{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:UDFFSFWEZOKJQ5Q23IC3B473GZ","short_pith_number":"pith:UDFFSFWE","canonical_record":{"source":{"id":"1402.0167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-02T09:47:43Z","cross_cats_sorted":[],"title_canon_sha256":"9859764097dd69daab3122e6f69de5819c6914a4931e756e20ea23eaa295a061","abstract_canon_sha256":"9fcb82273643782080d3ffc5f1fcbecb681f2bf1e950c90cc2e65bf9ad3c13d3"},"schema_version":"1.0"},"canonical_sha256":"a0ca5916c4cb9498761ada05b0f3fb36470690ff0abb65621c78652413853e69","source":{"kind":"arxiv","id":"1402.0167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0167","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0167v1","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0167","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"pith_short_12","alias_value":"UDFFSFWEZOKJ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UDFFSFWEZOKJQ5Q2","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UDFFSFWE","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:UDFFSFWEZOKJQ5Q23IC3B473GZ","target":"record","payload":{"canonical_record":{"source":{"id":"1402.0167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-02T09:47:43Z","cross_cats_sorted":[],"title_canon_sha256":"9859764097dd69daab3122e6f69de5819c6914a4931e756e20ea23eaa295a061","abstract_canon_sha256":"9fcb82273643782080d3ffc5f1fcbecb681f2bf1e950c90cc2e65bf9ad3c13d3"},"schema_version":"1.0"},"canonical_sha256":"a0ca5916c4cb9498761ada05b0f3fb36470690ff0abb65621c78652413853e69","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:24.544496Z","signature_b64":"ZHe2C2Xygms5Z9cJZzym8T1wLG6wKWig2CIa4GVAymExguYZktm7gNZR1AUPQ9GIzv8n291MWNWwIW5Fl+1VAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0ca5916c4cb9498761ada05b0f3fb36470690ff0abb65621c78652413853e69","last_reissued_at":"2026-05-18T03:00:24.543631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:24.543631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.0167","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":"2026-05-18T03:00:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lcKybVo9T8LgsZnkTkqQO+aWakJFVysAJI/FGsRyWRmuSHhePpN2uZ70ghyu/hl+LLhTqU0OJcmPKlYTKCmkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:44:39.707061Z"},"content_sha256":"ade7b5b0ee334cab3c5316cff44c8352c078766108fa1ed1c5da3606be6062d3","schema_version":"1.0","event_id":"sha256:ade7b5b0ee334cab3c5316cff44c8352c078766108fa1ed1c5da3606be6062d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:UDFFSFWEZOKJQ5Q23IC3B473GZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Ratio of the Charm Structure Functions $F^{c}_{k}(k = 2, L)$ at Low x in Deep Inelastic Scattering with Respect to the Expansion Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"B.Rezaei, G.R.Boroun","submitted_at":"2014-02-02T09:47:43Z","abstract_excerpt":"We study the expansion method for the gluon distribution function at low x values and calculate the charm structure functions in the LO and NLO analysis. Our results provide a compact formula for the ratio $R^{c} =F^{c}_{L}/F^{c}_{2}$, which is approximately independent of x and the details of the parton distribution function at low x values. This ratio could be a good probe of the charm structure function $F^{c}_{2}$ in the proton deduced from the reduced charm cross sections at DESY HERA. These results show that the charm structure functions obtained are in agreement with HERA experimental d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0167","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":"2026-05-18T03:00:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1AcL8zX1g+R2jfxFpJGQohhkw3jsuu/w57DoezzIrSfS+KeXvYKG+p8RtkbutM9knnw5mP5Z67zrGHF2e+8BDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:44:39.707419Z"},"content_sha256":"7a9a2c364b38ee9ed04adbc9801f018f89176d563199d387d6262870f3c00437","schema_version":"1.0","event_id":"sha256:7a9a2c364b38ee9ed04adbc9801f018f89176d563199d387d6262870f3c00437"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UDFFSFWEZOKJQ5Q23IC3B473GZ/bundle.json","state_url":"https://pith