{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:B65G4KQWEV7RIHEVDKBDPQLYVL","short_pith_number":"pith:B65G4KQW","canonical_record":{"source":{"id":"1101.2609","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-01-13T17:04:21Z","cross_cats_sorted":[],"title_canon_sha256":"87f4982e0dcaa2a46e8206d67ad7079c696dbcfd40ac54d20483113c4b08860c","abstract_canon_sha256":"fdc4aae2abefe7b2271509ccb708e9f53be4d08f2d2638dfa78e9cb42cecd299"},"schema_version":"1.0"},"canonical_sha256":"0fba6e2a16257f141c951a8237c178aadf111b02acfae1dda986ced7cd483077","source":{"kind":"arxiv","id":"1101.2609","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2609","created_at":"2026-05-18T04:31:41Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2609v1","created_at":"2026-05-18T04:31:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2609","created_at":"2026-05-18T04:31:41Z"},{"alias_kind":"pith_short_12","alias_value":"B65G4KQWEV7R","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B65G4KQWEV7RIHEV","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B65G4KQW","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:B65G4KQWEV7RIHEVDKBDPQLYVL","target":"record","payload":{"canonical_record":{"source":{"id":"1101.2609","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-01-13T17:04:21Z","cross_cats_sorted":[],"title_canon_sha256":"87f4982e0dcaa2a46e8206d67ad7079c696dbcfd40ac54d20483113c4b08860c","abstract_canon_sha256":"fdc4aae2abefe7b2271509ccb708e9f53be4d08f2d2638dfa78e9cb42cecd299"},"schema_version":"1.0"},"canonical_sha256":"0fba6e2a16257f141c951a8237c178aadf111b02acfae1dda986ced7cd483077","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:41.796509Z","signature_b64":"Vu3ZNmSPlzwzM/rVw9BZVlBKRE7xkU5ZPsJuC9KHqsCy004oNywFot0xIbWAaf8RkR6mBig7o1MbijqgfqGiBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fba6e2a16257f141c951a8237c178aadf111b02acfae1dda986ced7cd483077","last_reissued_at":"2026-05-18T04:31:41.796121Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:41.796121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.2609","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":"2026-05-18T04:31:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0JkxU5jNYL1IoIPkOeZVQcYVsu+zOnr6E27thJ/ODusdN2LPBeoFcheW2A3ZDqNRw1RX8Ct0xeKuylkfEemgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:52:24.499594Z"},"content_sha256":"443593cdc828ca016bcee900605b9de72cfe3fc4ed78fa9e4c39bb2cd2134a26","schema_version":"1.0","event_id":"sha256:443593cdc828ca016bcee900605b9de72cfe3fc4ed78fa9e4c39bb2cd2134a26"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:B65G4KQWEV7RIHEVDKBDPQLYVL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some identities on Bernstein polynomials associated with q-Euler polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Abdelmejid Bayad, Byunje Lee, Seog-Hoon Rim, Taekyun Kim","submitted_at":"2011-01-13T17:04:21Z","abstract_excerpt":"In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2609","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":"2026-05-18T04:31:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0zdzBGb1jK0Rl2u/mpWiUPiQOwTnbr5ibM9eFEHlePfqvr6Kk/OukP4IQ406VLQqCRILQ9pkiSvbM5FxC/wuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:52:24.500234Z"},"content_sha256":"c927ca46a4258a76b0b6fd1376df82a19fad81baaf8f331a633de245fbe49426","schema_version":"1.0","event_id":"sha256:c927ca46a4258a76b0b6fd1376df82a19fad81baaf8f331a633de245fbe49426"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B65G4KQWEV7RIHEVDKBDPQLYVL/bundle.json","state_url":"https://pith.science/pith/B65G4KQWEV7RIHEVDKBDPQLYVL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B65G4KQWEV7RIHEVDKBDPQLYVL/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":"2026-05-27T18:52:24Z","links":{"resolver":"https://pith.science/pith/B65G4KQWEV7RIHEVDKBDPQLYVL","bundle":"https://pith.science/pith/B65G4KQWEV7RIHEVDKBDPQLYVL/bundle.json","state":"https://pith.science/pith/B65G4KQWEV7RIHEVDKBDPQLYVL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B65G4KQWEV7RIHEVDKBDPQLYVL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:B65G4KQWEV7RIHEVDKBDPQLYVL","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":"fdc4aae2abefe7b2271509ccb708e9f53be4d08f2d2638dfa78e9cb42cecd299","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-01-13T17:04:21Z","title_canon_sha256":"87f4982e0dcaa2a46e8206d67ad7079c696dbcfd40ac54d20483113c4b08860c"},"schema_version":"1.0","source":{"id":"1101.2609","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2609","created_at":"2026-05-18T04:31:41Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2609v1","created_at":"2026-05-18T04:31:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2609","created_at":"2026-05-18T04:31:41Z"},{"alias_kind":"pith_short_12","alias_value":"B65G4KQWEV7R","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B65G4KQWEV7RIHEV","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B65G4KQW","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:c927ca46a4258a76b0b6fd1376df82a19fad81baaf8f331a633de245fbe49426","target":"graph","created_at":"2026-05-18T04:31:41Z","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":"In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.","authors_text":"Abdelmejid Bayad, Byunje Lee, Seog-Hoon Rim, Taekyun Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-01-13T17:04:21Z","title":"Some identities on Bernstein polynomials associated with q-Euler polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2609","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":"sha256:443593cdc828ca016bcee900605b9de72cfe3fc4ed78fa9e4c39bb2cd2134a26","target":"record","created_at":"2026-05-18T04:31:41Z","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":"fdc4aae2abefe7b2271509ccb708e9f53be4d08f2d2638dfa78e9cb42cecd299","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-01-13T17:04:21Z","title_canon_sha256":"87f4982e0dcaa2a46e8206d67ad7079c696dbcfd40ac54d20483113c4b08860c"},"schema_version":"1.0","source":{"id":"1101.2609","kind":"arxiv","version":1}},"canonical_sha256":"0fba6e2a16257f141c951a8237c178aadf111b02acfae1dda986ced7cd483077","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fba6e2a16257f141c951a8237c178aadf111b02acfae1dda986ced7cd483077","first_computed_at":"2026-05-18T04:31:41.796121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:41.796121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vu3ZNmSPlzwzM/rVw9BZVlBKRE7xkU5ZPsJuC9KHqsCy004oNywFot0xIbWAaf8RkR6mBig7o1MbijqgfqGiBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:41.796509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2609","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:443593cdc828ca016bcee900605b9de72cfe3fc4ed78fa9e4c39bb2cd2134a26","sha256:c927ca46a4258a76b0b6fd1376df82a19fad81baaf8f331a633de245fbe49426"],"state_sha256":"76d21cf67a0e00d2fa9ad9f5e95afe411942d49205f3189c81f30cbd1de82a74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2LEKFfX9pudD+Bc+0dnSfb8RMR3rIvR3PFyA6tsJmO6/uTrrnoXLWqPnw0/L3aT88Vw9F8cEL2M7d3WqU/5sCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:52:24.503831Z","bundle_sha256":"c2d5b92ff243da8494b9853032e5bf0bfd3dce90e7e8dd2933527861ae24151d"}}