{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:TKFUOTWJDRLVQZXXTRZURGE3QZ","short_pith_number":"pith:TKFUOTWJ","canonical_record":{"source":{"id":"2605.23466","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2026-05-22T10:26:28Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"b6daf9b6ddb1e02485f3c557d0ff980001310f40d53a38b9bb26480ccec01695","abstract_canon_sha256":"95ebcb56817de0b2519cf1b3a179ed7c8dcf1186612ef3056db154c5176d3899"},"schema_version":"1.0"},"canonical_sha256":"9a8b474ec91c575866f79c7348989b866b63d8e21a52c21e60f878ba767026e6","source":{"kind":"arxiv","id":"2605.23466","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23466","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23466v1","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23466","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"TKFUOTWJDRLV","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"pith_short_16","alias_value":"TKFUOTWJDRLVQZXX","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"pith_short_8","alias_value":"TKFUOTWJ","created_at":"2026-05-25T02:01:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:TKFUOTWJDRLVQZXXTRZURGE3QZ","target":"record","payload":{"canonical_record":{"source":{"id":"2605.23466","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2026-05-22T10:26:28Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"b6daf9b6ddb1e02485f3c557d0ff980001310f40d53a38b9bb26480ccec01695","abstract_canon_sha256":"95ebcb56817de0b2519cf1b3a179ed7c8dcf1186612ef3056db154c5176d3899"},"schema_version":"1.0"},"canonical_sha256":"9a8b474ec91c575866f79c7348989b866b63d8e21a52c21e60f878ba767026e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:56.293987Z","signature_b64":"5B8gwOoO3hjuvI9Lkxll+6LeBH8jVUnX6XwwXqkLtv5hzwdbAAcj+C8gpn/9VuUjDcreVOiQtDjmbdPmkZAxDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a8b474ec91c575866f79c7348989b866b63d8e21a52c21e60f878ba767026e6","last_reissued_at":"2026-05-25T02:01:56.293188Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:56.293188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.23466","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":"2026-05-25T02:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YqFN0zoMuW4NhiVKRHUSZw+344Xe++ndYlWal1vgQ6d46MpOJ1ATdZfCp1EH70Joqzz2wW0mJLKh2mI33XZhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:07:36.652775Z"},"content_sha256":"d95bf497221f542bfab9b3940905d1e6e2c94d0435c11ad2f8a73299f9491a52","schema_version":"1.0","event_id":"sha256:d95bf497221f542bfab9b3940905d1e6e2c94d0435c11ad2f8a73299f9491a52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:TKFUOTWJDRLVQZXXTRZURGE3QZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Definability via the tilting correspondence","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.LO","authors_text":"Franziska Jahnke, Gessica Alecci, Ihsane Hadeg, Isabella Negrini, Margarete Ketelsen","submitted_at":"2026-05-22T10:26:28Z","abstract_excerpt":"We show that arithmetic definability of henselian valuations is preserved by the tilting correspondence. Moreover, we show that if a perfectoid valuation is arithmetically definable, then no parameters are needed. We also investigate whether these definitions can be chosen uniformly, and discuss the required quantifier complexity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23466","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/2605.23466/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":"2026-05-25T02:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lF0OhZwVhIGeaSjwOTqcxtu9xUA19RE29X/O0+PWxk0AyZ60uX7L6nU+gSty6iRswKwCGIdEJX2AVaFnNJ1wDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:07:36.653484Z"},"content_sha256":"e514b475f18b1dd05ecbfc63e34336e1331e9d05c1bce24a4c2b754ca090954a","schema_version":"1.0","event_id":"sha256:e514b475f18b1dd05ecbfc63e34336e1331e9d05c1bce24a4c2b754ca090954a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TKFUOTWJDRLVQZXXTRZURGE3QZ/bundle.json","state_url":"https://pith.science/pith/TKFUOTWJDRLVQZXXTRZURGE3QZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TKFUOTWJDRLVQZXXTRZURGE3QZ/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":"2026-06-06T06:07:36Z","links":{"resolver":"https://pith.science/pith/TKFUOTWJDRLVQZXXTRZURGE3QZ","bundle":"https://pith.science/pith/TKFUOTWJDRLVQZXXTRZURGE3QZ/bundle.json","state":"https://pith.science/pith/TKFUOTWJDRLVQZXXTRZURGE3QZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TKFUOTWJDRLVQZXXTRZURGE3QZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TKFUOTWJDRLVQZXXTRZURGE3QZ","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":"95ebcb56817de0b2519cf1b3a179ed7c8dcf1186612ef3056db154c5176d3899","cross_cats_sorted":["math.NT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2026-05-22T10:26:28Z","title_canon_sha256":"b6daf9b6ddb1e02485f3c557d0ff980001310f40d53a38b9bb26480ccec01695"},"schema_version":"1.0","source":{"id":"2605.23466","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23466","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23466v1","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23466","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"TKFUOTWJDRLV","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"pith_short_16","alias_value":"TKFUOTWJDRLVQZXX","created_at":"2026-05-25T02:01:56Z"},{"alias_kind":"pith_short_8","alias_value":"TKFUOTWJ","created_at":"2026-05-25T02:01:56Z"}],"graph_snapshots":[{"event_id":"sha256:e514b475f18b1dd05ecbfc63e34336e1331e9d05c1bce24a4c2b754ca090954a","target":"graph","created_at":"2026-05-25T02:01:56Z","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/2605.23466/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that arithmetic definability of henselian valuations is preserved by the tilting correspondence. Moreover, we show that if a perfectoid valuation is arithmetically definable, then no parameters are needed. We also investigate whether these definitions can be chosen uniformly, and discuss the required quantifier complexity.","authors_text":"Franziska Jahnke, Gessica Alecci, Ihsane Hadeg, Isabella Negrini, Margarete Ketelsen","cross_cats":["math.NT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2026-05-22T10:26:28Z","title":"Definability via the tilting correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23466","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:d95bf497221f542bfab9b3940905d1e6e2c94d0435c11ad2f8a73299f9491a52","target":"record","created_at":"2026-05-25T02:01:56Z","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":"95ebcb56817de0b2519cf1b3a179ed7c8dcf1186612ef3056db154c5176d3899","cross_cats_sorted":["math.NT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2026-05-22T10:26:28Z","title_canon_sha256":"b6daf9b6ddb1e02485f3c557d0ff980001310f40d53a38b9bb26480ccec01695"},"schema_version":"1.0","source":{"id":"2605.23466","kind":"arxiv","version":1}},"canonical_sha256":"9a8b474ec91c575866f79c7348989b866b63d8e21a52c21e60f878ba767026e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a8b474ec91c575866f79c7348989b866b63d8e21a52c21e60f878ba767026e6","first_computed_at":"2026-05-25T02:01:56.293188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:56.293188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5B8gwOoO3hjuvI9Lkxll+6LeBH8jVUnX6XwwXqkLtv5hzwdbAAcj+C8gpn/9VuUjDcreVOiQtDjmbdPmkZAxDw==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:56.293987Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23466","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d95bf497221f542bfab9b3940905d1e6e2c94d0435c11ad2f8a73299f9491a52","sha256:e514b475f18b1dd05ecbfc63e34336e1331e9d05c1bce24a4c2b754ca090954a"],"state_sha256":"5dea12933d89fa4f5e87ecb98c46ca2322388661c93e3e4663de79056b3c0a05"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D5rFrPtwx/dnim1aTyOnvKG5CRop27XbQ/RoXRwXmTzCiPIhaNmdXzMvpMGCsAn5iblPTg4eDXISpnwknJrABQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:07:36.657637Z","bundle_sha256":"62438126937468b634303ea8188150e8ea87dbf29ad078f7fc7a7015f71fa4fa"}}