{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:HCGMTB64KMDSBB636CU5S6BXRV","short_pith_number":"pith:HCGMTB64","canonical_record":{"source":{"id":"2305.08968","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2023-05-15T19:15:17Z","cross_cats_sorted":[],"title_canon_sha256":"d1063bcf75a12e4062ad2e3a212d078bca47773910e567377e296d04e9ac10ff","abstract_canon_sha256":"1bf89c4f0990d9813b44b314e664ed13defaddd6c9c11b8ae42a6ca12a82a29e"},"schema_version":"1.0"},"canonical_sha256":"388cc987dc53072087dbf0a9d978378d68d3c512e73ddd45b8d25b7d82c2fdb3","source":{"kind":"arxiv","id":"2305.08968","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.08968","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"arxiv_version","alias_value":"2305.08968v1","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.08968","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"pith_short_12","alias_value":"HCGMTB64KMDS","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"pith_short_16","alias_value":"HCGMTB64KMDSBB63","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"pith_short_8","alias_value":"HCGMTB64","created_at":"2026-07-05T06:10:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:HCGMTB64KMDSBB636CU5S6BXRV","target":"record","payload":{"canonical_record":{"source":{"id":"2305.08968","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2023-05-15T19:15:17Z","cross_cats_sorted":[],"title_canon_sha256":"d1063bcf75a12e4062ad2e3a212d078bca47773910e567377e296d04e9ac10ff","abstract_canon_sha256":"1bf89c4f0990d9813b44b314e664ed13defaddd6c9c11b8ae42a6ca12a82a29e"},"schema_version":"1.0"},"canonical_sha256":"388cc987dc53072087dbf0a9d978378d68d3c512e73ddd45b8d25b7d82c2fdb3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:10:41.948978Z","signature_b64":"YzbtX4Cxh9wEEpBPlrRQOF0zGlYQVyJ60bkO7MCW/oa/X+Pkyizr4O7jnlwLqoTcU0MRz/x5uQb4I7ulS3QYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"388cc987dc53072087dbf0a9d978378d68d3c512e73ddd45b8d25b7d82c2fdb3","last_reissued_at":"2026-07-05T06:10:41.948541Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:10:41.948541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.08968","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":"2026-07-05T06:10:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XZS82ZeslmHtvOOx7jPvFeoT8yC5nwCAiKDQOQ524qp/fja4QeUdVdB/RJz/D/ud2cubtRof/Od2kmIeNQhMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:58:23.397779Z"},"content_sha256":"a7820e4c82ef8fa6a542580970362c814dab54bcedd9fc4e49853919e12a6f13","schema_version":"1.0","event_id":"sha256:a7820e4c82ef8fa6a542580970362c814dab54bcedd9fc4e49853919e12a6f13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:HCGMTB64KMDSBB636CU5S6BXRV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Fundamental Criteria to Establish General Formulas of Integrals","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Ahmad Qazza, Emad Kuffi, Mohammad Abu-Ghuwaleh, Rania Saadeh","submitted_at":"2023-05-15T19:15:17Z","abstract_excerpt":"In this study, new master theorems and general formulas of integrals are presented and implemented to solve some complicated applications in different fields of science. The proposed theorems are considered to be generators of new problems, including difficult integrals with their exact solutions. The results of these problems can be obtained directly without the need for difficult calculations. New criteria for treating improper integrals are presented and illustrated in four interesting examples and some tables to simplify the procedure of using the proposed theorems. The outcomes of this st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.08968","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.08968/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:10:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sf2wa/Q/AtayGeqngxSXTNzy/BxjJGRyB+Hjus2inn+6Loo+TumcDgqLQ1UpaAxLRHe7Hr5z5JdMcczAZTb8CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:58:23.398239Z"},"content_sha256":"7c3ac80e22c628976542c3351c2d4cd705571be5e57382bcb490590c521d9b5e","schema_version":"1.0","event_id":"sha256:7c3ac80e22c628976542c3351c2d4cd705571be5e57382bcb490590c521d9b5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HCGMTB64KMDSBB636CU5S6BXRV/bundle.json","state_url":"https://pith.