{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RUG6N5T6L6FDQIRERK6LNIEGTU","short_pith_number":"pith:RUG6N5T6","canonical_record":{"source":{"id":"1604.05862","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-04-20T08:59:20Z","cross_cats_sorted":[],"title_canon_sha256":"9f804b427e00912c02a30886698164bf5393d38d8630b8279e15059e1f5725d5","abstract_canon_sha256":"ae40a9281608f408b47b562e2596faa0cd9a585e44783136f0224ec1b24d338e"},"schema_version":"1.0"},"canonical_sha256":"8d0de6f67e5f8a3822248abcb6a0869d303b8acc286f5cb9099b1ec05c30b691","source":{"kind":"arxiv","id":"1604.05862","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05862","created_at":"2026-05-18T00:52:50Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05862v2","created_at":"2026-05-18T00:52:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05862","created_at":"2026-05-18T00:52:50Z"},{"alias_kind":"pith_short_12","alias_value":"RUG6N5T6L6FD","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RUG6N5T6L6FDQIRE","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RUG6N5T6","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RUG6N5T6L6FDQIRERK6LNIEGTU","target":"record","payload":{"canonical_record":{"source":{"id":"1604.05862","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-04-20T08:59:20Z","cross_cats_sorted":[],"title_canon_sha256":"9f804b427e00912c02a30886698164bf5393d38d8630b8279e15059e1f5725d5","abstract_canon_sha256":"ae40a9281608f408b47b562e2596faa0cd9a585e44783136f0224ec1b24d338e"},"schema_version":"1.0"},"canonical_sha256":"8d0de6f67e5f8a3822248abcb6a0869d303b8acc286f5cb9099b1ec05c30b691","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:50.361983Z","signature_b64":"nVioYb5qBPsew1oiwd/xiojCsUf2bip7e4d56ov7h31hR9Nr9w6iimYefYKauHZcQEnPl8sv1miKoCmzlKPlBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d0de6f67e5f8a3822248abcb6a0869d303b8acc286f5cb9099b1ec05c30b691","last_reissued_at":"2026-05-18T00:52:50.361322Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:50.361322Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.05862","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3fqBI+M9x3CYme698zXrcZj9aC4JDTcCKhKfX4EnVKPHqqi75m2pD9Elro/0sQ6Z1tNmapht+ZyRiu98nEi5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:19:26.570829Z"},"content_sha256":"77f45cbfc38f51e5a41801dc3327efc9e7fa8e349a9525db27da0821107fb404","schema_version":"1.0","event_id":"sha256:77f45cbfc38f51e5a41801dc3327efc9e7fa8e349a9525db27da0821107fb404"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RUG6N5T6L6FDQIRERK6LNIEGTU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Determination of a jump by Fourier and Fourier-Chebyshev series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Muharem Avdispahi\\'c, Zenan \\v{S}abanac","submitted_at":"2016-04-20T08:59:20Z","abstract_excerpt":"By observing the equivalence of assertions on determining the jump of a function by its differentiated or integrated Fourier series, we generalize a previous result of Kvernadze, Hagstrom and Shapiro to the whole class of functions of harmonic bounded variation and without finiteness assumption on the number of discontinuities. Two results on determination of jump discontinuities by means of the tails of integrated Fourier-Chebyshev series are derived."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05862","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/MZDKmkhIF6UBkKvrZ1xu7CJanv2lCT/xKyhoxW3a8r/2M0Z0IC5zkXXfbu805/FKV8+y/4Oj8Hm3JhklNsXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:19:26.571180Z"},"content_sha256":"2e733311e375552c740b9fcc316a2af2e2bdd7f2e1c3d48da98a62a4ff2a72fa","schema_version":"1.0","event_id":"sha256:2e733311e375552c740b9fcc316a2af2e2bdd7f2e1c3d48da98a62a4ff2a72fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RUG6N5T6L6FDQIRERK6LNIEGTU/bundle.json","state_url":"https://pith.science/pith/RUG6N5T6L6FDQIRERK6LNIEGTU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