{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ONNSS3CBSDZDCMHC6ZUE2S5KUI","short_pith_number":"pith:ONNSS3CB","schema_version":"1.0","canonical_sha256":"735b296c4190f23130e2f6684d4baaa207658c45b49dc51ade93c072251f0032","source":{"kind":"arxiv","id":"1004.5255","version":2},"attestation_state":"computed","paper":{"title":"Small holding circles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Augustin Fruchard (LMIA)","submitted_at":"2010-04-29T11:52:22Z","abstract_excerpt":"A circle C holds a convex body K if C does not meet the interior of K and if there does not exist any euclidean displacement which moves C as far as desired from K, avoiding the interior of K. The purpose of this note is to explore how small can be a holding circle. In particular it is shown that the diameter of such a holding circle can be less than the width w of the body but is always greater than 2w/3."},"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":"1004.5255","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2010-04-29T11:52:22Z","cross_cats_sorted":[],"title_canon_sha256":"7de8311c1de5ca14622e6dd653820330a58f706d9ca1efed81fb723456b35d0f","abstract_canon_sha256":"a1cbc96ae719b80af27b76178b784f39b46e0a11a6d3d8e7a01950921a444fb3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:11.499656Z","signature_b64":"IEdYUzQU4/y8JdWRLuGymljx0lNp9/KwofoGF0uZrzX7gpsxuR2o9uwUt38Ti+HvK41kKiraq0dhwxh92D/iDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"735b296c4190f23130e2f6684d4baaa207658c45b49dc51ade93c072251f0032","last_reissued_at":"2026-05-18T04:22:11.499262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:11.499262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Small holding circles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Augustin Fruchard (LMIA)","submitted_at":"2010-04-29T11:52:22Z","abstract_excerpt":"A circle C holds a convex body K if C does not meet the interior of K and if there does not exist any euclidean displacement which moves C as far as desired from K, avoiding the interior of K. The purpose of this note is to explore how small can be a holding circle. In particular it is shown that the diameter of such a holding circle can be less than the width w of the body but is always greater than 2w/3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5255","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1004.5255","created_at":"2026-05-18T04:22:11.499324+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.5255v2","created_at":"2026-05-18T04:22:11.499324+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.5255","created_at":"2026-05-18T04:22:11.499324+00:00"},{"alias_kind":"pith_short_12","alias_value":"ONNSS3CBSDZD","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"ONNSS3CBSDZDCMHC","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"ONNSS3CB","created_at":"2026-05-18T12:26:12.377268+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/ONNSS3CBSDZDCMHC6ZUE2S5KUI","json":"https://pith.science/pith/ONNSS3CBSDZDCMHC6ZUE2S5KUI.json","graph_json":"https://pith.science/api/pith-number/ONNSS3CBSDZDCMHC6ZUE2S5KUI/graph.json","events_json":"https://pith.science/api/pith-number/ONNSS3CBSDZDCMHC6ZUE2S5KUI/events.json","paper":"https://pith.science/paper/ONNSS3CB"},"agent_actions":{"view_html":"https://pith.science/pith/ONNSS3CBSDZDCMHC6ZUE2S5KUI","download_json":"https://pith.science/pith/ONNSS3CBSDZDCMHC6ZUE2S5KUI.json","view_paper":"https://pith.science/paper/ONNSS3CB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.5255&json=true","fetch_graph":"https://pith.science/api/pith-number/ONNSS3CBSDZDCMHC6ZUE2S5KUI/graph.json","fetch_events":"https://pith.science/api/pith-number/ONNSS3CBSDZDCMHC6ZUE2S5KUI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ONNSS3CBSDZDCMHC6ZUE2S5KUI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ONNSS3CBSDZDCMHC6ZUE2S5KUI/action/storage_attestation","attest_author":"https://pith.science/pith/ONNSS3CBSDZDCMHC6ZUE2S5KUI/action/author_attestation","sign_citation":"https://pith.science/pith/ONNSS3CBSDZDCMHC6ZUE2S5KUI/action/citation_signature","submit_replication":"https://pith.science/pith/ONNSS3CBSDZDCMHC6ZUE2S5KUI/action/replication_record"}},"created_at":"2026-05-18T04:22:11.499324+00:00","updated_at":"2026-05-18T04:22:11.499324+00:00"}