{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:7EJHNUSKE7D2I4M7UVXPEG2JPH","short_pith_number":"pith:7EJHNUSK","schema_version":"1.0","canonical_sha256":"f91276d24a27c7a4719fa56ef21b4979e9e983580c5a78d2fe51d4679798aa6d","source":{"kind":"arxiv","id":"2309.12092","version":2},"attestation_state":"computed","paper":{"title":"Jung-type Inequalities and Blaschke-Santal\\'o Diagrams for Different Diameter Variants","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Mia Runge, Ren\\'e Brandenberg","submitted_at":"2023-09-21T14:06:09Z","abstract_excerpt":"We study geometric inequalities for the circumradius and diameter with respect to general gauges, partly also involving the inradius and the Minkowski asymmetry. There are a number of options for defining the diameter of a convex body that fall apart when we consider non-symmetric gauges. These definitions correspond to different symmetrizations of the gauge, i.e. means of the gauge $C$ and its origin reflection $-C$."},"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":"2309.12092","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.MG","submitted_at":"2023-09-21T14:06:09Z","cross_cats_sorted":[],"title_canon_sha256":"58e2a3e4fe24dcdf047ee4f92d9acc4041bda8194d6ed407174ccf9e6505f3c1","abstract_canon_sha256":"2f58d68ed0c3030069ff51bd10307ee69f6fe3975144b7d86f14f48d3d2a4bd5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:09:10.764289Z","signature_b64":"Ba68IEpz7OAsB37m5DD6/wYabglJk3bZOn3lJm7mb2hY7lCRYyEySDeaeRq7TEQ8yt+fM/7TIoipVbckDpPyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f91276d24a27c7a4719fa56ef21b4979e9e983580c5a78d2fe51d4679798aa6d","last_reissued_at":"2026-06-10T01:09:10.763705Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:09:10.763705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Jung-type Inequalities and Blaschke-Santal\\'o Diagrams for Different Diameter Variants","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Mia Runge, Ren\\'e Brandenberg","submitted_at":"2023-09-21T14:06:09Z","abstract_excerpt":"We study geometric inequalities for the circumradius and diameter with respect to general gauges, partly also involving the inradius and the Minkowski asymmetry. There are a number of options for defining the diameter of a convex body that fall apart when we consider non-symmetric gauges. These definitions correspond to different symmetrizations of the gauge, i.e. means of the gauge $C$ and its origin reflection $-C$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.12092","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2309.12092/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2309.12092","created_at":"2026-06-10T01:09:10.763775+00:00"},{"alias_kind":"arxiv_version","alias_value":"2309.12092v2","created_at":"2026-06-10T01:09:10.763775+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.12092","created_at":"2026-06-10T01:09:10.763775+00:00"},{"alias_kind":"pith_short_12","alias_value":"7EJHNUSKE7D2","created_at":"2026-06-10T01:09:10.763775+00:00"},{"alias_kind":"pith_short_16","alias_value":"7EJHNUSKE7D2I4M7","created_at":"2026-06-10T01:09:10.763775+00:00"},{"alias_kind":"pith_short_8","alias_value":"7EJHNUSK","created_at":"2026-06-10T01:09:10.763775+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/7EJHNUSKE7D2I4M7UVXPEG2JPH","json":"https://pith.science/pith/7EJHNUSKE7D2I4M7UVXPEG2JPH.json","graph_json":"https://pith.science/api/pith-number/7EJHNUSKE7D2I4M7UVXPEG2JPH/graph.json","events_json":"https://pith.science/api/pith-number/7EJHNUSKE7D2I4M7UVXPEG2JPH/events.json","paper":"https://pith.science/paper/7EJHNUSK"},"agent_actions":{"view_html":"https://pith.science/pith/7EJHNUSKE7D2I4M7UVXPEG2JPH","download_json":"https://pith.science/pith/7EJHNUSKE7D2I4M7UVXPEG2JPH.json","view_paper":"https://pith.science/paper/7EJHNUSK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2309.12092&json=true","fetch_graph":"https://pith.science/api/pith-number/7EJHNUSKE7D2I4M7UVXPEG2JPH/graph.json","fetch_events":"https://pith.science/api/pith-number/7EJHNUSKE7D2I4M7UVXPEG2JPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7EJHNUSKE7D2I4M7UVXPEG2JPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7EJHNUSKE7D2I4M7UVXPEG2JPH/action/storage_attestation","attest_author":"https://pith.science/pith/7EJHNUSKE7D2I4M7UVXPEG2JPH/action/author_attestation","sign_citation":"https://pith.science/pith/7EJHNUSKE7D2I4M7UVXPEG2JPH/action/citation_signature","submit_replication":"https://pith.science/pith/7EJHNUSKE7D2I4M7UVXPEG2JPH/action/replication_record"}},"created_at":"2026-06-10T01:09:10.763775+00:00","updated_at":"2026-06-10T01:09:10.763775+00:00"}