{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2TJ3WQZGI7MQGZQXDTM6QWDS7S","short_pith_number":"pith:2TJ3WQZG","schema_version":"1.0","canonical_sha256":"d4d3bb432647d90366171cd9e85872fcb9de1148228c5805bbb97c5ada792202","source":{"kind":"arxiv","id":"1506.06593","version":1},"attestation_state":"computed","paper":{"title":"Effective Summation and Interpolation of Series by Self-Similar Root Approximants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"S. Gluzman, V.I. Yukalov","submitted_at":"2015-06-22T13:35:45Z","abstract_excerpt":"We describe a simple analytical method for effective summation of series, including divergent series. The method is based on self-similar approximation theory resulting in self-similar root approximants. The method is shown to be general and applicable to different problems, as is illustrated by a number of examples. The accuracy of the method is not worse, and in many cases better, than that of Pade approximants, when the latter can be defined."},"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":"1506.06593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-22T13:35:45Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"title_canon_sha256":"9382e49e33bdd218110b6f9e6e1da5b4a75f7a610a13594662e3f210e43b3577","abstract_canon_sha256":"5e5df28195a67ce6b3283273637a235571f28d0f4167fa7e75088205e576dbed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:44.775965Z","signature_b64":"x95CRppxUBaN4UwO7H26LpnoREGHBP7CFZ3hEDblDlin/BxgY/JoSPO9sbUa1n70Iad6RQoldI80y5rzZcABCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4d3bb432647d90366171cd9e85872fcb9de1148228c5805bbb97c5ada792202","last_reissued_at":"2026-05-18T01:41:44.775273Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:44.775273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective Summation and Interpolation of Series by Self-Similar Root Approximants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"S. Gluzman, V.I. Yukalov","submitted_at":"2015-06-22T13:35:45Z","abstract_excerpt":"We describe a simple analytical method for effective summation of series, including divergent series. The method is based on self-similar approximation theory resulting in self-similar root approximants. The method is shown to be general and applicable to different problems, as is illustrated by a number of examples. The accuracy of the method is not worse, and in many cases better, than that of Pade approximants, when the latter can be defined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06593","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":"1506.06593","created_at":"2026-05-18T01:41:44.775372+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.06593v1","created_at":"2026-05-18T01:41:44.775372+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06593","created_at":"2026-05-18T01:41:44.775372+00:00"},{"alias_kind":"pith_short_12","alias_value":"2TJ3WQZGI7MQ","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2TJ3WQZGI7MQGZQX","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2TJ3WQZG","created_at":"2026-05-18T12:29:02.477457+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/2TJ3WQZGI7MQGZQXDTM6QWDS7S","json":"https://pith.science/pith/2TJ3WQZGI7MQGZQXDTM6QWDS7S.json","graph_json":"https://pith.science/api/pith-number/2TJ3WQZGI7MQGZQXDTM6QWDS7S/graph.json","events_json":"https://pith.science/api/pith-number/2TJ3WQZGI7MQGZQXDTM6QWDS7S/events.json","paper":"https://pith.science/paper/2TJ3WQZG"},"agent_actions":{"view_html":"https://pith.science/pith/2TJ3WQZGI7MQGZQXDTM6QWDS7S","download_json":"https://pith.science/pith/2TJ3WQZGI7MQGZQXDTM6QWDS7S.json","view_paper":"https://pith.science/paper/2TJ3WQZG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.06593&json=true","fetch_graph":"https://pith.science/api/pith-number/2TJ3WQZGI7MQGZQXDTM6QWDS7S/graph.json","fetch_events":"https://pith.science/api/pith-number/2TJ3WQZGI7MQGZQXDTM6QWDS7S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2TJ3WQZGI7MQGZQXDTM6QWDS7S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2TJ3WQZGI7MQGZQXDTM6QWDS7S/action/storage_attestation","attest_author":"https://pith.science/pith/2TJ3WQZGI7MQGZQXDTM6QWDS7S/action/author_attestation","sign_citation":"https://pith.science/pith/2TJ3WQZGI7MQGZQXDTM6QWDS7S/action/citation_signature","submit_replication":"https://pith.science/pith/2TJ3WQZGI7MQGZQXDTM6QWDS7S/action/replication_record"}},"created_at":"2026-05-18T01:41:44.775372+00:00","updated_at":"2026-05-18T01:41:44.775372+00:00"}