{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:GRGZSLQLKBSOKPOR3QGA5IF7YB","short_pith_number":"pith:GRGZSLQL","canonical_record":{"source":{"id":"1311.1994","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-11-08T14:59:32Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"8a1267db51e1ed8a3e37178efe2f8605dd318465a29c50436468cb99a35adcaa","abstract_canon_sha256":"bf9418b56b4af25951548ba05c1aaad19ecc7be90cb06f370baef49bcf704595"},"schema_version":"1.0"},"canonical_sha256":"344d992e0b5064e53dd1dc0c0ea0bfc05591ca6c2bcdfee9dfeca7f78b21508d","source":{"kind":"arxiv","id":"1311.1994","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1994","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1994v1","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1994","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"GRGZSLQLKBSO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GRGZSLQLKBSOKPOR","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GRGZSLQL","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:GRGZSLQLKBSOKPOR3QGA5IF7YB","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1994","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-11-08T14:59:32Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"8a1267db51e1ed8a3e37178efe2f8605dd318465a29c50436468cb99a35adcaa","abstract_canon_sha256":"bf9418b56b4af25951548ba05c1aaad19ecc7be90cb06f370baef49bcf704595"},"schema_version":"1.0"},"canonical_sha256":"344d992e0b5064e53dd1dc0c0ea0bfc05591ca6c2bcdfee9dfeca7f78b21508d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:41.796496Z","signature_b64":"Rtt19Wb1OHIl+meF92FYAULLaVlfogDIAFcn12vO7Qby4HCZmorHFXs3b+nzydJdQdDrsSfJVMfwhyMZQEp8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"344d992e0b5064e53dd1dc0c0ea0bfc05591ca6c2bcdfee9dfeca7f78b21508d","last_reissued_at":"2026-05-18T03:07:41.795926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:41.795926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1994","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":"2026-05-18T03:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XDg1pHFuhHn6CPLXLWH/qKSC/bEq2IaXLji+4+ewiPOfz91yG7T7XcT7C960SdAIZckwF2491bmdJeLvHfIuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:52:06.964240Z"},"content_sha256":"a425c6295c1ee1d8dbad28880efc3dbbe6e567c7b62d9dee48626f02ffeafae6","schema_version":"1.0","event_id":"sha256:a425c6295c1ee1d8dbad28880efc3dbbe6e567c7b62d9dee48626f02ffeafae6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:GRGZSLQLKBSOKPOR3QGA5IF7YB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Drawing complete multipartite graphs on the plane with restrictions on crossings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.CO","authors_text":"Xin Zhang","submitted_at":"2013-11-08T14:59:32Z","abstract_excerpt":"We introduce the concept of NIC-planar graphs and present the full characterization of NIC-planar complete k-partite graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1994","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":"2026-05-18T03:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tWDS2687hSiTQ6nPjfVeX4BRtQIWVbqrASevv2HKEtGlfUB5rrefVXaelJ+zmYJe7G/0kA4pQaTS0JQrHobcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:52:06.964968Z"},"content_sha256":"9ec64cdde6515ec4debdabc6a69235719923c789630a14dc503497f341076628","schema_version":"1.0","event_id":"sha256:9ec64cdde6515ec4debdabc6a69235719923c789630a14dc503497f341076628"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GRGZSLQLKBSOKPOR3QGA5IF7YB/bundle.json","state_url":"https://pith.science/pith/GRGZSLQLKBSOKPOR3QGA5IF7YB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GRGZSLQLKBSOKPOR3QGA5IF7YB/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":"2026-06-09T06:52:06Z","links":{"resolver":"https://pith.science/pith/GRGZSLQLKBSOKPOR3QGA5IF7YB","bundle":"https://pith.science/pith/GRGZSLQLKBSOKPOR3QGA5IF7YB/bundle.json","state":"https://pith.science/pith/GRGZSLQLKBSOKPOR3QGA5IF7YB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GRGZSLQLKBSOKPOR3QGA5IF7YB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GRGZSLQLKBSOKPOR3QGA5IF7YB","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":"bf9418b56b4af25951548ba05c1aaad19ecc7be90cb06f370baef49bcf704595","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-11-08T14:59:32Z","title_canon_sha256":"8a1267db51e1ed8a3e37178efe2f8605dd318465a29c50436468cb99a35adcaa"},"schema_version":"1.0","source":{"id":"1311.1994","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1994","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1994v1","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1994","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"GRGZSLQLKBSO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GRGZSLQLKBSOKPOR","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GRGZSLQL","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:9ec64cdde6515ec4debdabc6a69235719923c789630a14dc503497f341076628","target":"graph","created_at":"2026-05-18T03:07:41Z","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 introduce the concept of NIC-planar graphs and present the full characterization of NIC-planar complete k-partite graphs.","authors_text":"Xin Zhang","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-11-08T14:59:32Z","title":"Drawing complete multipartite graphs on the plane with restrictions on crossings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1994","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:a425c6295c1ee1d8dbad28880efc3dbbe6e567c7b62d9dee48626f02ffeafae6","target":"record","created_at":"2026-05-18T03:07:41Z","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":"bf9418b56b4af25951548ba05c1aaad19ecc7be90cb06f370baef49bcf704595","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-11-08T14:59:32Z","title_canon_sha256":"8a1267db51e1ed8a3e37178efe2f8605dd318465a29c50436468cb99a35adcaa"},"schema_version":"1.0","source":{"id":"1311.1994","kind":"arxiv","version":1}},"canonical_sha256":"344d992e0b5064e53dd1dc0c0ea0bfc05591ca6c2bcdfee9dfeca7f78b21508d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"344d992e0b5064e53dd1dc0c0ea0bfc05591ca6c2bcdfee9dfeca7f78b21508d","first_computed_at":"2026-05-18T03:07:41.795926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:41.795926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rtt19Wb1OHIl+meF92FYAULLaVlfogDIAFcn12vO7Qby4HCZmorHFXs3b+nzydJdQdDrsSfJVMfwhyMZQEp8AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:41.796496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1994","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a425c6295c1ee1d8dbad28880efc3dbbe6e567c7b62d9dee48626f02ffeafae6","sha256:9ec64cdde6515ec4debdabc6a69235719923c789630a14dc503497f341076628"],"state_sha256":"f478a3d6dbf3a91d95058e1aeb69cf58a4638b6b77a8235d278adb77bfcf1260"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1vvWgbKwBg5ah6Biv7g23NqNwSw+s04Q0mwQIvv3v3Gd9p7wbcTti0Pq0OCMRssIe4GxAi+WMPfyG6tWLjj9Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:52:06.968768Z","bundle_sha256":"48b908adc0c2946bf08be7ab6ad16aa85c1af97456f5417c6abbeadc9ca4ac70"}}