{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OHG6EMB7PQ2QPXZ67VK36KDKWR","short_pith_number":"pith:OHG6EMB7","canonical_record":{"source":{"id":"1804.11334","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-30T17:27:14Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"3fe695ac81caefec348c616d7ca213c19f3c1ce5eb695e209ddb5672ccef1d98","abstract_canon_sha256":"91f6cd49fe8088d3e3c1555f5f1bd88ea77cede653c7eff369c2d37a013ed0a8"},"schema_version":"1.0"},"canonical_sha256":"71cde2303f7c3507df3efd55bf286ab44b193223a5563d46932bcec9fcb687a3","source":{"kind":"arxiv","id":"1804.11334","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.11334","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"arxiv_version","alias_value":"1804.11334v2","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.11334","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"pith_short_12","alias_value":"OHG6EMB7PQ2Q","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OHG6EMB7PQ2QPXZ6","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OHG6EMB7","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OHG6EMB7PQ2QPXZ67VK36KDKWR","target":"record","payload":{"canonical_record":{"source":{"id":"1804.11334","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-30T17:27:14Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"3fe695ac81caefec348c616d7ca213c19f3c1ce5eb695e209ddb5672ccef1d98","abstract_canon_sha256":"91f6cd49fe8088d3e3c1555f5f1bd88ea77cede653c7eff369c2d37a013ed0a8"},"schema_version":"1.0"},"canonical_sha256":"71cde2303f7c3507df3efd55bf286ab44b193223a5563d46932bcec9fcb687a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:17.368103Z","signature_b64":"N1IoGsZa1u/wtovJ4fM+838HNw3VCixLa9hjFyAurZWK19Ez6y7qWSqwcVmLGXvLartgKumoh1KXusCNIYgCCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71cde2303f7c3507df3efd55bf286ab44b193223a5563d46932bcec9fcb687a3","last_reissued_at":"2026-05-18T00:04:17.367358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:17.367358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.11334","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":"2026-05-18T00:04:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NvkK7fbujgswuoH9rD68XcKiAvLCSEiosotFQdNenBYdaXafhyssvUjN3XESJh0Hdk6qsq+6/DemmntT4NR+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:04:26.228076Z"},"content_sha256":"ecc3ee48866a56bc110693a83b6aeb05300ddace13c255469fab5fe38a64e6c2","schema_version":"1.0","event_id":"sha256:ecc3ee48866a56bc110693a83b6aeb05300ddace13c255469fab5fe38a64e6c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OHG6EMB7PQ2QPXZ67VK36KDKWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Einstein-Cartan-Dirac equations in the Newman-Penrose formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Abhinav Varma, Navya Gupta, Nehal Mittal, Swanand Khanapurkar, Tejinder P. Singh","submitted_at":"2018-04-30T17:27:14Z","abstract_excerpt":"We formulate the Einstein-Cartan-Dirac equations in the Newman-Penrose (NP) formalism, thereby presenting a more accurate and explicit analysis of previous such studies. The equations show in a transparent way how the Einstein-Dirac equations are modified by the inclusion of torsion. In particular, the Hehl-Datta equation is presented in NP notation. We then describe a few solutions of the Hehl-Datta equation on Minkowski space-time, and in particular report a solitonic solution which removes the unphysical behavioiur of the corresponding Dirac solution. The present work serves as a prelude to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.11334","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":""},"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":"2026-05-18T00:04:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SgeVqAuB1SbND7CftOCY0h5gjOz0zt+rMIjnQBfDwwQwYJk2blJTiGXELKb0jTD29mGy1K/B/VN0oHqsBNJGDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:04:26.228693Z"},"content_sha256":"da6ca79c7934a06cc3c4bc4aef989287c05ff313cf9055814c91b026877486ee","schema_version":"1.0","event_id":"sha256:da6ca79c7934a06cc3c4bc4aef989287c05ff313cf9055814c91b026877486ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OHG6EMB7PQ2QPXZ67VK36KDKWR/bundle