{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WU4WCPYSE5LHMMXIBGRRJF7YQ5","short_pith_number":"pith:WU4WCPYS","canonical_record":{"source":{"id":"1201.0420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-02T04:47:24Z","cross_cats_sorted":[],"title_canon_sha256":"013a8e049e025685a0fe94460bb8f2375026ad33db1e0ae0c525bbcbcb6df0d3","abstract_canon_sha256":"cfb81680ba8aa112863a6cf39fb81e1cdc6ac9d226b87b86b6788feea20efc78"},"schema_version":"1.0"},"canonical_sha256":"b539613f1227567632e809a31497f887468bcd2412dfd4dc6e159b73e7cb9374","source":{"kind":"arxiv","id":"1201.0420","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0420","created_at":"2026-05-18T04:05:17Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0420v1","created_at":"2026-05-18T04:05:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0420","created_at":"2026-05-18T04:05:17Z"},{"alias_kind":"pith_short_12","alias_value":"WU4WCPYSE5LH","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WU4WCPYSE5LHMMXI","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WU4WCPYS","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WU4WCPYSE5LHMMXIBGRRJF7YQ5","target":"record","payload":{"canonical_record":{"source":{"id":"1201.0420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-02T04:47:24Z","cross_cats_sorted":[],"title_canon_sha256":"013a8e049e025685a0fe94460bb8f2375026ad33db1e0ae0c525bbcbcb6df0d3","abstract_canon_sha256":"cfb81680ba8aa112863a6cf39fb81e1cdc6ac9d226b87b86b6788feea20efc78"},"schema_version":"1.0"},"canonical_sha256":"b539613f1227567632e809a31497f887468bcd2412dfd4dc6e159b73e7cb9374","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:17.569325Z","signature_b64":"CCsZKV7YLdCVqK7lXVZGbfKYXy/Eo7xHsniHqd9X7Xdg5yyeCwPxoNyOcw8xPmeHtc2/y/mQPGCK59FITQGIBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b539613f1227567632e809a31497f887468bcd2412dfd4dc6e159b73e7cb9374","last_reissued_at":"2026-05-18T04:05:17.568792Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:17.568792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.0420","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":"2026-05-18T04:05:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PqSQmx0Dk86V1pAosVDB1q34yEw0+zjJNJICkxvj1/Rj+eqcOgktIG08oyUSxu2xiCvsqShaqRumHi3di7CLCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:06:30.305730Z"},"content_sha256":"d0ef57035c536bb7673da258b12669da671ba6f32496f4b0d446dffec526deb9","schema_version":"1.0","event_id":"sha256:d0ef57035c536bb7673da258b12669da671ba6f32496f4b0d446dffec526deb9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WU4WCPYSE5LHMMXIBGRRJF7YQ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chu-Vandermonde convolution and harmonic number identities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Chuanan Wei, Dianxuan Gong, Qin Wang","submitted_at":"2012-01-02T04:47:24Z","abstract_excerpt":"By applying the derivative operators to Chu-Vandermonde convolution, several general harmonic number identities are established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0420","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":"2026-05-18T04:05:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LHpHCqT2sxYzthIzmBPemEw2oSc+A0lQuArvyfDXUVmJyaczKejC4YnOVACMCTXbnHhvowTSmMtEXr1OVQnkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:06:30.306355Z"},"content_sha256":"78df419d3d561d6c345525ad5a64740846caacd03bf14af5835e080364ec4148","schema_version":"1.0","event_id":"sha256:78df419d3d561d6c345525ad5a64740846caacd03bf14af5835e080364ec4148"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WU4WCPYSE5LHMMXIBGRRJF7YQ5/bundle.json","state_url":"https://pith.science/pith/WU4WCPYSE5LHMMXIBGRRJF7YQ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WU4WCPYSE5LHMMXIBGRRJF7YQ5/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":"2026-06-06T12:06:30Z","links":{"resolver":"https://pith.science/pith/WU4WCPYSE5LHMMXIBGRRJF7YQ5","bundle":"https://pith.science/pith/WU4WCPYSE5LHMMXIBGRRJF7YQ5/bundle.json","state":"https://pith.science/pith/WU4WCPYSE5LHMMXIBGRRJF7YQ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WU4WCPYSE5LHMMXIBGRRJF7YQ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WU4WCPYSE5LHMMXIBGRRJF7YQ5","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":"cfb81680ba8aa112863a6cf39fb81e1cdc6ac9d226b87b86b6788feea20efc78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-02T04:47:24Z","title_canon_sha256":"013a8e049e025685a0fe94460bb8f2375026ad33db1e0ae0c525bbcbcb6df0d3"},"schema_version":"1.0","source":{"id":"1201.0420","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0420","created_at":"2026-05-18T04:05:17Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0420v1","created_at":"2026-05-18T04:05:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0420","created_at":"2026-05-18T04:05:17Z"},{"alias_kind":"pith_short_12","alias_value":"WU4WCPYSE5LH","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WU4WCPYSE5LHMMXI","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WU4WCPYS","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:78df419d3d561d6c345525ad5a64740846caacd03bf14af5835e080364ec4148","target":"graph","created_at":"2026-05-18T04:05:17Z","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":"By applying the derivative operators to Chu-Vandermonde convolution, several general harmonic number identities are established.","authors_text":"Chuanan Wei, Dianxuan Gong, Qin Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-02T04:47:24Z","title":"Chu-Vandermonde convolution and harmonic number identities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0420","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:d0ef57035c536bb7673da258b12669da671ba6f32496f4b0d446dffec526deb9","target":"record","created_at":"2026-05-18T04:05:17Z","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":"cfb81680ba8aa112863a6cf39fb81e1cdc6ac9d226b87b86b6788feea20efc78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-01-02T04:47:24Z","title_canon_sha256":"013a8e049e025685a0fe94460bb8f2375026ad33db1e0ae0c525bbcbcb6df0d3"},"schema_version":"1.0","source":{"id":"1201.0420","kind":"arxiv","version":1}},"canonical_sha256":"b539613f1227567632e809a31497f887468bcd2412dfd4dc6e159b73e7cb9374","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b539613f1227567632e809a31497f887468bcd2412dfd4dc6e159b73e7cb9374","first_computed_at":"2026-05-18T04:05:17.568792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:17.568792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CCsZKV7YLdCVqK7lXVZGbfKYXy/Eo7xHsniHqd9X7Xdg5yyeCwPxoNyOcw8xPmeHtc2/y/mQPGCK59FITQGIBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:17.569325Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0420","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0ef57035c536bb7673da258b12669da671ba6f32496f4b0d446dffec526deb9","sha256:78df419d3d561d6c345525ad5a64740846caacd03bf14af5835e080364ec4148"],"state_sha256":"a44cbb67ca603ca0e2489214b081f871a3df4a1b1b5a5d973b6715c5290b1b1a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zDUtrlh5nfKw3S/fseCoZZNsx5UukSAUmAt8JL1xuSKpVjRR4nNNT1mW/13/8r7PCH3yjYmU2uFm3gfWKOHfBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T12:06:30.309874Z","bundle_sha256":"f165d6c4567ee3e0b318c911e5bcbc2e1f98510ffee8a318009a98879662d7bd"}}