.science/pith/UDFFSFWEZOKJQ5Q23IC3B473GZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UDFFSFWEZOKJQ5Q23IC3B473GZ/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":"2026-06-03T14:44:39Z","links":{"resolver":"https://pith.science/pith/UDFFSFWEZOKJQ5Q23IC3B473GZ","bundle":"https://pith.science/pith/UDFFSFWEZOKJQ5Q23IC3B473GZ/bundle.json","state":"https://pith.science/pith/UDFFSFWEZOKJQ5Q23IC3B473GZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UDFFSFWEZOKJQ5Q23IC3B473GZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UDFFSFWEZOKJQ5Q23IC3B473GZ","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":"9fcb82273643782080d3ffc5f1fcbecb681f2bf1e950c90cc2e65bf9ad3c13d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-02T09:47:43Z","title_canon_sha256":"9859764097dd69daab3122e6f69de5819c6914a4931e756e20ea23eaa295a061"},"schema_version":"1.0","source":{"id":"1402.0167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0167","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0167v1","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0167","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"pith_short_12","alias_value":"UDFFSFWEZOKJ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UDFFSFWEZOKJQ5Q2","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UDFFSFWE","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:7a9a2c364b38ee9ed04adbc9801f018f89176d563199d387d6262870f3c00437","target":"graph","created_at":"2026-05-18T03:00:24Z","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 study the expansion method for the gluon distribution function at low x values and calculate the charm structure functions in the LO and NLO analysis. Our results provide a compact formula for the ratio $R^{c} =F^{c}_{L}/F^{c}_{2}$, which is approximately independent of x and the details of the parton distribution function at low x values. This ratio could be a good probe of the charm structure function $F^{c}_{2}$ in the proton deduced from the reduced charm cross sections at DESY HERA. These results show that the charm structure functions obtained are in agreement with HERA experimental d","authors_text":"B.Rezaei, G.R.Boroun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-02T09:47:43Z","title":"The Ratio of the Charm Structure Functions $F^{c}_{k}(k = 2, L)$ at Low x in Deep Inelastic Scattering with Respect to the Expansion Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0167","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:ade7b5b0ee334cab3c5316cff44c8352c078766108fa1ed1c5da3606be6062d3","target":"record","created_at":"2026-05-18T03:00:24Z","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":"9fcb82273643782080d3ffc5f1fcbecb681f2bf1e950c90cc2e65bf9ad3c13d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-02T09:47:43Z","title_canon_sha256":"9859764097dd69daab3122e6f69de5819c6914a4931e756e20ea23eaa295a061"},"schema_version":"1.0","source":{"id":"1402.0167","kind":"arxiv","version":1}},"canonical_sha256":"a0ca5916c4cb9498761ada05b0f3fb36470690ff0abb65621c78652413853e69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0ca5916c4cb9498761ada05b0f3fb36470690ff0abb65621c78652413853e69","first_computed_at":"2026-05-18T03:00:24.543631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:24.543631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZHe2C2Xygms5Z9cJZzym8T1wLG6wKWig2CIa4GVAymExguYZktm7gNZR1AUPQ9GIzv8n291MWNWwIW5Fl+1VAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:24.544496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.0167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ade7b5b0ee334cab3c5316cff44c8352c078766108fa1ed1c5da3606be6062d3","sha256:7a9a2c364b38ee9ed04adbc9801f018f89176d563199d387d6262870f3c00437"],"state_sha256":"bf6b03e99b83c53c61d44e4da14b95c4ab8e8f146255d4196f9a3ef1636de335"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h5veiFZIPuOxyD0YxzhgevFuq8JNCSkTT4OQoavSHlxh1nAEfjuSCKRADRRrmWRyfRoSKWUSLYaUunZ1dDeGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:44:39.709303Z","bundle_sha256":"fdbe8e438c93d4a9e7a678f73d2be41c17f9d4bd94012ae7582f440f3cf8eb55"}}