.json","state_url":"https://pith.science/pith/OHG6EMB7PQ2QPXZ67VK36KDKWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OHG6EMB7PQ2QPXZ67VK36KDKWR/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":"2026-05-31T04:04:26Z","links":{"resolver":"https://pith.science/pith/OHG6EMB7PQ2QPXZ67VK36KDKWR","bundle":"https://pith.science/pith/OHG6EMB7PQ2QPXZ67VK36KDKWR/bundle.json","state":"https://pith.science/pith/OHG6EMB7PQ2QPXZ67VK36KDKWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OHG6EMB7PQ2QPXZ67VK36KDKWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OHG6EMB7PQ2QPXZ67VK36KDKWR","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":"91f6cd49fe8088d3e3c1555f5f1bd88ea77cede653c7eff369c2d37a013ed0a8","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-30T17:27:14Z","title_canon_sha256":"3fe695ac81caefec348c616d7ca213c19f3c1ce5eb695e209ddb5672ccef1d98"},"schema_version":"1.0","source":{"id":"1804.11334","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.11334","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"arxiv_version","alias_value":"1804.11334v2","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.11334","created_at":"2026-05-18T00:04:17Z"},{"alias_kind":"pith_short_12","alias_value":"OHG6EMB7PQ2Q","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OHG6EMB7PQ2QPXZ6","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OHG6EMB7","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:da6ca79c7934a06cc3c4bc4aef989287c05ff313cf9055814c91b026877486ee","target":"graph","created_at":"2026-05-18T00:04:17Z","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 formulate the Einstein-Cartan-Dirac equations in the Newman-Penrose (NP) formalism, thereby presenting a more accurate and explicit analysis of previous such studies. The equations show in a transparent way how the Einstein-Dirac equations are modified by the inclusion of torsion. In particular, the Hehl-Datta equation is presented in NP notation. We then describe a few solutions of the Hehl-Datta equation on Minkowski space-time, and in particular report a solitonic solution which removes the unphysical behavioiur of the corresponding Dirac solution. The present work serves as a prelude to","authors_text":"Abhinav Varma, Navya Gupta, Nehal Mittal, Swanand Khanapurkar, Tejinder P. Singh","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-30T17:27:14Z","title":"Einstein-Cartan-Dirac equations in the Newman-Penrose formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.11334","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:ecc3ee48866a56bc110693a83b6aeb05300ddace13c255469fab5fe38a64e6c2","target":"record","created_at":"2026-05-18T00:04:17Z","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":"91f6cd49fe8088d3e3c1555f5f1bd88ea77cede653c7eff369c2d37a013ed0a8","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-30T17:27:14Z","title_canon_sha256":"3fe695ac81caefec348c616d7ca213c19f3c1ce5eb695e209ddb5672ccef1d98"},"schema_version":"1.0","source":{"id":"1804.11334","kind":"arxiv","version":2}},"canonical_sha256":"71cde2303f7c3507df3efd55bf286ab44b193223a5563d46932bcec9fcb687a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71cde2303f7c3507df3efd55bf286ab44b193223a5563d46932bcec9fcb687a3","first_computed_at":"2026-05-18T00:04:17.367358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:17.367358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N1IoGsZa1u/wtovJ4fM+838HNw3VCixLa9hjFyAurZWK19Ez6y7qWSqwcVmLGXvLartgKumoh1KXusCNIYgCCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:17.368103Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.11334","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecc3ee48866a56bc110693a83b6aeb05300ddace13c255469fab5fe38a64e6c2","sha256:da6ca79c7934a06cc3c4bc4aef989287c05ff313cf9055814c91b026877486ee"],"state_sha256":"db5713f0662866b27c30282c7eb787ffed5331090dbd5d39b6cd703ce34f7bf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HFjZnPqu0wb/NfTQjRicq6bJZWPSwbEWAJbHZ9N338WjFcg+x1zUm5HtYAQ1kfqUARcDbM3q9cN6Xql3s528Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:04:26.231941Z","bundle_sha256":"6aa8f3f9ff082337190befb7f30be8fbc16b041de033a8a55828f08c2d51d3f7"}}