{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JR4L2TCOOTOIOMRRRJEV4D7567","short_pith_number":"pith:JR4L2TCO","canonical_record":{"source":{"id":"1506.06369","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-06-21T14:15:57Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"b0d546aea5916ec458749c400bc44cdb4abe64fe77d5788ad9849d5e37c900a0","abstract_canon_sha256":"a9d899e0a4e0c2af65b6dc3f0c7eeacd1e6ee5978feb1202c163487263d8c010"},"schema_version":"1.0"},"canonical_sha256":"4c78bd4c4e74dc8732318a495e0ffdf7fa2981788869bef739506a87ff72413d","source":{"kind":"arxiv","id":"1506.06369","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06369","created_at":"2026-05-18T01:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06369v2","created_at":"2026-05-18T01:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06369","created_at":"2026-05-18T01:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"JR4L2TCOOTOI","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JR4L2TCOOTOIOMRR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JR4L2TCO","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JR4L2TCOOTOIOMRRRJEV4D7567","target":"record","payload":{"canonical_record":{"source":{"id":"1506.06369","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-06-21T14:15:57Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"b0d546aea5916ec458749c400bc44cdb4abe64fe77d5788ad9849d5e37c900a0","abstract_canon_sha256":"a9d899e0a4e0c2af65b6dc3f0c7eeacd1e6ee5978feb1202c163487263d8c010"},"schema_version":"1.0"},"canonical_sha256":"4c78bd4c4e74dc8732318a495e0ffdf7fa2981788869bef739506a87ff72413d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:31.092706Z","signature_b64":"v9uASrid5Nug93bsIAICQmIG57uKiQWUEOC+XcgugkaeAOdmCi3wvJTrZcDBA5ZMikjqSJvjjnFxBwv4ReIrCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c78bd4c4e74dc8732318a495e0ffdf7fa2981788869bef739506a87ff72413d","last_reissued_at":"2026-05-18T01:02:31.092095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:31.092095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.06369","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":"2026-05-18T01:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LV4o0htbmNa0SndzEiOcNRpJ6yTba10yzn7IrAidD28DdDvHx9sdTSB+DI2wc1ivkmCgqGTb8A1mOPHqfsKEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:18:58.552969Z"},"content_sha256":"736c39d3ccf07bc69e1db59fe8d71972d90db407df3a4b8f813f744393f18658","schema_version":"1.0","event_id":"sha256:736c39d3ccf07bc69e1db59fe8d71972d90db407df3a4b8f813f744393f18658"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JR4L2TCOOTOIOMRRRJEV4D7567","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cubic TSP - a 1.3-approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.DM","authors_text":"Barbora Candr\\'akov\\'a, Robert Luko\\v{t}ka","submitted_at":"2015-06-21T14:15:57Z","abstract_excerpt":"We prove that every simple bridgeless cubic graph with n >= 8 vertices has a travelling salesman tour of length at most 1.3n - 2, which can be constructed in polynomial time."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06369","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":"2026-05-18T01:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BdK2/cmyiL+rCXUKYHAkWntOCDx7IPUK8wTp0kY6xScKWf9MMtzoiUCA7VQadWy5IJhe2lwqfOAzV9bMERK3DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:18:58.553617Z"},"content_sha256":"ea0514c1cdc066f214d17cc3992b3c188c38b7d9d243a915d383682eba46078d","schema_version":"1.0","event_id":"sha256:ea0514c1cdc066f214d17cc3992b3c188c38b7d9d243a915d383682eba46078d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JR4L2TCOOTOIOMRRRJEV4D7567/bundle.json","state_url":"https://pith.science/pith/JR4L2TCOOTOIOMRRRJEV4D7567/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JR4L2TCOOTOIOMRRRJEV4D7567/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":"2026-06-07T10:18:58Z","links":{"resolver":"https://pith.science/pith/JR4L2TCOOTOIOMRRRJEV4D7567","bundle":"https://pith.science/pith/JR4L2TCOOTOIOMRRRJEV4D7567/bundle.json","state":"https://pith.science/pith/JR4L2TCOOTOIOMRRRJEV4D7567/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JR4L2TCOOTOIOMRRRJEV4D7567/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JR4L2TCOOTOIOMRRRJEV4D7567","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":"a9d899e0a4e0c2af65b6dc3f0c7eeacd1e6ee5978feb1202c163487263d8c010","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-06-21T14:15:57Z","title_canon_sha256":"b0d546aea5916ec458749c400bc44cdb4abe64fe77d5788ad9849d5e37c900a0"},"schema_version":"1.0","source":{"id":"1506.06369","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06369","created_at":"2026-05-18T01:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06369v2","created_at":"2026-05-18T01:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06369","created_at":"2026-05-18T01:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"JR4L2TCOOTOI","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JR4L2TCOOTOIOMRR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JR4L2TCO","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:ea0514c1cdc066f214d17cc3992b3c188c38b7d9d243a915d383682eba46078d","target":"graph","created_at":"2026-05-18T01:02:31Z","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 prove that every simple bridgeless cubic graph with n >= 8 vertices has a travelling salesman tour of length at most 1.3n - 2, which can be constructed in polynomial time.","authors_text":"Barbora Candr\\'akov\\'a, Robert Luko\\v{t}ka","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-06-21T14:15:57Z","title":"Cubic TSP - a 1.3-approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06369","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":"sha256:736c39d3ccf07bc69e1db59fe8d71972d90db407df3a4b8f813f744393f18658","target":"record","created_at":"2026-05-18T01:02:31Z","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":"a9d899e0a4e0c2af65b6dc3f0c7eeacd1e6ee5978feb1202c163487263d8c010","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-06-21T14:15:57Z","title_canon_sha256":"b0d546aea5916ec458749c400bc44cdb4abe64fe77d5788ad9849d5e37c900a0"},"schema_version":"1.0","source":{"id":"1506.06369","kind":"arxiv","version":2}},"canonical_sha256":"4c78bd4c4e74dc8732318a495e0ffdf7fa2981788869bef739506a87ff72413d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c78bd4c4e74dc8732318a495e0ffdf7fa2981788869bef739506a87ff72413d","first_computed_at":"2026-05-18T01:02:31.092095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:31.092095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v9uASrid5Nug93bsIAICQmIG57uKiQWUEOC+XcgugkaeAOdmCi3wvJTrZcDBA5ZMikjqSJvjjnFxBwv4ReIrCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:31.092706Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06369","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:736c39d3ccf07bc69e1db59fe8d71972d90db407df3a4b8f813f744393f18658","sha256:ea0514c1cdc066f214d17cc3992b3c188c38b7d9d243a915d383682eba46078d"],"state_sha256":"9499d5d8043d74a166c31f74d39e80888adb5b5613ebe6c1b92d521f2b7a2c21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"43h9/df/Bm9oRthdErhcecvgQ8upuanGUO66LDydgjhZyyKsD8iP6nVxVLy/45xCyj19ApYxfrqoFxDmbRYGBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:18:58.556707Z","bundle_sha256":"927a61057cb0e1ae0045aafa0edfbf5773d12ee5473c1fed2e11f4dc3c79137c"}}