{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KCH7DVSMKBBVSUWVTQOFGITQ2Q","short_pith_number":"pith:KCH7DVSM","canonical_record":{"source":{"id":"1503.08793","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-26T12:14:35Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"c27b10153c4d3c78ccd1d19e95d12b46bdd903ce18ec84a3446337b8e730bf3c","abstract_canon_sha256":"b23483d4ff7e1e7fadd32e11c6b3c912b5ec33f862212b305d455e36c5586a66"},"schema_version":"1.0"},"canonical_sha256":"508ff1d64c50435952d59c1c532270d4027ff850337727a12e951f14e82e6b98","source":{"kind":"arxiv","id":"1503.08793","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.08793","created_at":"2026-05-18T01:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"1503.08793v2","created_at":"2026-05-18T01:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08793","created_at":"2026-05-18T01:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"KCH7DVSMKBBV","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KCH7DVSMKBBVSUWV","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KCH7DVSM","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KCH7DVSMKBBVSUWVTQOFGITQ2Q","target":"record","payload":{"canonical_record":{"source":{"id":"1503.08793","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-26T12:14:35Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"c27b10153c4d3c78ccd1d19e95d12b46bdd903ce18ec84a3446337b8e730bf3c","abstract_canon_sha256":"b23483d4ff7e1e7fadd32e11c6b3c912b5ec33f862212b305d455e36c5586a66"},"schema_version":"1.0"},"canonical_sha256":"508ff1d64c50435952d59c1c532270d4027ff850337727a12e951f14e82e6b98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:16.038945Z","signature_b64":"BqzROPhqrrkRAUcAeniBxQgaW1yVgEGoCGrOJ1ftgjiT48GXUD4IO2tU9dJSejgXCS0eX4lFRcIxHVztDzQhBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"508ff1d64c50435952d59c1c532270d4027ff850337727a12e951f14e82e6b98","last_reissued_at":"2026-05-18T01:35:16.038311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:16.038311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.08793","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":"2026-05-18T01:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KWI4D/+Klc+YDHQ5PIiAF8j2NU/cnZn9kEdvGkwozGR4nkRIcOm0mA7KgQjMRPEy1NqdwY8upU2tMuf3dCvbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:37:10.531817Z"},"content_sha256":"b5e10cbdaad79aeac55abed8ca84151f0fc060d72ebb7e4bfd16a5bfab5ec6a8","schema_version":"1.0","event_id":"sha256:b5e10cbdaad79aeac55abed8ca84151f0fc060d72ebb7e4bfd16a5bfab5ec6a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KCH7DVSMKBBVSUWVTQOFGITQ2Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on Tauberian Theorems of Exponential Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Meitner Cadena","submitted_at":"2015-03-26T12:14:35Z","abstract_excerpt":"Tauberian Theorems of exponential type provided by Kohlbecker, de Bruijn, and Kasahara are proved in only one Tauberian theorem. To this aim, the structure of those classical tauberian theorems is identified and, using a relationship recently proved by Cadena and Kratz, the relationships among its components are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08793","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":"2026-05-18T01:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oFoEo98VACxA84Z8AWXIwncM43CGvWDJ6rDd4Db6KjOVitskEcHRa2HenjJIHaJBFK0+gmr9rBMEbdLonEJeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:37:10.532173Z"},"content_sha256":"d2adb6a22b7f29cd84dfb3cdda776805343725cd769968be6e39be457362d8b7","schema_version":"1.0","event_id":"sha256:d2adb6a22b7f29cd84dfb3cdda776805343725cd769968be6e39be457362d8b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KCH7DVSMKBBVSUWVTQOFGITQ2Q/bundle.json","state_url":"https://pith.science/pith/KCH7DVSMKBBVSUWVTQOFGITQ2Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KCH7DVSMKBBVSUWVTQOFGITQ2Q/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":"2026-05-28T08:37:10Z","links":{"resolver":"https://pith.science/pith/KCH7DVSMKBBVSUWVTQOFGITQ2Q","bundle":"https://pith.science/pith/KCH7DVSMKBBVSUWVTQOFGITQ2Q/bundle.json","state":"https://pith.science/pith/KCH7DVSMKBBVSUWVTQOFGITQ2Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KCH7DVSMKBBVSUWVTQOFGITQ2Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KCH7DVSMKBBVSUWVTQOFGITQ2Q","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":"b23483d4ff7e1e7fadd32e11c6b3c912b5ec33f862212b305d455e36c5586a66","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-26T12:14:35Z","title_canon_sha256":"c27b10153c4d3c78ccd1d19e95d12b46bdd903ce18ec84a3446337b8e730bf3c"},"schema_version":"1.0","source":{"id":"1503.08793","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.08793","created_at":"2026-05-18T01:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"1503.08793v2","created_at":"2026-05-18T01:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08793","created_at":"2026-05-18T01:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"KCH7DVSMKBBV","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KCH7DVSMKBBVSUWV","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KCH7DVSM","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:d2adb6a22b7f29cd84dfb3cdda776805343725cd769968be6e39be457362d8b7","target":"graph","created_at":"2026-05-18T01:35:16Z","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":"Tauberian Theorems of exponential type provided by Kohlbecker, de Bruijn, and Kasahara are proved in only one Tauberian theorem. To this aim, the structure of those classical tauberian theorems is identified and, using a relationship recently proved by Cadena and Kratz, the relationships among its components are given.","authors_text":"Meitner Cadena","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-26T12:14:35Z","title":"A note on Tauberian Theorems of Exponential Type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08793","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:b5e10cbdaad79aeac55abed8ca84151f0fc060d72ebb7e4bfd16a5bfab5ec6a8","target":"record","created_at":"2026-05-18T01:35:16Z","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":"b23483d4ff7e1e7fadd32e11c6b3c912b5ec33f862212b305d455e36c5586a66","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-26T12:14:35Z","title_canon_sha256":"c27b10153c4d3c78ccd1d19e95d12b46bdd903ce18ec84a3446337b8e730bf3c"},"schema_version":"1.0","source":{"id":"1503.08793","kind":"arxiv","version":2}},"canonical_sha256":"508ff1d64c50435952d59c1c532270d4027ff850337727a12e951f14e82e6b98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"508ff1d64c50435952d59c1c532270d4027ff850337727a12e951f14e82e6b98","first_computed_at":"2026-05-18T01:35:16.038311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:16.038311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BqzROPhqrrkRAUcAeniBxQgaW1yVgEGoCGrOJ1ftgjiT48GXUD4IO2tU9dJSejgXCS0eX4lFRcIxHVztDzQhBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:16.038945Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.08793","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5e10cbdaad79aeac55abed8ca84151f0fc060d72ebb7e4bfd16a5bfab5ec6a8","sha256:d2adb6a22b7f29cd84dfb3cdda776805343725cd769968be6e39be457362d8b7"],"state_sha256":"315cc822a4a58c987a95485d35e6fe18c691540c26213e8c918b098ced92bcc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gRRe5t3TIagdO23n76e1e2RAX9Xur3zbkgReA+zU+okDFAD2lcp/YHY9lamXAG7hMeV3OfRxIRpGL57GsVxsBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T08:37:10.534160Z","bundle_sha256":"8dc8136bc4dd3ece4c36bcc7acc3dae99a5ff70aaab4424e00722174aebe7518"}}