{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:M5BVXQLC3LN4BMIR5D7ULABHSC","short_pith_number":"pith:M5BVXQLC","canonical_record":{"source":{"id":"0907.5159","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-07-29T15:32:36Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-th"],"title_canon_sha256":"25baa5041ec0d3de95a20c374389a7faf1acada657d477f3538f1ea42a106941","abstract_canon_sha256":"6c395a4b2aece70538678e23b7594a9db9a8cc90aa7684206ec28646da72097d"},"schema_version":"1.0"},"canonical_sha256":"67435bc162dadbc0b111e8ff45802790a480bb43d5a3aee4aa0697630f6819fa","source":{"kind":"arxiv","id":"0907.5159","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.5159","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"arxiv_version","alias_value":"0907.5159v2","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.5159","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"pith_short_12","alias_value":"M5BVXQLC3LN4","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"pith_short_16","alias_value":"M5BVXQLC3LN4BMIR","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"pith_short_8","alias_value":"M5BVXQLC","created_at":"2026-07-04T15:54:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:M5BVXQLC3LN4BMIR5D7ULABHSC","target":"record","payload":{"canonical_record":{"source":{"id":"0907.5159","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-07-29T15:32:36Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-th"],"title_canon_sha256":"25baa5041ec0d3de95a20c374389a7faf1acada657d477f3538f1ea42a106941","abstract_canon_sha256":"6c395a4b2aece70538678e23b7594a9db9a8cc90aa7684206ec28646da72097d"},"schema_version":"1.0"},"canonical_sha256":"67435bc162dadbc0b111e8ff45802790a480bb43d5a3aee4aa0697630f6819fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:54:29.444536Z","signature_b64":"icQYPeJkPCuRYQ06X+0DaiOXuH6fqj7GPv9brSHmViTWkb6HaZNvGbCVPgQabSBF+c8db0tYLoAHqFqJ1RBTBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67435bc162dadbc0b111e8ff45802790a480bb43d5a3aee4aa0697630f6819fa","last_reissued_at":"2026-07-04T15:54:29.444136Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:54:29.444136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.5159","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":"2026-07-04T15:54:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XLnLlZNhzUe8+R5rNoN6uxmr9+DlU5/RjsNl5hZ+W0hCN3+lqsWzPXPKoJrpVBNtm5qiv7NN31kKP6YqwtsKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T21:53:21.836838Z"},"content_sha256":"ba421462f41db7898dfdd55700d6b9e1df2b9e08649409dcccc6a6f7b59153ae","schema_version":"1.0","event_id":"sha256:ba421462f41db7898dfdd55700d6b9e1df2b9e08649409dcccc6a6f7b59153ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:M5BVXQLC3LN4BMIR5D7ULABHSC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$CPT$ Violating Electrodynamics and Chern-Simons Modified Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-th"],"primary_cat":"hep-ph","authors_text":"Mingzhe Li, Xinmin Zhang, Xiulian Wang, Yi-Fu Cai","submitted_at":"2009-07-29T15:32:36Z","abstract_excerpt":"The electrodynamics with a Chern-Simons term $p_{\\mu}A_{\\nu}\\widetilde{F}^{\\mu\\nu}$ violates Lorentz and $CPT$ symmetries with a non-vanishing $p_{\\mu}$. For a fixed vector $p_{\\mu}$, in this paper we point out that the energy-momentum tensor of this theory coupled to the gravity minimally is symmetric but not divergence free, which consequently makes the gravitational field equation inconsistent. To preserve the consistency, we introduce a Chern-Simons term in the gravity sector with the coefficient determined by the Lorentz and $CPT$ violating term in the electromagnetic field. Further we st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.5159","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/0907.5159/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":"2026-07-04T15:54:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LqMdYjYx7ZERPkI7mhfMVZaczaw76m7X6PAl9sXQ3nzeH0oDLeDgpu9ChkVKeMiufEm6Sb0zR1q8MPiQFIKMAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T21:53:21.837376Z"},"content_sha256":"75b230a8dc9b5e8ec6835699cb5201e0ee4e7bb8bcc7fd60a9ebc53d406fd0e1","schema_version":"1.0","event_id":"sha256:75b230a8dc9b5e8ec6835699cb5201e0ee4e7bb8bcc7fd60a9ebc53d406fd0e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M5BVXQLC3LN4BMIR5D7ULABHSC/