{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YRZJGVCMDD5XGTYSS7YLH7L6CT","short_pith_number":"pith:YRZJGVCM","canonical_record":{"source":{"id":"1511.05216","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-16T23:25:07Z","cross_cats_sorted":[],"title_canon_sha256":"b01958a89facd5c92946a6e066f0e052099f5c0caa562675be327cc3bd00f27f","abstract_canon_sha256":"c15c1ab8727d760bd96a86b677c08ccc74473ee876caa4ccefb964db1f477fdf"},"schema_version":"1.0"},"canonical_sha256":"c47293544c18fb734f1297f0b3fd7e14fabdc4bd7294fb6bfb7f6b118af8c231","source":{"kind":"arxiv","id":"1511.05216","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05216","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05216v2","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05216","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"pith_short_12","alias_value":"YRZJGVCMDD5X","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YRZJGVCMDD5XGTYS","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YRZJGVCM","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YRZJGVCMDD5XGTYSS7YLH7L6CT","target":"record","payload":{"canonical_record":{"source":{"id":"1511.05216","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-16T23:25:07Z","cross_cats_sorted":[],"title_canon_sha256":"b01958a89facd5c92946a6e066f0e052099f5c0caa562675be327cc3bd00f27f","abstract_canon_sha256":"c15c1ab8727d760bd96a86b677c08ccc74473ee876caa4ccefb964db1f477fdf"},"schema_version":"1.0"},"canonical_sha256":"c47293544c18fb734f1297f0b3fd7e14fabdc4bd7294fb6bfb7f6b118af8c231","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:07.881498Z","signature_b64":"E5jaxvjnnyT6QGCgFBGOnzmg+DBdw/M+rAYR24dc8jrkZ8xbP5n/uHH8mugnsIkZ+Z1u0djZ2WZU+ez0BQLnDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c47293544c18fb734f1297f0b3fd7e14fabdc4bd7294fb6bfb7f6b118af8c231","last_reissued_at":"2026-05-18T01:23:07.880813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:07.880813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.05216","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":"2026-05-18T01:23:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZuLbv1GWh93IOA19Fmq6PxMA4jGm23F6tfD8Wp4ncSLwIUZcVeTne0tR2Om/W7AcQ0hBSDZb8JfvGdWl3JAvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:34:29.578629Z"},"content_sha256":"e2f24c025c2dc585c4f20a810ba5e37b51aa1716d4cfa8a182e964129fd63eb7","schema_version":"1.0","event_id":"sha256:e2f24c025c2dc585c4f20a810ba5e37b51aa1716d4cfa8a182e964129fd63eb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YRZJGVCMDD5XGTYSS7YLH7L6CT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General Relativity for N Properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Paul D Stack, Robert Delbourgo","submitted_at":"2015-11-16T23:25:07Z","abstract_excerpt":"We determine the coefficients of the terms multiplying the gauge fields, gravitational field and cosmological term in a scheme whereby properties are characterized by $N$ anticommuting scalar Grassmann variables. We do this for general $N$, using analytical methods; this obviates the need for our algebraic computing package which can become quite unwieldy as $N$ is increased."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05216","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":"2026-05-18T01:23:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aiawT2iV2XrtquigeZ/VWm4lA6tRJF2gPKr3CLgsc5Qx6e0hohNDEwi3sXGz3Oc+Xke6r6pQeLFHukpoSULfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:34:29.578974Z"},"content_sha256":"7916a66f3a762addc9a9474d2f3496414588537beb50e2f1f740e3a11b6e595f","schema_version":"1.0","event_id":"sha256:7916a66f3a762addc9a9474d2f3496414588537beb50e2f1f740e3a11b6e595f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YRZJGVCMDD5XGTYSS7YLH7L6CT/bundle.json","state_url":"https://pith.science/pith/YRZJGVCMDD5XGTYSS7YLH7L6CT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YRZJGVCMDD5XGTYSS7YLH7L6CT/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":"2026-06-24T22:34:29Z","links":{"resolver":"https://pith.science/pith/YRZJGVCMDD5XGTYSS7YLH7L6CT","bundle":"https://pith.science/pith/YRZJGVCMDD5XGTYSS7YLH7L6CT/bundle.json","state":"https://pith.science/pith/YRZJGVCMDD5XGTYSS7YLH7L6CT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YRZJGVCMDD5XGTYSS7YLH7L6CT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YRZJGVCMDD5XGTYSS7YLH7L6CT","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":"c15c1ab8727d760bd96a86b677c08ccc74473ee876caa4ccefb964db1f477fdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-16T23:25:07Z","title_canon_sha256":"b01958a89facd5c92946a6e066f0e052099f5c0caa562675be327cc3bd00f27f"},"schema_version":"1.0","source":{"id":"1511.05216","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05216","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05216v2","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05216","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"pith_short_12","alias_value":"YRZJGVCMDD5X","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YRZJGVCMDD5XGTYS","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YRZJGVCM","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:7916a66f3a762addc9a9474d2f3496414588537beb50e2f1f740e3a11b6e595f","target":"graph","created_at":"2026-05-18T01:23:07Z","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 determine the coefficients of the terms multiplying the gauge fields, gravitational field and cosmological term in a scheme whereby properties are characterized by $N$ anticommuting scalar Grassmann variables. We do this for general $N$, using analytical methods; this obviates the need for our algebraic computing package which can become quite unwieldy as $N$ is increased.","authors_text":"Paul D Stack, Robert Delbourgo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-16T23:25:07Z","title":"General Relativity for N Properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05216","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:e2f24c025c2dc585c4f20a810ba5e37b51aa1716d4cfa8a182e964129fd63eb7","target":"record","created_at":"2026-05-18T01:23:07Z","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":"c15c1ab8727d760bd96a86b677c08ccc74473ee876caa4ccefb964db1f477fdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-16T23:25:07Z","title_canon_sha256":"b01958a89facd5c92946a6e066f0e052099f5c0caa562675be327cc3bd00f27f"},"schema_version":"1.0","source":{"id":"1511.05216","kind":"arxiv","version":2}},"canonical_sha256":"c47293544c18fb734f1297f0b3fd7e14fabdc4bd7294fb6bfb7f6b118af8c231","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c47293544c18fb734f1297f0b3fd7e14fabdc4bd7294fb6bfb7f6b118af8c231","first_computed_at":"2026-05-18T01:23:07.880813Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:07.880813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E5jaxvjnnyT6QGCgFBGOnzmg+DBdw/M+rAYR24dc8jrkZ8xbP5n/uHH8mugnsIkZ+Z1u0djZ2WZU+ez0BQLnDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:07.881498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.05216","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2f24c025c2dc585c4f20a810ba5e37b51aa1716d4cfa8a182e964129fd63eb7","sha256:7916a66f3a762addc9a9474d2f3496414588537beb50e2f1f740e3a11b6e595f"],"state_sha256":"2721d101c3c92769ba4b898c429f2ff3b7f5f30840c5813b103181374d877b36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zspTT9WhD2bJX7ocsl3mx369aGQouUqsi/nt+1T02AZ6n+AwxqBntMiSXJL3PKcLcAJM93/CJU6eXOna2snEBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:34:29.580890Z","bundle_sha256":"fcfe2ebb3fa865eaedd1c8ba9f832de36b69dffe862bf3980c6e44c8b18ad03a"}}