{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UQAJ5JANZHXWY4G5BKXED2OAXP","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":"e4782b00b7566875bd7868feebc52f0f42dbee7cd9de882c2a1a6fffa4cb6eec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-06-09T20:43:43Z","title_canon_sha256":"a7000c1276c3cfe5aa5e2b2ef33b5e18e0d87f063f9fbcda549be3fe1597c810"},"schema_version":"1.0","source":{"id":"1406.3606","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3606","created_at":"2026-05-18T02:49:46Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3606v1","created_at":"2026-05-18T02:49:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3606","created_at":"2026-05-18T02:49:46Z"},{"alias_kind":"pith_short_12","alias_value":"UQAJ5JANZHXW","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UQAJ5JANZHXWY4G5","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UQAJ5JAN","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:4d980f479061b5cadf73ed606b2ef48679fb17ef86fe257d72446616debcdb80","target":"graph","created_at":"2026-05-18T02:49:46Z","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"},"paper":{"abstract_excerpt":"We make some observations on the decay rates of the Fourier coefficients of cusp functions.","authors_text":"Tristram de Piro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-06-09T20:43:43Z","title":"Decay Rates for Cusp Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3606","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":"sha256:22f0aae00dee68327f58a51caeee0a4d24ee7a6943aebe8571d208d836a32c17","target":"record","created_at":"2026-05-18T02:49:46Z","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":"e4782b00b7566875bd7868feebc52f0f42dbee7cd9de882c2a1a6fffa4cb6eec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-06-09T20:43:43Z","title_canon_sha256":"a7000c1276c3cfe5aa5e2b2ef33b5e18e0d87f063f9fbcda549be3fe1597c810"},"schema_version":"1.0","source":{"id":"1406.3606","kind":"arxiv","version":1}},"canonical_sha256":"a4009ea40dc9ef6c70dd0aae41e9c0bbc7238da3445363cbdb4efbbca9a1dd6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4009ea40dc9ef6c70dd0aae41e9c0bbc7238da3445363cbdb4efbbca9a1dd6e","first_computed_at":"2026-05-18T02:49:46.388107Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:46.388107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+nU9wCkdm9vwyWduEezBMbSHib40gCWw6Ty1NXVQ2qYgCCnMHVJbqppJ4DYjAzNndsZ4Z/tsGrDhpCtbqaK5CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:46.388601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3606","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22f0aae00dee68327f58a51caeee0a4d24ee7a6943aebe8571d208d836a32c17","sha256:4d980f479061b5cadf73ed606b2ef48679fb17ef86fe257d72446616debcdb80"],"state_sha256":"53e68f24cbff63f057507b0ac8b9c3527fe2a908f9a350b0d806d529385f0940"}