{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DQCMGXKVY4W7VFZHUWCK4OR7VR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b8de992b870883f6e42072ea6c308a1cfad6b6a072a462ec7f40e0488b7458b0","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.GM","submitted_at":"2026-07-29T05:45:12Z","title_canon_sha256":"21041c40af005122cfc4d8ffdf851a691e2a061c66ad3cd544308d77832ddb03"},"schema_version":"1.0","source":{"id":"2608.00067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.00067","created_at":"2026-08-04T00:32:04Z"},{"alias_kind":"arxiv_version","alias_value":"2608.00067v1","created_at":"2026-08-04T00:32:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00067","created_at":"2026-08-04T00:32:04Z"},{"alias_kind":"pith_short_12","alias_value":"DQCMGXKVY4W7","created_at":"2026-08-04T00:32:04Z"},{"alias_kind":"pith_short_16","alias_value":"DQCMGXKVY4W7VFZH","created_at":"2026-08-04T00:32:04Z"},{"alias_kind":"pith_short_8","alias_value":"DQCMGXKV","created_at":"2026-08-04T00:32:04Z"}],"graph_snapshots":[{"event_id":"sha256:66d8df8c046933c15fc49050cc5433ec1b74777b66fecd1f7c085a0b4553da0a","target":"graph","created_at":"2026-08-04T00:32:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.00067/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Zsolt P\\'ales asked whether there exists a function $f: \\mathbb{R}\\to \\mathbb{R}$ such that $$ f\\left(\\frac{x+2y}{3}\\right) \\le \\frac{f(x)+2f(y)}{3} \\quad \\text{ for all }x\\le y $$ which is not midconvex. We show that the answer is negative.","authors_text":"Paolo Leonetti","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.GM","submitted_at":"2026-07-29T05:45:12Z","title":"On non-symmetric $t$-convexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00067","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7b974de96bbcc2d22c11ae20cde1cec52aef3330ebc4c6082d4cc94b36a58006","target":"record","created_at":"2026-08-04T00:32:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b8de992b870883f6e42072ea6c308a1cfad6b6a072a462ec7f40e0488b7458b0","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.GM","submitted_at":"2026-07-29T05:45:12Z","title_canon_sha256":"21041c40af005122cfc4d8ffdf851a691e2a061c66ad3cd544308d77832ddb03"},"schema_version":"1.0","source":{"id":"2608.00067","kind":"arxiv","version":1}},"canonical_sha256":"1c04c35d55c72dfa9727a584ae3a3fac6a0e7a4d41218367d988a8edb0536998","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c04c35d55c72dfa9727a584ae3a3fac6a0e7a4d41218367d988a8edb0536998","first_computed_at":"2026-08-04T00:32:04.891922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T00:32:04.891922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cUWIshHiPsZEBCUDFauTb9/UKBUbhN4t1vkbn3dEmX29gfjoeo73RMzNEE12ceHe507gVG9STIb5bgG0UmXJDg==","signature_status":"signed_v1","signed_at":"2026-08-04T00:32:04.893603Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.00067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b974de96bbcc2d22c11ae20cde1cec52aef3330ebc4c6082d4cc94b36a58006","sha256:66d8df8c046933c15fc49050cc5433ec1b74777b66fecd1f7c085a0b4553da0a"],"state_sha256":"b1e51d95e88b05ed8b804e5f2913982325575de1b671386ab3c401d35a01854d"}