{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SSB5WOTM3RHNHNIB7BIMHMDSFF","short_pith_number":"pith:SSB5WOTM","canonical_record":{"source":{"id":"1409.2440","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-09-08T17:40:01Z","cross_cats_sorted":[],"title_canon_sha256":"ea1289119b7da2ab13d919821f8c3b311fdcddf7b439f08e296ed8352b3228f2","abstract_canon_sha256":"7bd5e7ef1c95bdb9d0a40b2bf096891e56120626cb99ed16f5fb2f23f24d0b8a"},"schema_version":"1.0"},"canonical_sha256":"9483db3a6cdc4ed3b501f850c3b072296081775c68aadb12aa117755e167a342","source":{"kind":"arxiv","id":"1409.2440","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2440","created_at":"2026-05-18T00:37:55Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2440v2","created_at":"2026-05-18T00:37:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2440","created_at":"2026-05-18T00:37:55Z"},{"alias_kind":"pith_short_12","alias_value":"SSB5WOTM3RHN","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SSB5WOTM3RHNHNIB","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SSB5WOTM","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SSB5WOTM3RHNHNIB7BIMHMDSFF","target":"record","payload":{"canonical_record":{"source":{"id":"1409.2440","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-09-08T17:40:01Z","cross_cats_sorted":[],"title_canon_sha256":"ea1289119b7da2ab13d919821f8c3b311fdcddf7b439f08e296ed8352b3228f2","abstract_canon_sha256":"7bd5e7ef1c95bdb9d0a40b2bf096891e56120626cb99ed16f5fb2f23f24d0b8a"},"schema_version":"1.0"},"canonical_sha256":"9483db3a6cdc4ed3b501f850c3b072296081775c68aadb12aa117755e167a342","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:55.001832Z","signature_b64":"xuDxHIlBeziz5KeeBdnfqKuJ57H1lyx16jGQ3UNEQGO/A/y0aSzq0E4ugPaK6gxp+4V48BqJbBJIKSe0GumhAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9483db3a6cdc4ed3b501f850c3b072296081775c68aadb12aa117755e167a342","last_reissued_at":"2026-05-18T00:37:55.001329Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:55.001329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.2440","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":"2026-05-18T00:37:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tUEipAJi7O4d2a1/KJlK7Pld9Pa7u8QUEWaVogcAOq2vEaG360g+PnVqzVrccfvcXF3vOzEKjoOLT8AWGnERDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:05:47.057602Z"},"content_sha256":"e53dfb5cd3ba0c164bba93f32d235b3ea5c11e1beba1ecbb2b98a25925af9a44","schema_version":"1.0","event_id":"sha256:e53dfb5cd3ba0c164bba93f32d235b3ea5c11e1beba1ecbb2b98a25925af9a44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SSB5WOTM3RHNHNIB7BIMHMDSFF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A computer-assisted proof of Barnette-Goodey conjecture: Not only fullerene graphs are Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Franti\\v{s}ek Kardo\\v{s}","submitted_at":"2014-09-08T17:40:01Z","abstract_excerpt":"Fullerene graphs, i.e., 3-connected planar cubic graphs with pentagonal and hexagonal faces, are conjectured to be Hamiltonian. This is a special case of a conjecture of Barnette and Goodey, stating that 3-connected planar graphs with faces of size at most 6 are Hamiltonian. We prove the conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2440","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":"2026-05-18T00:37:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F8GVoCur1a2WlPef99JKg/Q2wgEqQUj+v2WvsP7pby/pHwjULXk/X6GlNOWx4qhOHcC5cM8okDvFwtdqVXWaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:05:47.058237Z"},"content_sha256":"188e3db11ffd0f80cc5dd0fb29f3693854257bac35622677ba13898bef69ed89","schema_version":"1.0","event_id":"sha256:188e3db11ffd0f80cc5dd0fb29f3693854257bac35622677ba13898bef69ed89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SSB5WOTM3RHNHNIB7BIMHMDSFF/bundle.json","state_url":"https://pith.science/pith