{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OV3Y3AS5H3H2RUK67FKPW3KB6O","short_pith_number":"pith:OV3Y3AS5","schema_version":"1.0","canonical_sha256":"75778d825d3ecfa8d15ef954fb6d41f3a758e217087207805a23d47f79e631bf","source":{"kind":"arxiv","id":"1404.7186","version":1},"attestation_state":"computed","paper":{"title":"Theta-3 is connected","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Andr\\'e van Renssen, Luis Barba, Matias Korman, Oswin Aichholzer, Perouz Taslakian, Prosenjit Bose, Sander Verdonschot, Sang Won Bae","submitted_at":"2014-04-28T22:13:33Z","abstract_excerpt":"In this paper, we show that the $\\theta$-graph with three cones is connected. We also provide an alternative proof of the connectivity of the Yao graph with three cones."},"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":"1404.7186","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-04-28T22:13:33Z","cross_cats_sorted":[],"title_canon_sha256":"9080b810bf98c33d8aa78348dcbcadb265a90eb5d29d3686952a78d907a23498","abstract_canon_sha256":"e4ebb0a5f7c7f6f15428c8409745f2b0075080c4f286b495aa3877fcc3dc5213"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:49.283657Z","signature_b64":"HjcNOwp+D/EDyLbjolkpzJko8QEVWoKL/egjEHjsgiRLllzesUW9usWe+g26bwZ42aHc6l7RlK81yTbjjtm4BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75778d825d3ecfa8d15ef954fb6d41f3a758e217087207805a23d47f79e631bf","last_reissued_at":"2026-05-18T01:33:49.283157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:49.283157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theta-3 is connected","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Andr\\'e van Renssen, Luis Barba, Matias Korman, Oswin Aichholzer, Perouz Taslakian, Prosenjit Bose, Sander Verdonschot, Sang Won Bae","submitted_at":"2014-04-28T22:13:33Z","abstract_excerpt":"In this paper, we show that the $\\theta$-graph with three cones is connected. We also provide an alternative proof of the connectivity of the Yao graph with three cones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7186","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":"1404.7186","created_at":"2026-05-18T01:33:49.283229+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7186v1","created_at":"2026-05-18T01:33:49.283229+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7186","created_at":"2026-05-18T01:33:49.283229+00:00"},{"alias_kind":"pith_short_12","alias_value":"OV3Y3AS5H3H2","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"OV3Y3AS5H3H2RUK6","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"OV3Y3AS5","created_at":"2026-05-18T12:28:43.426989+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/OV3Y3AS5H3H2RUK67FKPW3KB6O","json":"https://pith.science/pith/OV3Y3AS5H3H2RUK67FKPW3KB6O.json","graph_json":"https://pith.science/api/pith-number/OV3Y3AS5H3H2RUK67FKPW3KB6O/graph.json","events_json":"https://pith.science/api/pith-number/OV3Y3AS5H3H2RUK67FKPW3KB6O/events.json","paper":"https://pith.science/paper/OV3Y3AS5"},"agent_actions":{"view_html":"https://pith.science/pith/OV3Y3AS5H3H2RUK67FKPW3KB6O","download_json":"https://pith.science/pith/OV3Y3AS5H3H2RUK67FKPW3KB6O.json","view_paper":"https://pith.science/paper/OV3Y3AS5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7186&json=true","fetch_graph":"https://pith.science/api/pith-number/OV3Y3AS5H3H2RUK67FKPW3KB6O/graph.json","fetch_events":"https://pith.science/api/pith-number/OV3Y3AS5H3H2RUK67FKPW3KB6O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OV3Y3AS5H3H2RUK67FKPW3KB6O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OV3Y3AS5H3H2RUK67FKPW3KB6O/action/storage_attestation","attest_author":"https://pith.science/pith/OV3Y3AS5H3H2RUK67FKPW3KB6O/action/author_attestation","sign_citation":"https://pith.science/pith/OV3Y3AS5H3H2RUK67FKPW3KB6O/action/citation_signature","submit_replication":"https://pith.science/pith/OV3Y3AS5H3H2RUK67FKPW3KB6O/action/replication_record"}},"created_at":"2026-05-18T01:33:49.283229+00:00","updated_at":"2026-05-18T01:33:49.283229+00:00"}