{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:CMNSGCDNARCBYJAOLOFN3LX5E7","short_pith_number":"pith:CMNSGCDN","schema_version":"1.0","canonical_sha256":"131b23086d04441c240e5b8addaefd27e8bdc8b2d534550b673233e88efca535","source":{"kind":"arxiv","id":"0912.1433","version":2},"attestation_state":"computed","paper":{"title":"Generalized Chern-Simons Modified Gravity in First-Order Formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"\\\"Ozg\\\"ur A\\c{c}{\\i}k, \\\"Umit Ertem","submitted_at":"2009-12-08T08:47:40Z","abstract_excerpt":"We propose a generalization of Chern-Simons (CS) modified gravity in first-order formalism. CS modified gravity action has a term that comes from the chiral anomaly which is Pontryagin invariant. First-order CS modified gravity is a torsional theory and in a space-time with torsion the chiral anomaly includes a torsional topological term called Nieh-Yan invariant. We generalize the CS modified gravity by adding the Nieh-Yan term to the action and find the effective theory. We compare the generalized theory with the first-order CS modified gravity and comment on the similarities and differences"},"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":"0912.1433","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-12-08T08:47:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"639634579f8d9b09b43ff4a7dd6714292438cfe9f68ce8e11af962b239901fdc","abstract_canon_sha256":"f36318dd1f668f756c1b4a04a78c36995e727b85df2ad9c9e83ff358fb5dea5d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:24.175114Z","signature_b64":"6bevD3RT2Y0PHmdGeEPQXigyfSE+9h+jfwlPzLPPnB8GRotpb6pNsHG09icvA7QoTi0aiV3Uzojm/nBnuHCOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"131b23086d04441c240e5b8addaefd27e8bdc8b2d534550b673233e88efca535","last_reissued_at":"2026-05-18T01:09:24.174602Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:24.174602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Chern-Simons Modified Gravity in First-Order Formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"\\\"Ozg\\\"ur A\\c{c}{\\i}k, \\\"Umit Ertem","submitted_at":"2009-12-08T08:47:40Z","abstract_excerpt":"We propose a generalization of Chern-Simons (CS) modified gravity in first-order formalism. CS modified gravity action has a term that comes from the chiral anomaly which is Pontryagin invariant. First-order CS modified gravity is a torsional theory and in a space-time with torsion the chiral anomaly includes a torsional topological term called Nieh-Yan invariant. We generalize the CS modified gravity by adding the Nieh-Yan term to the action and find the effective theory. We compare the generalized theory with the first-order CS modified gravity and comment on the similarities and differences"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1433","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0912.1433","created_at":"2026-05-18T01:09:24.174693+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.1433v2","created_at":"2026-05-18T01:09:24.174693+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1433","created_at":"2026-05-18T01:09:24.174693+00:00"},{"alias_kind":"pith_short_12","alias_value":"CMNSGCDNARCB","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"CMNSGCDNARCBYJAO","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"CMNSGCDN","created_at":"2026-05-18T12:25:59.703012+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/CMNSGCDNARCBYJAOLOFN3LX5E7","json":"https://pith.science/pith/CMNSGCDNARCBYJAOLOFN3LX5E7.json","graph_json":"https://pith.science/api/pith-number/CMNSGCDNARCBYJAOLOFN3LX5E7/graph.json","events_json":"https://pith.science/api/pith-number/CMNSGCDNARCBYJAOLOFN3LX5E7/events.json","paper":"https://pith.science/paper/CMNSGCDN"},"agent_actions":{"view_html":"https://pith.science/pith/CMNSGCDNARCBYJAOLOFN3LX5E7","download_json":"https://pith.science/pith/CMNSGCDNARCBYJAOLOFN3LX5E7.json","view_paper":"https://pith.science/paper/CMNSGCDN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.1433&json=true","fetch_graph":"https://pith.science/api/pith-number/CMNSGCDNARCBYJAOLOFN3LX5E7/graph.json","fetch_events":"https://pith.science/api/pith-number/CMNSGCDNARCBYJAOLOFN3LX5E7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CMNSGCDNARCBYJAOLOFN3LX5E7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CMNSGCDNARCBYJAOLOFN3LX5E7/action/storage_attestation","attest_author":"https://pith.science/pith/CMNSGCDNARCBYJAOLOFN3LX5E7/action/author_attestation","sign_citation":"https://pith.science/pith/CMNSGCDNARCBYJAOLOFN3LX5E7/action/citation_signature","submit_replication":"https://pith.science/pith/CMNSGCDNARCBYJAOLOFN3LX5E7/action/replication_record"}},"created_at":"2026-05-18T01:09:24.174693+00:00","updated_at":"2026-05-18T01:09:24.174693+00:00"}