/SSB5WOTM3RHNHNIB7BIMHMDSFF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SSB5WOTM3RHNHNIB7BIMHMDSFF/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":"2026-06-10T21:05:47Z","links":{"resolver":"https://pith.science/pith/SSB5WOTM3RHNHNIB7BIMHMDSFF","bundle":"https://pith.science/pith/SSB5WOTM3RHNHNIB7BIMHMDSFF/bundle.json","state":"https://pith.science/pith/SSB5WOTM3RHNHNIB7BIMHMDSFF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SSB5WOTM3RHNHNIB7BIMHMDSFF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SSB5WOTM3RHNHNIB7BIMHMDSFF","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":"7bd5e7ef1c95bdb9d0a40b2bf096891e56120626cb99ed16f5fb2f23f24d0b8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-09-08T17:40:01Z","title_canon_sha256":"ea1289119b7da2ab13d919821f8c3b311fdcddf7b439f08e296ed8352b3228f2"},"schema_version":"1.0","source":{"id":"1409.2440","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2440","created_at":"2026-05-18T00:37:55Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2440v2","created_at":"2026-05-18T00:37:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2440","created_at":"2026-05-18T00:37:55Z"},{"alias_kind":"pith_short_12","alias_value":"SSB5WOTM3RHN","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SSB5WOTM3RHNHNIB","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SSB5WOTM","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:188e3db11ffd0f80cc5dd0fb29f3693854257bac35622677ba13898bef69ed89","target":"graph","created_at":"2026-05-18T00:37:55Z","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":"Fullerene graphs, i.e., 3-connected planar cubic graphs with pentagonal and hexagonal faces, are conjectured to be Hamiltonian. This is a special case of a conjecture of Barnette and Goodey, stating that 3-connected planar graphs with faces of size at most 6 are Hamiltonian. We prove the conjecture.","authors_text":"Franti\\v{s}ek Kardo\\v{s}","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-09-08T17:40:01Z","title":"A computer-assisted proof of Barnette-Goodey conjecture: Not only fullerene graphs are Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2440","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:e53dfb5cd3ba0c164bba93f32d235b3ea5c11e1beba1ecbb2b98a25925af9a44","target":"record","created_at":"2026-05-18T00:37:55Z","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":"7bd5e7ef1c95bdb9d0a40b2bf096891e56120626cb99ed16f5fb2f23f24d0b8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-09-08T17:40:01Z","title_canon_sha256":"ea1289119b7da2ab13d919821f8c3b311fdcddf7b439f08e296ed8352b3228f2"},"schema_version":"1.0","source":{"id":"1409.2440","kind":"arxiv","version":2}},"canonical_sha256":"9483db3a6cdc4ed3b501f850c3b072296081775c68aadb12aa117755e167a342","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9483db3a6cdc4ed3b501f850c3b072296081775c68aadb12aa117755e167a342","first_computed_at":"2026-05-18T00:37:55.001329Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:55.001329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xuDxHIlBeziz5KeeBdnfqKuJ57H1lyx16jGQ3UNEQGO/A/y0aSzq0E4ugPaK6gxp+4V48BqJbBJIKSe0GumhAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:55.001832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.2440","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e53dfb5cd3ba0c164bba93f32d235b3ea5c11e1beba1ecbb2b98a25925af9a44","sha256:188e3db11ffd0f80cc5dd0fb29f3693854257bac35622677ba13898bef69ed89"],"state_sha256":"055df037e0d24ddfa0806b9e7ed4fbf85cac2b3fd1b1f919d04c9b443b5e7176"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NfzJucrPAYx5hM89ud+UwOYkjAm/GidiLqevxsAe1XcNRWtkmTxUpAx//sfXJNZrF5Z+7fKathYuMEPwsgXvCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T21:05:47.062795Z","bundle_sha256":"ed7587f77a844884843cd4aada2ac1ff6f2d8b93d08c2ffc880a0e5b8f7ef68c"}}