{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:X6QP6REHC32TXTQD2CHQ5XXYDA","short_pith_number":"pith:X6QP6REH","canonical_record":{"source":{"id":"1703.10840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-03-31T10:33:24Z","cross_cats_sorted":["cs.DS","q-bio.PE"],"title_canon_sha256":"81b43f434b263b5d18325696464535ff2acd354d65e894d5ecd2e381f0c445bb","abstract_canon_sha256":"f8c975bb9834f5ef2ced7ba34d387634144357642a18b58b746b478cc7e3aa82"},"schema_version":"1.0"},"canonical_sha256":"bfa0ff448716f53bce03d08f0edef818255613c7e1ba8badb29ae9ac353167f1","source":{"kind":"arxiv","id":"1703.10840","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10840","created_at":"2026-05-18T00:47:32Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10840v1","created_at":"2026-05-18T00:47:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10840","created_at":"2026-05-18T00:47:32Z"},{"alias_kind":"pith_short_12","alias_value":"X6QP6REHC32T","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X6QP6REHC32TXTQD","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X6QP6REH","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:X6QP6REHC32TXTQD2CHQ5XXYDA","target":"record","payload":{"canonical_record":{"source":{"id":"1703.10840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-03-31T10:33:24Z","cross_cats_sorted":["cs.DS","q-bio.PE"],"title_canon_sha256":"81b43f434b263b5d18325696464535ff2acd354d65e894d5ecd2e381f0c445bb","abstract_canon_sha256":"f8c975bb9834f5ef2ced7ba34d387634144357642a18b58b746b478cc7e3aa82"},"schema_version":"1.0"},"canonical_sha256":"bfa0ff448716f53bce03d08f0edef818255613c7e1ba8badb29ae9ac353167f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:32.562789Z","signature_b64":"toP09JRtovLKZ5Oagj/NcIS3Gx7KeuwNgZFXIPUHfTIGnmpKuq9VFuNjC0cf5HTdQmdlU4/984DlGLLQE1PdCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfa0ff448716f53bce03d08f0edef818255613c7e1ba8badb29ae9ac353167f1","last_reissued_at":"2026-05-18T00:47:32.562197Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:32.562197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.10840","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":"2026-05-18T00:47:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qzs3Vk4GA88dn4Y8nwd30P1r1o/0eiEqtd2UkVfPOsraLks6oRcRO/o1DLf5wdxBpado5RyDMwXEq14Saw6UAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:20:29.858673Z"},"content_sha256":"5c0a51156439731c4f3035ba1e3d151e9699f9ae2a5fe89a8fd5c7a4ea08341a","schema_version":"1.0","event_id":"sha256:5c0a51156439731c4f3035ba1e3d151e9699f9ae2a5fe89a8fd5c7a4ea08341a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:X6QP6REHC32TXTQD2CHQ5XXYDA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Treewidth distance on phylogenetic trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","q-bio.PE"],"primary_cat":"cs.DM","authors_text":"Georgios Stamoulis, Steven Kelk, Taoyang Wu","submitted_at":"2017-03-31T10:33:24Z","abstract_excerpt":"In this article we study the treewidth of the \\emph{display graph}, an auxiliary graph structure obtained from the fusion of phylogenetic (i.e., evolutionary) trees at their leaves. Earlier work has shown that the treewidth of the display graph is bounded if the trees are in some formal sense topologically similar. Here we further expand upon this relationship. We analyse a number of reduction rules which are commonly used in the phylogenetics literature to obtain fixed parameter tractable algorithms. In some cases (the \\emph{subtree} reduction) the reduction rules behave similarly with respec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10840","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":"2026-05-18T00:47:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rzqz0l1xHoeEZBHs+n2bwJ/PsPH8QbUdWsqpiuY1LHzYm40R2vHgcoIwpuf1xNagxX9laoyqr3XFqZcvVySpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:20:29.859269Z"},"content_sha256":"84b8e8e640f56c973f3b02bfe116d7d5ff37e1eaffa959b28740410bd24973be","schema_version":"1.0","event_id":"sha256:84b8e8e640f56c973f3b02bfe116d7d5ff37e1eaffa959b28740410bd24973be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X6QP6REHC32TXTQD2CHQ5XXYDA/bundle.json","state_url":"https://pith.science/pith/X6QP6REHC32TXTQD2CHQ5XXYDA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X6QP6REHC32TXTQD2CHQ5XXYDA/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":"2026-05-27T19:20:29Z","links":{"resolver":"https://pith.science/pith/X6QP6REHC32TXTQD2CHQ5XXYDA","bundle":"https://pith.science/pith/X6QP6REHC32TXTQD2CHQ5XXYDA/bundle.json","state":"https://pith.science/pith/X6QP6REHC32TXTQD2CHQ5XXYDA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X6QP6REHC32TXTQD2CHQ5XXYDA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:X6QP6REHC32TXTQD2CHQ5XXYDA","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":"f8c975bb9834f5ef2ced7ba34d387634144357642a18b58b746b478cc7e3aa82","cross_cats_sorted":["cs.DS","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-03-31T10:33:24Z","title_canon_sha256":"81b43f434b263b5d18325696464535ff2acd354d65e894d5ecd2e381f0c445bb"},"schema_version":"1.0","source":{"id":"1703.10840","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10840","created_at":"2026-05-18T00:47:32Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10840v1","created_at":"2026-05-18T00:47:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10840","created_at":"2026-05-18T00:47:32Z"},{"alias_kind":"pith_short_12","alias_value":"X6QP6REHC32T","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X6QP6REHC32TXTQD","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X6QP6REH","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:84b8e8e640f56c973f3b02bfe116d7d5ff37e1eaffa959b28740410bd24973be","target":"graph","created_at":"2026-05-18T00:47:32Z","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":"In this article we study the treewidth of the \\emph{display graph}, an auxiliary graph structure obtained from the fusion of phylogenetic (i.e., evolutionary) trees at their leaves. Earlier work has shown that the treewidth of the display graph is bounded if the trees are in some formal sense topologically similar. Here we further expand upon this relationship. We analyse a number of reduction rules which are commonly used in the phylogenetics literature to obtain fixed parameter tractable algorithms. In some cases (the \\emph{subtree} reduction) the reduction rules behave similarly with respec","authors_text":"Georgios Stamoulis, Steven Kelk, Taoyang Wu","cross_cats":["cs.DS","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-03-31T10:33:24Z","title":"Treewidth distance on phylogenetic trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10840","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":"sha256:5c0a51156439731c4f3035ba1e3d151e9699f9ae2a5fe89a8fd5c7a4ea08341a","target":"record","created_at":"2026-05-18T00:47:32Z","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":"f8c975bb9834f5ef2ced7ba34d387634144357642a18b58b746b478cc7e3aa82","cross_cats_sorted":["cs.DS","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-03-31T10:33:24Z","title_canon_sha256":"81b43f434b263b5d18325696464535ff2acd354d65e894d5ecd2e381f0c445bb"},"schema_version":"1.0","source":{"id":"1703.10840","kind":"arxiv","version":1}},"canonical_sha256":"bfa0ff448716f53bce03d08f0edef818255613c7e1ba8badb29ae9ac353167f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfa0ff448716f53bce03d08f0edef818255613c7e1ba8badb29ae9ac353167f1","first_computed_at":"2026-05-18T00:47:32.562197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:32.562197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"toP09JRtovLKZ5Oagj/NcIS3Gx7KeuwNgZFXIPUHfTIGnmpKuq9VFuNjC0cf5HTdQmdlU4/984DlGLLQE1PdCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:32.562789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10840","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c0a51156439731c4f3035ba1e3d151e9699f9ae2a5fe89a8fd5c7a4ea08341a","sha256:84b8e8e640f56c973f3b02bfe116d7d5ff37e1eaffa959b28740410bd24973be"],"state_sha256":"96bb07325a342f38b44aacd53a29b5917d32fb2b98ddcdf7ee4b176e9f8804c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RlDdnq3tWf5jQ0h8nesXhToEjcBlgi0ZyPVkeBLzXIQmmDvG2ZDhNLwm2AvnpCknGzgEqbWCJQKGNYZo6s8dAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:20:29.862833Z","bundle_sha256":"e848a2b3c37977222c3e9e554816f346b337cc79f1392779222fcc5b29985727"}}