{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:TT4OTLM5CJFEX4JMEETEM4HNVN","short_pith_number":"pith:TT4OTLM5","schema_version":"1.0","canonical_sha256":"9cf8e9ad9d124a4bf12c21264670edab58d461ec19991645dff67450d96c57a5","source":{"kind":"arxiv","id":"1009.5280","version":1},"attestation_state":"computed","paper":{"title":"Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Sharif, Saira Waheed","submitted_at":"2010-09-24T02:33:00Z","abstract_excerpt":"This paper is devoted to study the energy problem in general relativity using approximate Lie symmetry methods for differential equations. We evaluate second-order approximate symmetries of the geodesic equations for the stringy charged black hole solutions. It is concluded that energy must be re-scaled by some factor in the second-order approximation."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1009.5280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-24T02:33:00Z","cross_cats_sorted":[],"title_canon_sha256":"76857991c3f63288350d819d3c82db2bad553c2795b19cb613ecf4c9dc390e50","abstract_canon_sha256":"33f58f00aea223b430fb4121335f5818aa1f8f7304fc4560309046c1866fabe7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:54.284764Z","signature_b64":"O9Zx3XRkPRFiyRVaBVXzGiXBV2b8fthr4iqWDYadgtc1mgv6vrVBJvkF1Ndc5+cNzsXO0OrrEoBJY7Cy6IsLAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9cf8e9ad9d124a4bf12c21264670edab58d461ec19991645dff67450d96c57a5","last_reissued_at":"2026-05-18T04:24:54.284146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:54.284146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Sharif, Saira Waheed","submitted_at":"2010-09-24T02:33:00Z","abstract_excerpt":"This paper is devoted to study the energy problem in general relativity using approximate Lie symmetry methods for differential equations. We evaluate second-order approximate symmetries of the geodesic equations for the stringy charged black hole solutions. It is concluded that energy must be re-scaled by some factor in the second-order approximation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5280","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1009.5280","created_at":"2026-05-18T04:24:54.284237+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.5280v1","created_at":"2026-05-18T04:24:54.284237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5280","created_at":"2026-05-18T04:24:54.284237+00:00"},{"alias_kind":"pith_short_12","alias_value":"TT4OTLM5CJFE","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"TT4OTLM5CJFEX4JM","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"TT4OTLM5","created_at":"2026-05-18T12:26:15.391820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TT4OTLM5CJFEX4JMEETEM4HNVN","json":"https://pith.science/pith/TT4OTLM5CJFEX4JMEETEM4HNVN.json","graph_json":"https://pith.science/api/pith-number/TT4OTLM5CJFEX4JMEETEM4HNVN/graph.json","events_json":"https://pith.science/api/pith-number/TT4OTLM5CJFEX4JMEETEM4HNVN/events.json","paper":"https://pith.science/paper/TT4OTLM5"},"agent_actions":{"view_html":"https://pith.science/pith/TT4OTLM5CJFEX4JMEETEM4HNVN","download_json":"https://pith.science/pith/TT4OTLM5CJFEX4JMEETEM4HNVN.json","view_paper":"https://pith.science/paper/TT4OTLM5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.5280&json=true","fetch_graph":"https://pith.science/api/pith-number/TT4OTLM5CJFEX4JMEETEM4HNVN/graph.json","fetch_events":"https://pith.science/api/pith-number/TT4OTLM5CJFEX4JMEETEM4HNVN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TT4OTLM5CJFEX4JMEETEM4HNVN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TT4OTLM5CJFEX4JMEETEM4HNVN/action/storage_attestation","attest_author":"https://pith.science/pith/TT4OTLM5CJFEX4JMEETEM4HNVN/action/author_attestation","sign_citation":"https://pith.science/pith/TT4OTLM5CJFEX4JMEETEM4HNVN/action/citation_signature","submit_replication":"https://pith.science/pith/TT4OTLM5CJFEX4JMEETEM4HNVN/action/replication_record"}},"created_at":"2026-05-18T04:24:54.284237+00:00","updated_at":"2026-05-18T04:24:54.284237+00:00"}