{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:422F4GM6RFGZEHNM6PJ5RTFRWN","short_pith_number":"pith:422F4GM6","canonical_record":{"source":{"id":"2607.07723","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-07-04T18:17:36Z","cross_cats_sorted":[],"title_canon_sha256":"523ef72ba39cba22b706482089e5f04100571285954253a6ec3e9fa3c90e3a52","abstract_canon_sha256":"1cb4d75c4aa8b893077e1de11bfa404839c9ce099a1ab125de6dc5170431582b"},"schema_version":"1.0"},"canonical_sha256":"e6b45e199e894d921dacf3d3d8ccb1b34397321bfc1b94aff85d292a606e31ee","source":{"kind":"arxiv","id":"2607.07723","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07723","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07723v1","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07723","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"422F4GM6RFGZ","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_16","alias_value":"422F4GM6RFGZEHNM","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_8","alias_value":"422F4GM6","created_at":"2026-07-10T00:18:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:422F4GM6RFGZEHNM6PJ5RTFRWN","target":"record","payload":{"canonical_record":{"source":{"id":"2607.07723","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-07-04T18:17:36Z","cross_cats_sorted":[],"title_canon_sha256":"523ef72ba39cba22b706482089e5f04100571285954253a6ec3e9fa3c90e3a52","abstract_canon_sha256":"1cb4d75c4aa8b893077e1de11bfa404839c9ce099a1ab125de6dc5170431582b"},"schema_version":"1.0"},"canonical_sha256":"e6b45e199e894d921dacf3d3d8ccb1b34397321bfc1b94aff85d292a606e31ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-10T00:18:47.259409Z","signature_b64":"v+FETV7QMpQ68rKBKt9cmN5LPaVdf2MzZQzdNmYonqgzfLgFJCoHkbBuTT4iJMkBBt+GTgtSEfbK7HAKcCdMAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6b45e199e894d921dacf3d3d8ccb1b34397321bfc1b94aff85d292a606e31ee","last_reissued_at":"2026-07-10T00:18:47.258974Z","signature_status":"signed_v1","first_computed_at":"2026-07-10T00:18:47.258974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.07723","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-10T00:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tHxK72zXJPY4hjAGfukSFBp4w0P9b0IyT5wRINU6t2H29RZDSNP5GuihoRL7p51icWpO/RuHU2NxZ67Z5o2wBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:50:10.967093Z"},"content_sha256":"641160562eaffa6d865f01af7d3249eeeb6ec6d984536f60cc8057e8ede3834c","schema_version":"1.0","event_id":"sha256:641160562eaffa6d865f01af7d3249eeeb6ec6d984536f60cc8057e8ede3834c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:422F4GM6RFGZEHNM6PJ5RTFRWN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limits of Uniform Certification in the Standard Turing Model -- Semantic Invariants and Admissible Methods","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Fabio F.G. Buono","submitted_at":"2026-07-04T18:17:36Z","abstract_excerpt":"This paper does not address the mathematical truth of P versus NP. Instead, it identifies a structural limitation of uniform proof-generation methods in the standard Turing model. The observation is model-theoretic: it concerns the interaction between semantic invariants and syntactic verification, not the provability of complexity statements. We formalise an admissible method as a generator-verifier pair that produces, for each program, a finite certificate establishing a semantic property. Admissibility forces the generator-verifier composition to behave uniformly with respect to the invaria"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07723","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.07723/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-10T00:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PyAQMLilzNs50xAvU7cJEF67yiIJ2CnfwBk6upCBBoqoNKNjgqdLxRVDCcVGPuGBl3reNwlcfxkMKV93kesKDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:50:10.968028Z"},"content_sha256":"31ce125e66bf002913f8452dbfca00d2688194c2466c643409b9bd20629ffc10","schema_version":"1.0","event_id":"sha256:31ce125e66bf002913f8452dbfca00d2688194c2466c643409b9bd20629ffc10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/422F4GM6RFGZEHNM6PJ5RTFRWN/bundle.json","state_url":"https://pith.science