{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:AKPULSCRG4NNCIOLDQW75JJHV2","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":"984bd98bb504a349e01dc40c28a0ddc4a4769bceb66ccaf2dfcf90af7fc1d08f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-11-19T12:26:37Z","title_canon_sha256":"d964a80d0866219e3a9ff0478bf7a3b94bd0f1e78091a7b62d761ed26e6d49a3"},"schema_version":"1.0","source":{"id":"hep-th/0611207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0611207","created_at":"2026-07-04T15:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0611207v2","created_at":"2026-07-04T15:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0611207","created_at":"2026-07-04T15:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"AKPULSCRG4NN","created_at":"2026-07-04T15:25:18Z"},{"alias_kind":"pith_short_16","alias_value":"AKPULSCRG4NNCIOL","created_at":"2026-07-04T15:25:18Z"},{"alias_kind":"pith_short_8","alias_value":"AKPULSCR","created_at":"2026-07-04T15:25:18Z"}],"graph_snapshots":[{"event_id":"sha256:c952cfde36e7a5b96a4bc5438f0abe1a7c4746a2e807c86b94b076b89455a4f0","target":"graph","created_at":"2026-07-04T15:25:18Z","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/hep-th/0611207/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the two-dimensional generalized Weingarten model reduced to a point, which interpolates reduced Weingarten model and the large-N gauge theory. We calculate the expectation value of the Wilson loop using Monte-Carlo method and determine the string tension and string susceptibility. The numerical result suggests that the string susceptibility approaches to -2 in a certain parametric region, which implies that the branched-polymer configurations are suppressed.","authors_text":"Fukuichiro Kubo, Masanori Hanada","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-11-19T12:26:37Z","title":"String tension and string susceptibility in two-dimensional generalized Weingarten model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0611207","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":"sha256:5b4580399877d3ae3840ac1a6709a114726156b59d4b1bb2fb0e5f8ac8cc380f","target":"record","created_at":"2026-07-04T15:25:18Z","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":"984bd98bb504a349e01dc40c28a0ddc4a4769bceb66ccaf2dfcf90af7fc1d08f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-11-19T12:26:37Z","title_canon_sha256":"d964a80d0866219e3a9ff0478bf7a3b94bd0f1e78091a7b62d761ed26e6d49a3"},"schema_version":"1.0","source":{"id":"hep-th/0611207","kind":"arxiv","version":2}},"canonical_sha256":"029f45c851371ad121cb1c2dfea527ae99c2e70f3be34e2733091ae7698f2ac1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"029f45c851371ad121cb1c2dfea527ae99c2e70f3be34e2733091ae7698f2ac1","first_computed_at":"2026-07-04T15:25:18.073864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:25:18.073864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hs0pHAGEd8os0SbhflmqY3y/92eeQVLc6cx+AiK2D9b/XwKfnoF0dPjOjCZvUxeHqO5zkEImNDcpfsV5UKHFDw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:25:18.074290Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0611207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b4580399877d3ae3840ac1a6709a114726156b59d4b1bb2fb0e5f8ac8cc380f","sha256:c952cfde36e7a5b96a4bc5438f0abe1a7c4746a2e807c86b94b076b89455a4f0"],"state_sha256":"95c38a6d0f6c7d86f6f595c046e078bae701cb1ec517c00d03d95539c21739fb"}