{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:WGYKNE7GVQEGQAHJMA5PJ3MZXH","short_pith_number":"pith:WGYKNE7G","canonical_record":{"source":{"id":"gr-qc/0508079","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-08-19T17:04:04Z","cross_cats_sorted":[],"title_canon_sha256":"42660d5a2cb5497d0e817fc99a4eae6a42b2f647a07f7f5cb7b18656360c23fa","abstract_canon_sha256":"99b964e2ee75220096e36a8998c1b9d20ef0da9c050e096badf359c590e43f3c"},"schema_version":"1.0"},"canonical_sha256":"b1b0a693e6ac086800e9603af4ed99b9e1c016dbc46c37fe8bab9447b6381b59","source":{"kind":"arxiv","id":"gr-qc/0508079","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0508079","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0508079v2","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0508079","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"WGYKNE7GVQEG","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"pith_short_16","alias_value":"WGYKNE7GVQEGQAHJ","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"pith_short_8","alias_value":"WGYKNE7G","created_at":"2026-07-04T15:03:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:WGYKNE7GVQEGQAHJMA5PJ3MZXH","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0508079","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-08-19T17:04:04Z","cross_cats_sorted":[],"title_canon_sha256":"42660d5a2cb5497d0e817fc99a4eae6a42b2f647a07f7f5cb7b18656360c23fa","abstract_canon_sha256":"99b964e2ee75220096e36a8998c1b9d20ef0da9c050e096badf359c590e43f3c"},"schema_version":"1.0"},"canonical_sha256":"b1b0a693e6ac086800e9603af4ed99b9e1c016dbc46c37fe8bab9447b6381b59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:03:34.979509Z","signature_b64":"OrrxYfascEEE79IbmwBiWalaebN1AazCz9bsJzvjJN5TDamndDkiIXBEvyXoReYQqIWKjU9kZ2BPtFEtlHtNDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1b0a693e6ac086800e9603af4ed99b9e1c016dbc46c37fe8bab9447b6381b59","last_reissued_at":"2026-07-04T15:03:34.978976Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:03:34.978976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0508079","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i7SoV+U8XQH1E2UurF12d6KGtr4Rbdi2sa9iWDr1a6vN3vb+lMnp2J8e2FWAeIHyw7wRRASI92TXyp0Gcw1QBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:55:12.376711Z"},"content_sha256":"ef4c0c7afe3dc2e84430025fc2149c19bc3a81b61b78f755eb153f9ed10731a9","schema_version":"1.0","event_id":"sha256:ef4c0c7afe3dc2e84430025fc2149c19bc3a81b61b78f755eb153f9ed10731a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:WGYKNE7GVQEGQAHJMA5PJ3MZXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wormhole solution and Energy in Teleparallel Theory of Gravity","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Gamal G.L. Nashed","submitted_at":"2005-08-19T17:04:04Z","abstract_excerpt":"An exact solution is obtained in the tetrad theory of gravitation. This solution is characterized by two-parameters $k_1, k_2$ of spherically symmetric static Lorentzian wormhole which is obtained as a solution of the equation $\\rho=\\rho_t=0$ with $\\rho=T_{i,j}u^iu^j$, $\\rho_t=(T_{ij}-\\displaystyle{1 \\over 2}Tg_{ij}) u^iu^j$ where $u^iu_i=-1$.\n  From this solution which contains an arbitrary function we can generates the other two solutions obtained before. The associated metric of this spacetime is a static Lorentzian wormhole and it includes the Schwarzschild black hole, a family of naked si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0508079","kind":"arxiv","version":2},"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/gr-qc/0508079/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":"2026-07-04T15:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GoC/06WbWzdDjxXfRAwBnsmhwCup3mk54EbKBHKHgmFrMu3d/LqNrnpMkqJ3G26BHhMBdcDRgIeZ5eucrr85BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:55:12.377368Z"},"content_sha256":"5680cc5d9fb6230829d84ae3114a4889bc9caddf7848100e7ce9b7fb033dd221","schema_version":"1.0","event_id":"sha256:5680cc5d9fb6230829d84ae3114a4889bc9caddf7848100e7ce9b7fb033dd221"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WGYKNE7GVQEGQAHJMA5PJ3MZXH/bundle.json","state_url":"https://pith.science/pith/WGYKNE7GVQEGQAHJMA5PJ3MZXