{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:M2MHL6PWQT6ONJSKH4XKFJBIOP","short_pith_number":"pith:M2MHL6PW","canonical_record":{"source":{"id":"1312.3993","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2013-12-14T01:09:05Z","cross_cats_sorted":[],"title_canon_sha256":"5f10a200fb085221d3d984fde36262c653555183a892c80a3b97482036ae9133","abstract_canon_sha256":"d5958eb373af9a6edeae594df8cdafbd7b4358a0287c5f658aa46931207807d3"},"schema_version":"1.0"},"canonical_sha256":"669875f9f684fce6a64a3f2ea2a42873c139f1b20a4f223946b71896a5de71cb","source":{"kind":"arxiv","id":"1312.3993","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3993","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3993v1","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3993","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"pith_short_12","alias_value":"M2MHL6PWQT6O","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M2MHL6PWQT6ONJSK","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M2MHL6PW","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:M2MHL6PWQT6ONJSKH4XKFJBIOP","target":"record","payload":{"canonical_record":{"source":{"id":"1312.3993","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2013-12-14T01:09:05Z","cross_cats_sorted":[],"title_canon_sha256":"5f10a200fb085221d3d984fde36262c653555183a892c80a3b97482036ae9133","abstract_canon_sha256":"d5958eb373af9a6edeae594df8cdafbd7b4358a0287c5f658aa46931207807d3"},"schema_version":"1.0"},"canonical_sha256":"669875f9f684fce6a64a3f2ea2a42873c139f1b20a4f223946b71896a5de71cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:36.340419Z","signature_b64":"3Tla1DsGJs3Zj1WfF4+6K6lTlOVO5kxhl3x4Wdk+VoM7DvCBEEB1vFAqB09L/ZzRqkgEXAcl47yYKmyWXTq+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"669875f9f684fce6a64a3f2ea2a42873c139f1b20a4f223946b71896a5de71cb","last_reissued_at":"2026-05-18T03:04:36.339506Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:36.339506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.3993","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":"2026-05-18T03:04:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qaawRV6juLxQ6WLuWSmsIUfP7nAaILGUH6InrfE0tkQH37KqPRKLBWY8MhgziDkKKF+TY0OTX6XRKP+vmhf/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:42:49.503859Z"},"content_sha256":"1d6f1ea6f3bb0cbeb4f77e08abff8d65e16635860b159a9452b2edb0356b3923","schema_version":"1.0","event_id":"sha256:1d6f1ea6f3bb0cbeb4f77e08abff8d65e16635860b159a9452b2edb0356b3923"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:M2MHL6PWQT6ONJSKH4XKFJBIOP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Identities of symmetry for (h;q)-extension of higher-order Euler polynomials","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dae San Kim, Taekyun Kim","submitted_at":"2013-12-14T01:09:05Z","abstract_excerpt":"In this paper, we study some symmetric properties of the multiple q-Euler zeta function. From these properties, we derive several identities of symmetry for the (h;q)-extension of higher-order Euler polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3993","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":"2026-05-18T03:04:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xRHLcCzDh3SsW4MrmtfeNyhWUN95VV8oedMiRhYOUj4Im1RHSm+/iex3PY+23i241gar2emwgEoFZL5g2zpoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:42:49.504589Z"},"content_sha256":"d1e9315894a22a925d3eaf2b4b574dd34b42d15abe31f647bffac20483115a1c","schema_version":"1.0","event_id":"sha256:d1e9315894a22a925d3eaf2b4b574dd34b42d15abe31f647bffac20483115a1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M2MHL6PWQT6ONJSKH4XKFJBIOP/bundle.json","state_url":"https://pith.science/pith/M2MHL6PWQT6ONJSKH4XKFJBIOP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M2MHL6PWQT6ONJSKH4XKFJBIOP/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":"2026-06-06T15:42:49Z","links":{"resolver":"https://pith.science/pith/M2MHL6PWQT6ONJSKH4XKFJBIOP","bundle":"https://pith.science/pith/M2MHL6PWQT6ONJSKH4XKFJBIOP/bundle.json","state":"https://pith.science/pith/M2MHL6PWQT6ONJSKH4XKFJBIOP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M2MHL6PWQT6ONJSKH4XKFJBIOP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:M2MHL6PWQT6ONJSKH4XKFJBIOP","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":"d5958eb373af9a6edeae594df8cdafbd7b4358a0287c5f658aa46931207807d3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2013-12-14T01:09:05Z","title_canon_sha256":"5f10a200fb085221d3d984fde36262c653555183a892c80a3b97482036ae9133"},"schema_version":"1.0","source":{"id":"1312.3993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3993","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3993v1","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3993","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"pith_short_12","alias_value":"M2MHL6PWQT6O","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M2MHL6PWQT6ONJSK","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M2MHL6PW","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:d1e9315894a22a925d3eaf2b4b574dd34b42d15abe31f647bffac20483115a1c","target":"graph","created_at":"2026-05-18T03:04:36Z","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 study some symmetric properties of the multiple q-Euler zeta function. From these properties, we derive several identities of symmetry for the (h;q)-extension of higher-order Euler polynomials.","authors_text":"Dae San Kim, Taekyun Kim","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2013-12-14T01:09:05Z","title":"Identities of symmetry for (h;q)-extension of higher-order Euler polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3993","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":"sha256:1d6f1ea6f3bb0cbeb4f77e08abff8d65e16635860b159a9452b2edb0356b3923","target":"record","created_at":"2026-05-18T03:04:36Z","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":"d5958eb373af9a6edeae594df8cdafbd7b4358a0287c5f658aa46931207807d3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2013-12-14T01:09:05Z","title_canon_sha256":"5f10a200fb085221d3d984fde36262c653555183a892c80a3b97482036ae9133"},"schema_version":"1.0","source":{"id":"1312.3993","kind":"arxiv","version":1}},"canonical_sha256":"669875f9f684fce6a64a3f2ea2a42873c139f1b20a4f223946b71896a5de71cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"669875f9f684fce6a64a3f2ea2a42873c139f1b20a4f223946b71896a5de71cb","first_computed_at":"2026-05-18T03:04:36.339506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:36.339506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Tla1DsGJs3Zj1WfF4+6K6lTlOVO5kxhl3x4Wdk+VoM7DvCBEEB1vFAqB09L/ZzRqkgEXAcl47yYKmyWXTq+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:36.340419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.3993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d6f1ea6f3bb0cbeb4f77e08abff8d65e16635860b159a9452b2edb0356b3923","sha256:d1e9315894a22a925d3eaf2b4b574dd34b42d15abe31f647bffac20483115a1c"],"state_sha256":"98c33857a4a16fa63d9659acfd4f4720ad46e6c762a042aee55d500764ab85fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l02gU7SknnHY95x2oajghizZZ4W4PJJQyXcsNRLLRDrYuhir6w+U0B8VD30hcnKnprSm6XaBtDzGrQp9I0mYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T15:42:49.508829Z","bundle_sha256":"df98f2c94bfa0981fdf7aa3d442e726b135980da81f6f1fe15cc08b7046441cd"}}