{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VRVHIL5FUVHBF75LFKBHFQBDRA","short_pith_number":"pith:VRVHIL5F","canonical_record":{"source":{"id":"1802.07526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-21T11:49:16Z","cross_cats_sorted":[],"title_canon_sha256":"4112bcfadfe333df4c4cf1d390a52c914283d591e5c426cce9f38e7b562c19d9","abstract_canon_sha256":"1b2b93a91be92ae73a253357c45f8d2ff2328b1044a4f34b9218566512083305"},"schema_version":"1.0"},"canonical_sha256":"ac6a742fa5a54e12ffab2a8272c023881f589d36c93cddbe0a02f3367c3b8a02","source":{"kind":"arxiv","id":"1802.07526","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07526","created_at":"2026-05-18T00:22:50Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07526v1","created_at":"2026-05-18T00:22:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07526","created_at":"2026-05-18T00:22:50Z"},{"alias_kind":"pith_short_12","alias_value":"VRVHIL5FUVHB","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VRVHIL5FUVHBF75L","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VRVHIL5F","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VRVHIL5FUVHBF75LFKBHFQBDRA","target":"record","payload":{"canonical_record":{"source":{"id":"1802.07526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-21T11:49:16Z","cross_cats_sorted":[],"title_canon_sha256":"4112bcfadfe333df4c4cf1d390a52c914283d591e5c426cce9f38e7b562c19d9","abstract_canon_sha256":"1b2b93a91be92ae73a253357c45f8d2ff2328b1044a4f34b9218566512083305"},"schema_version":"1.0"},"canonical_sha256":"ac6a742fa5a54e12ffab2a8272c023881f589d36c93cddbe0a02f3367c3b8a02","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:50.048173Z","signature_b64":"x+covVXoiaSZfOjWgPgfX/Tl37s2u6fR0RgzzQn6AXsGkxSmB3XWk+gkCPeSxEtPGGPEBxgUKmDdcjrP2D/oDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac6a742fa5a54e12ffab2a8272c023881f589d36c93cddbe0a02f3367c3b8a02","last_reissued_at":"2026-05-18T00:22:50.047775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:50.047775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.07526","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":"2026-05-18T00:22:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CHbHD6+/Yipg+HAEcYDT29tN6UZrHGx4oJKK59nBhgthQ8xbd3NDM/HS5pvzoYCSvjGLvqeRnetXp2R7mBDwBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:30:55.155606Z"},"content_sha256":"94983708d645a1bdd4bb81f281fd9f6390b8c8e9641ca985d4f22dc270b274e9","schema_version":"1.0","event_id":"sha256:94983708d645a1bdd4bb81f281fd9f6390b8c8e9641ca985d4f22dc270b274e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VRVHIL5FUVHBF75LFKBHFQBDRA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Truncated Euler polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Claudio de J. Pita Ruiz, Takao Komatsu","submitted_at":"2018-02-21T11:49:16Z","abstract_excerpt":"We define a truncated Euler polynomial $E_{m,n}(x)$ as a generalization of the classical Euler polynomial $E_n(x)$. In this paper we give its some properties and relations with the hypergeometric Bernoulli polynomial."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07526","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":"2026-05-18T00:22:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nScez/8sd9eLso+MW/WU4EZn3rhWO31+0+dxKs994jR/ko3iKSyQgtbo8pY+jwGcyLC0LgUqxgQRUk87LAnTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:30:55.156221Z"},"content_sha256":"6ca55c48a23359c2db002f98ad97fca918cb438599ad793f58acd5300e248730","schema_version":"1.0","event_id":"sha256:6ca55c48a23359c2db002f98ad97fca918cb438599ad793f58acd5300e248730"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VRVHIL5FUVHBF75LFKBHFQBDRA/bundle.json","state_url":"https://pith.science/pith/VRVHIL5FUVHBF75LFKBHFQBDRA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VRVHIL5FUVHBF75LFKBHFQBDRA/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":"2026-05-26T08:30:55Z","links":{"resolver":"https://pith.science/pith/VRVHIL5FUVHBF75LFKBHFQBDRA","bundle":"https://pith.science/pith/VRVHIL5FUVHBF75LFKBHFQBDRA/bundle.json","state":"https://pith.science/pith/VRVHIL5FUVHBF75LFKBHFQBDRA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VRVHIL5FUVHBF75LFKBHFQBDRA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VRVHIL5FUVHBF75LFKBHFQBDRA","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":"1b2b93a91be92ae73a253357c45f8d2ff2328b1044a4f34b9218566512083305","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-21T11:49:16Z","title_canon_sha256":"4112bcfadfe333df4c4cf1d390a52c914283d591e5c426cce9f38e7b562c19d9"},"schema_version":"1.0","source":{"id":"1802.07526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07526","created_at":"2026-05-18T00:22:50Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07526v1","created_at":"2026-05-18T00:22:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07526","created_at":"2026-05-18T00:22:50Z"},{"alias_kind":"pith_short_12","alias_value":"VRVHIL5FUVHB","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VRVHIL5FUVHBF75L","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VRVHIL5F","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:6ca55c48a23359c2db002f98ad97fca918cb438599ad793f58acd5300e248730","target":"graph","created_at":"2026-05-18T00:22:50Z","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":"We define a truncated Euler polynomial $E_{m,n}(x)$ as a generalization of the classical Euler polynomial $E_n(x)$. In this paper we give its some properties and relations with the hypergeometric Bernoulli polynomial.","authors_text":"Claudio de J. Pita Ruiz, Takao Komatsu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-21T11:49:16Z","title":"Truncated Euler polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07526","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":"sha256:94983708d645a1bdd4bb81f281fd9f6390b8c8e9641ca985d4f22dc270b274e9","target":"record","created_at":"2026-05-18T00:22:50Z","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":"1b2b93a91be92ae73a253357c45f8d2ff2328b1044a4f34b9218566512083305","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-21T11:49:16Z","title_canon_sha256":"4112bcfadfe333df4c4cf1d390a52c914283d591e5c426cce9f38e7b562c19d9"},"schema_version":"1.0","source":{"id":"1802.07526","kind":"arxiv","version":1}},"canonical_sha256":"ac6a742fa5a54e12ffab2a8272c023881f589d36c93cddbe0a02f3367c3b8a02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac6a742fa5a54e12ffab2a8272c023881f589d36c93cddbe0a02f3367c3b8a02","first_computed_at":"2026-05-18T00:22:50.047775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:50.047775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x+covVXoiaSZfOjWgPgfX/Tl37s2u6fR0RgzzQn6AXsGkxSmB3XWk+gkCPeSxEtPGGPEBxgUKmDdcjrP2D/oDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:50.048173Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.07526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94983708d645a1bdd4bb81f281fd9f6390b8c8e9641ca985d4f22dc270b274e9","sha256:6ca55c48a23359c2db002f98ad97fca918cb438599ad793f58acd5300e248730"],"state_sha256":"491b4903a9979f62d67a7faaa1a414ebf7c51274137d0cd1990284230be916c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOFeW7Z5NpvXJelq9j7AHMBfEs4Bqg5DyXa4nlRziC1RNswIV/z+TV7oupv5kn9ERCavCEcwtKeTLI7kw8KVBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:30:55.159060Z","bundle_sha256":"76a51e0dd294b8f0d0d7f791054d492c8d886859f4046c7cd7a5e7ec4555c0ec"}}