{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3E6THF626YTWNRQHSGEX4IE2WD","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":"ab92fa91aeb8e5a21ca3ea260b82e33185499585e5921d4a23c7e7689456a563","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-01-13T07:07:33Z","title_canon_sha256":"ae7fe686bbd4f8e3503061a488079c88e2fba21045d6f7e5b31bcd2c07075f28"},"schema_version":"1.0","source":{"id":"1701.03574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03574","created_at":"2026-05-18T00:52:54Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03574v1","created_at":"2026-05-18T00:52:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03574","created_at":"2026-05-18T00:52:54Z"},{"alias_kind":"pith_short_12","alias_value":"3E6THF626YTW","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3E6THF626YTWNRQH","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3E6THF62","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:1cca198da4c1060f3ecab898c0faab32ab9ad221ea9692c14d33b7858a68469b","target":"graph","created_at":"2026-05-18T00:52:54Z","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 show how under the continuum hypothesis one can obtain an integral representation for elements of the topological dual of the space of functions of bounded variation in terms of Lebesgue and Kolmogorov-Burkill integrals.","authors_text":"Daniel Spector, Nicola Fusco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-01-13T07:07:33Z","title":"A Remark on an Integral Characterization of the Dual of BV"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03574","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":"sha256:30b6fb2222b084fe4ef39c54761f616e4e8802e480fbad40aa0ad6a3b5d8c717","target":"record","created_at":"2026-05-18T00:52:54Z","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":"ab92fa91aeb8e5a21ca3ea260b82e33185499585e5921d4a23c7e7689456a563","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-01-13T07:07:33Z","title_canon_sha256":"ae7fe686bbd4f8e3503061a488079c88e2fba21045d6f7e5b31bcd2c07075f28"},"schema_version":"1.0","source":{"id":"1701.03574","kind":"arxiv","version":1}},"canonical_sha256":"d93d3397daf62766c60791897e209ab0cadbf70ecec956df2210bb2fb668bf06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d93d3397daf62766c60791897e209ab0cadbf70ecec956df2210bb2fb668bf06","first_computed_at":"2026-05-18T00:52:54.460961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:54.460961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xtn0usgMmeqkF45zRaPKY9zHJ6iT9SxwlVU9Ce9F8UmeQDYm4O2WoMmKc20kS8XmjPbHeH9mcAIydErsvRoUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:54.461540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30b6fb2222b084fe4ef39c54761f616e4e8802e480fbad40aa0ad6a3b5d8c717","sha256:1cca198da4c1060f3ecab898c0faab32ab9ad221ea9692c14d33b7858a68469b"],"state_sha256":"5d756ad90511c368e13a8fd8a15512f5c288f1f976a99b8323f2c9590c89950d"}