{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:VYEQVOKP6IWWKUM3DCJUYJTKTM","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":"2af661b3a4b0cc7feb31b8015ac667a1e97a776db325d8ddbc0b99b010240f44","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-05-04T19:04:47Z","title_canon_sha256":"45586ee4232347ac9f00737f24f77ec363779caa15baf602883792f955834880"},"schema_version":"1.0","source":{"id":"hep-th/9405022","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9405022","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9405022v1","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9405022","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"pith_short_12","alias_value":"VYEQVOKP6IWW","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"VYEQVOKP6IWWKUM3","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"VYEQVOKP","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:96af4df3d984404bbbba68b7a40a7f109469d5a5cafe7659c018ed14304dca64","target":"graph","created_at":"2026-05-18T00:51:37Z","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":"Using the differential calculus on discrete group, we study the general relativity in the space-time which is the product of a four dimensional manifold by a two-point space. We generalize the usual concept of frame and connection in our space-time, and from the generalized torsion free condition we obtain an action of a scalar field coupled to Einstein gravity, which may be related to the Jordan-Brans-Dicke theory.","authors_text":"Bin Chen, Ke Wu, Takesi Saito","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-05-04T19:04:47Z","title":"Gravity and Discrete Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9405022","kind":"arxiv","version":1},"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":"sha256:3d76b739da6363c3ef8ad316748e1416ad7d094f67f603d37b98739fe372c986","target":"record","created_at":"2026-05-18T00:51:37Z","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":"2af661b3a4b0cc7feb31b8015ac667a1e97a776db325d8ddbc0b99b010240f44","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-05-04T19:04:47Z","title_canon_sha256":"45586ee4232347ac9f00737f24f77ec363779caa15baf602883792f955834880"},"schema_version":"1.0","source":{"id":"hep-th/9405022","kind":"arxiv","version":1}},"canonical_sha256":"ae090ab94ff22d65519b18934c266a9b0b3b0a57730c8d7c9375e0cc9e0807d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae090ab94ff22d65519b18934c266a9b0b3b0a57730c8d7c9375e0cc9e0807d3","first_computed_at":"2026-05-18T00:51:37.915702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:37.915702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ckpaRSPlOwc1GhaXhCMKc1UuRR2Sm5mbXbw/sY3nRhWeOA7gTl4M5dAIN3Hl67Tz15j4ETObNFY5+jmdYkEICA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:37.916083Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9405022","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d76b739da6363c3ef8ad316748e1416ad7d094f67f603d37b98739fe372c986","sha256:96af4df3d984404bbbba68b7a40a7f109469d5a5cafe7659c018ed14304dca64"],"state_sha256":"a3217370f4598375e79f629c5e252ed68337ec91ed1176fd8686ec2f90c5cb61"}