{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:NNNB7LNORBQHFW4OP4I4XXUGQZ","short_pith_number":"pith:NNNB7LNO","canonical_record":{"source":{"id":"hep-th/9303118","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-03-20T20:55:49Z","cross_cats_sorted":[],"title_canon_sha256":"f722420fbe7b903a19c0afb95743835f8b1ac128ded0b73b9b859a8964a7de16","abstract_canon_sha256":"34734647f2737169f3bceb86c6d95af768668ff29e128965f8f7af6053b4b64a"},"schema_version":"1.0"},"canonical_sha256":"6b5a1fadae886072db8e7f11cbde8686585b1ac1130228b3de72dc88fabea711","source":{"kind":"arxiv","id":"hep-th/9303118","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9303118","created_at":"2026-05-18T04:17:35Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9303118v1","created_at":"2026-05-18T04:17:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9303118","created_at":"2026-05-18T04:17:35Z"},{"alias_kind":"pith_short_12","alias_value":"NNNB7LNORBQH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"NNNB7LNORBQHFW4O","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"NNNB7LNO","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:NNNB7LNORBQHFW4OP4I4XXUGQZ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9303118","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-03-20T20:55:49Z","cross_cats_sorted":[],"title_canon_sha256":"f722420fbe7b903a19c0afb95743835f8b1ac128ded0b73b9b859a8964a7de16","abstract_canon_sha256":"34734647f2737169f3bceb86c6d95af768668ff29e128965f8f7af6053b4b64a"},"schema_version":"1.0"},"canonical_sha256":"6b5a1fadae886072db8e7f11cbde8686585b1ac1130228b3de72dc88fabea711","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:35.794193Z","signature_b64":"Tb7QfAYo40s7UTdpASIQ7BGOJZm5UKF8JH4aS9o2JS+5bFLLlX5QwnoNCOzrZjsNaFN6V0UdagxV1Is7sIZwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b5a1fadae886072db8e7f11cbde8686585b1ac1130228b3de72dc88fabea711","last_reissued_at":"2026-05-18T04:17:35.793722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:35.793722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9303118","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:17:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y16xu5ed0XVMOpRmZCQ4UTHh0GqR5/vcvAJ0f/MkLnndVadff+4+c2cfrFQ7p3Evbjq77xRvv8Cz7MRjT2ktCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:45:52.259405Z"},"content_sha256":"6551fe0de1adf7ca7120d6abdcbce2da2a294a2b4dba3273f8a37d68e73d992f","schema_version":"1.0","event_id":"sha256:6551fe0de1adf7ca7120d6abdcbce2da2a294a2b4dba3273f8a37d68e73d992f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:NNNB7LNORBQHFW4OP4I4XXUGQZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fused Potts Models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"H.Saleur, W.M.Koo","submitted_at":"1993-03-20T20:55:49Z","abstract_excerpt":"Generalizing the mapping between the Potts model with nearest neighbor interaction and six vertex model, we build a family of \"fused Potts models\" related to the spin $k/2$ ${\\rm U}_{q}{\\rm su}(2)$ invariant vertex model and quantum spin chain. These Potts model have still variables taking values $1,\\ldots,Q$ ($\\sqrt{Q}=q+q^{-1}$) but they have a set of complicated multi spin interactions. The general technique to compute these interactions, the resulting lattice geometry, symmetries, and the detailed examples of $k=2,3$ are given. For $Q>4$ spontaneous magnetizations are computed on the integ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9303118","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:17:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DID7iVF6YJlpANqfsVPZcO8Au7tduyB1CqHEw0UBdr4QFjcj309S3cMQPEf3/dQnz76SGkwFuWIqyCSoSFJFAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:45:52.260121Z"},"content_sha256":"536b452d679eed532b7db7a255b406d343ba84ce5fb542ce50d7f1eea4e4c18a","schema_version":"1.0","event_id":"sha256:536b452d679eed532b7db7a255b406d343ba84ce5fb542ce50d7f1eea4e4c18a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NNNB7LNORBQHFW4OP4I4XXUGQZ/bundle.json","state_url":"https://pith.science/pith/NNNB7LNORBQHFW4OP4I4XXUGQZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NNNB7LNORBQHFW4OP4I4XXUGQZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-24T05:45:52Z","links":{"resolver":"https://pith.science/pith/NNNB7LNORBQHFW4OP4I4XXUGQZ","bundle":"https://pith.science/pith/NNNB7LNORBQHFW4OP4I4XXUGQZ/bundle.json","state":"https://pith.science/pith/NNNB7LNORBQHFW4OP4I4XXUGQZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NNNB7LNORBQHFW4OP4I4XXUGQZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:NNNB7LNORBQHFW4OP4I4XXUGQZ","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":"34734647f2737169f3bceb86c6d95af768668ff29e128965f8f7af6053b4b64a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-03-20T20:55:49Z","title_canon_sha256":"f722420fbe7b903a19c0afb95743835f8b1ac128ded0b73b9b859a8964a7de16"},"schema_version":"1.0","source":{"id":"hep-th/9303118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9303118","created_at":"2026-05-18T04:17:35Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9303118v1","created_at":"2026-05-18T04:17:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9303118","created_at":"2026-05-18T04:17:35Z"},{"alias_kind":"pith_short_12","alias_value":"NNNB7LNORBQH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"NNNB7LNORBQHFW4O","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"NNNB7LNO","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:536b452d679eed532b7db7a255b406d343ba84ce5fb542ce50d7f1eea4e4c18a","target":"graph","created_at":"2026-05-18T04:17:35Z","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":"Generalizing the mapping between the Potts model with nearest neighbor interaction and six vertex model, we build a family of \"fused Potts models\" related to the spin $k/2$ ${\\rm U}_{q}{\\rm su}(2)$ invariant vertex model and quantum spin chain. These Potts model have still variables taking values $1,\\ldots,Q$ ($\\sqrt{Q}=q+q^{-1}$) but they have a set of complicated multi spin interactions. The general technique to compute these interactions, the resulting lattice geometry, symmetries, and the detailed examples of $k=2,3$ are given. For $Q>4$ spontaneous magnetizations are computed on the integ","authors_text":"H.Saleur, W.M.Koo","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-03-20T20:55:49Z","title":"Fused Potts Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9303118","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":"sha256:6551fe0de1adf7ca7120d6abdcbce2da2a294a2b4dba3273f8a37d68e73d992f","target":"record","created_at":"2026-05-18T04:17:35Z","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":"34734647f2737169f3bceb86c6d95af768668ff29e128965f8f7af6053b4b64a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-03-20T20:55:49Z","title_canon_sha256":"f722420fbe7b903a19c0afb95743835f8b1ac128ded0b73b9b859a8964a7de16"},"schema_version":"1.0","source":{"id":"hep-th/9303118","kind":"arxiv","version":1}},"canonical_sha256":"6b5a1fadae886072db8e7f11cbde8686585b1ac1130228b3de72dc88fabea711","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b5a1fadae886072db8e7f11cbde8686585b1ac1130228b3de72dc88fabea711","first_computed_at":"2026-05-18T04:17:35.793722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:35.793722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tb7QfAYo40s7UTdpASIQ7BGOJZm5UKF8JH4aS9o2JS+5bFLLlX5QwnoNCOzrZjsNaFN6V0UdagxV1Is7sIZwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:35.794193Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9303118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6551fe0de1adf7ca7120d6abdcbce2da2a294a2b4dba3273f8a37d68e73d992f","sha256:536b452d679eed532b7db7a255b406d343ba84ce5fb542ce50d7f1eea4e4c18a"],"state_sha256":"622dd89569be50b6172b39d297574ded6060b82e9a206810ce33da1462e50bff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m9EVJPEG4yJtLsMNU0T2Qe7lAxNxJCus6IjCyUCMR0qqtPGZJT0rkyzUW4bFVDRMNloGsAmoAN+51OQ/H6i7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T05:45:52.263717Z","bundle_sha256":"5b6be21c98cb4753cfa144108eac30e9ef0749d2b20713f94acaa02f2ef11fa3"}}