{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JEQO43G666D22BOST3ROC3GT6L","short_pith_number":"pith:JEQO43G6","canonical_record":{"source":{"id":"1308.3444","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-08-15T15:52:24Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","math.RT"],"title_canon_sha256":"d271450350d5667cf67a46cce0290596cda32fef5586429196596c085f9aa91e","abstract_canon_sha256":"5d7aa75ad56f1dad2500ebe1b697b1e8934e9a55317a28a03337149702a354d3"},"schema_version":"1.0"},"canonical_sha256":"4920ee6cdef787ad05d29ee2e16cd3f2ce9ca2e85d95d4808d399360a53a3214","source":{"kind":"arxiv","id":"1308.3444","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3444","created_at":"2026-05-18T01:28:06Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3444v4","created_at":"2026-05-18T01:28:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3444","created_at":"2026-05-18T01:28:06Z"},{"alias_kind":"pith_short_12","alias_value":"JEQO43G666D2","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JEQO43G666D22BOS","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JEQO43G6","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JEQO43G666D22BOST3ROC3GT6L","target":"record","payload":{"canonical_record":{"source":{"id":"1308.3444","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-08-15T15:52:24Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","math.RT"],"title_canon_sha256":"d271450350d5667cf67a46cce0290596cda32fef5586429196596c085f9aa91e","abstract_canon_sha256":"5d7aa75ad56f1dad2500ebe1b697b1e8934e9a55317a28a03337149702a354d3"},"schema_version":"1.0"},"canonical_sha256":"4920ee6cdef787ad05d29ee2e16cd3f2ce9ca2e85d95d4808d399360a53a3214","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:06.183084Z","signature_b64":"OXzz/9nwCX/8+NAMlF9KkPiX8//a+06VGkawRRF1gWvg6aS89arwaeYz+Oi5olj8QWa2kIohgJLk5qQpdLncCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4920ee6cdef787ad05d29ee2e16cd3f2ce9ca2e85d95d4808d399360a53a3214","last_reissued_at":"2026-05-18T01:28:06.182476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:06.182476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.3444","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:28:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ME80A1cF2LR737ECPqldUIrz7bxPfly6JsV7Junmc3Vl+E/DZZ2hcQ6Pdxn6UW4VLC0oTEgNsk03w1CzpV0UDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:19:45.168632Z"},"content_sha256":"e48ae0a68396651e5875a80775bb3f3154ad3e28c0d6ff1aa6c2dd15fef3cd56","schema_version":"1.0","event_id":"sha256:e48ae0a68396651e5875a80775bb3f3154ad3e28c0d6ff1aa6c2dd15fef3cd56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JEQO43G666D22BOST3ROC3GT6L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Baxter's Relations and Spectra of Quantum Integrable Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP","math.RT"],"primary_cat":"math.QA","authors_text":"David Hernandez, Edward Frenkel","submitted_at":"2013-08-15T15:52:24Z","abstract_excerpt":"Generalized Baxter's relations on the transfer-matrices (also known as Baxter's TQ relations) are constructed and proved for an arbitrary untwisted quantum affine algebra. Moreover, we interpret them as relations in the Grothendieck ring of the category O introduced by Jimbo and the second author in arXiv:1104.1891 involving infinite-dimensional representations constructed in arXiv:1104.1891, which we call here \"prefundamental\". We define the transfer-matrices associated to the prefundamental representations and prove that their eigenvalues on any finite-dimensional representation are polynomi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3444","kind":"arxiv","version":4},"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":"2026-05-18T01:28:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hhaD4j3xy2qFGJ4zHHblRBFNBGdKeo3mg/TSZdHZAdmsfb+CicPkmXbiXvLSmtquB1OOpSIe7xJneVlnp6X2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:19:45.169337Z"},"content_sha256":"6fadb56faa16353ba5fcd57a14de88bb86ba7a05a9e44d339838d59414bc70c5","schema_version":"1.0","event_id":"sha256:6fadb56faa16353ba5fcd57a14de88bb86ba7a05a9e44d339838d59414bc70c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JEQO43G666D22BOST