RUG6N5T6L6FDQIRERK6LNIEGTU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T15:19:26Z","links":{"resolver":"https://pith.science/pith/RUG6N5T6L6FDQIRERK6LNIEGTU","bundle":"https://pith.science/pith/RUG6N5T6L6FDQIRERK6LNIEGTU/bundle.json","state":"https://pith.science/pith/RUG6N5T6L6FDQIRERK6LNIEGTU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RUG6N5T6L6FDQIRERK6LNIEGTU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RUG6N5T6L6FDQIRERK6LNIEGTU","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":"ae40a9281608f408b47b562e2596faa0cd9a585e44783136f0224ec1b24d338e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-04-20T08:59:20Z","title_canon_sha256":"9f804b427e00912c02a30886698164bf5393d38d8630b8279e15059e1f5725d5"},"schema_version":"1.0","source":{"id":"1604.05862","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05862","created_at":"2026-05-18T00:52:50Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05862v2","created_at":"2026-05-18T00:52:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05862","created_at":"2026-05-18T00:52:50Z"},{"alias_kind":"pith_short_12","alias_value":"RUG6N5T6L6FD","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RUG6N5T6L6FDQIRE","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RUG6N5T6","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:2e733311e375552c740b9fcc316a2af2e2bdd7f2e1c3d48da98a62a4ff2a72fa","target":"graph","created_at":"2026-05-18T00:52:50Z","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":"By observing the equivalence of assertions on determining the jump of a function by its differentiated or integrated Fourier series, we generalize a previous result of Kvernadze, Hagstrom and Shapiro to the whole class of functions of harmonic bounded variation and without finiteness assumption on the number of discontinuities. Two results on determination of jump discontinuities by means of the tails of integrated Fourier-Chebyshev series are derived.","authors_text":"Muharem Avdispahi\\'c, Zenan \\v{S}abanac","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-04-20T08:59:20Z","title":"Determination of a jump by Fourier and Fourier-Chebyshev series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05862","kind":"arxiv","version":2},"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":"sha256:77f45cbfc38f51e5a41801dc3327efc9e7fa8e349a9525db27da0821107fb404","target":"record","created_at":"2026-05-18T00:52:50Z","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":"ae40a9281608f408b47b562e2596faa0cd9a585e44783136f0224ec1b24d338e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-04-20T08:59:20Z","title_canon_sha256":"9f804b427e00912c02a30886698164bf5393d38d8630b8279e15059e1f5725d5"},"schema_version":"1.0","source":{"id":"1604.05862","kind":"arxiv","version":2}},"canonical_sha256":"8d0de6f67e5f8a3822248abcb6a0869d303b8acc286f5cb9099b1ec05c30b691","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d0de6f67e5f8a3822248abcb6a0869d303b8acc286f5cb9099b1ec05c30b691","first_computed_at":"2026-05-18T00:52:50.361322Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:50.361322Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nVioYb5qBPsew1oiwd/xiojCsUf2bip7e4d56ov7h31hR9Nr9w6iimYefYKauHZcQEnPl8sv1miKoCmzlKPlBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:50.361983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05862","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77f45cbfc38f51e5a41801dc3327efc9e7fa8e349a9525db27da0821107fb404","sha256:2e733311e375552c740b9fcc316a2af2e2bdd7f2e1c3d48da98a62a4ff2a72fa"],"state_sha256":"d2d0ab08db2e8fb1154aa2dfc7c13159200b38281db3d7303d623076a7ee0c9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ml8coun3kdlsf/zlvSGmT5KBzQb1UzJRCjXqpBzGoKUK+IWm9czmbDQRxbePjM3TyrfR8It9yR5+Rt0aneL4Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T15:19:26.573255Z","bundle_sha256":"fcb0123e40c27a3f7d5393fcc54acf516b0eb70b80ce55d7410230ed9760f4da"}}