bundle.json","state_url":"https://pith.science/pith/M5BVXQLC3LN4BMIR5D7ULABHSC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M5BVXQLC3LN4BMIR5D7ULABHSC/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":"2026-08-18T21:53:21Z","links":{"resolver":"https://pith.science/pith/M5BVXQLC3LN4BMIR5D7ULABHSC","bundle":"https://pith.science/pith/M5BVXQLC3LN4BMIR5D7ULABHSC/bundle.json","state":"https://pith.science/pith/M5BVXQLC3LN4BMIR5D7ULABHSC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M5BVXQLC3LN4BMIR5D7ULABHSC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:M5BVXQLC3LN4BMIR5D7ULABHSC","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":"6c395a4b2aece70538678e23b7594a9db9a8cc90aa7684206ec28646da72097d","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-07-29T15:32:36Z","title_canon_sha256":"25baa5041ec0d3de95a20c374389a7faf1acada657d477f3538f1ea42a106941"},"schema_version":"1.0","source":{"id":"0907.5159","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.5159","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"arxiv_version","alias_value":"0907.5159v2","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.5159","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"pith_short_12","alias_value":"M5BVXQLC3LN4","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"pith_short_16","alias_value":"M5BVXQLC3LN4BMIR","created_at":"2026-07-04T15:54:29Z"},{"alias_kind":"pith_short_8","alias_value":"M5BVXQLC","created_at":"2026-07-04T15:54:29Z"}],"graph_snapshots":[{"event_id":"sha256:75b230a8dc9b5e8ec6835699cb5201e0ee4e7bb8bcc7fd60a9ebc53d406fd0e1","target":"graph","created_at":"2026-07-04T15:54:29Z","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/0907.5159/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The electrodynamics with a Chern-Simons term $p_{\\mu}A_{\\nu}\\widetilde{F}^{\\mu\\nu}$ violates Lorentz and $CPT$ symmetries with a non-vanishing $p_{\\mu}$. For a fixed vector $p_{\\mu}$, in this paper we point out that the energy-momentum tensor of this theory coupled to the gravity minimally is symmetric but not divergence free, which consequently makes the gravitational field equation inconsistent. To preserve the consistency, we introduce a Chern-Simons term in the gravity sector with the coefficient determined by the Lorentz and $CPT$ violating term in the electromagnetic field. Further we st","authors_text":"Mingzhe Li, Xinmin Zhang, Xiulian Wang, Yi-Fu Cai","cross_cats":["astro-ph.CO","gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-07-29T15:32:36Z","title":"$CPT$ Violating Electrodynamics and Chern-Simons Modified Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.5159","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:ba421462f41db7898dfdd55700d6b9e1df2b9e08649409dcccc6a6f7b59153ae","target":"record","created_at":"2026-07-04T15:54:29Z","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":"6c395a4b2aece70538678e23b7594a9db9a8cc90aa7684206ec28646da72097d","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-07-29T15:32:36Z","title_canon_sha256":"25baa5041ec0d3de95a20c374389a7faf1acada657d477f3538f1ea42a106941"},"schema_version":"1.0","source":{"id":"0907.5159","kind":"arxiv","version":2}},"canonical_sha256":"67435bc162dadbc0b111e8ff45802790a480bb43d5a3aee4aa0697630f6819fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67435bc162dadbc0b111e8ff45802790a480bb43d5a3aee4aa0697630f6819fa","first_computed_at":"2026-07-04T15:54:29.444136Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:54:29.444136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"icQYPeJkPCuRYQ06X+0DaiOXuH6fqj7GPv9brSHmViTWkb6HaZNvGbCVPgQabSBF+c8db0tYLoAHqFqJ1RBTBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:54:29.444536Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.5159","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba421462f41db7898dfdd55700d6b9e1df2b9e08649409dcccc6a6f7b59153ae","sha256:75b230a8dc9b5e8ec6835699cb5201e0ee4e7bb8bcc7fd60a9ebc53d406fd0e1"],"state_sha256":"e96acba0e681d3e3a8fa1d78c947bf257eccd628fc5504da940e1a2673f87244"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zi8DBPwWGFg0Et5Lrn7TUSavmRquz3oDfJdrO4mX5FEkXHAikC4VoET61b8XnwJOhO9Cp/uxQEykMPV/DaJ4DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T21:53:21.841282Z","bundle_sha256":"7d8adca9b7db07beb319b5c102205540e1bee6293523a46cc60a6e99015b1357"}}