{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DXOJXZORTYOW2O3EM3RI3B24FJ","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":"48b8e88c83be347c950140666ae025dcb582d7698446fc25b745c46b4d8d393c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-10-14T01:11:44Z","title_canon_sha256":"2185d3d15099c5f130e77e12439c9b3528554be13dd2a3c020f06172848cb0dd"},"schema_version":"1.0","source":{"id":"1010.2799","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2799","created_at":"2026-05-18T01:19:00Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2799v3","created_at":"2026-05-18T01:19:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2799","created_at":"2026-05-18T01:19:00Z"},{"alias_kind":"pith_short_12","alias_value":"DXOJXZORTYOW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DXOJXZORTYOW2O3E","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DXOJXZOR","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:c6e83f8a88c7a93ead347362c3da2d0c3c9113f1f8fd797b17fc125f70c5cafd","target":"graph","created_at":"2026-05-18T01:19:00Z","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":"Assuming an effective gravitational action with scale dependent coupling constants, a consistency condition for the local form of the cut-off scale is derived. The approach is applied to homogeneous cosmology and running couplings with an ultraviolet fixed point. Within the given approach this allows to derive bounds on the value of the fixed point.","authors_text":"Benjamin Koch, Israel Ramirez","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-10-14T01:11:44Z","title":"Exact renormalization group with optimal scale and its application to cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2799","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":"sha256:059e5629b1f0a30c984e6d594f7378162e3166e3b6f6b4863dc2239d5e4b0359","target":"record","created_at":"2026-05-18T01:19:00Z","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":"48b8e88c83be347c950140666ae025dcb582d7698446fc25b745c46b4d8d393c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-10-14T01:11:44Z","title_canon_sha256":"2185d3d15099c5f130e77e12439c9b3528554be13dd2a3c020f06172848cb0dd"},"schema_version":"1.0","source":{"id":"1010.2799","kind":"arxiv","version":3}},"canonical_sha256":"1ddc9be5d19e1d6d3b6466e28d875c2a4227f1bf3c38a93c004b4490d5546918","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ddc9be5d19e1d6d3b6466e28d875c2a4227f1bf3c38a93c004b4490d5546918","first_computed_at":"2026-05-18T01:19:00.736712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:00.736712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GgSjgagEomNkrlSM6uQZxjXh6PT/V6dsvA/YTzD4VR4GqTbBVv1Cn7AmFuI2ocRTXXb3CXTcKi1wzDEWFXXBAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:00.737076Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2799","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:059e5629b1f0a30c984e6d594f7378162e3166e3b6f6b4863dc2239d5e4b0359","sha256:c6e83f8a88c7a93ead347362c3da2d0c3c9113f1f8fd797b17fc125f70c5cafd"],"state_sha256":"9f4e242dd7cae2736943900479bad993bbfc7bd5d966ad3fa0194d66e8ee8408"}