{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:L4UJP2G3PUHUMO6A3SGDOU6GFH","short_pith_number":"pith:L4UJP2G3","schema_version":"1.0","canonical_sha256":"5f2897e8db7d0f463bc0dc8c3753c629cce0ba80fd5b1290a4905cca5fab69e2","source":{"kind":"arxiv","id":"1609.00976","version":2},"attestation_state":"computed","paper":{"title":"Oscillatory Integrals and Fractal Dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Domagoj Vlah, Jean-Philippe Rolin, Vesna Zupanovic","submitted_at":"2016-09-04T19:11:55Z","abstract_excerpt":"We study geometrical representation of oscillatory integrals with an analytic phase function and a smooth amplitude with compact support. Geometrical properties of the curves defined by the oscillatory integral depend on the type of a critical point of the phase. We give explicit formulas for the box dimension and the Minkowski content of these curves. Methods include Newton diagrams and the resolution of singularities."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1609.00976","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-09-04T19:11:55Z","cross_cats_sorted":[],"title_canon_sha256":"8ef6d6af2f5e8f40940bb17b52a54a8b6a2e7b93bd36a7a228e19ce381503fc2","abstract_canon_sha256":"2a45ea54c9309e7cbdd967e9421a4e0d762e298edd014542c19d7ff8ef83cfd4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:08.698324Z","signature_b64":"pxXv7rh7oN4ZT7Ck8eedyek3TrvKFHDxmDqy3GFMPMLQQk+5ls/PBhP57k3EauiYGwb6J/aOGN9yRKJY3T9BDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f2897e8db7d0f463bc0dc8c3753c629cce0ba80fd5b1290a4905cca5fab69e2","last_reissued_at":"2026-05-18T01:04:08.697765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:08.697765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Oscillatory Integrals and Fractal Dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Domagoj Vlah, Jean-Philippe Rolin, Vesna Zupanovic","submitted_at":"2016-09-04T19:11:55Z","abstract_excerpt":"We study geometrical representation of oscillatory integrals with an analytic phase function and a smooth amplitude with compact support. Geometrical properties of the curves defined by the oscillatory integral depend on the type of a critical point of the phase. We give explicit formulas for the box dimension and the Minkowski content of these curves. Methods include Newton diagrams and the resolution of singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00976","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.00976","created_at":"2026-05-18T01:04:08.697856+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.00976v2","created_at":"2026-05-18T01:04:08.697856+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00976","created_at":"2026-05-18T01:04:08.697856+00:00"},{"alias_kind":"pith_short_12","alias_value":"L4UJP2G3PUHU","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"L4UJP2G3PUHUMO6A","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"L4UJP2G3","created_at":"2026-05-18T12:30:29.479603+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L4UJP2G3PUHUMO6A3SGDOU6GFH","json":"https://pith.science/pith/L4UJP2G3PUHUMO6A3SGDOU6GFH.json","graph_json":"https://pith.science/api/pith-number/L4UJP2G3PUHUMO6A3SGDOU6GFH/graph.json","events_json":"https://pith.science/api/pith-number/L4UJP2G3PUHUMO6A3SGDOU6GFH/events.json","paper":"https://pith.science/paper/L4UJP2G3"},"agent_actions":{"view_html":"https://pith.science/pith/L4UJP2G3PUHUMO6A3SGDOU6GFH","download_json":"https://pith.science/pith/L4UJP2G3PUHUMO6A3SGDOU6GFH.json","view_paper":"https://pith.science/paper/L4UJP2G3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.00976&json=true","fetch_graph":"https://pith.science/api/pith-number/L4UJP2G3PUHUMO6A3SGDOU6GFH/graph.json","fetch_events":"https://pith.science/api/pith-number/L4UJP2G3PUHUMO6A3SGDOU6GFH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L4UJP2G3PUHUMO6A3SGDOU6GFH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L4UJP2G3PUHUMO6A3SGDOU6GFH/action/storage_attestation","attest_author":"https://pith.science/pith/L4UJP2G3PUHUMO6A3SGDOU6GFH/action/author_attestation","sign_citation":"https://pith.science/pith/L4UJP2G3PUHUMO6A3SGDOU6GFH/action/citation_signature","submit_replication":"https://pith.science/pith/L4UJP2G3PUHUMO6A3SGDOU6GFH/action/replication_record"}},"created_at":"2026-05-18T01:04:08.697856+00:00","updated_at":"2026-05-18T01:04:08.697856+00:00"}