{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3XQTM7XL2EWEWG7ENVWWOO53QO","short_pith_number":"pith:3XQTM7XL","canonical_record":{"source":{"id":"1701.02674","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-03T10:03:56Z","cross_cats_sorted":[],"title_canon_sha256":"4a39350f85d054697ffe62429c46623da86b081407cbba32909c3e0183f5cbc0","abstract_canon_sha256":"f36dc99d6e233b59a2ac3a8b2301b3cf32b684e70f542e486208f0f02e263bb6"},"schema_version":"1.0"},"canonical_sha256":"dde1367eebd12c4b1be46d6d673bbb839ce883945b635929c5e1fd72ce4f6599","source":{"kind":"arxiv","id":"1701.02674","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02674","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02674v1","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02674","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"3XQTM7XL2EWE","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3XQTM7XL2EWEWG7E","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3XQTM7XL","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3XQTM7XL2EWEWG7ENVWWOO53QO","target":"record","payload":{"canonical_record":{"source":{"id":"1701.02674","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-03T10:03:56Z","cross_cats_sorted":[],"title_canon_sha256":"4a39350f85d054697ffe62429c46623da86b081407cbba32909c3e0183f5cbc0","abstract_canon_sha256":"f36dc99d6e233b59a2ac3a8b2301b3cf32b684e70f542e486208f0f02e263bb6"},"schema_version":"1.0"},"canonical_sha256":"dde1367eebd12c4b1be46d6d673bbb839ce883945b635929c5e1fd72ce4f6599","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:03.696486Z","signature_b64":"EPDVDc8MLqgpS3zyFiL+SJcpQmvX7OzCf8A/Iwm42XFSFLPUkJAdTqe+vWmezvrkoZihEjQq1BOOTQtsRAsUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dde1367eebd12c4b1be46d6d673bbb839ce883945b635929c5e1fd72ce4f6599","last_reissued_at":"2026-05-18T00:53:03.695746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:03.695746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.02674","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":"2026-05-18T00:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nr0hfVMkMEnJNzaTlRWXRZIU9ftQtRvGgrd/QbQBTOhIDc3xeTK11luRG+zphNoygfaEc/FYsgmhuHbrG8AdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T10:53:03.350214Z"},"content_sha256":"b65f4f42c94e5725eff5cab4325c4737f0f6172e1616fe54f8629656e9211df3","schema_version":"1.0","event_id":"sha256:b65f4f42c94e5725eff5cab4325c4737f0f6172e1616fe54f8629656e9211df3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3XQTM7XL2EWEWG7ENVWWOO53QO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some new formulas for Appell series over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Long Li, Rui Mao, Xin Li","submitted_at":"2017-01-03T10:03:56Z","abstract_excerpt":"In 1987 Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02674","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":"2026-05-18T00:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gKCu5JvReqBHFxmzEJNIkCgmmc8DRLnh/TxhpnFreH4eP8c8z/2R+A5du+BK/KQccQCp1PIOihw3QFM4U684BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T10:53:03.350906Z"},"content_sha256":"e01b0346a8bfe948230d7423a325a2de79ca22ddb389761e6d2e8955031f6357","schema_version":"1.0","event_id":"sha256:e01b0346a8bfe948230d7423a325a2de79ca22ddb389761e6d2e8955031f6357"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/bundle.json","state_url":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/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":"2026-05-22T10:53:03Z","links":{"resolver":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO","bundle":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/bundle.json","state":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3XQTM7XL2EWEWG7ENVWWOO53QO","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":"f36dc99d6e233b59a2ac3a8b2301b3cf32b684e70f542e486208f0f02e263bb6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-03T10:03:56Z","title_canon_sha256":"4a39350f85d054697ffe62429c46623da86b081407cbba32909c3e0183f5cbc0"},"schema_version":"1.0","source":{"id":"1701.02674","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02674","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02674v1","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02674","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"3XQTM7XL2EWE","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3XQTM7XL2EWEWG7E","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3XQTM7XL","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:e01b0346a8bfe948230d7423a325a2de79ca22ddb389761e6d2e8955031f6357","target":"graph","created_at":"2026-05-18T00:53:03Z","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 1987 Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields.","authors_text":"Long Li, Rui Mao, Xin Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-03T10:03:56Z","title":"Some new formulas for Appell series over finite fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02674","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:b65f4f42c94e5725eff5cab4325c4737f0f6172e1616fe54f8629656e9211df3","target":"record","created_at":"2026-05-18T00:53:03Z","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":"f36dc99d6e233b59a2ac3a8b2301b3cf32b684e70f542e486208f0f02e263bb6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-03T10:03:56Z","title_canon_sha256":"4a39350f85d054697ffe62429c46623da86b081407cbba32909c3e0183f5cbc0"},"schema_version":"1.0","source":{"id":"1701.02674","kind":"arxiv","version":1}},"canonical_sha256":"dde1367eebd12c4b1be46d6d673bbb839ce883945b635929c5e1fd72ce4f6599","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dde1367eebd12c4b1be46d6d673bbb839ce883945b635929c5e1fd72ce4f6599","first_computed_at":"2026-05-18T00:53:03.695746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:03.695746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EPDVDc8MLqgpS3zyFiL+SJcpQmvX7OzCf8A/Iwm42XFSFLPUkJAdTqe+vWmezvrkoZihEjQq1BOOTQtsRAsUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:03.696486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02674","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b65f4f42c94e5725eff5cab4325c4737f0f6172e1616fe54f8629656e9211df3","sha256:e01b0346a8bfe948230d7423a325a2de79ca22ddb389761e6d2e8955031f6357"],"state_sha256":"7cf27ee9e26fd950a8bf0abe59c333b25fa84ef2b55a721a05fa88427ff69597"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cTAQ0fpTGe6thLJd5kudfqpvszb0ly7xQ5lTrmSmiC3xS2SxYebP8/wWZr4x/qHhaDWRxFxGKEmUcBvzrbhtBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T10:53:03.355024Z","bundle_sha256":"202aadaecc5f513652a812454e259fab7e696515c6a91ea3127733aad6a27973"}}