{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZICRGBM4TMKWK3R2HOPMMTG44K","short_pith_number":"pith:ZICRGBM4","schema_version":"1.0","canonical_sha256":"ca0513059c9b15656e3a3b9ec64cdce2958b494ab739bbea46b3e1145de5e968","source":{"kind":"arxiv","id":"1503.06705","version":2},"attestation_state":"computed","paper":{"title":"A strong form of the quantitative Wulff inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Robin Neumayer","submitted_at":"2015-03-23T16:17:33Z","abstract_excerpt":"Quantitative isoperimetric inequalities for anisotropic surface energies are shown where the isoperimetric deficit controls both the Fraenkel asymmetry and a measure of the oscillation of the boundary with respect to the boundary of the corresponding Wulff shape."},"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":"1503.06705","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-03-23T16:17:33Z","cross_cats_sorted":[],"title_canon_sha256":"ae4ba69b1b417b6a06dc8ea89375d63504a091c6bfaf579f92c914fad261f979","abstract_canon_sha256":"ccb3d1804ff102e2f79cd4d74e110523dd538b63f2704d1f00dff974c9a8daba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:14.720062Z","signature_b64":"1PowOGn7ePawTU4rvw8zLtZXukBNGpdef4JBrjL/lY1giB1RwpTpb7lBaODGZhMkcXQ6jhJwiUM+C8jk+RhjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca0513059c9b15656e3a3b9ec64cdce2958b494ab739bbea46b3e1145de5e968","last_reissued_at":"2026-05-18T01:18:14.719520Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:14.719520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A strong form of the quantitative Wulff inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Robin Neumayer","submitted_at":"2015-03-23T16:17:33Z","abstract_excerpt":"Quantitative isoperimetric inequalities for anisotropic surface energies are shown where the isoperimetric deficit controls both the Fraenkel asymmetry and a measure of the oscillation of the boundary with respect to the boundary of the corresponding Wulff shape."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06705","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":"1503.06705","created_at":"2026-05-18T01:18:14.719612+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.06705v2","created_at":"2026-05-18T01:18:14.719612+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06705","created_at":"2026-05-18T01:18:14.719612+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZICRGBM4TMKW","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZICRGBM4TMKWK3R2","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZICRGBM4","created_at":"2026-05-18T12:29:52.810259+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/ZICRGBM4TMKWK3R2HOPMMTG44K","json":"https://pith.science/pith/ZICRGBM4TMKWK3R2HOPMMTG44K.json","graph_json":"https://pith.science/api/pith-number/ZICRGBM4TMKWK3R2HOPMMTG44K/graph.json","events_json":"https://pith.science/api/pith-number/ZICRGBM4TMKWK3R2HOPMMTG44K/events.json","paper":"https://pith.science/paper/ZICRGBM4"},"agent_actions":{"view_html":"https://pith.science/pith/ZICRGBM4TMKWK3R2HOPMMTG44K","download_json":"https://pith.science/pith/ZICRGBM4TMKWK3R2HOPMMTG44K.json","view_paper":"https://pith.science/paper/ZICRGBM4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.06705&json=true","fetch_graph":"https://pith.science/api/pith-number/ZICRGBM4TMKWK3R2HOPMMTG44K/graph.json","fetch_events":"https://pith.science/api/pith-number/ZICRGBM4TMKWK3R2HOPMMTG44K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZICRGBM4TMKWK3R2HOPMMTG44K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZICRGBM4TMKWK3R2HOPMMTG44K/action/storage_attestation","attest_author":"https://pith.science/pith/ZICRGBM4TMKWK3R2HOPMMTG44K/action/author_attestation","sign_citation":"https://pith.science/pith/ZICRGBM4TMKWK3R2HOPMMTG44K/action/citation_signature","submit_replication":"https://pith.science/pith/ZICRGBM4TMKWK3R2HOPMMTG44K/action/replication_record"}},"created_at":"2026-05-18T01:18:14.719612+00:00","updated_at":"2026-05-18T01:18:14.719612+00:00"}