{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:GWXGMWS5FCKNAOM5QWB7GTHG4W","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":"8394f8b4785e6d3e631cf379efa3831305058b062e6f26353f0f938330ee7ef1","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2003-07-23T18:55:14Z","title_canon_sha256":"f6c0e1a71bb532b20d2785459879f7d21c82ced84e33564a73975ee5fdd02500"},"schema_version":"1.0","source":{"id":"hep-th/0307231","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0307231","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0307231v2","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0307231","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"GWXGMWS5FCKN","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"GWXGMWS5FCKNAOM5","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"GWXGMWS5","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:559131c5ddc9a86c4937545309024dafcbe2525e40a1b4da18481eff3f9112ef","target":"graph","created_at":"2026-05-18T01:38:46Z","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 extend the formalism of Hamiltonian string bit models of quantum gravity type in two spacetime dimensions to include couplings to particles. We find that the single-particle closed and open universe models respectively behave like empty open and closed universes, and that a system of two distinguishable particles in a closed universe behaves like an empty closed universe. We then construct a metamodel that contains all such models, and find that its transition amplitude is exactly the same as the sl(2) gravity model.","authors_text":"C.-W. H. Lee, R. B. Mann","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-07-23T18:55:14Z","title":"String bit models of two-dimensional quantum gravity coupled with matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0307231","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":"sha256:53257bf089d7c40fe3e7d47eb7d6ee7eeb2555965e9a2a317f63d108a7467772","target":"record","created_at":"2026-05-18T01:38:46Z","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":"8394f8b4785e6d3e631cf379efa3831305058b062e6f26353f0f938330ee7ef1","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2003-07-23T18:55:14Z","title_canon_sha256":"f6c0e1a71bb532b20d2785459879f7d21c82ced84e33564a73975ee5fdd02500"},"schema_version":"1.0","source":{"id":"hep-th/0307231","kind":"arxiv","version":2}},"canonical_sha256":"35ae665a5d2894d0399d8583f34ce6e5a67f71d02422695ddecf6768e7acb013","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35ae665a5d2894d0399d8583f34ce6e5a67f71d02422695ddecf6768e7acb013","first_computed_at":"2026-05-18T01:38:46.859692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:46.859692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KHfOet6MdWsVVz8NDsqmNRCWd0Rka92RfBas4xuxjfq0PRIDXAji0henTNVEG2cGdv447RAKn3YrikIoyM/7DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:46.860149Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0307231","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53257bf089d7c40fe3e7d47eb7d6ee7eeb2555965e9a2a317f63d108a7467772","sha256:559131c5ddc9a86c4937545309024dafcbe2525e40a1b4da18481eff3f9112ef"],"state_sha256":"ba86e16dda9b738a36419dbe8b672c51a96f3c445fdba9a99e1a6dbf30282f02"}