science/pith/HCGMTB64KMDSBB636CU5S6BXRV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HCGMTB64KMDSBB636CU5S6BXRV/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":"2026-07-05T15:58:23Z","links":{"resolver":"https://pith.science/pith/HCGMTB64KMDSBB636CU5S6BXRV","bundle":"https://pith.science/pith/HCGMTB64KMDSBB636CU5S6BXRV/bundle.json","state":"https://pith.science/pith/HCGMTB64KMDSBB636CU5S6BXRV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HCGMTB64KMDSBB636CU5S6BXRV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HCGMTB64KMDSBB636CU5S6BXRV","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":"1bf89c4f0990d9813b44b314e664ed13defaddd6c9c11b8ae42a6ca12a82a29e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2023-05-15T19:15:17Z","title_canon_sha256":"d1063bcf75a12e4062ad2e3a212d078bca47773910e567377e296d04e9ac10ff"},"schema_version":"1.0","source":{"id":"2305.08968","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.08968","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"arxiv_version","alias_value":"2305.08968v1","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.08968","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"pith_short_12","alias_value":"HCGMTB64KMDS","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"pith_short_16","alias_value":"HCGMTB64KMDSBB63","created_at":"2026-07-05T06:10:41Z"},{"alias_kind":"pith_short_8","alias_value":"HCGMTB64","created_at":"2026-07-05T06:10:41Z"}],"graph_snapshots":[{"event_id":"sha256:7c3ac80e22c628976542c3351c2d4cd705571be5e57382bcb490590c521d9b5e","target":"graph","created_at":"2026-07-05T06:10:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.08968/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this study, new master theorems and general formulas of integrals are presented and implemented to solve some complicated applications in different fields of science. The proposed theorems are considered to be generators of new problems, including difficult integrals with their exact solutions. The results of these problems can be obtained directly without the need for difficult calculations. New criteria for treating improper integrals are presented and illustrated in four interesting examples and some tables to simplify the procedure of using the proposed theorems. The outcomes of this st","authors_text":"Ahmad Qazza, Emad Kuffi, Mohammad Abu-Ghuwaleh, Rania Saadeh","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2023-05-15T19:15:17Z","title":"A Fundamental Criteria to Establish General Formulas of Integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.08968","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:a7820e4c82ef8fa6a542580970362c814dab54bcedd9fc4e49853919e12a6f13","target":"record","created_at":"2026-07-05T06:10:41Z","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":"1bf89c4f0990d9813b44b314e664ed13defaddd6c9c11b8ae42a6ca12a82a29e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2023-05-15T19:15:17Z","title_canon_sha256":"d1063bcf75a12e4062ad2e3a212d078bca47773910e567377e296d04e9ac10ff"},"schema_version":"1.0","source":{"id":"2305.08968","kind":"arxiv","version":1}},"canonical_sha256":"388cc987dc53072087dbf0a9d978378d68d3c512e73ddd45b8d25b7d82c2fdb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"388cc987dc53072087dbf0a9d978378d68d3c512e73ddd45b8d25b7d82c2fdb3","first_computed_at":"2026-07-05T06:10:41.948541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:10:41.948541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YzbtX4Cxh9wEEpBPlrRQOF0zGlYQVyJ60bkO7MCW/oa/X+Pkyizr4O7jnlwLqoTcU0MRz/x5uQb4I7ulS3QYCw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:10:41.948978Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.08968","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7820e4c82ef8fa6a542580970362c814dab54bcedd9fc4e49853919e12a6f13","sha256:7c3ac80e22c628976542c3351c2d4cd705571be5e57382bcb490590c521d9b5e"],"state_sha256":"aca3f8681c63cef29829eb6c042d70f786392f3ea0b1b646acedb97259620a14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LY85pe7Uj62k2AwrAxeTMtWRGNkbttBeNK0WrTCh+2lzGoNvp7lhXnIfOUMFzTk2bY3PGbVoDAbqWiUcmawzCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:58:23.400531Z","bundle_sha256":"c6c3d1a14f469c17feb16e6b515c643cdfeb741a6b1a4c8e2f4c32757d876e63"}}