{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ELNUEDXKOFWXFTCVJUJPI7TAO3","short_pith_number":"pith:ELNUEDXK","schema_version":"1.0","canonical_sha256":"22db420eea716d72cc554d12f47e6076fa53e2815954e118f2f7954eb4498076","source":{"kind":"arxiv","id":"1310.6152","version":1},"attestation_state":"computed","paper":{"title":"Distance spectral radius of a tree with given diameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Guanglong Yu, Mingqing Zhai, Shuguang Guo","submitted_at":"2013-10-23T08:31:09Z","abstract_excerpt":"For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix. In this paper, of all trees with both given order and fixed diameter, the trees with the minimal distance spectral radius are completely characterized."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1310.6152","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-10-23T08:31:09Z","cross_cats_sorted":[],"title_canon_sha256":"a2037d5223b565fd37b509ee5ad52171d8379bfb11a36bdce31d4fe61736a175","abstract_canon_sha256":"b4fb1e0d21aaaeca8131f224668d4ac6e991f04bbd8cf849a854ded6df238448"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:21.310162Z","signature_b64":"dI6ZltZKYE9GXFkf04AqXPM5/MbUz68r4zFTqPW89JUGSif3Zz4aRT54RDvr6DXomLZmlIbacAfDB6AB7/jTDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22db420eea716d72cc554d12f47e6076fa53e2815954e118f2f7954eb4498076","last_reissued_at":"2026-05-18T03:09:21.309393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:21.309393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distance spectral radius of a tree with given diameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Guanglong Yu, Mingqing Zhai, Shuguang Guo","submitted_at":"2013-10-23T08:31:09Z","abstract_excerpt":"For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix. In this paper, of all trees with both given order and fixed diameter, the trees with the minimal distance spectral radius are completely characterized."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6152","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1310.6152","created_at":"2026-05-18T03:09:21.309504+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.6152v1","created_at":"2026-05-18T03:09:21.309504+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6152","created_at":"2026-05-18T03:09:21.309504+00:00"},{"alias_kind":"pith_short_12","alias_value":"ELNUEDXKOFWX","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"ELNUEDXKOFWXFTCV","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"ELNUEDXK","created_at":"2026-05-18T12:27:43.054852+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ELNUEDXKOFWXFTCVJUJPI7TAO3","json":"https://pith.science/pith/ELNUEDXKOFWXFTCVJUJPI7TAO3.json","graph_json":"https://pith.science/api/pith-number/ELNUEDXKOFWXFTCVJUJPI7TAO3/graph.json","events_json":"https://pith.science/api/pith-number/ELNUEDXKOFWXFTCVJUJPI7TAO3/events.json","paper":"https://pith.science/paper/ELNUEDXK"},"agent_actions":{"view_html":"https://pith.science/pith/ELNUEDXKOFWXFTCVJUJPI7TAO3","download_json":"https://pith.science/pith/ELNUEDXKOFWXFTCVJUJPI7TAO3.json","view_paper":"https://pith.science/paper/ELNUEDXK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.6152&json=true","fetch_graph":"https://pith.science/api/pith-number/ELNUEDXKOFWXFTCVJUJPI7TAO3/graph.json","fetch_events":"https://pith.science/api/pith-number/ELNUEDXKOFWXFTCVJUJPI7TAO3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ELNUEDXKOFWXFTCVJUJPI7TAO3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ELNUEDXKOFWXFTCVJUJPI7TAO3/action/storage_attestation","attest_author":"https://pith.science/pith/ELNUEDXKOFWXFTCVJUJPI7TAO3/action/author_attestation","sign_citation":"https://pith.science/pith/ELNUEDXKOFWXFTCVJUJPI7TAO3/action/citation_signature","submit_replication":"https://pith.science/pith/ELNUEDXKOFWXFTCVJUJPI7TAO3/action/replication_record"}},"created_at":"2026-05-18T03:09:21.309504+00:00","updated_at":"2026-05-18T03:09:21.309504+00:00"}