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WGYKNE7GVQEGQAHJMA5PJ3MZXH/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":"2026-08-12T17:55:12Z","links":{"resolver":"https://pith.science/pith/WGYKNE7GVQEGQAHJMA5PJ3MZXH","bundle":"https://pith.science/pith/WGYKNE7GVQEGQAHJMA5PJ3MZXH/bundle.json","state":"https://pith.science/pith/WGYKNE7GVQEGQAHJMA5PJ3MZXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WGYKNE7GVQEGQAHJMA5PJ3MZXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:WGYKNE7GVQEGQAHJMA5PJ3MZXH","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":"99b964e2ee75220096e36a8998c1b9d20ef0da9c050e096badf359c590e43f3c","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-08-19T17:04:04Z","title_canon_sha256":"42660d5a2cb5497d0e817fc99a4eae6a42b2f647a07f7f5cb7b18656360c23fa"},"schema_version":"1.0","source":{"id":"gr-qc/0508079","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0508079","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0508079v2","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0508079","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"WGYKNE7GVQEG","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"pith_short_16","alias_value":"WGYKNE7GVQEGQAHJ","created_at":"2026-07-04T15:03:34Z"},{"alias_kind":"pith_short_8","alias_value":"WGYKNE7G","created_at":"2026-07-04T15:03:34Z"}],"graph_snapshots":[{"event_id":"sha256:5680cc5d9fb6230829d84ae3114a4889bc9caddf7848100e7ce9b7fb033dd221","target":"graph","created_at":"2026-07-04T15:03:34Z","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/gr-qc/0508079/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An exact solution is obtained in the tetrad theory of gravitation. This solution is characterized by two-parameters $k_1, k_2$ of spherically symmetric static Lorentzian wormhole which is obtained as a solution of the equation $\\rho=\\rho_t=0$ with $\\rho=T_{i,j}u^iu^j$, $\\rho_t=(T_{ij}-\\displaystyle{1 \\over 2}Tg_{ij}) u^iu^j$ where $u^iu_i=-1$.\n  From this solution which contains an arbitrary function we can generates the other two solutions obtained before. The associated metric of this spacetime is a static Lorentzian wormhole and it includes the Schwarzschild black hole, a family of naked si","authors_text":"Gamal G.L. Nashed","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-08-19T17:04:04Z","title":"Wormhole solution and Energy in Teleparallel Theory of Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0508079","kind":"arxiv","version":2},"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:ef4c0c7afe3dc2e84430025fc2149c19bc3a81b61b78f755eb153f9ed10731a9","target":"record","created_at":"2026-07-04T15:03:34Z","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":"99b964e2ee75220096e36a8998c1b9d20ef0da9c050e096badf359c590e43f3c","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-08-19T17:04:04Z","title_canon_sha256":"42660d5a2cb5497d0e817fc99a4eae6a42b2f647a07f7f5cb7b18656360c23fa"},"schema_version":"1.0","source":{"id":"gr-qc/0508079","kind":"arxiv","version":2}},"canonical_sha256":"b1b0a693e6ac086800e9603af4ed99b9e1c016dbc46c37fe8bab9447b6381b59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1b0a693e6ac086800e9603af4ed99b9e1c016dbc46c37fe8bab9447b6381b59","first_computed_at":"2026-07-04T15:03:34.978976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:03:34.978976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OrrxYfascEEE79IbmwBiWalaebN1AazCz9bsJzvjJN5TDamndDkiIXBEvyXoReYQqIWKjU9kZ2BPtFEtlHtNDw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:03:34.979509Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0508079","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef4c0c7afe3dc2e84430025fc2149c19bc3a81b61b78f755eb153f9ed10731a9","sha256:5680cc5d9fb6230829d84ae3114a4889bc9caddf7848100e7ce9b7fb033dd221"],"state_sha256":"8c8ee75a75189997e605e388a667ac49699527df83af2a0b3076eea7b53dc01a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t76lqEPv2oqrh0150mg1n52icOKoSXguupSo6BhLw7+P0Qtyo0XDVbNnXFP7LAkHnr5nKLkCdQGAhDsLVhelAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T17:55:12.381956Z","bundle_sha256":"0c57b7318988d50c0c0042d82117f99e70cbaa0eff3d3c8243ad461b6b8575a4"}}