{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XVYGCPNIQSFEJVRDJHLQCV5XHT","short_pith_number":"pith:XVYGCPNI","canonical_record":{"source":{"id":"1605.08688","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-27T15:28:37Z","cross_cats_sorted":[],"title_canon_sha256":"6aa656a37cab76156c9ff3ea113c40e40271852fc0ae9f352e0807f3f4189eee","abstract_canon_sha256":"eb2868ffac0d337dc940e18e587ef389efe05aa01a48bcfacb92ed777657a111"},"schema_version":"1.0"},"canonical_sha256":"bd70613da8848a44d62349d70157b73cd6dae9759a8a35c810a5bdc7cd0b7def","source":{"kind":"arxiv","id":"1605.08688","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08688","created_at":"2026-05-18T01:13:29Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08688v1","created_at":"2026-05-18T01:13:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08688","created_at":"2026-05-18T01:13:29Z"},{"alias_kind":"pith_short_12","alias_value":"XVYGCPNIQSFE","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XVYGCPNIQSFEJVRD","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XVYGCPNI","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XVYGCPNIQSFEJVRDJHLQCV5XHT","target":"record","payload":{"canonical_record":{"source":{"id":"1605.08688","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-27T15:28:37Z","cross_cats_sorted":[],"title_canon_sha256":"6aa656a37cab76156c9ff3ea113c40e40271852fc0ae9f352e0807f3f4189eee","abstract_canon_sha256":"eb2868ffac0d337dc940e18e587ef389efe05aa01a48bcfacb92ed777657a111"},"schema_version":"1.0"},"canonical_sha256":"bd70613da8848a44d62349d70157b73cd6dae9759a8a35c810a5bdc7cd0b7def","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:29.304994Z","signature_b64":"iIpqN1jaRJwpVktLp7SFZcK31hPTB9cDS8twuWqJ0ybgv/dQz+MKV4/vDmkVeBrxSCoq2ZZkCgzJ7ZArx9K3DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd70613da8848a44d62349d70157b73cd6dae9759a8a35c810a5bdc7cd0b7def","last_reissued_at":"2026-05-18T01:13:29.304504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:29.304504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.08688","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":"2026-05-18T01:13:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yineMzP8ukCiF1p8RmqZvP20EE8X1hwHvQ/CjHJAIBjT+CRpycAzcHPjqnTNbcJK7xUeQaNSI/ZtyFgIxqyOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:51:29.940706Z"},"content_sha256":"51dbdad11a1619e75c2f6a5448dd77295b1e6087732d7af07ec80a5ce19d877b","schema_version":"1.0","event_id":"sha256:51dbdad11a1619e75c2f6a5448dd77295b1e6087732d7af07ec80a5ce19d877b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XVYGCPNIQSFEJVRDJHLQCV5XHT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Principal eigenvector and spectral radius of uniform hypergraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Changjiang Bu, Haifeng Li, Jiang Zhou","submitted_at":"2016-05-27T15:28:37Z","abstract_excerpt":"In this paper, we give some bounds for principal eigenvector and spectral radius of connected uniform hypergraphs in terms of vertex degrees, the diameter, and the number of vertices and edges."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08688","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":"2026-05-18T01:13:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hVljT1iseYd8TWcVw4twZS7F4VJyCBiEYyVvKsBMgE6ClRwY95xxvoVxDe9j4XSCTKb5JPo7nNMcB1DDTaaECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:51:29.941070Z"},"content_sha256":"ab085d4d41b211cf4189e13a986f2d32debd2c946487334d1c1ecb65541e49cc","schema_version":"1.0","event_id":"sha256:ab085d4d41b211cf4189e13a986f2d32debd2c946487334d1c1ecb65541e49cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XVYGCPNIQSFEJVRDJHLQCV5XHT/bundle.json","state_url":"https://pith.science/pith/XVYGCPNIQSFEJVRDJHLQCV5XHT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XVYGCPNIQSFEJVRDJHLQCV5XHT/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":"2026-06-09T16:51:29Z","links":{"resolver":"https://pith.science/pith/XVYGCPNIQSFEJVRDJHLQCV5XHT","bundle":"https://pith.science/pith/XVYGCPNIQSFEJVRDJHLQCV5XHT/bundle.json","state":"https://pith.science/pith/XVYGCPNIQSFEJVRDJHLQCV5XHT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XVYGCPNIQSFEJVRDJHLQCV5XHT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XVYGCPNIQSFEJVRDJHLQCV5XHT","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":"eb2868ffac0d337dc940e18e587ef389efe05aa01a48bcfacb92ed777657a111","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-27T15:28:37Z","title_canon_sha256":"6aa656a37cab76156c9ff3ea113c40e40271852fc0ae9f352e0807f3f4189eee"},"schema_version":"1.0","source":{"id":"1605.08688","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08688","created_at":"2026-05-18T01:13:29Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08688v1","created_at":"2026-05-18T01:13:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08688","created_at":"2026-05-18T01:13:29Z"},{"alias_kind":"pith_short_12","alias_value":"XVYGCPNIQSFE","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XVYGCPNIQSFEJVRD","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XVYGCPNI","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:ab085d4d41b211cf4189e13a986f2d32debd2c946487334d1c1ecb65541e49cc","target":"graph","created_at":"2026-05-18T01:13:29Z","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 paper, we give some bounds for principal eigenvector and spectral radius of connected uniform hypergraphs in terms of vertex degrees, the diameter, and the number of vertices and edges.","authors_text":"Changjiang Bu, Haifeng Li, Jiang Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-27T15:28:37Z","title":"Principal eigenvector and spectral radius of uniform hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08688","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":"sha256:51dbdad11a1619e75c2f6a5448dd77295b1e6087732d7af07ec80a5ce19d877b","target":"record","created_at":"2026-05-18T01:13:29Z","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":"eb2868ffac0d337dc940e18e587ef389efe05aa01a48bcfacb92ed777657a111","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-27T15:28:37Z","title_canon_sha256":"6aa656a37cab76156c9ff3ea113c40e40271852fc0ae9f352e0807f3f4189eee"},"schema_version":"1.0","source":{"id":"1605.08688","kind":"arxiv","version":1}},"canonical_sha256":"bd70613da8848a44d62349d70157b73cd6dae9759a8a35c810a5bdc7cd0b7def","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd70613da8848a44d62349d70157b73cd6dae9759a8a35c810a5bdc7cd0b7def","first_computed_at":"2026-05-18T01:13:29.304504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:29.304504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iIpqN1jaRJwpVktLp7SFZcK31hPTB9cDS8twuWqJ0ybgv/dQz+MKV4/vDmkVeBrxSCoq2ZZkCgzJ7ZArx9K3DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:29.304994Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.08688","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51dbdad11a1619e75c2f6a5448dd77295b1e6087732d7af07ec80a5ce19d877b","sha256:ab085d4d41b211cf4189e13a986f2d32debd2c946487334d1c1ecb65541e49cc"],"state_sha256":"228e85a6d84137f6a17f27644b8221f397e1125a5e8da70ecdaf392e212a1327"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tsSzDmG8kOlWVz1IE+2hHIuW/pcDU0URgno9AIiJEen+zJujcP7uB62pXPJlb8+f+5YF6yxN0x14ZfNaIR1tDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T16:51:29.943116Z","bundle_sha256":"99830ea8b94d4d2c3f7b9b9ae4d36d8e3b8b55045741d43829a9a2bf9555653d"}}