":{"id":"1406.4005","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4005","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4005v2","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4005","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"pith_short_12","alias_value":"VAAG4FGKOOD5","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VAAG4FGKOOD5QI4N","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VAAG4FGK","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:83a272ccd4c52dafe45bf6e97be06efe0ba4db4c68889db12c9e4981b5258e7c","target":"graph","created_at":"2026-05-18T02:49:02Z","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 consider maintaining the contour tree $\\mathbb{T}$ of a piecewise-linear triangulation $\\mathbb{M}$ that is the graph of a time varying height function $h: \\mathbb{R}^2 \\rightarrow \\mathbb{R}$. We carefully describe the combinatorial change in $\\mathbb{T}$ that happen as $h$ varies over time and how these changes relate to topological changes in $\\mathbb{M}$. We present a kinetic data structure that maintains the contour tree of $h$ over time. Our data structure maintains certificates that fail only when $h(v)=h(u)$ for two adjacent vertices $v$ and $u$ in $\\mathbb{M}$, or when two saddle v","authors_text":"Jungwoo Yang, Lars Arge, Morten Revsb{\\ae}k, Pankaj K. Agarwal, Thomas M{\\o}lhave","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-06-16T13:19:22Z","title":"Maintaining Contour Trees of Dynamic Terrains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4005","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":"sha256:4826d1217e6ffa88464a64f126d6dbc5d5d53154ed243e3dd52a89a45c385780","target":"record","created_at":"2026-05-18T02:49:02Z","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":"338f17a1fe085908c5ab63e967af39f5aeefd782432c782c22d31ab5aa9e1b4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-06-16T13:19:22Z","title_canon_sha256":"6f254c601101f879302612542cee85bd07ddc63e2ffa0f149a7e1a21b7a81482"},"schema_version":"1.0","source":{"id":"1406.4005","kind":"arxiv","version":2}},"canonical_sha256":"a8006e14ca7387d8238daea5bde8ee6bb13e9b3ba0d280bbe640d4de01edacdf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8006e14ca7387d8238daea5bde8ee6bb13e9b3ba0d280bbe640d4de01edacdf","first_computed_at":"2026-05-18T02:49:02.967279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:02.967279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X/jiFilZ+hYlQGdWiUcH101J2OvLMncoPi00R17ZzeKdirONCXEaqHN4Ru/wOtNPWFHDxuoq/ZCTQPVzOCEvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:02.967754Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.4005","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4826d1217e6ffa88464a64f126d6dbc5d5d53154ed243e3dd52a89a45c385780","sha256:83a272ccd4c52dafe45bf6e97be06efe0ba4db4c68889db12c9e4981b5258e7c"],"state_sha256":"38df31ecdb3ce99ebc609ac0bf97acbf490c1c55b659c372f9a6cd2de7b710a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yYDaCyqavrZKT94kWRIIsZTTF/wINudr5WqRRi0VxwiOal21TjMHPu4R8HcCwsPSrQIA08PRhWVDr/fhjOeDDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:12:37.272025Z","bundle_sha256":"a988c16715d18f34b5658a7cce5e3f2f138018eabc1d5ecb960108bc5ea0d8f0"}}