{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LIT6NW6CMWZCMRB4CCEEWCHBLZ","short_pith_number":"pith:LIT6NW6C","canonical_record":{"source":{"id":"1808.10738","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-08-31T13:49:44Z","cross_cats_sorted":["cs.DS","math.CO"],"title_canon_sha256":"2ce4a8738ed42aa0ec38270279080254c9fd11bd6421cd50996ced8b87badc2d","abstract_canon_sha256":"cd3b201d8513666095e4b8c063a6e61ace9e900bce7b425b161b46d5b52a0e4a"},"schema_version":"1.0"},"canonical_sha256":"5a27e6dbc265b226443c10884b08e15e49404a21b3cfc210eefd8d79d47859c9","source":{"kind":"arxiv","id":"1808.10738","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.10738","created_at":"2026-05-18T00:06:36Z"},{"alias_kind":"arxiv_version","alias_value":"1808.10738v2","created_at":"2026-05-18T00:06:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.10738","created_at":"2026-05-18T00:06:36Z"},{"alias_kind":"pith_short_12","alias_value":"LIT6NW6CMWZC","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LIT6NW6CMWZCMRB4","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LIT6NW6C","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LIT6NW6CMWZCMRB4CCEEWCHBLZ","target":"record","payload":{"canonical_record":{"source":{"id":"1808.10738","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-08-31T13:49:44Z","cross_cats_sorted":["cs.DS","math.CO"],"title_canon_sha256":"2ce4a8738ed42aa0ec38270279080254c9fd11bd6421cd50996ced8b87badc2d","abstract_canon_sha256":"cd3b201d8513666095e4b8c063a6e61ace9e900bce7b425b161b46d5b52a0e4a"},"schema_version":"1.0"},"canonical_sha256":"5a27e6dbc265b226443c10884b08e15e49404a21b3cfc210eefd8d79d47859c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:36.448891Z","signature_b64":"hkWhQ4rJOEeCQAT9ocsvM+D1qUHwmWP9WutCfZYYBsujXlWPy9qUNRvy/qKpu8SE/7Ac2k8GMQx6nbMZE5uQCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a27e6dbc265b226443c10884b08e15e49404a21b3cfc210eefd8d79d47859c9","last_reissued_at":"2026-05-18T00:06:36.448407Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:36.448407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.10738","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":"2026-05-18T00:06:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wiY3zZXjWLjZFW/gHtT/JhqHBzuyA+RcDyhvMW+ffBqJVvYCI+F9AIf2WlyyIK1HBQznF18naLjRn2MarQDQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:42:57.157939Z"},"content_sha256":"001b34d9da9dad040586586c1ace0e84a71e420890d73145ab77d4377a4b5aba","schema_version":"1.0","event_id":"sha256:001b34d9da9dad040586586c1ace0e84a71e420890d73145ab77d4377a4b5aba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LIT6NW6CMWZCMRB4CCEEWCHBLZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pole Dancing: 3D Morphs for Tree Drawings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","math.CO"],"primary_cat":"cs.CG","authors_text":"Alessandra Tappini, Anthony D'Angelo, Elena Arseneva, Fabrizio Frati, Pilar Cano, Prosenjit Bose, Stefan Langerman, Vida Dujmovic","submitted_at":"2018-08-31T13:49:44Z","abstract_excerpt":"We study the question whether a crossing-free 3D morph between two straight-line drawings of an $n$-vertex tree can be constructed consisting of a small number of linear morphing steps. We look both at the case in which the two given drawings are two-dimensional and at the one in which they are three-dimensional. In the former setting we prove that a crossing-free 3D morph always exists with $O(\\log n)$ steps, while for the latter $\\Theta(n)$ steps are always sufficient and sometimes necessary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10738","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":"2026-05-18T00:06:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JwHNWHHeujp3Tdcq+FdyJnjwYpvI9EWMw5jYHG6pdo3Gjh3DEy552EGBMCUCDq3R9Ob8J4o0eLYaHXV2geWdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:42:57.158551Z"},"content_sha256":"38fcbcb6c63e968f97d6dca59480c2b5ccb8f5f39e6c31b3859fef13806ced43","schema_version":"1.0","event_id":"sha256:38fcbcb6c63e968f97d6dca59480c2b5ccb8f5f39e6c31b3859fef13806ced43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LIT6NW6CMWZCMRB4CCEEWCHBLZ/bundle.json","state_url":"https://pith.science/pith