{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZANBEQQIEK5THZ7YZ2A3LW3DRT","short_pith_number":"pith:ZANBEQQI","canonical_record":{"source":{"id":"1505.00355","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-05-02T16:59:22Z","cross_cats_sorted":[],"title_canon_sha256":"22d0e3e8155c5698d57cfded44059dc0452a026915c721ef67b166a23d9d6470","abstract_canon_sha256":"26e987f9b5cb3a4cf252c4089fb44fad5e73318944ec13d2cb5784ed2a810947"},"schema_version":"1.0"},"canonical_sha256":"c81a12420822bb33e7f8ce81b5db638cf96040facff5b6248425f71aaa32c127","source":{"kind":"arxiv","id":"1505.00355","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00355","created_at":"2026-05-18T01:29:54Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00355v2","created_at":"2026-05-18T01:29:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00355","created_at":"2026-05-18T01:29:54Z"},{"alias_kind":"pith_short_12","alias_value":"ZANBEQQIEK5T","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZANBEQQIEK5THZ7Y","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZANBEQQI","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZANBEQQIEK5THZ7YZ2A3LW3DRT","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00355","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-05-02T16:59:22Z","cross_cats_sorted":[],"title_canon_sha256":"22d0e3e8155c5698d57cfded44059dc0452a026915c721ef67b166a23d9d6470","abstract_canon_sha256":"26e987f9b5cb3a4cf252c4089fb44fad5e73318944ec13d2cb5784ed2a810947"},"schema_version":"1.0"},"canonical_sha256":"c81a12420822bb33e7f8ce81b5db638cf96040facff5b6248425f71aaa32c127","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:54.281223Z","signature_b64":"X7JzZL0IXbNktKf1C+rjbb+/nR/FTVtZrfZJcDPDwbgIEHubJnZ3JyGr1Z1ivLqVLw/PDO6v366+Oi5Cq3ZJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c81a12420822bb33e7f8ce81b5db638cf96040facff5b6248425f71aaa32c127","last_reissued_at":"2026-05-18T01:29:54.280724Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:54.280724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00355","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":"2026-05-18T01:29:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IffxrbEfIVMvwlThh0y1sBqKGRJw8jIiId+qRZtqiW2F4DTex41KhWZvklRqXMl27zGhuqmRZb/w8Sm7SokGCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T08:06:44.827535Z"},"content_sha256":"524a3c364776036d625b35950d3ce07a9e1dea8e166a399c2f277d9cff912740","schema_version":"1.0","event_id":"sha256:524a3c364776036d625b35950d3ce07a9e1dea8e166a399c2f277d9cff912740"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZANBEQQIEK5THZ7YZ2A3LW3DRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiplier sequences, classes of generalized Bessel functions and open problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"George Csordas, Tam\\'as Forg\\'acs","submitted_at":"2015-05-02T16:59:22Z","abstract_excerpt":"Motivated by the study of the distribution of zeros of generalized Bessel-type functions, the principal goal of this paper is to identify new research directions in the theory of multiplier sequences. The investigations focus on multiplier sequences interpolated by functions which are not entire and sums, averages and parametrized families of multiplier sequences. The main results include (i) the development of a `logarithmic' multiplier sequence and (ii) several integral representations of a generalized Bessel-type function utilizing some ideas of G. H. Hardy and L. V. Ostrovskii. The explora"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00355","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":"2026-05-18T01:29:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WKZs0AWAJrnIF7weYCxVvsc2eHKlx2GyWKi5o7mcn7qOpYZGEhQxuSIhukZgP2s6hvvWa3KiyUwrCH2GfsxsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T08:06:44.832384Z"},"content_sha256":"ba25b218c5f31e21c4d6e9bfa79dfae3def2ae80c9570975339319192e7d0ba1","schema_version":"1.0","event_id":"sha256:ba25b218c5f31e21c4d6e9bfa79dfae3def2ae80c9570975339319192e7d0ba1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZANBEQQIEK5THZ7YZ2A3LW3DRT/bundle.json","state_url":"https://pith.science/pith/ZANBEQQIEK5THZ7YZ2A3LW3DRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZANBEQQIEK5THZ7YZ2A3LW3DRT/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":"2026-06-08T08:06:44Z","links":{"resolver":"https://pith.science/pith/ZANBEQQIEK5THZ7YZ2A3LW3DRT","bundle":"https://pith.science/pith/ZANBEQQIEK5THZ7YZ2A3LW3DRT/bundle.json","state":"https://pith.science/pith/ZANBEQQIEK5THZ7YZ2A3LW3DRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZANBEQQIEK5THZ7YZ2A3LW3DRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZANBEQQIEK5THZ7YZ2A3LW3DRT","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":"26e987f9b5cb3a4cf252c4089fb44fad5e73318944ec13d2cb5784ed2a810947","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-05-02T16:59:22Z","title_canon_sha256":"22d0e3e8155c5698d57cfded44059dc0452a026915c721ef67b166a23d9d6470"},"schema_version":"1.0","source":{"id":"1505.00355","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00355","created_at":"2026-05-18T01:29:54Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00355v2","created_at":"2026-05-18T01:29:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00355","created_at":"2026-05-18T01:29:54Z"},{"alias_kind":"pith_short_12","alias_value":"ZANBEQQIEK5T","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZANBEQQIEK5THZ7Y","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZANBEQQI","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:ba25b218c5f31e21c4d6e9bfa79dfae3def2ae80c9570975339319192e7d0ba1","target":"graph","created_at":"2026-05-18T01:29:54Z","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":"Motivated by the study of the distribution of zeros of generalized Bessel-type functions, the principal goal of this paper is to identify new research directions in the theory of multiplier sequences. The investigations focus on multiplier sequences interpolated by functions which are not entire and sums, averages and parametrized families of multiplier sequences. The main results include (i) the development of a `logarithmic' multiplier sequence and (ii) several integral representations of a generalized Bessel-type function utilizing some ideas of G. H. Hardy and L. V. Ostrovskii. The explora","authors_text":"George Csordas, Tam\\'as Forg\\'acs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-05-02T16:59:22Z","title":"Multiplier sequences, classes of generalized Bessel functions and open problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00355","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":"sha256:524a3c364776036d625b35950d3ce07a9e1dea8e166a399c2f277d9cff912740","target":"record","created_at":"2026-05-18T01:29:54Z","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":"26e987f9b5cb3a4cf252c4089fb44fad5e73318944ec13d2cb5784ed2a810947","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-05-02T16:59:22Z","title_canon_sha256":"22d0e3e8155c5698d57cfded44059dc0452a026915c721ef67b166a23d9d6470"},"schema_version":"1.0","source":{"id":"1505.00355","kind":"arxiv","version":2}},"canonical_sha256":"c81a12420822bb33e7f8ce81b5db638cf96040facff5b6248425f71aaa32c127","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c81a12420822bb33e7f8ce81b5db638cf96040facff5b6248425f71aaa32c127","first_computed_at":"2026-05-18T01:29:54.280724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:54.280724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X7JzZL0IXbNktKf1C+rjbb+/nR/FTVtZrfZJcDPDwbgIEHubJnZ3JyGr1Z1ivLqVLw/PDO6v366+Oi5Cq3ZJDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:54.281223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00355","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:524a3c364776036d625b35950d3ce07a9e1dea8e166a399c2f277d9cff912740","sha256:ba25b218c5f31e21c4d6e9bfa79dfae3def2ae80c9570975339319192e7d0ba1"],"state_sha256":"64fab7fa5f2e6e400eeb76131f4181022cefeffe56a1b019178cf020888accff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XLiQ+2Uq8dCeRAlgAb9qfLstupluLduWNR0YxJCgAhrPay3J/vUI5p2K+ci0dk07zRel1avKGvZX95BBWJzQBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T08:06:44.873586Z","bundle_sha256":"763e852e8b4b8908502613d2ef0e9958434bc46099a98379177a4806171354f8"}}