{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:I3XMACBK5XTFANI24AUDYPNTWE","short_pith_number":"pith:I3XMACBK","canonical_record":{"source":{"id":"0907.0362","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-02T12:34:00Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"69965c9b32ab645c45b6afb6eb96b84c5578a3cea63ac13c93e0480ae020fa55","abstract_canon_sha256":"a48f5bbabf2894c23faa04f4f6c455b0eef798c1c16a092b710ac526be84e31b"},"schema_version":"1.0"},"canonical_sha256":"46eec0082aede650351ae0283c3db3b1046a74318fd705820fbce8bfadb8e728","source":{"kind":"arxiv","id":"0907.0362","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.0362","created_at":"2026-05-18T02:13:11Z"},{"alias_kind":"arxiv_version","alias_value":"0907.0362v3","created_at":"2026-05-18T02:13:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.0362","created_at":"2026-05-18T02:13:11Z"},{"alias_kind":"pith_short_12","alias_value":"I3XMACBK5XTF","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"I3XMACBK5XTFANI2","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"I3XMACBK","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:I3XMACBK5XTFANI24AUDYPNTWE","target":"record","payload":{"canonical_record":{"source":{"id":"0907.0362","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-02T12:34:00Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"69965c9b32ab645c45b6afb6eb96b84c5578a3cea63ac13c93e0480ae020fa55","abstract_canon_sha256":"a48f5bbabf2894c23faa04f4f6c455b0eef798c1c16a092b710ac526be84e31b"},"schema_version":"1.0"},"canonical_sha256":"46eec0082aede650351ae0283c3db3b1046a74318fd705820fbce8bfadb8e728","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:11.201788Z","signature_b64":"o2RtctKqD5Sj9DbroNLXVF9Hh6XDdLhwzOcrtI9Wg2WvpeRlxqmakTYWq6LsltUoVxL+cpS0vzXPeTCsmZrgCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46eec0082aede650351ae0283c3db3b1046a74318fd705820fbce8bfadb8e728","last_reissued_at":"2026-05-18T02:13:11.201429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:11.201429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.0362","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:13:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LdqVo2VfHs4mef9JqjvQeDFcANBH5xA7SoVFsepfJpjhwYAYkTOE57VGnh9UZn/K4YvdpVEcTb0eMGUlEBtUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:38:38.289211Z"},"content_sha256":"068fb0af498ec2dc1176478548bf6746d8259fc633685ca5d81c80b9e401f854","schema_version":"1.0","event_id":"sha256:068fb0af498ec2dc1176478548bf6746d8259fc633685ca5d81c80b9e401f854"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:I3XMACBK5XTFANI24AUDYPNTWE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Loop Subalgebra and Eigenvectors of the Superintegrable Chiral Potts Transfer Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Australian National University), Helen Au-Yang, Jacques H. H. Perk (Oklahoma State University","submitted_at":"2009-07-02T12:34:00Z","abstract_excerpt":"It has been shown in earlier works that for Q=0 and L a multiple of N, the ground state sector eigenspace of the superintegrable tau_2(t_q) model is highly degenerate and is generated by a quantum loop algebra L(sl_2). Furthermore, this loop algebra can be decomposed into r=(N-1)L/N simple sl_2 algebras. For Q not equal 0, we shall show here that the corresponding eigenspace of tau_2(t_q) is still highly degenerate, but splits into two spaces, each containing 2^{r-1} independent eigenvectors. The generators for the sl_2 subalgebras, and also for the quantum loop subalgebra, are given generaliz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.0362","kind":"arxiv","version":3},"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":"2026-05-18T02:13:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SfdXSlsCBwL1Y+K6ZObcErFTc0oGI/cNaCY0mtEocTo/KUqc3DPHN++4Ycp7b7SAQM0dxx0Wh+PxbWlvIARMCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:38:38.289581Z"},"content_sha256":"c66ab7cac46446cbd3446c3966e22ac5e25755834cb6b9086b4e8d4198ee317c","schema_version":"1.0","event_id":"sha256:c66ab7cac46446cbd3446c3966e22ac5e25755834cb6b9086b4e8d4198ee317c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I3XMACBK5XTFANI24AUDYPNTWE/bundle.json","state_url":"https://pith.science/pith