{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LJED2MFMUIBDJ4PU2LZUTSPECE","short_pith_number":"pith:LJED2MFM","schema_version":"1.0","canonical_sha256":"5a483d30aca20234f1f4d2f349c9e41109338780d32b57118549d52ed09e0aac","source":{"kind":"arxiv","id":"1202.0046","version":1},"attestation_state":"computed","paper":{"title":"A Note on a Brunn-Minkowski Inequality for the Gaussian Measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Piotr Nayar, Tomasz Tkocz","submitted_at":"2012-01-31T22:51:21Z","abstract_excerpt":"We give the counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture."},"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":"1202.0046","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-01-31T22:51:21Z","cross_cats_sorted":[],"title_canon_sha256":"e5d207d89a0e49b5719a151177fc5f8b27d6e4f5ccc6817d8af14885cd120cf3","abstract_canon_sha256":"42d95abde352714a3519771821f08debd29f622307dc368268606f663d7cc948"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:17.680165Z","signature_b64":"TV/0NhzbbJkc3aD0DthZtjmkPFZoY49IP24Pe7VygUBkUYvw3Fmql9U4bf4Olfek1eCzuXWFJyKh4RRE22L8Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a483d30aca20234f1f4d2f349c9e41109338780d32b57118549d52ed09e0aac","last_reissued_at":"2026-05-18T03:14:17.679569Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:17.679569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Note on a Brunn-Minkowski Inequality for the Gaussian Measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Piotr Nayar, Tomasz Tkocz","submitted_at":"2012-01-31T22:51:21Z","abstract_excerpt":"We give the counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.0046","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":"1202.0046","created_at":"2026-05-18T03:14:17.679654+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.0046v1","created_at":"2026-05-18T03:14:17.679654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.0046","created_at":"2026-05-18T03:14:17.679654+00:00"},{"alias_kind":"pith_short_12","alias_value":"LJED2MFMUIBD","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LJED2MFMUIBDJ4PU","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LJED2MFM","created_at":"2026-05-18T12:27:14.488303+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/LJED2MFMUIBDJ4PU2LZUTSPECE","json":"https://pith.science/pith/LJED2MFMUIBDJ4PU2LZUTSPECE.json","graph_json":"https://pith.science/api/pith-number/LJED2MFMUIBDJ4PU2LZUTSPECE/graph.json","events_json":"https://pith.science/api/pith-number/LJED2MFMUIBDJ4PU2LZUTSPECE/events.json","paper":"https://pith.science/paper/LJED2MFM"},"agent_actions":{"view_html":"https://pith.science/pith/LJED2MFMUIBDJ4PU2LZUTSPECE","download_json":"https://pith.science/pith/LJED2MFMUIBDJ4PU2LZUTSPECE.json","view_paper":"https://pith.science/paper/LJED2MFM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.0046&json=true","fetch_graph":"https://pith.science/api/pith-number/LJED2MFMUIBDJ4PU2LZUTSPECE/graph.json","fetch_events":"https://pith.science/api/pith-number/LJED2MFMUIBDJ4PU2LZUTSPECE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LJED2MFMUIBDJ4PU2LZUTSPECE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LJED2MFMUIBDJ4PU2LZUTSPECE/action/storage_attestation","attest_author":"https://pith.science/pith/LJED2MFMUIBDJ4PU2LZUTSPECE/action/author_attestation","sign_citation":"https://pith.science/pith/LJED2MFMUIBDJ4PU2LZUTSPECE/action/citation_signature","submit_replication":"https://pith.science/pith/LJED2MFMUIBDJ4PU2LZUTSPECE/action/replication_record"}},"created_at":"2026-05-18T03:14:17.679654+00:00","updated_at":"2026-05-18T03:14:17.679654+00:00"}