{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:ANX3ZJVFQZD3BSCWEUMSHHYUXZ","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":"641d9518b89ad0b6217c2d43dcd2bdad6207e643244583890f8097e04da51112","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-07-20T14:58:49Z","title_canon_sha256":"5a1b81091f570a179a6a09345f28880cbb29630848748d039bfa292ac1de78fd"},"schema_version":"1.0","source":{"id":"hep-th/9207064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9207064","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9207064v1","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9207064","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"ANX3ZJVFQZD3","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"ANX3ZJVFQZD3BSCW","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"ANX3ZJVF","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:217f9d536ad4c4e4e7aa2efbc679b70b83efc3e4ac52b501aa95ec0b65e4a631","target":"graph","created_at":"2026-05-18T01:38:43Z","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 argue that the torus partition sum in $2d$ (super) gravity, which counts physical states in the theory, is a decreasing function of the renormalization group scale. As an application we chart the space of $(\\hat c\\leq1)$ $c\\leq1$ models coupled to (super) gravity, confirming and extending ideas due to A. Zamolodchikov, and discuss briefly string theory, where our results imply that the number of degrees of freedom decreases with time.","authors_text":"David Kutasov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-07-20T14:58:49Z","title":"Irreversibility of the Renormalization Group Flow in Two Dimensional Quantum Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9207064","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:d6b3839f74f1f2b62e56b1a17e0586c3eb69e9f0e170a7708d85fce13b737d3a","target":"record","created_at":"2026-05-18T01:38:43Z","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":"641d9518b89ad0b6217c2d43dcd2bdad6207e643244583890f8097e04da51112","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-07-20T14:58:49Z","title_canon_sha256":"5a1b81091f570a179a6a09345f28880cbb29630848748d039bfa292ac1de78fd"},"schema_version":"1.0","source":{"id":"hep-th/9207064","kind":"arxiv","version":1}},"canonical_sha256":"036fbca6a58647b0c8562519239f14be525ad2d3202e04c018f2a36e8d0ba082","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"036fbca6a58647b0c8562519239f14be525ad2d3202e04c018f2a36e8d0ba082","first_computed_at":"2026-05-18T01:38:43.360456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:43.360456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xbmWmHEcPLLZhNZmd6U8JKoWnpu4P4EstiK9lFMbeMytXsESMWgcgXVMfxQHQFrgQvSVIBH624J9W4t2yQJfDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:43.360808Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9207064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6b3839f74f1f2b62e56b1a17e0586c3eb69e9f0e170a7708d85fce13b737d3a","sha256:217f9d536ad4c4e4e7aa2efbc679b70b83efc3e4ac52b501aa95ec0b65e4a631"],"state_sha256":"6ff99d917f321f272cb8e6a3ba75201264c2b799d7d864b31a04f1d8606d81c2"}