{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:5JDRVBMUWYF444JIM4QPJZGKQ2","short_pith_number":"pith:5JDRVBMU","schema_version":"1.0","canonical_sha256":"ea471a8594b60bce71286720f4e4ca869aa0c7534e6816d4aafd9b7415fb2dc9","source":{"kind":"arxiv","id":"1011.6490","version":1},"attestation_state":"computed","paper":{"title":"On the ambiguity of functions represented by divergent power series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math.MP"],"primary_cat":"math-ph","authors_text":"Irinel Caprini, Ivo Vrko\\v{c}, Jan Fischer","submitted_at":"2010-11-30T09:08:57Z","abstract_excerpt":"Assuming the asymptotic character of divergent perturbation series, we address the problem of ambiguity of a function determined by an asymptotic power expansion. We consider functions represented by an integral of the Laplace-Borel type, with a curvilinear integration contour. This paper is a continuation of results recently obtained by us in a previous work. Our new result contained in Lemma 3 of the present paper represents a further extension of the class of contours of integration (and, by this, of the class of functions possessing a given asymptotic expansion), allowing the curves to int"},"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":"1011.6490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-11-30T09:08:57Z","cross_cats_sorted":["hep-ph","math.MP"],"title_canon_sha256":"4fe1e02afaf8fa530c545d1f7495bae85277b6c0f0c82b2e0e51854541b714a0","abstract_canon_sha256":"12bc880edc4338c00e1b3379028dece1818cb5d84a0ba9a1e044a9ca66927ddc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:45.083341Z","signature_b64":"v9A6UEx8QAeLauYGZsX/H6CQx44TFaNtdoqTrNVzfgJfG3YYbDwzesBdtBb54uMSVPf1F6Rct+REf5ZIWvNvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea471a8594b60bce71286720f4e4ca869aa0c7534e6816d4aafd9b7415fb2dc9","last_reissued_at":"2026-05-18T04:14:45.082893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:45.082893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the ambiguity of functions represented by divergent power series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math.MP"],"primary_cat":"math-ph","authors_text":"Irinel Caprini, Ivo Vrko\\v{c}, Jan Fischer","submitted_at":"2010-11-30T09:08:57Z","abstract_excerpt":"Assuming the asymptotic character of divergent perturbation series, we address the problem of ambiguity of a function determined by an asymptotic power expansion. We consider functions represented by an integral of the Laplace-Borel type, with a curvilinear integration contour. This paper is a continuation of results recently obtained by us in a previous work. Our new result contained in Lemma 3 of the present paper represents a further extension of the class of contours of integration (and, by this, of the class of functions possessing a given asymptotic expansion), allowing the curves to int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6490","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":""},"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":"1011.6490","created_at":"2026-05-18T04:14:45.082970+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.6490v1","created_at":"2026-05-18T04:14:45.082970+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6490","created_at":"2026-05-18T04:14:45.082970+00:00"},{"alias_kind":"pith_short_12","alias_value":"5JDRVBMUWYF4","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"5JDRVBMUWYF444JI","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"5JDRVBMU","created_at":"2026-05-18T12:26:04.259169+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/5JDRVBMUWYF444JIM4QPJZGKQ2","json":"https://pith.science/pith/5JDRVBMUWYF444JIM4QPJZGKQ2.json","graph_json":"https://pith.science/api/pith-number/5JDRVBMUWYF444JIM4QPJZGKQ2/graph.json","events_json":"https://pith.science/api/pith-number/5JDRVBMUWYF444JIM4QPJZGKQ2/events.json","paper":"https://pith.science/paper/5JDRVBMU"},"agent_actions":{"view_html":"https://pith.science/pith/5JDRVBMUWYF444JIM4QPJZGKQ2","download_json":"https://pith.science/pith/5JDRVBMUWYF444JIM4QPJZGKQ2.json","view_paper":"https://pith.science/paper/5JDRVBMU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.6490&json=true","fetch_graph":"https://pith.science/api/pith-number/5JDRVBMUWYF444JIM4QPJZGKQ2/graph.json","fetch_events":"https://pith.science/api/pith-number/5JDRVBMUWYF444JIM4QPJZGKQ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5JDRVBMUWYF444JIM4QPJZGKQ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5JDRVBMUWYF444JIM4QPJZGKQ2/action/storage_attestation","attest_author":"https://pith.science/pith/5JDRVBMUWYF444JIM4QPJZGKQ2/action/author_attestation","sign_citation":"https://pith.science/pith/5JDRVBMUWYF444JIM4QPJZGKQ2/action/citation_signature","submit_replication":"https://pith.science/pith/5JDRVBMUWYF444JIM4QPJZGKQ2/action/replication_record"}},"created_at":"2026-05-18T04:14:45.082970+00:00","updated_at":"2026-05-18T04:14:45.082970+00:00"}