{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:GLJRZPEPZGAGSHQXN6TFB7TRTJ","short_pith_number":"pith:GLJRZPEP","canonical_record":{"source":{"id":"solv-int/9801022","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"solv-int","submitted_at":"1998-01-22T20:03:38Z","cross_cats_sorted":["hep-th","nlin.SI"],"title_canon_sha256":"036fffb30ed174cde9ef7811e9af079cf0eaf3ee82d50bfe38dfc001d98f2baf","abstract_canon_sha256":"dcb3cf5d9a9d64ac004104b8e7a052305d6a0d542c671951b554af996cf51b22"},"schema_version":"1.0"},"canonical_sha256":"32d31cbc8fc980691e176fa650fe719a620fe1c86e41b5067647358c73be6553","source":{"kind":"arxiv","id":"solv-int/9801022","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9801022","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9801022v2","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9801022","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"GLJRZPEPZGAG","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"GLJRZPEPZGAGSHQX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"GLJRZPEP","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:GLJRZPEPZGAGSHQXN6TFB7TRTJ","target":"record","payload":{"canonical_record":{"source":{"id":"solv-int/9801022","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"solv-int","submitted_at":"1998-01-22T20:03:38Z","cross_cats_sorted":["hep-th","nlin.SI"],"title_canon_sha256":"036fffb30ed174cde9ef7811e9af079cf0eaf3ee82d50bfe38dfc001d98f2baf","abstract_canon_sha256":"dcb3cf5d9a9d64ac004104b8e7a052305d6a0d542c671951b554af996cf51b22"},"schema_version":"1.0"},"canonical_sha256":"32d31cbc8fc980691e176fa650fe719a620fe1c86e41b5067647358c73be6553","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:59.946469Z","signature_b64":"g2reaWAhesNEkvJMAIvcJUA/7EWB6omnCvqOMunqu6uoqN48vTD3qaXk3m2K1tEu7j+Qh7b1FKUGVUoVYyOPDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32d31cbc8fc980691e176fa650fe719a620fe1c86e41b5067647358c73be6553","last_reissued_at":"2026-05-18T01:04:59.945862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:59.945862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"solv-int/9801022","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"55anQD5VwdDSpS2eqec5WAQ4CMPMQWCTcgxPbnW9Sr6fIYpgR+WWnTvD7HCBLDlClg1leUThUkkvtNe/q4XTCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T08:34:43.446052Z"},"content_sha256":"041a1341ac63d0f8ffaaebb57891078dc0834fe77661f62885b558e70c63b914","schema_version":"1.0","event_id":"sha256:041a1341ac63d0f8ffaaebb57891078dc0834fe77661f62885b558e70c63b914"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:GLJRZPEPZGAGSHQXN6TFB7TRTJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vacuum curves of elliptic L-operators and representations of Sklyanin algebra","license":"","headline":"","cross_cats":["hep-th","nlin.SI"],"primary_cat":"solv-int","authors_text":"A.Zabrodin, I.Krichever","submitted_at":"1998-01-22T20:03:38Z","abstract_excerpt":"An algebro-geometric approach to representations of Sklyanin algebra is proposed. To each 2 \\times 2 quantum L-operator an algebraic curve parametrizing its possible vacuum states is associated. This curve is called the vacuum curve of the L-operator. An explicit description of the vacuum curve for quantum L-operators of the integrable spin chain of XYZ type with arbitrary spin $\\ell$ is given. The curve is highly reducible. For half-integer $\\ell$ it splits into $\\ell +{1/2}$ components isomorphic to an elliptic curve. For integer $\\ell$ it splits into $\\ell$ elliptic components and one ratio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9801022","kind":"arxiv","version":2},"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":"2026-05-18T01:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QYBiZSnOegcKgETMg0tzdQ2l1D+XnW/c3mJMJeC8yJzeQ5ezx0Q5zgO01E3wyAGKZ+6Gmy0r3tqsBcGDVxl+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T08:34:43.446630Z"},"content_sha256":"52ff1773f4817d8794d5103277638586085c96e084e2c6de0955eaf209bcec4a","schema_version":"1.0","event_id":"sha256:52ff1773f4817d8794d5103277638586085c96e084e2c6de0955eaf209bcec4a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GLJRZPEPZGAGSHQXN6TFB7TRTJ/bundle.json","state_url":"https://pith.science/pith/GLJRZPEPZGAGSHQXN6TFB7TRTJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GLJRZPEPZGAGSHQXN6TFB7TRTJ/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":"2026-08-04T08:34:43Z","links":{"resolver":"https://pith.science/pith/GLJRZPEPZGAGSHQXN6TFB7TRTJ","bundle":"https://pith.science/pith/GLJRZPEPZGAGSHQXN6TFB7TRTJ/bundle.json","state":"https://pith.science/pith/GLJRZPEPZGAGSHQXN6TFB7TRTJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GLJRZPEPZGAGSHQXN6TFB7TRTJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:GLJRZPEPZGAGSHQXN6TFB7TRTJ","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":"dcb3cf5d9a9d64ac004104b8e7a052305d6a0d542c671951b554af996cf51b22","cross_cats_sorted":["hep-th","nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1998-01-22T20:03:38Z","title_canon_sha256":"036fffb30ed174cde9ef7811e9af079cf0eaf3ee82d50bfe38dfc001d98f2baf"},"schema_version":"1.0","source":{"id":"solv-int/9801022","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9801022","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9801022v2","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9801022","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"GLJRZPEPZGAG","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"GLJRZPEPZGAGSHQX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"GLJRZPEP","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:52ff1773f4817d8794d5103277638586085c96e084e2c6de0955eaf209bcec4a","target":"graph","created_at":"2026-05-18T01:04:59Z","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":"An algebro-geometric approach to representations of Sklyanin algebra is proposed. To each 2 \\times 2 quantum L-operator an algebraic curve parametrizing its possible vacuum states is associated. This curve is called the vacuum curve of the L-operator. An explicit description of the vacuum curve for quantum L-operators of the integrable spin chain of XYZ type with arbitrary spin $\\ell$ is given. The curve is highly reducible. For half-integer $\\ell$ it splits into $\\ell +{1/2}$ components isomorphic to an elliptic curve. For integer $\\ell$ it splits into $\\ell$ elliptic components and one ratio","authors_text":"A.Zabrodin, I.Krichever","cross_cats":["hep-th","nlin.SI"],"headline":"","license":"","primary_cat":"solv-int","submitted_at":"1998-01-22T20:03:38Z","title":"Vacuum curves of elliptic L-operators and representations of Sklyanin algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9801022","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":"sha256:041a1341ac63d0f8ffaaebb57891078dc0834fe77661f62885b558e70c63b914","target":"record","created_at":"2026-05-18T01:04:59Z","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":"dcb3cf5d9a9d64ac004104b8e7a052305d6a0d542c671951b554af996cf51b22","cross_cats_sorted":["hep-th","nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1998-01-22T20:03:38Z","title_canon_sha256":"036fffb30ed174cde9ef7811e9af079cf0eaf3ee82d50bfe38dfc001d98f2baf"},"schema_version":"1.0","source":{"id":"solv-int/9801022","kind":"arxiv","version":2}},"canonical_sha256":"32d31cbc8fc980691e176fa650fe719a620fe1c86e41b5067647358c73be6553","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32d31cbc8fc980691e176fa650fe719a620fe1c86e41b5067647358c73be6553","first_computed_at":"2026-05-18T01:04:59.945862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:59.945862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g2reaWAhesNEkvJMAIvcJUA/7EWB6omnCvqOMunqu6uoqN48vTD3qaXk3m2K1tEu7j+Qh7b1FKUGVUoVYyOPDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:59.946469Z","signed_message":"canonical_sha256_bytes"},"source_id":"solv-int/9801022","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:041a1341ac63d0f8ffaaebb57891078dc0834fe77661f62885b558e70c63b914","sha256:52ff1773f4817d8794d5103277638586085c96e084e2c6de0955eaf209bcec4a"],"state_sha256":"ce289d6235e2835c30bb35852e6af9d1d20e62f512518a5526cfd47151e8c0cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QZv3m/qQCtNisSiQtKMQ1icbZWL2wrWT+B9cgAufLkNiGsfBTuZWnoQuuJi9QxCwg9Lfj+0b1oe9KpeFMIeyAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T08:34:43.450339Z","bundle_sha256":"26f9869f76c9d5217fb2899c9da4bbbc5891650fd9869d2227142ed33d6a9565"}}