/pith/422F4GM6RFGZEHNM6PJ5RTFRWN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/422F4GM6RFGZEHNM6PJ5RTFRWN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T08:50:10Z","links":{"resolver":"https://pith.science/pith/422F4GM6RFGZEHNM6PJ5RTFRWN","bundle":"https://pith.science/pith/422F4GM6RFGZEHNM6PJ5RTFRWN/bundle.json","state":"https://pith.science/pith/422F4GM6RFGZEHNM6PJ5RTFRWN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/422F4GM6RFGZEHNM6PJ5RTFRWN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:422F4GM6RFGZEHNM6PJ5RTFRWN","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":"1cb4d75c4aa8b893077e1de11bfa404839c9ce099a1ab125de6dc5170431582b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-07-04T18:17:36Z","title_canon_sha256":"523ef72ba39cba22b706482089e5f04100571285954253a6ec3e9fa3c90e3a52"},"schema_version":"1.0","source":{"id":"2607.07723","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07723","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07723v1","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07723","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"422F4GM6RFGZ","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_16","alias_value":"422F4GM6RFGZEHNM","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_8","alias_value":"422F4GM6","created_at":"2026-07-10T00:18:47Z"}],"graph_snapshots":[{"event_id":"sha256:31ce125e66bf002913f8452dbfca00d2688194c2466c643409b9bd20629ffc10","target":"graph","created_at":"2026-07-10T00:18:47Z","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/2607.07723/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper does not address the mathematical truth of P versus NP. Instead, it identifies a structural limitation of uniform proof-generation methods in the standard Turing model. The observation is model-theoretic: it concerns the interaction between semantic invariants and syntactic verification, not the provability of complexity statements. We formalise an admissible method as a generator-verifier pair that produces, for each program, a finite certificate establishing a semantic property. Admissibility forces the generator-verifier composition to behave uniformly with respect to the invaria","authors_text":"Fabio F.G. Buono","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-07-04T18:17:36Z","title":"Limits of Uniform Certification in the Standard Turing Model -- Semantic Invariants and Admissible Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07723","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":"sha256:641160562eaffa6d865f01af7d3249eeeb6ec6d984536f60cc8057e8ede3834c","target":"record","created_at":"2026-07-10T00:18:47Z","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":"1cb4d75c4aa8b893077e1de11bfa404839c9ce099a1ab125de6dc5170431582b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-07-04T18:17:36Z","title_canon_sha256":"523ef72ba39cba22b706482089e5f04100571285954253a6ec3e9fa3c90e3a52"},"schema_version":"1.0","source":{"id":"2607.07723","kind":"arxiv","version":1}},"canonical_sha256":"e6b45e199e894d921dacf3d3d8ccb1b34397321bfc1b94aff85d292a606e31ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6b45e199e894d921dacf3d3d8ccb1b34397321bfc1b94aff85d292a606e31ee","first_computed_at":"2026-07-10T00:18:47.258974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-10T00:18:47.258974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v+FETV7QMpQ68rKBKt9cmN5LPaVdf2MzZQzdNmYonqgzfLgFJCoHkbBuTT4iJMkBBt+GTgtSEfbK7HAKcCdMAw==","signature_status":"signed_v1","signed_at":"2026-07-10T00:18:47.259409Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.07723","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:641160562eaffa6d865f01af7d3249eeeb6ec6d984536f60cc8057e8ede3834c","sha256:31ce125e66bf002913f8452dbfca00d2688194c2466c643409b9bd20629ffc10"],"state_sha256":"b68fedb9ca48acb0d224e06aa24c423c15d336faa48630af013badf92e04d16e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q8Gp3/1RsQrI44MQMMj3vgpcZSGqMGP2B4R6YOG9t1TFb0TSMQ8zIWWFeQgvhxsh/Vq1zEoWm8/NbmBYT9i1CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T08:50:10.974032Z","bundle_sha256":"4a0458479f174f323b4ce64887b79fe311bbd51eeb084c13f90a0a062c4390be"}}