{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ERWWIWGVLWFMIZBVQY2GXBP3ZD","short_pith_number":"pith:ERWWIWGV","canonical_record":{"source":{"id":"1406.0137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-01T06:53:00Z","cross_cats_sorted":[],"title_canon_sha256":"6145e95211dadbb63a9c1e977ebf0608bdcee383dc276dbe93c273f885a98d4f","abstract_canon_sha256":"81556bbff3a07c490a265706d214fe4a8603b3c1b1f8ea64bdec88f36cf70d3b"},"schema_version":"1.0"},"canonical_sha256":"246d6458d55d8ac4643586346b85fbc8f6f095b346d8b054d8b87496e15c9380","source":{"kind":"arxiv","id":"1406.0137","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0137","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0137v1","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0137","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"ERWWIWGVLWFM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERWWIWGVLWFMIZBV","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERWWIWGV","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ERWWIWGVLWFMIZBVQY2GXBP3ZD","target":"record","payload":{"canonical_record":{"source":{"id":"1406.0137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-01T06:53:00Z","cross_cats_sorted":[],"title_canon_sha256":"6145e95211dadbb63a9c1e977ebf0608bdcee383dc276dbe93c273f885a98d4f","abstract_canon_sha256":"81556bbff3a07c490a265706d214fe4a8603b3c1b1f8ea64bdec88f36cf70d3b"},"schema_version":"1.0"},"canonical_sha256":"246d6458d55d8ac4643586346b85fbc8f6f095b346d8b054d8b87496e15c9380","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:41.672366Z","signature_b64":"1TvyOLbv4CUGjPFcSMmjyOKtKUga6i8do5B032bgZ26NzoYeK5+zbvpYK3asi95NMsSJigrmhCIkigNL0ReEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"246d6458d55d8ac4643586346b85fbc8f6f095b346d8b054d8b87496e15c9380","last_reissued_at":"2026-05-18T02:50:41.671691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:41.671691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.0137","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:50:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U/U9h6XAqynwZzhJ+KCByZ6gf2mXgaXqfZu84yLFQKHt8U9OC9HRkYe5ka6zLZQY45N4t8c6P2N1aReMstDhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:32:19.678019Z"},"content_sha256":"6ef41cdd26a3d8c5eb6aeffcfa3445e89fb02d28768a49ce9e52dfe836f3ec43","schema_version":"1.0","event_id":"sha256:6ef41cdd26a3d8c5eb6aeffcfa3445e89fb02d28768a49ce9e52dfe836f3ec43"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ERWWIWGVLWFMIZBVQY2GXBP3ZD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Harmonic analysis associated with the hyper-Bessel operator on the complex plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ahmed Fitouhi, L. Bennasr, M. S. Ben Hammouda","submitted_at":"2014-06-01T06:53:00Z","abstract_excerpt":"We investigate the harmonic analysis associated with the hyper-Bessel operator on C, and we prove the chaotic character of the related convolution operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0137","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:50:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1OAYeya2CuNjfbkjk8CvIzMVLKF0m93gTSAxtHIWY/6P39u+P/1r5IpkYNIOezGGtSgjji0MEz9LngjwzEAeCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:32:19.678363Z"},"content_sha256":"aceb4887250bfbc15559ccc8efdb4b381d3afae621577dc894e0e5a03b0bf239","schema_version":"1.0","event_id":"sha256:aceb4887250bfbc15559ccc8efdb4b381d3afae621577dc894e0e5a03b0bf239"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ERWWIWGVLWFMIZBVQY2GXBP3ZD/bundle.json","state_url":"https://pith.science/pith/ERWWIWGVLWFMIZBVQY2GXBP3ZD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ERWWIWGVLWFMIZBVQY2GXBP3ZD/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":"2026-06-23T00:32:19Z","links":{"resolver":"https://pith.science/pith/ERWWIWGVLWFMIZBVQY2GXBP3ZD","bundle":"https://pith.science/pith/ERWWIWGVLWFMIZBVQY2GXBP3ZD/bundle.json","state":"https://pith.science/pith/ERWWIWGVLWFMIZBVQY2GXBP3ZD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ERWWIWGVLWFMIZBVQY2GXBP3ZD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ERWWIWGVLWFMIZBVQY2GXBP3ZD","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":"81556bbff3a07c490a265706d214fe4a8603b3c1b1f8ea64bdec88f36cf70d3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-01T06:53:00Z","title_canon_sha256":"6145e95211dadbb63a9c1e977ebf0608bdcee383dc276dbe93c273f885a98d4f"},"schema_version":"1.0","source":{"id":"1406.0137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0137","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0137v1","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0137","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"ERWWIWGVLWFM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERWWIWGVLWFMIZBV","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERWWIWGV","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:aceb4887250bfbc15559ccc8efdb4b381d3afae621577dc894e0e5a03b0bf239","target":"graph","created_at":"2026-05-18T02:50:41Z","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":"We investigate the harmonic analysis associated with the hyper-Bessel operator on C, and we prove the chaotic character of the related convolution operators.","authors_text":"Ahmed Fitouhi, L. Bennasr, M. S. Ben Hammouda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-01T06:53:00Z","title":"On Harmonic analysis associated with the hyper-Bessel operator on the complex plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0137","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":"sha256:6ef41cdd26a3d8c5eb6aeffcfa3445e89fb02d28768a49ce9e52dfe836f3ec43","target":"record","created_at":"2026-05-18T02:50:41Z","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":"81556bbff3a07c490a265706d214fe4a8603b3c1b1f8ea64bdec88f36cf70d3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-01T06:53:00Z","title_canon_sha256":"6145e95211dadbb63a9c1e977ebf0608bdcee383dc276dbe93c273f885a98d4f"},"schema_version":"1.0","source":{"id":"1406.0137","kind":"arxiv","version":1}},"canonical_sha256":"246d6458d55d8ac4643586346b85fbc8f6f095b346d8b054d8b87496e15c9380","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"246d6458d55d8ac4643586346b85fbc8f6f095b346d8b054d8b87496e15c9380","first_computed_at":"2026-05-18T02:50:41.671691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:41.671691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1TvyOLbv4CUGjPFcSMmjyOKtKUga6i8do5B032bgZ26NzoYeK5+zbvpYK3asi95NMsSJigrmhCIkigNL0ReEAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:41.672366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ef41cdd26a3d8c5eb6aeffcfa3445e89fb02d28768a49ce9e52dfe836f3ec43","sha256:aceb4887250bfbc15559ccc8efdb4b381d3afae621577dc894e0e5a03b0bf239"],"state_sha256":"a5146c0e49026e3bf7a174afcf4b800f63a761319ac017e5a60c9b2845b4688c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1KB1AwCYsJ2RLhTkHxXOxOeNUIsVTt+EgNFeG8TSJtd8tRO84UjsELBWx9YLM7lS2Ssw3KHhgnUF9KQNCMlRCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T00:32:19.680401Z","bundle_sha256":"db15ecc88a41ada603a0c1eb057941fbce9208f879275e1bba2790e977592316"}}