{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:M6V52N465IQNSIOV6KAPQQ5M7K","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":"5b11d052a6d89305ca565ef76f3f61293b9d72744709fb73b5552f8b77553522","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2020-03-27T12:23:55Z","title_canon_sha256":"5a0934577b45ad9b053ce68c7f8f8b291e2985634bee70065e765dc38c240d77"},"schema_version":"1.0","source":{"id":"2003.12364","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.12364","created_at":"2026-07-05T04:49:28Z"},{"alias_kind":"arxiv_version","alias_value":"2003.12364v2","created_at":"2026-07-05T04:49:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.12364","created_at":"2026-07-05T04:49:28Z"},{"alias_kind":"pith_short_12","alias_value":"M6V52N465IQN","created_at":"2026-07-05T04:49:28Z"},{"alias_kind":"pith_short_16","alias_value":"M6V52N465IQNSIOV","created_at":"2026-07-05T04:49:28Z"},{"alias_kind":"pith_short_8","alias_value":"M6V52N46","created_at":"2026-07-05T04:49:28Z"}],"graph_snapshots":[{"event_id":"sha256:555e34e3585a687dc07d79e125056dd259767a2c9e90b48cdc314939effe0445","target":"graph","created_at":"2026-07-05T04:49:28Z","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/2003.12364/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The existence of a smooth, nonnegative, compactly supported function with monotone (on the half-line) Fourier transform satisfying two-sided decay bounds is demonstrated.","authors_text":"Tamer Tlas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2020-03-27T12:23:55Z","title":"Bump Functions With Monotone Fourier Transforms Satisfying Decay Bounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.12364","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":"sha256:5af173ac072cd3c2810ab391cd3dea335966e88e7087fdb5a8f45d804fefa175","target":"record","created_at":"2026-07-05T04:49:28Z","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":"5b11d052a6d89305ca565ef76f3f61293b9d72744709fb73b5552f8b77553522","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2020-03-27T12:23:55Z","title_canon_sha256":"5a0934577b45ad9b053ce68c7f8f8b291e2985634bee70065e765dc38c240d77"},"schema_version":"1.0","source":{"id":"2003.12364","kind":"arxiv","version":2}},"canonical_sha256":"67abdd379eea20d921d5f280f843acfa82ecbe0d52f050f92e5da7067998dabe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67abdd379eea20d921d5f280f843acfa82ecbe0d52f050f92e5da7067998dabe","first_computed_at":"2026-07-05T04:49:28.006236Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:49:28.006236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CIDHfwpyzMfpljITt39B748TtpI0J2/XjdcGCqzVCEsJ/p6aFRvTUwoasbRBKkZlYvaqYgs3fj46P6EWG7lhDA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:49:28.006686Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.12364","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5af173ac072cd3c2810ab391cd3dea335966e88e7087fdb5a8f45d804fefa175","sha256:555e34e3585a687dc07d79e125056dd259767a2c9e90b48cdc314939effe0445"],"state_sha256":"b6aeb1f38a817d4d624e727b901f3a528754104690853bb9423f85d7647a62cd"}