{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FCCTBQTIRBXPUBO5ZODYKB75PS","short_pith_number":"pith:FCCTBQTI","canonical_record":{"source":{"id":"1406.5345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-06-20T10:49:07Z","cross_cats_sorted":[],"title_canon_sha256":"8169b40b3f3337f12afe1aaebe393460786b2e98ff98359d00cefd03c642f14a","abstract_canon_sha256":"e7f7e8fb4a00c6558747747d21f46f15a7537d2b24e8ac5ecd3bb4c98ec5bb6f"},"schema_version":"1.0"},"canonical_sha256":"288530c268886efa05ddcb878507fd7c8159b3f5b52c780975df8fa670b8489c","source":{"kind":"arxiv","id":"1406.5345","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5345","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5345v1","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5345","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"FCCTBQTIRBXP","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FCCTBQTIRBXPUBO5","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FCCTBQTI","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FCCTBQTIRBXPUBO5ZODYKB75PS","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-06-20T10:49:07Z","cross_cats_sorted":[],"title_canon_sha256":"8169b40b3f3337f12afe1aaebe393460786b2e98ff98359d00cefd03c642f14a","abstract_canon_sha256":"e7f7e8fb4a00c6558747747d21f46f15a7537d2b24e8ac5ecd3bb4c98ec5bb6f"},"schema_version":"1.0"},"canonical_sha256":"288530c268886efa05ddcb878507fd7c8159b3f5b52c780975df8fa670b8489c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:19.293702Z","signature_b64":"n3K26H81HeIzeC4a/CCfZXNt/X0WxtGqZmNk69wE/oFoNBJra5ucCQwNz5ZJYnTleB0eAMfSG4eLV7Dnb58TDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"288530c268886efa05ddcb878507fd7c8159b3f5b52c780975df8fa670b8489c","last_reissued_at":"2026-05-18T02:49:19.293049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:19.293049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5345","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":"2026-05-18T02:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oBcE85hYTK1QdgQJ+zhEHifw/D3cPccUG0XaBlxuuGDZTIHES4JuFtbrt2aFHfxjS2a5yOP3lQw7abVnLOKtDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:47:47.613092Z"},"content_sha256":"ce6ca1daa07ac3f847bc2ced2b69076c619193911259072ff0e5f536310743dc","schema_version":"1.0","event_id":"sha256:ce6ca1daa07ac3f847bc2ced2b69076c619193911259072ff0e5f536310743dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FCCTBQTIRBXPUBO5ZODYKB75PS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Certain identities, connection and explicit formulas for the Bernoulli, Euler numbers and Riemann zeta -values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Semyon Yakubovich","submitted_at":"2014-06-20T10:49:07Z","abstract_excerpt":"Various new identities, recurrence relations, integral representations, connection and explicit formulas are established for the Bernoulli, Euler numbers and the values of Riemann's zeta function. To do this, we explore properties of some Sheffer's sequences of polynomials related to the Kontorovich-Lebedev transform."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5345","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":"2026-05-18T02:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S99BuHiwA+g2EVlfal4QWTZko6V0BaWp1FtpE2vDzpkDp3Ydwoi3QrT2eZv470ruGnTaJYwxYL1XrJymF42kDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:47:47.613445Z"},"content_sha256":"0b6324023ba450263619112eeed43d724d314987035d003ea344f4144b834a42","schema_version":"1.0","event_id":"sha256:0b6324023ba450263619112eeed43d724d314987035d003ea344f4144b834a42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FCCTBQTIRBXPUBO5ZODYKB75PS/bundle.json","state_url":"https://pith.science/pith/FCCTBQTIRBXPUBO5ZODYKB75PS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FCCTBQTIRBXPUBO5ZODYKB75PS/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":"2026-06-26T09:47:47Z","links":{"resolver":"https://pith.science/pith/FCCTBQTIRBXPUBO5ZODYKB75PS","bundle":"https://pith.science/pith/FCCTBQTIRBXPUBO5ZODYKB75PS/bundle.json","state":"https://pith.science/pith/FCCTBQTIRBXPUBO5ZODYKB75PS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FCCTBQTIRBXPUBO5ZODYKB75PS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FCCTBQTIRBXPUBO5ZODYKB75PS","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":"e7f7e8fb4a00c6558747747d21f46f15a7537d2b24e8ac5ecd3bb4c98ec5bb6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-06-20T10:49:07Z","title_canon_sha256":"8169b40b3f3337f12afe1aaebe393460786b2e98ff98359d00cefd03c642f14a"},"schema_version":"1.0","source":{"id":"1406.5345","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5345","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5345v1","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5345","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"FCCTBQTIRBXP","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FCCTBQTIRBXPUBO5","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FCCTBQTI","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:0b6324023ba450263619112eeed43d724d314987035d003ea344f4144b834a42","target":"graph","created_at":"2026-05-18T02:49:19Z","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":"Various new identities, recurrence relations, integral representations, connection and explicit formulas are established for the Bernoulli, Euler numbers and the values of Riemann's zeta function. To do this, we explore properties of some Sheffer's sequences of polynomials related to the Kontorovich-Lebedev transform.","authors_text":"Semyon Yakubovich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-06-20T10:49:07Z","title":"Certain identities, connection and explicit formulas for the Bernoulli, Euler numbers and Riemann zeta -values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5345","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:ce6ca1daa07ac3f847bc2ced2b69076c619193911259072ff0e5f536310743dc","target":"record","created_at":"2026-05-18T02:49:19Z","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":"e7f7e8fb4a00c6558747747d21f46f15a7537d2b24e8ac5ecd3bb4c98ec5bb6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-06-20T10:49:07Z","title_canon_sha256":"8169b40b3f3337f12afe1aaebe393460786b2e98ff98359d00cefd03c642f14a"},"schema_version":"1.0","source":{"id":"1406.5345","kind":"arxiv","version":1}},"canonical_sha256":"288530c268886efa05ddcb878507fd7c8159b3f5b52c780975df8fa670b8489c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"288530c268886efa05ddcb878507fd7c8159b3f5b52c780975df8fa670b8489c","first_computed_at":"2026-05-18T02:49:19.293049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:19.293049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n3K26H81HeIzeC4a/CCfZXNt/X0WxtGqZmNk69wE/oFoNBJra5ucCQwNz5ZJYnTleB0eAMfSG4eLV7Dnb58TDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:19.293702Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5345","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce6ca1daa07ac3f847bc2ced2b69076c619193911259072ff0e5f536310743dc","sha256:0b6324023ba450263619112eeed43d724d314987035d003ea344f4144b834a42"],"state_sha256":"d19b93ee968d0de8a3702267c79867522805aa582239453a25202ad325e269e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFcSg/Bd23Uhc1WOmjYpttxuK4BnwBOAFHgIXmAxWVBbwZXciHvQ62BgfFtHJmSAzN6ft/MkqEs1QXoV+PwlAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T09:47:47.615361Z","bundle_sha256":"136e3db620a4b3d9ef3db9a7e9411ddc5c8b1a9ed3ea320dbe5a3f283167abb7"}}