{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:E2YG2KFZUL6GJEWKNGUYUSEIVQ","short_pith_number":"pith:E2YG2KFZ","canonical_record":{"source":{"id":"gr-qc/9805007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-05-04T20:28:53Z","cross_cats_sorted":[],"title_canon_sha256":"920aabf710f5c1bed1576bf99f0a98866732771c22b9b542498e3884bc561e68","abstract_canon_sha256":"011362370f5c8dd73aaaf34263816d1b243a1182a1b1d783c8ca1ba98ff7928d"},"schema_version":"1.0"},"canonical_sha256":"26b06d28b9a2fc6492ca69a98a4888ac39a3057a1ef92366387d65b03f1d95bc","source":{"kind":"arxiv","id":"gr-qc/9805007","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9805007","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9805007v1","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9805007","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"E2YG2KFZUL6G","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"pith_short_16","alias_value":"E2YG2KFZUL6GJEWK","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"pith_short_8","alias_value":"E2YG2KFZ","created_at":"2026-07-04T14:26:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:E2YG2KFZUL6GJEWKNGUYUSEIVQ","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9805007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-05-04T20:28:53Z","cross_cats_sorted":[],"title_canon_sha256":"920aabf710f5c1bed1576bf99f0a98866732771c22b9b542498e3884bc561e68","abstract_canon_sha256":"011362370f5c8dd73aaaf34263816d1b243a1182a1b1d783c8ca1ba98ff7928d"},"schema_version":"1.0"},"canonical_sha256":"26b06d28b9a2fc6492ca69a98a4888ac39a3057a1ef92366387d65b03f1d95bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:26:11.604328Z","signature_b64":"mjzb3xMQx9H8ZsH2fwMjHeVlnubFb6qV4LQgVysCttYL3PGjEIm2kSF6136C7yYym22OhLxR7JKmwkM9W1l7DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26b06d28b9a2fc6492ca69a98a4888ac39a3057a1ef92366387d65b03f1d95bc","last_reissued_at":"2026-07-04T14:26:11.603951Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:26:11.603951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9805007","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aOll8W6c+ByM4JescvqPf6X0RhIlaZAY4ueIgwcboytOxsCgTQ9Xqt3j+iOpRAfG5ciNSGWBA/+5fSrLy959BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T23:11:37.213673Z"},"content_sha256":"ac77b45fed67128d1f3c091357c0c8269235269a513d939591368abd6dbacf23","schema_version":"1.0","event_id":"sha256:ac77b45fed67128d1f3c091357c0c8269235269a513d939591368abd6dbacf23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:E2YG2KFZUL6GJEWKNGUYUSEIVQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isotropic cosmology in metric-affine gauge theory of gravity","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A.S. Garkun, A.V. Minkevich","submitted_at":"1998-05-04T20:28:53Z","abstract_excerpt":"Geometrical structure of homogeneous isotropic models in the frame of the metric-affine gauge theory of gravity (MAGT) is analyzed. By using general form of gravitational Lagrangian including both a scalar curvature and various invariants quadratic in the curvature, torsion and nonmetricity tensors, gravitational equations of MAGT for homogeneous isotropic models are deduced. It is shown, that obtained gravitational equations lead to generalized cosmological Friedmann equation for the metrics by certain restrictions on indefinite parameters of gravitational Lagrangian. Isotropic models in the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9805007","kind":"arxiv","version":1},"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/gr-qc/9805007/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":"2026-07-04T14:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+seiyR5J6gw13kmcPOJuISHDTCExDCdlvpsjvRwHQs00m8R2stAvQq4huGszazrS7T2YT3f3HbDvpEOAzsdSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T23:11:37.214148Z"},"content_sha256":"d183932c0df370b9d90b44805c7bbc55eb9321f7c6da616be7866abfec8138a6","schema_version":"1.0","event_id":"sha256:d183932c0df370b9d90b44805c7bbc55eb9321f7c6da616be7866abfec8138a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E2YG2KFZUL6GJEWKNGUYUSEIVQ/bundle.json","state_url":"https://pith.science/pith/E2YG2KFZUL6GJEWKNGUYUSEIVQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E2YG2KFZUL6GJEWKNGUYUSEIVQ/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":"2026-08-18T23:11:37Z","links":{"resolver":"https://pith.science/pith/E2YG2KFZUL6GJEWKNGUYUSEIVQ","bundle":"https://pith.science/pith/E2YG2KFZUL6GJEWKNGUYUSEIVQ/bundle.json","state":"https://pith.science/pith/E2YG2KFZUL6GJEWKNGUYUSEIVQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E2YG2KFZUL6GJEWKNGUYUSEIVQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:E2YG2KFZUL6GJEWKNGUYUSEIVQ","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":"011362370f5c8dd73aaaf34263816d1b243a1182a1b1d783c8ca1ba98ff7928d","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-05-04T20:28:53Z","title_canon_sha256":"920aabf710f5c1bed1576bf99f0a98866732771c22b9b542498e3884bc561e68"},"schema_version":"1.0","source":{"id":"gr-qc/9805007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9805007","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9805007v1","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9805007","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"E2YG2KFZUL6G","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"pith_short_16","alias_value":"E2YG2KFZUL6GJEWK","created_at":"2026-07-04T14:26:11Z"},{"alias_kind":"pith_short_8","alias_value":"E2YG2KFZ","created_at":"2026-07-04T14:26:11Z"}],"graph_snapshots":[{"event_id":"sha256:d183932c0df370b9d90b44805c7bbc55eb9321f7c6da616be7866abfec8138a6","target":"graph","created_at":"2026-07-04T14:26:11Z","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/gr-qc/9805007/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Geometrical structure of homogeneous isotropic models in the frame of the metric-affine gauge theory of gravity (MAGT) is analyzed. By using general form of gravitational Lagrangian including both a scalar curvature and various invariants quadratic in the curvature, torsion and nonmetricity tensors, gravitational equations of MAGT for homogeneous isotropic models are deduced. It is shown, that obtained gravitational equations lead to generalized cosmological Friedmann equation for the metrics by certain restrictions on indefinite parameters of gravitational Lagrangian. Isotropic models in the ","authors_text":"A.S. Garkun, A.V. Minkevich","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-05-04T20:28:53Z","title":"Isotropic cosmology in metric-affine gauge theory of gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9805007","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:ac77b45fed67128d1f3c091357c0c8269235269a513d939591368abd6dbacf23","target":"record","created_at":"2026-07-04T14:26:11Z","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":"011362370f5c8dd73aaaf34263816d1b243a1182a1b1d783c8ca1ba98ff7928d","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-05-04T20:28:53Z","title_canon_sha256":"920aabf710f5c1bed1576bf99f0a98866732771c22b9b542498e3884bc561e68"},"schema_version":"1.0","source":{"id":"gr-qc/9805007","kind":"arxiv","version":1}},"canonical_sha256":"26b06d28b9a2fc6492ca69a98a4888ac39a3057a1ef92366387d65b03f1d95bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26b06d28b9a2fc6492ca69a98a4888ac39a3057a1ef92366387d65b03f1d95bc","first_computed_at":"2026-07-04T14:26:11.603951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:26:11.603951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mjzb3xMQx9H8ZsH2fwMjHeVlnubFb6qV4LQgVysCttYL3PGjEIm2kSF6136C7yYym22OhLxR7JKmwkM9W1l7DQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:26:11.604328Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9805007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac77b45fed67128d1f3c091357c0c8269235269a513d939591368abd6dbacf23","sha256:d183932c0df370b9d90b44805c7bbc55eb9321f7c6da616be7866abfec8138a6"],"state_sha256":"26b08a76f290a1fc1b92ff2338bfd76a78ccc7202df45022e4ebecc76e29c424"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JDSAlNqOMiy0XHC6/7DdtE/pHWXE3PxzCvUpLH7huWfskJ1O6tDLe3bDZ6nVFKaJ9KnMjPb9UKNvDhP7f9s7Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T23:11:37.217575Z","bundle_sha256":"f96171abc409e1267efc572cb8c5bd50c8693f189ece4613e7ce7a515a118a99"}}