{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JBJW6EIJ6Q4ZLTNFENN7DDXV3T","short_pith_number":"pith:JBJW6EIJ","canonical_record":{"source":{"id":"1404.6080","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-24T10:38:53Z","cross_cats_sorted":[],"title_canon_sha256":"faaf815d5e2782f322bb36422d41164929973df781a199618a6cc3f02a64e858","abstract_canon_sha256":"f0efec7b8aa3c6e57d2723025aadf6faeae709c3b896e3715dc1bd51b4a56c6c"},"schema_version":"1.0"},"canonical_sha256":"48536f1109f43995cda5235bf18ef5dccd6f9179ae7a854c82e7ec550251f2e3","source":{"kind":"arxiv","id":"1404.6080","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6080","created_at":"2026-05-18T02:27:07Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6080v2","created_at":"2026-05-18T02:27:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6080","created_at":"2026-05-18T02:27:07Z"},{"alias_kind":"pith_short_12","alias_value":"JBJW6EIJ6Q4Z","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JBJW6EIJ6Q4ZLTNF","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JBJW6EIJ","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JBJW6EIJ6Q4ZLTNFENN7DDXV3T","target":"record","payload":{"canonical_record":{"source":{"id":"1404.6080","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-24T10:38:53Z","cross_cats_sorted":[],"title_canon_sha256":"faaf815d5e2782f322bb36422d41164929973df781a199618a6cc3f02a64e858","abstract_canon_sha256":"f0efec7b8aa3c6e57d2723025aadf6faeae709c3b896e3715dc1bd51b4a56c6c"},"schema_version":"1.0"},"canonical_sha256":"48536f1109f43995cda5235bf18ef5dccd6f9179ae7a854c82e7ec550251f2e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:07.972903Z","signature_b64":"H0V4kvoZcMrVo+Zz4fT6ZllDnw1SZQTzHtLNYcyPJwSkUmchZIBvd9NQM+EUEDsWKM91w1ois4czhxmpmYmJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48536f1109f43995cda5235bf18ef5dccd6f9179ae7a854c82e7ec550251f2e3","last_reissued_at":"2026-05-18T02:27:07.972152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:07.972152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.6080","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":"2026-05-18T02:27:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SxFt6TU3kx1CY+obo2rI78B2m7hcbMLOYxozqxiNAll8AHT4A8FxH9yqaaPSXPw6a3SAM16KALvCZt/KUN2/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T23:36:12.210324Z"},"content_sha256":"5e3bdd32074a4889139fdcdcd2f62887e8fc3f023f2136ea611a16e0e24f0644","schema_version":"1.0","event_id":"sha256:5e3bdd32074a4889139fdcdcd2f62887e8fc3f023f2136ea611a16e0e24f0644"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JBJW6EIJ6Q4ZLTNFENN7DDXV3T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the large argument asymptotics of the Lommel function via Stieltjes transforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Gerg\\H{o} Nemes","submitted_at":"2014-04-24T10:38:53Z","abstract_excerpt":"The aim of this paper is to investigate in detail the known large argument asymptotic series of the Lommel function by Stieltjes transform representations. We obtain a number of properties of this asymptotic expansion, including explicit and realistic error bounds, exponentially improved asymptotic expansions, and the smooth transition of the Stokes discontinuities. An interesting consequence related to the large argument asymptotic series of the Struve function is also proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6080","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":"2026-05-18T02:27:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ePcf1cUShrmBmWUrKMLNwxr+3XNX+3aeZWbDKEU3fnomuMFAO7/3zOYSwaxLyomJeDEjhE0IxXCsplL+kZoNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T23:36:12.210659Z"},"content_sha256":"f74aa5a29180b643faf7233519de50f2d9878dad6298ac427f2f432b030847fc","schema_version":"1.0","event_id":"sha256:f74aa5a29180b643faf7233519de50f2d9878dad6298ac427f2f432b030847fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JBJW6EIJ6Q4ZLTNFENN7DDXV3T/bundle.json","state_url":"https://pith.science/pith/JBJW6EIJ6Q4ZLTNFENN7DDXV3T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JBJW6EIJ6Q4ZLTNFENN7DDXV3T/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":"2026-06-29T23:36:12Z","links":{"resolver":"https://pith.science/pith/JBJW6EIJ6Q4ZLTNFENN7DDXV3T","bundle":"https://pith.science/pith/JBJW6EIJ6Q4ZLTNFENN7DDXV3T/bundle.json","state":"https://pith.science/pith/JBJW6EIJ6Q4ZLTNFENN7DDXV3T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JBJW6EIJ6Q4ZLTNFENN7DDXV3T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JBJW6EIJ6Q4ZLTNFENN7DDXV3T","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":"f0efec7b8aa3c6e57d2723025aadf6faeae709c3b896e3715dc1bd51b4a56c6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-24T10:38:53Z","title_canon_sha256":"faaf815d5e2782f322bb36422d41164929973df781a199618a6cc3f02a64e858"},"schema_version":"1.0","source":{"id":"1404.6080","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6080","created_at":"2026-05-18T02:27:07Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6080v2","created_at":"2026-05-18T02:27:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6080","created_at":"2026-05-18T02:27:07Z"},{"alias_kind":"pith_short_12","alias_value":"JBJW6EIJ6Q4Z","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JBJW6EIJ6Q4ZLTNF","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JBJW6EIJ","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:f74aa5a29180b643faf7233519de50f2d9878dad6298ac427f2f432b030847fc","target":"graph","created_at":"2026-05-18T02:27:07Z","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":"The aim of this paper is to investigate in detail the known large argument asymptotic series of the Lommel function by Stieltjes transform representations. We obtain a number of properties of this asymptotic expansion, including explicit and realistic error bounds, exponentially improved asymptotic expansions, and the smooth transition of the Stokes discontinuities. An interesting consequence related to the large argument asymptotic series of the Struve function is also proved.","authors_text":"Gerg\\H{o} Nemes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-24T10:38:53Z","title":"On the large argument asymptotics of the Lommel function via Stieltjes transforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6080","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":"sha256:5e3bdd32074a4889139fdcdcd2f62887e8fc3f023f2136ea611a16e0e24f0644","target":"record","created_at":"2026-05-18T02:27:07Z","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":"f0efec7b8aa3c6e57d2723025aadf6faeae709c3b896e3715dc1bd51b4a56c6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-04-24T10:38:53Z","title_canon_sha256":"faaf815d5e2782f322bb36422d41164929973df781a199618a6cc3f02a64e858"},"schema_version":"1.0","source":{"id":"1404.6080","kind":"arxiv","version":2}},"canonical_sha256":"48536f1109f43995cda5235bf18ef5dccd6f9179ae7a854c82e7ec550251f2e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48536f1109f43995cda5235bf18ef5dccd6f9179ae7a854c82e7ec550251f2e3","first_computed_at":"2026-05-18T02:27:07.972152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:07.972152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H0V4kvoZcMrVo+Zz4fT6ZllDnw1SZQTzHtLNYcyPJwSkUmchZIBvd9NQM+EUEDsWKM91w1ois4czhxmpmYmJDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:07.972903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6080","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e3bdd32074a4889139fdcdcd2f62887e8fc3f023f2136ea611a16e0e24f0644","sha256:f74aa5a29180b643faf7233519de50f2d9878dad6298ac427f2f432b030847fc"],"state_sha256":"fec97427ee403c80ed6c3006e27274c3c2d2a60d32f1a3bdfef8436e09a9c6dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FlKpbFtNmVadZtQgGzzSR/rIL0VU9PRIkIDKXBPbiF+EJ4VXzxQ87ANCiObDboB8WCTDM9S4ZUx+06UUmL22AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T23:36:12.212464Z","bundle_sha256":"2f30f2ffd0e67c5ce006f486601740e70d43f47d2b0c2e92d08a37ff7231e0db"}}