{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:F7JOMNASFQHDH2NKSOFVVQSXUE","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":"8419f9e537592e07fe9e3df8ed58b079b8f0fc5d0e92fbe903ed7a78bf057e9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-16T12:54:21Z","title_canon_sha256":"ccafa1999a7171c38c31a260e86b241731cec0b5640ee6f8cf860606762644aa"},"schema_version":"1.0","source":{"id":"1710.05663","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.05663","created_at":"2026-05-18T00:32:48Z"},{"alias_kind":"arxiv_version","alias_value":"1710.05663v1","created_at":"2026-05-18T00:32:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.05663","created_at":"2026-05-18T00:32:48Z"},{"alias_kind":"pith_short_12","alias_value":"F7JOMNASFQHD","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F7JOMNASFQHDH2NK","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F7JOMNAS","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:702f44f7c703eafd887bdacd54310f73438cb759ba5cd5275cd5616993cb3d04","target":"graph","created_at":"2026-05-18T00:32:48Z","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":"A Hist in a cubic graph $G$ is a spanning tree $T$ which has only vertices of degree three and one. A snark with a Hist is called a Hist-snark, see \\cite{HO}. We present several computer generated Hist-snarks which form generalizations of the Petersen graph. Moreover, we state some results on Hist-snarks which have been achieved with computer support.","authors_text":"Arthur Hoffmann-Ostenhof, Thomas Jatschka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-16T12:54:21Z","title":"Special Hist-Snarks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05663","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:ebb4ac47509c7425a3ecb1a19f064f6cbb77e24fd25f2499e39d3b63d0465fa2","target":"record","created_at":"2026-05-18T00:32:48Z","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":"8419f9e537592e07fe9e3df8ed58b079b8f0fc5d0e92fbe903ed7a78bf057e9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-16T12:54:21Z","title_canon_sha256":"ccafa1999a7171c38c31a260e86b241731cec0b5640ee6f8cf860606762644aa"},"schema_version":"1.0","source":{"id":"1710.05663","kind":"arxiv","version":1}},"canonical_sha256":"2fd2e634122c0e33e9aa938b5ac257a12b68ab02ad88dbef0a3d09ee480aef2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fd2e634122c0e33e9aa938b5ac257a12b68ab02ad88dbef0a3d09ee480aef2a","first_computed_at":"2026-05-18T00:32:48.598427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:48.598427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mJwC6wo7WWmuDBQBT3ec7xH6eHK8oC60M32LWybNwZOhD89tcufeWtDcyEXo0n30K7p8IjAP/H7iciXPwIfjDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:48.599118Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.05663","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebb4ac47509c7425a3ecb1a19f064f6cbb77e24fd25f2499e39d3b63d0465fa2","sha256:702f44f7c703eafd887bdacd54310f73438cb759ba5cd5275cd5616993cb3d04"],"state_sha256":"edd3fad1ad4318641b67be7c2e3f5ff604e83d7203cac4c17fdb16a6a3ae84b1"}