{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RKZZP7APLX77OL5FUASG5RVAXN","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":"f804b486251295fc7fc8f1edc7fe4b93eaf7ee1710bf9acc32ce18465a2ff0c0","cross_cats_sorted":["astro-ph.CO","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-28T04:34:59Z","title_canon_sha256":"5e59c5c10de858df97fa66be4d086225f469ef4ad0bfbc0a1e5620e8966093ad"},"schema_version":"1.0","source":{"id":"1111.6342","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6342","created_at":"2026-05-18T03:23:12Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6342v3","created_at":"2026-05-18T03:23:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6342","created_at":"2026-05-18T03:23:12Z"},{"alias_kind":"pith_short_12","alias_value":"RKZZP7APLX77","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RKZZP7APLX77OL5F","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RKZZP7AP","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:d7a29b54e8a2c60e6cf6a0db0f5b8cb863cc94c4fb0b3ddac1a8a7a784a7aa65","target":"graph","created_at":"2026-05-18T03:23:12Z","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 introduce the generalized Lorentz gauge condition in the theory of quantum electrodynamics into the general vector-tensor theories of gravity. Then we explore the cosmic evolution and the static, spherically symmetric solution of the four dimensional vector field with the generalized Lorenz gauge. We find that, if the vector field is minimally coupled to the gravitation, it behaves as the cosmological constant. On the other hand, if it is nonminimally coupled to the gravitation, the vector field could behave as vast matters in the background of spatially flat Friedmann-Robertson-Walker Univ","authors_text":"Changjun Gao","cross_cats":["astro-ph.CO","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-28T04:34:59Z","title":"Introduction of the generalized Lorenz gauge condition into the vector-tensor theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6342","kind":"arxiv","version":3},"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:ba8520df25b1df9ced34303053e6e8fa8b053cac245da6e717ccb55cc4f91ade","target":"record","created_at":"2026-05-18T03:23:12Z","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":"f804b486251295fc7fc8f1edc7fe4b93eaf7ee1710bf9acc32ce18465a2ff0c0","cross_cats_sorted":["astro-ph.CO","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-28T04:34:59Z","title_canon_sha256":"5e59c5c10de858df97fa66be4d086225f469ef4ad0bfbc0a1e5620e8966093ad"},"schema_version":"1.0","source":{"id":"1111.6342","kind":"arxiv","version":3}},"canonical_sha256":"8ab397fc0f5dfff72fa5a0246ec6a0bb4734fde012b54bbca7529f20b619d268","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ab397fc0f5dfff72fa5a0246ec6a0bb4734fde012b54bbca7529f20b619d268","first_computed_at":"2026-05-18T03:23:12.303569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:12.303569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zqUnIZozBQtPaKCmPlZPiBfseKnginihVf2t+GfUQcJJh9kZlQL3s4t8dOZ3Pw1e3/L7tfo7X2rGwZuABwRcAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:12.304246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6342","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba8520df25b1df9ced34303053e6e8fa8b053cac245da6e717ccb55cc4f91ade","sha256:d7a29b54e8a2c60e6cf6a0db0f5b8cb863cc94c4fb0b3ddac1a8a7a784a7aa65"],"state_sha256":"867b52e60e74bf0f615385afc85dccd94caa13ab13063c1a55df3af1a46a03af"}