{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6JWIGZ7VTW5FB4F5BTQ7X7WYAT","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":"a7f818c286ec9cd786d36f976275912fe4913a13ba7b7b2310eda7ca52b9d78d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-10-24T10:22:28Z","title_canon_sha256":"b7647cfc9d50978a64a50a8dc2095193570c5a550577cadacce6e335da8e8a88"},"schema_version":"1.0","source":{"id":"1810.10280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.10280","created_at":"2026-05-18T00:02:23Z"},{"alias_kind":"arxiv_version","alias_value":"1810.10280v1","created_at":"2026-05-18T00:02:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10280","created_at":"2026-05-18T00:02:23Z"},{"alias_kind":"pith_short_12","alias_value":"6JWIGZ7VTW5F","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"6JWIGZ7VTW5FB4F5","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"6JWIGZ7V","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:0598d7dcef349c4f75b0a7aaf12488b2e1ad06549b98edea00564120947a0e73","target":"graph","created_at":"2026-05-18T00:02:23Z","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":"In this paper, we introduce some difference sequence spaces in bigeometric calculus. We determine the $\\alpha$-duals of these sequence spaces and study their matrix transformations. We also develop an interpolating polynomial in bigeometric calculus which is analogous to the classical Hermite interpolating polynomial.","authors_text":"Atanu Manna, P. D. Srivastava, Sanjay Kumar Mahto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-10-24T10:22:28Z","title":"Bigeometric Ces$\\grave{\\text{a}}$ro difference sequence spaces and Hermite interpolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10280","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:d7151199b2110691d05323794f527d58be8c041aa34f3969de3af4deff06bc86","target":"record","created_at":"2026-05-18T00:02:23Z","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":"a7f818c286ec9cd786d36f976275912fe4913a13ba7b7b2310eda7ca52b9d78d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-10-24T10:22:28Z","title_canon_sha256":"b7647cfc9d50978a64a50a8dc2095193570c5a550577cadacce6e335da8e8a88"},"schema_version":"1.0","source":{"id":"1810.10280","kind":"arxiv","version":1}},"canonical_sha256":"f26c8367f59dba50f0bd0ce1fbfed804d18397e77c14c57e4feb63013382eb74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f26c8367f59dba50f0bd0ce1fbfed804d18397e77c14c57e4feb63013382eb74","first_computed_at":"2026-05-18T00:02:23.666810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:23.666810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6zqfCk3zUQNL/VDMCt7aobEWm5mkpoc6iw1rh0sRTWv4LSwVZXWqSZb1Y0MrcUu88BYbGISKuvDJMGN+2wOsAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:23.667588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.10280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7151199b2110691d05323794f527d58be8c041aa34f3969de3af4deff06bc86","sha256:0598d7dcef349c4f75b0a7aaf12488b2e1ad06549b98edea00564120947a0e73"],"state_sha256":"d3dd81ab0449d27a22d2389df5e7ea9d45451c2cdfb7c254898a5f6f75ade817"}