/I3XMACBK5XTFANI24AUDYPNTWE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I3XMACBK5XTFANI24AUDYPNTWE/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":"2026-06-01T14:38:38Z","links":{"resolver":"https://pith.science/pith/I3XMACBK5XTFANI24AUDYPNTWE","bundle":"https://pith.science/pith/I3XMACBK5XTFANI24AUDYPNTWE/bundle.json","state":"https://pith.science/pith/I3XMACBK5XTFANI24AUDYPNTWE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I3XMACBK5XTFANI24AUDYPNTWE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:I3XMACBK5XTFANI24AUDYPNTWE","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":"a48f5bbabf2894c23faa04f4f6c455b0eef798c1c16a092b710ac526be84e31b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-02T12:34:00Z","title_canon_sha256":"69965c9b32ab645c45b6afb6eb96b84c5578a3cea63ac13c93e0480ae020fa55"},"schema_version":"1.0","source":{"id":"0907.0362","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.0362","created_at":"2026-05-18T02:13:11Z"},{"alias_kind":"arxiv_version","alias_value":"0907.0362v3","created_at":"2026-05-18T02:13:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.0362","created_at":"2026-05-18T02:13:11Z"},{"alias_kind":"pith_short_12","alias_value":"I3XMACBK5XTF","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"I3XMACBK5XTFANI2","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"I3XMACBK","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:c66ab7cac46446cbd3446c3966e22ac5e25755834cb6b9086b4e8d4198ee317c","target":"graph","created_at":"2026-05-18T02:13:11Z","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":"It has been shown in earlier works that for Q=0 and L a multiple of N, the ground state sector eigenspace of the superintegrable tau_2(t_q) model is highly degenerate and is generated by a quantum loop algebra L(sl_2). Furthermore, this loop algebra can be decomposed into r=(N-1)L/N simple sl_2 algebras. For Q not equal 0, we shall show here that the corresponding eigenspace of tau_2(t_q) is still highly degenerate, but splits into two spaces, each containing 2^{r-1} independent eigenvectors. The generators for the sl_2 subalgebras, and also for the quantum loop subalgebra, are given generaliz","authors_text":"Australian National University), Helen Au-Yang, Jacques H. H. Perk (Oklahoma State University","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-02T12:34:00Z","title":"Quantum Loop Subalgebra and Eigenvectors of the Superintegrable Chiral Potts Transfer Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.0362","kind":"arxiv","version":3},"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":"sha256:068fb0af498ec2dc1176478548bf6746d8259fc633685ca5d81c80b9e401f854","target":"record","created_at":"2026-05-18T02:13:11Z","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":"a48f5bbabf2894c23faa04f4f6c455b0eef798c1c16a092b710ac526be84e31b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-02T12:34:00Z","title_canon_sha256":"69965c9b32ab645c45b6afb6eb96b84c5578a3cea63ac13c93e0480ae020fa55"},"schema_version":"1.0","source":{"id":"0907.0362","kind":"arxiv","version":3}},"canonical_sha256":"46eec0082aede650351ae0283c3db3b1046a74318fd705820fbce8bfadb8e728","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46eec0082aede650351ae0283c3db3b1046a74318fd705820fbce8bfadb8e728","first_computed_at":"2026-05-18T02:13:11.201429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:11.201429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o2RtctKqD5Sj9DbroNLXVF9Hh6XDdLhwzOcrtI9Wg2WvpeRlxqmakTYWq6LsltUoVxL+cpS0vzXPeTCsmZrgCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:11.201788Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.0362","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:068fb0af498ec2dc1176478548bf6746d8259fc633685ca5d81c80b9e401f854","sha256:c66ab7cac46446cbd3446c3966e22ac5e25755834cb6b9086b4e8d4198ee317c"],"state_sha256":"2c0bfa4427eeae07c0f227e0fdb5dff5e409dabb5ce3450b841198232f5e18d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AbieKdw4OcOsn0Qfpp1Ob/FzNRpO1TsILVjJYoFqCpDIP8gnzqk+gJcCL8u4ScLXT64hoPrg5uwfCOOJTJ8/Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:38:38.291521Z","bundle_sha256":"ab7e44162ed850be5e33cbdd5822f55b4d0b1e48966f290a8a09852330d37414"}}