{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UVWPSKJ5IKGA2CVK6WURJ3JHLN","short_pith_number":"pith:UVWPSKJ5","canonical_record":{"source":{"id":"1305.3933","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-16T20:49:20Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"43c59cda45b0124d4aee5311017b1ab5ba350618827c93b7c64ccd03f09ace77","abstract_canon_sha256":"be2462863ac7ffe25e981aecd2fa4580e4520a106c98535530a8587b279bb114"},"schema_version":"1.0"},"canonical_sha256":"a56cf9293d428c0d0aaaf5a914ed275b6444717e7eb2f24260f460c7a4d3e310","source":{"kind":"arxiv","id":"1305.3933","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3933","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3933v2","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3933","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"UVWPSKJ5IKGA","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UVWPSKJ5IKGA2CVK","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UVWPSKJ5","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UVWPSKJ5IKGA2CVK6WURJ3JHLN","target":"record","payload":{"canonical_record":{"source":{"id":"1305.3933","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-16T20:49:20Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"43c59cda45b0124d4aee5311017b1ab5ba350618827c93b7c64ccd03f09ace77","abstract_canon_sha256":"be2462863ac7ffe25e981aecd2fa4580e4520a106c98535530a8587b279bb114"},"schema_version":"1.0"},"canonical_sha256":"a56cf9293d428c0d0aaaf5a914ed275b6444717e7eb2f24260f460c7a4d3e310","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:32.034651Z","signature_b64":"t8r0LU10QXfo084ndIRWBn8bzp0J5wWkJAzkgFyfXFUL0b1m4BozqZArrDim/9uw835BljXbRZg84WYHaaQwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a56cf9293d428c0d0aaaf5a914ed275b6444717e7eb2f24260f460c7a4d3e310","last_reissued_at":"2026-05-18T02:26:32.034212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:32.034212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.3933","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":"2026-05-18T02:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jK4UlWUNNIEc2YDV5fD78WqHXR+4Bt3emdZud6WtmVmbRkpftiHBOtarf+v8VC9OxYL0L8KlhnNsomAeCByVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T10:46:49.143911Z"},"content_sha256":"2a9820d9b6533a29bd58638f343f6797bc98e732dd14a9aec8bcaabf9c36c953","schema_version":"1.0","event_id":"sha256:2a9820d9b6533a29bd58638f343f6797bc98e732dd14a9aec8bcaabf9c36c953"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UVWPSKJ5IKGA2CVK6WURJ3JHLN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.NT","authors_text":"Hafedh Herichi, Michel L. Lapidus","submitted_at":"2013-05-16T20:49:20Z","abstract_excerpt":"We survey some of the universality properties of the Riemann zeta function $\\zeta(s)$ and then explain how to obtain a natural quantization of Voronin's universality theorem (and of its various extensions). Our work builds on the theory of complex fractal dimensions for fractal strings developed by the second author and M. van Frankenhuijsen in \\cite{La-vF4}. It also makes an essential use of the functional analytic framework developed by the authors in \\cite{HerLa1} for rigorously studying the spectral operator $\\mathfrak{a}$ (mapping the geometry onto the spectrum of generalized fractal stri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3933","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":"2026-05-18T02:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qFycBrFwfoL3yziTVDLBlgJMpvPNxpUn5TPFuPXIYH+jCMd46L8UxM8snNbJ2rAK2FE4WKYYZIsw61jPhedOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T10:46:49.144253Z"},"content_sha256":"1580585213d1f93e4c2a265bf0877316da7c1efcc24b568f1ae2bd256e787369","schema_version":"1.0","event_id":"sha256:1580585213d1f93e4c2a265bf0877316da7c1efcc24b568f1ae2bd256e787369"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UVWPSKJ5IKGA2CVK6WURJ3JHLN/bundle.json","state_url":"https://pith.science/pith/UVWPSKJ5IKGA2CVK6WURJ3JHLN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UVWPSKJ5IKGA2CVK6WURJ3JHLN/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":"2026-06-21T10:46:49Z","links":{"resolver":"https://pith.science/pith/UVWPSKJ5IKGA2CVK6WURJ3JHLN","bundle":"https://pith.science/pith/UVWPSKJ5IKGA2CVK6WURJ3JHLN/bundle.json","state":"https://pith.science/pith/UVWPSKJ5IKGA2CVK6WURJ3JHLN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UVWPSKJ5IKGA2CVK6WURJ3JHLN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UVWPSKJ5IKGA2CVK6WURJ3JHLN","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":"be2462863ac7ffe25e981aecd2fa4580e4520a106c98535530a8587b279bb114","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-16T20:49:20Z","title_canon_sha256":"43c59cda45b0124d4aee5311017b1ab5ba350618827c93b7c64ccd03f09ace77"},"schema_version":"1.0","source":{"id":"1305.3933","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3933","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3933v2","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3933","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"UVWPSKJ5IKGA","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UVWPSKJ5IKGA2CVK","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UVWPSKJ5","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:1580585213d1f93e4c2a265bf0877316da7c1efcc24b568f1ae2bd256e787369","target":"graph","created_at":"2026-05-18T02:26:32Z","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 survey some of the universality properties of the Riemann zeta function $\\zeta(s)$ and then explain how to obtain a natural quantization of Voronin's universality theorem (and of its various extensions). Our work builds on the theory of complex fractal dimensions for fractal strings developed by the second author and M. van Frankenhuijsen in \\cite{La-vF4}. It also makes an essential use of the functional analytic framework developed by the authors in \\cite{HerLa1} for rigorously studying the spectral operator $\\mathfrak{a}$ (mapping the geometry onto the spectrum of generalized fractal stri","authors_text":"Hafedh Herichi, Michel L. Lapidus","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-16T20:49:20Z","title":"Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3933","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":"sha256:2a9820d9b6533a29bd58638f343f6797bc98e732dd14a9aec8bcaabf9c36c953","target":"record","created_at":"2026-05-18T02:26:32Z","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":"be2462863ac7ffe25e981aecd2fa4580e4520a106c98535530a8587b279bb114","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-16T20:49:20Z","title_canon_sha256":"43c59cda45b0124d4aee5311017b1ab5ba350618827c93b7c64ccd03f09ace77"},"schema_version":"1.0","source":{"id":"1305.3933","kind":"arxiv","version":2}},"canonical_sha256":"a56cf9293d428c0d0aaaf5a914ed275b6444717e7eb2f24260f460c7a4d3e310","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a56cf9293d428c0d0aaaf5a914ed275b6444717e7eb2f24260f460c7a4d3e310","first_computed_at":"2026-05-18T02:26:32.034212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:32.034212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t8r0LU10QXfo084ndIRWBn8bzp0J5wWkJAzkgFyfXFUL0b1m4BozqZArrDim/9uw835BljXbRZg84WYHaaQwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:32.034651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3933","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a9820d9b6533a29bd58638f343f6797bc98e732dd14a9aec8bcaabf9c36c953","sha256:1580585213d1f93e4c2a265bf0877316da7c1efcc24b568f1ae2bd256e787369"],"state_sha256":"9033c940fff2a846ba5c20724b58e304604e4f951d48486b89abb4a19c8e98af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XPX6rWG+E5/tAbHo2wu6/x4SWyUYSWZtesNx1Lxke2TsngzoziuLd+90bjGdT/E8ViaVYnsct4K2HX48l37pAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T10:46:49.146114Z","bundle_sha256":"e161999b393861f1a3a0ec495518035831cb1bfe51ac082a8a09c0bd572b1e98"}}