/LIT6NW6CMWZCMRB4CCEEWCHBLZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LIT6NW6CMWZCMRB4CCEEWCHBLZ/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":"2026-05-25T12:42:57Z","links":{"resolver":"https://pith.science/pith/LIT6NW6CMWZCMRB4CCEEWCHBLZ","bundle":"https://pith.science/pith/LIT6NW6CMWZCMRB4CCEEWCHBLZ/bundle.json","state":"https://pith.science/pith/LIT6NW6CMWZCMRB4CCEEWCHBLZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LIT6NW6CMWZCMRB4CCEEWCHBLZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LIT6NW6CMWZCMRB4CCEEWCHBLZ","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":"cd3b201d8513666095e4b8c063a6e61ace9e900bce7b425b161b46d5b52a0e4a","cross_cats_sorted":["cs.DS","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-08-31T13:49:44Z","title_canon_sha256":"2ce4a8738ed42aa0ec38270279080254c9fd11bd6421cd50996ced8b87badc2d"},"schema_version":"1.0","source":{"id":"1808.10738","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.10738","created_at":"2026-05-18T00:06:36Z"},{"alias_kind":"arxiv_version","alias_value":"1808.10738v2","created_at":"2026-05-18T00:06:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.10738","created_at":"2026-05-18T00:06:36Z"},{"alias_kind":"pith_short_12","alias_value":"LIT6NW6CMWZC","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LIT6NW6CMWZCMRB4","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LIT6NW6C","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:38fcbcb6c63e968f97d6dca59480c2b5ccb8f5f39e6c31b3859fef13806ced43","target":"graph","created_at":"2026-05-18T00:06:36Z","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 study the question whether a crossing-free 3D morph between two straight-line drawings of an $n$-vertex tree can be constructed consisting of a small number of linear morphing steps. We look both at the case in which the two given drawings are two-dimensional and at the one in which they are three-dimensional. In the former setting we prove that a crossing-free 3D morph always exists with $O(\\log n)$ steps, while for the latter $\\Theta(n)$ steps are always sufficient and sometimes necessary.","authors_text":"Alessandra Tappini, Anthony D'Angelo, Elena Arseneva, Fabrizio Frati, Pilar Cano, Prosenjit Bose, Stefan Langerman, Vida Dujmovic","cross_cats":["cs.DS","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-08-31T13:49:44Z","title":"Pole Dancing: 3D Morphs for Tree Drawings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10738","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":"sha256:001b34d9da9dad040586586c1ace0e84a71e420890d73145ab77d4377a4b5aba","target":"record","created_at":"2026-05-18T00:06:36Z","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":"cd3b201d8513666095e4b8c063a6e61ace9e900bce7b425b161b46d5b52a0e4a","cross_cats_sorted":["cs.DS","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-08-31T13:49:44Z","title_canon_sha256":"2ce4a8738ed42aa0ec38270279080254c9fd11bd6421cd50996ced8b87badc2d"},"schema_version":"1.0","source":{"id":"1808.10738","kind":"arxiv","version":2}},"canonical_sha256":"5a27e6dbc265b226443c10884b08e15e49404a21b3cfc210eefd8d79d47859c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a27e6dbc265b226443c10884b08e15e49404a21b3cfc210eefd8d79d47859c9","first_computed_at":"2026-05-18T00:06:36.448407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:36.448407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hkWhQ4rJOEeCQAT9ocsvM+D1qUHwmWP9WutCfZYYBsujXlWPy9qUNRvy/qKpu8SE/7Ac2k8GMQx6nbMZE5uQCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:36.448891Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.10738","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:001b34d9da9dad040586586c1ace0e84a71e420890d73145ab77d4377a4b5aba","sha256:38fcbcb6c63e968f97d6dca59480c2b5ccb8f5f39e6c31b3859fef13806ced43"],"state_sha256":"047b93a312d24ae75870f07145ef20c133a3c86cfc6b2c3a8315d379d6211226"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rpB2K9EQAumzqZwNcvUTNkYaDEiwrUFEeohgqN4f9l4aeZtvFRjya8e5QoS3grHspWPPqAeKSwH2R2J4pkxUCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:42:57.161698Z","bundle_sha256":"e99150fd3c14ef75e503cdfc547014a30cf094f78fde0b1cc4455f567bfc84d6"}}