3ROC3GT6L/bundle.json","state_url":"https://pith.science/pith/JEQO43G666D22BOST3ROC3GT6L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JEQO43G666D22BOST3ROC3GT6L/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":"2026-05-27T12:19:45Z","links":{"resolver":"https://pith.science/pith/JEQO43G666D22BOST3ROC3GT6L","bundle":"https://pith.science/pith/JEQO43G666D22BOST3ROC3GT6L/bundle.json","state":"https://pith.science/pith/JEQO43G666D22BOST3ROC3GT6L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JEQO43G666D22BOST3ROC3GT6L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JEQO43G666D22BOST3ROC3GT6L","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":"5d7aa75ad56f1dad2500ebe1b697b1e8934e9a55317a28a03337149702a354d3","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-08-15T15:52:24Z","title_canon_sha256":"d271450350d5667cf67a46cce0290596cda32fef5586429196596c085f9aa91e"},"schema_version":"1.0","source":{"id":"1308.3444","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3444","created_at":"2026-05-18T01:28:06Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3444v4","created_at":"2026-05-18T01:28:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3444","created_at":"2026-05-18T01:28:06Z"},{"alias_kind":"pith_short_12","alias_value":"JEQO43G666D2","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JEQO43G666D22BOS","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JEQO43G6","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:6fadb56faa16353ba5fcd57a14de88bb86ba7a05a9e44d339838d59414bc70c5","target":"graph","created_at":"2026-05-18T01:28:06Z","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":"Generalized Baxter's relations on the transfer-matrices (also known as Baxter's TQ relations) are constructed and proved for an arbitrary untwisted quantum affine algebra. Moreover, we interpret them as relations in the Grothendieck ring of the category O introduced by Jimbo and the second author in arXiv:1104.1891 involving infinite-dimensional representations constructed in arXiv:1104.1891, which we call here \"prefundamental\". We define the transfer-matrices associated to the prefundamental representations and prove that their eigenvalues on any finite-dimensional representation are polynomi","authors_text":"David Hernandez, Edward Frenkel","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-08-15T15:52:24Z","title":"Baxter's Relations and Spectra of Quantum Integrable Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3444","kind":"arxiv","version":4},"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:e48ae0a68396651e5875a80775bb3f3154ad3e28c0d6ff1aa6c2dd15fef3cd56","target":"record","created_at":"2026-05-18T01:28:06Z","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":"5d7aa75ad56f1dad2500ebe1b697b1e8934e9a55317a28a03337149702a354d3","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-08-15T15:52:24Z","title_canon_sha256":"d271450350d5667cf67a46cce0290596cda32fef5586429196596c085f9aa91e"},"schema_version":"1.0","source":{"id":"1308.3444","kind":"arxiv","version":4}},"canonical_sha256":"4920ee6cdef787ad05d29ee2e16cd3f2ce9ca2e85d95d4808d399360a53a3214","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4920ee6cdef787ad05d29ee2e16cd3f2ce9ca2e85d95d4808d399360a53a3214","first_computed_at":"2026-05-18T01:28:06.182476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:06.182476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OXzz/9nwCX/8+NAMlF9KkPiX8//a+06VGkawRRF1gWvg6aS89arwaeYz+Oi5olj8QWa2kIohgJLk5qQpdLncCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:06.183084Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.3444","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e48ae0a68396651e5875a80775bb3f3154ad3e28c0d6ff1aa6c2dd15fef3cd56","sha256:6fadb56faa16353ba5fcd57a14de88bb86ba7a05a9e44d339838d59414bc70c5"],"state_sha256":"af14c873366cdb4dadd944591dd38370cff454187147da15338743b0561623e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8y3z5CHO2UsEtmnTMYq1HcAPtKy5VhBD+kxpuX+YwcQxvzf+kKAWBRqyAuwtIJhfPCb64BOwXC4ifpVXCGn4Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T12:19:45.172647Z","bundle_sha256":"97f22ef5bd021c48f56d84f32b678c8943520c402172908daa99d322a3c419e5"}}