{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QPBLA6OPMBWBBDMPULQF4FG5UB","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":"039bf652befd0f40ffbc67e178bc5e30ff460f7f89d8cc77fed28e08ce725adc","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-16T06:14:49Z","title_canon_sha256":"b0d3717cbc9ad39595e8efb2baf1e563b7868e86dc223bb005a565232218ed51"},"schema_version":"1.0","source":{"id":"2405.09833","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.09833","created_at":"2026-07-05T08:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"2405.09833v2","created_at":"2026-07-05T08:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.09833","created_at":"2026-07-05T08:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"QPBLA6OPMBWB","created_at":"2026-07-05T08:20:54Z"},{"alias_kind":"pith_short_16","alias_value":"QPBLA6OPMBWBBDMP","created_at":"2026-07-05T08:20:54Z"},{"alias_kind":"pith_short_8","alias_value":"QPBLA6OP","created_at":"2026-07-05T08:20:54Z"}],"graph_snapshots":[{"event_id":"sha256:c6c5f4c5b017955a561db4f59e1e659582974ec3b01d75f2183329255bf98ed0","target":"graph","created_at":"2026-07-05T08:20:54Z","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/2405.09833/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit pure quantum cosmology in three dimensions. The Wheeler-DeWitt equation can be solved perturbatively and the dynamics reduces to a particle on moduli space. Its time evolution is equivalent to the $T\\overline{T}$ deformation. Focusing on spacetimes with torus slices, we show that inflationary cosmologies correspond to particle trajectories in Artin's billiard. The resulting automorphic dynamics is developed both from a first and second quantized perspectives. Our main application is to give an interpretation for the Hartle-Hawking state which is here the analytic continuation of the","authors_text":"Victor Godet","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-16T06:14:49Z","title":"Quantum cosmology as automorphic dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.09833","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:f959d0cd150a42ab540c00d4b5432a403e2c200c4477e84e6212b3db2bfe61ed","target":"record","created_at":"2026-07-05T08:20:54Z","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":"039bf652befd0f40ffbc67e178bc5e30ff460f7f89d8cc77fed28e08ce725adc","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-16T06:14:49Z","title_canon_sha256":"b0d3717cbc9ad39595e8efb2baf1e563b7868e86dc223bb005a565232218ed51"},"schema_version":"1.0","source":{"id":"2405.09833","kind":"arxiv","version":2}},"canonical_sha256":"83c2b079cf606c108d8fa2e05e14dda06b7ebc211744c5afb7fd6638b5c59bf4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83c2b079cf606c108d8fa2e05e14dda06b7ebc211744c5afb7fd6638b5c59bf4","first_computed_at":"2026-07-05T08:20:54.802768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:20:54.802768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HMdHZkCv/pTYUT1DLy74Pzpc5AFwfJ9p1E97H+RjSb4sPrbnGlg6RjWKfYFo1tDn4uDEZVInlrTmiR2vFOgfDg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:20:54.803221Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.09833","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f959d0cd150a42ab540c00d4b5432a403e2c200c4477e84e6212b3db2bfe61ed","sha256:c6c5f4c5b017955a561db4f59e1e659582974ec3b01d75f2183329255bf98ed0"],"state_sha256":"916e5351c86c3535869ca0e1a0c2838839f3f456477bdb16df6af2aadcf6ee1f"}