{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QN7PJAS4VWRDHTL4OYT6QJ26I5","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":"398300843cdc9a2684be53c016c870a4d66ed13ad3b795c4e4ed9a4e547d1817","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-13T01:51:29Z","title_canon_sha256":"338e2e2a2581623ff91c0a6e52cc3a0f4d90bcfd443683269ffdfac5a95eedf7"},"schema_version":"1.0","source":{"id":"1708.03836","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03836","created_at":"2026-07-05T01:09:54Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03836v2","created_at":"2026-07-05T01:09:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03836","created_at":"2026-07-05T01:09:54Z"},{"alias_kind":"pith_short_12","alias_value":"QN7PJAS4VWRD","created_at":"2026-07-05T01:09:54Z"},{"alias_kind":"pith_short_16","alias_value":"QN7PJAS4VWRDHTL4","created_at":"2026-07-05T01:09:54Z"},{"alias_kind":"pith_short_8","alias_value":"QN7PJAS4","created_at":"2026-07-05T01:09:54Z"}],"graph_snapshots":[{"event_id":"sha256:f4908663611225a87644b89992cf4b5fee5eb34583083ed9911b06e38b56e63d","target":"graph","created_at":"2026-07-05T01:09:54Z","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/1708.03836/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We exhibit geometric conditions on a family of toric hypersurfaces under which the value of a canonical normal function at a point of maximal unipotent monodromy is irrational.","authors_text":"Matt Kerr","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-13T01:51:29Z","title":"Motivic irrationality proofs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03836","kind":"arxiv","version":2},"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:d9b6b060050ac0a154ccb9c09f7744e523568599efcb32903f8824e60abfea75","target":"record","created_at":"2026-07-05T01:09:54Z","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":"398300843cdc9a2684be53c016c870a4d66ed13ad3b795c4e4ed9a4e547d1817","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-13T01:51:29Z","title_canon_sha256":"338e2e2a2581623ff91c0a6e52cc3a0f4d90bcfd443683269ffdfac5a95eedf7"},"schema_version":"1.0","source":{"id":"1708.03836","kind":"arxiv","version":2}},"canonical_sha256":"837ef4825cada233cd7c7627e8275e474446a460fb8aca472c238b0609482081","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"837ef4825cada233cd7c7627e8275e474446a460fb8aca472c238b0609482081","first_computed_at":"2026-07-05T01:09:54.383997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:09:54.383997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D33K5GjeiF1HXyl6vx6iwcEY7RTZF2D03UnsmbtnnqYAMRJ6+6nhm7rOvjrc9JVYen6YqbY88p1t9wn5SQshCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:09:54.384442Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03836","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9b6b060050ac0a154ccb9c09f7744e523568599efcb32903f8824e60abfea75","sha256:f4908663611225a87644b89992cf4b5fee5eb34583083ed9911b06e38b56e63d"],"state_sha256":"5db759ea021590c95e491a0c550198d075b181726bca2610240864784cb88892"}