{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:TI4DX6OTDKDYTBVS3KV2L2BYFW","short_pith_number":"pith:TI4DX6OT","canonical_record":{"source":{"id":"hep-th/0606280","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-06-30T09:12:55Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"18643c0c01de5ea90ec72012ceff08351fc6434e56dd32307546bbd2fe6ecf9a","abstract_canon_sha256":"03ab40656c484ee599344e9e1accff853b13c3b10fbfcce299c29cb88c0ad3d9"},"schema_version":"1.0"},"canonical_sha256":"9a383bf9d31a878986b2daaba5e8382d9c33f467d4e39b68ecd0e0ae59026d82","source":{"kind":"arxiv","id":"hep-th/0606280","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0606280","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0606280v4","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0606280","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"TI4DX6OTDKDY","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_16","alias_value":"TI4DX6OTDKDYTBVS","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_8","alias_value":"TI4DX6OT","created_at":"2026-07-04T15:22:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:TI4DX6OTDKDYTBVS3KV2L2BYFW","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0606280","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-06-30T09:12:55Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"18643c0c01de5ea90ec72012ceff08351fc6434e56dd32307546bbd2fe6ecf9a","abstract_canon_sha256":"03ab40656c484ee599344e9e1accff853b13c3b10fbfcce299c29cb88c0ad3d9"},"schema_version":"1.0"},"canonical_sha256":"9a383bf9d31a878986b2daaba5e8382d9c33f467d4e39b68ecd0e0ae59026d82","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:40.951987Z","signature_b64":"HLD7r0xagf3j38joA2ELniTTH3VPDCL/5RV/QyATM1lz0OlP82ylVISgUTRnG5sioD3YoX8ginDpc0KHlTKHBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a383bf9d31a878986b2daaba5e8382d9c33f467d4e39b68ecd0e0ae59026d82","last_reissued_at":"2026-07-04T15:22:40.951574Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:40.951574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0606280","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":"2026-07-04T15:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iA+zsM5f5z5DLHIB3iq6SpBi76I5CcNLRrh+3HDFBYd1Ybe6XlHx+MDcVQIxdw7nNazlO43q44sDrd6cYD73Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T04:56:02.460760Z"},"content_sha256":"6f8dc58d39586c1482d8b239ff2f6f61fdb7066126626ed0dd962025458d5a9e","schema_version":"1.0","event_id":"sha256:6f8dc58d39586c1482d8b239ff2f6f61fdb7066126626ed0dd962025458d5a9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:TI4DX6OTDKDYTBVS3KV2L2BYFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hidden Grassmann structure in the XXZ model","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"hep-th","authors_text":"F. Smirnov, H. Boos, M. Jimbo, T. Miwa, Y. Takeyama","submitted_at":"2006-06-30T09:12:55Z","abstract_excerpt":"For the critical XXZ model, we consider the space W of operators which are products of local operators with a disorder operator. We introduce two anti-commutative family of operators b(z), c(z) which act on the space W. These operators are constructed as traces over representations of the q-oscillator algebra, in close analogy with Baxter's Q-operators. We show that the vacuum expectation values of operators in W can be expressed in terms of an exponential of a quadratic form of b(z), c(z)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0606280","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0606280/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hJZyol/RMtpC6SRLpN8tV75gL29yck9iKyYBDv61+8h0o3sRHSUdJsDKQxvu5UrPSb3owUkMvxaACSKKBnwHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T04:56:02.461314Z"},"content_sha256":"ec855dfec66d624885b734a90f246116f0f195a875b13f7a94185290bc87c46e","schema_version":"1.0","event_id":"sha256:ec855dfec66d624885b734a90f246116f0f195a875b13f7a94185290bc87c46e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TI4DX6OTDKDYTBVS3KV2L2BYFW/bundle.json","state_url":"https://pith.science/pith/TI4DX6OTDKDYTBVS3KV2L2BYFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TI4DX6OTDKDYTBVS3KV2L2BYFW/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":"2026-08-20T04:56:02Z","links":{"resolver":"https://pith.science/pith/TI4DX6OTDKDYTBVS3KV2L2BYFW","bundle":"https://pith.science/pith/TI4DX6OTDKDYTBVS3KV2L2BYFW/bundle.json","state":"https://pith.science/pith/TI4DX6OTDKDYTBVS3KV2L2BYFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TI4DX6OTDKDYTBVS3KV2L2BYFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:TI4DX6OTDKDYTBVS3KV2L2BYFW","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":"03ab40656c484ee599344e9e1accff853b13c3b10fbfcce299c29cb88c0ad3d9","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2006-06-30T09:12:55Z","title_canon_sha256":"18643c0c01de5ea90ec72012ceff08351fc6434e56dd32307546bbd2fe6ecf9a"},"schema_version":"1.0","source":{"id":"hep-th/0606280","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0606280","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0606280v4","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0606280","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"TI4DX6OTDKDY","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_16","alias_value":"TI4DX6OTDKDYTBVS","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_8","alias_value":"TI4DX6OT","created_at":"2026-07-04T15:22:40Z"}],"graph_snapshots":[{"event_id":"sha256:ec855dfec66d624885b734a90f246116f0f195a875b13f7a94185290bc87c46e","target":"graph","created_at":"2026-07-04T15:22:40Z","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/0606280/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For the critical XXZ model, we consider the space W of operators which are products of local operators with a disorder operator. We introduce two anti-commutative family of operators b(z), c(z) which act on the space W. These operators are constructed as traces over representations of the q-oscillator algebra, in close analogy with Baxter's Q-operators. We show that the vacuum expectation values of operators in W can be expressed in terms of an exponential of a quadratic form of b(z), c(z).","authors_text":"F. Smirnov, H. Boos, M. Jimbo, T. Miwa, Y. Takeyama","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-06-30T09:12:55Z","title":"Hidden Grassmann structure in the XXZ model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0606280","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":"sha256:6f8dc58d39586c1482d8b239ff2f6f61fdb7066126626ed0dd962025458d5a9e","target":"record","created_at":"2026-07-04T15:22:40Z","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":"03ab40656c484ee599344e9e1accff853b13c3b10fbfcce299c29cb88c0ad3d9","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2006-06-30T09:12:55Z","title_canon_sha256":"18643c0c01de5ea90ec72012ceff08351fc6434e56dd32307546bbd2fe6ecf9a"},"schema_version":"1.0","source":{"id":"hep-th/0606280","kind":"arxiv","version":4}},"canonical_sha256":"9a383bf9d31a878986b2daaba5e8382d9c33f467d4e39b68ecd0e0ae59026d82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a383bf9d31a878986b2daaba5e8382d9c33f467d4e39b68ecd0e0ae59026d82","first_computed_at":"2026-07-04T15:22:40.951574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:22:40.951574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HLD7r0xagf3j38joA2ELniTTH3VPDCL/5RV/QyATM1lz0OlP82ylVISgUTRnG5sioD3YoX8ginDpc0KHlTKHBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:22:40.951987Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0606280","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f8dc58d39586c1482d8b239ff2f6f61fdb7066126626ed0dd962025458d5a9e","sha256:ec855dfec66d624885b734a90f246116f0f195a875b13f7a94185290bc87c46e"],"state_sha256":"0a98f49bd73c601723e180912f4cd1da89c1be3091c544783886f1675dc1661b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DhAsf5s0t8MyPr15BYlcmpX5N20g8/yoAk+4eUNxoMPX62cxeg7yW5b0Up211ALMJe9yWJq5KTZqMW96wjMDBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T04:56:02.466231Z","bundle_sha256":"6425080ee22cb0cfccb907863096abac5cba222e1df606c3fcfaf35681235586"}}