{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5GHVRG64T4SAC73R4FQUDX3JCJ","short_pith_number":"pith:5GHVRG64","canonical_record":{"source":{"id":"1310.6988","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2013-10-25T17:33:25Z","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"title_canon_sha256":"423fd851e2c8b7cd7a9dde15be351208d349953c0c8254f539de41a148364a97","abstract_canon_sha256":"4773d17e336d2e7de5fb34ef8e2d99580966192f5a989e36ddbbbfbe7ec42094"},"schema_version":"1.0"},"canonical_sha256":"e98f589bdc9f24017f71e16141df691255054a1c75e9c10bac1d51ed0272d270","source":{"kind":"arxiv","id":"1310.6988","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.6988","created_at":"2026-05-18T03:02:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.6988v3","created_at":"2026-05-18T03:02:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6988","created_at":"2026-05-18T03:02:34Z"},{"alias_kind":"pith_short_12","alias_value":"5GHVRG64T4SA","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5GHVRG64T4SAC73R","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5GHVRG64","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5GHVRG64T4SAC73R4FQUDX3JCJ","target":"record","payload":{"canonical_record":{"source":{"id":"1310.6988","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2013-10-25T17:33:25Z","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"title_canon_sha256":"423fd851e2c8b7cd7a9dde15be351208d349953c0c8254f539de41a148364a97","abstract_canon_sha256":"4773d17e336d2e7de5fb34ef8e2d99580966192f5a989e36ddbbbfbe7ec42094"},"schema_version":"1.0"},"canonical_sha256":"e98f589bdc9f24017f71e16141df691255054a1c75e9c10bac1d51ed0272d270","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:34.176832Z","signature_b64":"CE4tg/VGqAfwFcuD6H5RFlGR/NOOTGsn/m5Nj2E5ZrJdJNwc6sb5mmJDg0cuRoW/bShVpK0YkYTh2u6Vtft6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e98f589bdc9f24017f71e16141df691255054a1c75e9c10bac1d51ed0272d270","last_reissued_at":"2026-05-18T03:02:34.175942Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:34.175942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.6988","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":"2026-05-18T03:02:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jtYykg15P2VvjvwEdItK8iElGSVxbPUzfzADNtms5FNrw1XE+XcpOSF5m3auawLfuONg5dYthIfB9mfP/995Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:01:50.644936Z"},"content_sha256":"ca9de993a287aff3c068827f965a3d2a53597f839376c96ef9c7600f54241ab5","schema_version":"1.0","event_id":"sha256:ca9de993a287aff3c068827f965a3d2a53597f839376c96ef9c7600f54241ab5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5GHVRG64T4SAC73R4FQUDX3JCJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["hep-th","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Anton Zabrodin","submitted_at":"2013-10-25T17:33:25Z","abstract_excerpt":"Following the approach of [Alexandrov A., Kazakov V., Leurent S., Tsuboi Z., Zabrodin A., J. High Energy Phys. 2013 (2013), no. 9, 064, 65 pages, arXiv:1112.3310], we show how to construct the master T-operator for the quantum inhomogeneous GL(N) XXX spin chain with twisted boundary conditions. It satisfies the bilinear identity and Hirota equations for the classical mKP hierarchy. We also characterize the class of solutions to the mKP hierarchy that correspond to eigenvalues of the master T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6988","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":"2026-05-18T03:02:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tnEJl4lFPRiPKpOLT/fNRpJIbhe64xOlg0t+JEQvAq1CS/Q3VJ+FvCOPAYwcKySXiJHNIayqE6g64WBQpcfrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:01:50.645283Z"},"content_sha256":"34b815da8f5d27395c4757aa8a581dfaddb122f29d99142069e9ce5823fa9db1","schema_version":"1.0","event_id":"sha256:34b815da8f5d27395c4757aa8a581dfaddb122f29d99142069e9ce5823fa9db1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5GHVRG64T4SAC73R4FQUDX3JCJ/bundle.json","state_url":"https://pith.science/pith/5GHVRG64T4SAC73R4FQUDX3JCJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5GHVRG64T4SAC73R4FQUDX3JCJ/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":"2026-05-21T09:01:50Z","links":{"resolver":"https://pith.science/pith/5GHVRG64T4SAC73R4FQUDX3JCJ","bundle":"https://pith.science/pith/5GHVRG64T4SAC73R4FQUDX3JCJ/bundle.json","state":"https://pith.science/pith/5GHVRG64T4SAC73R4FQUDX3JCJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5GHVRG64T4SAC73R4FQUDX3JCJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5GHVRG64T4SAC73R4FQUDX3JCJ","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":"4773d17e336d2e7de5fb34ef8e2d99580966192f5a989e36ddbbbfbe7ec42094","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2013-10-25T17:33:25Z","title_canon_sha256":"423fd851e2c8b7cd7a9dde15be351208d349953c0c8254f539de41a148364a97"},"schema_version":"1.0","source":{"id":"1310.6988","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.6988","created_at":"2026-05-18T03:02:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.6988v3","created_at":"2026-05-18T03:02:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6988","created_at":"2026-05-18T03:02:34Z"},{"alias_kind":"pith_short_12","alias_value":"5GHVRG64T4SA","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5GHVRG64T4SAC73R","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5GHVRG64","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:34b815da8f5d27395c4757aa8a581dfaddb122f29d99142069e9ce5823fa9db1","target":"graph","created_at":"2026-05-18T03:02:34Z","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":"Following the approach of [Alexandrov A., Kazakov V., Leurent S., Tsuboi Z., Zabrodin A., J. High Energy Phys. 2013 (2013), no. 9, 064, 65 pages, arXiv:1112.3310], we show how to construct the master T-operator for the quantum inhomogeneous GL(N) XXX spin chain with twisted boundary conditions. It satisfies the bilinear identity and Hirota equations for the classical mKP hierarchy. We also characterize the class of solutions to the mKP hierarchy that correspond to eigenvalues of the master T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remar","authors_text":"Anton Zabrodin","cross_cats":["hep-th","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2013-10-25T17:33:25Z","title":"The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6988","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:ca9de993a287aff3c068827f965a3d2a53597f839376c96ef9c7600f54241ab5","target":"record","created_at":"2026-05-18T03:02:34Z","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":"4773d17e336d2e7de5fb34ef8e2d99580966192f5a989e36ddbbbfbe7ec42094","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2013-10-25T17:33:25Z","title_canon_sha256":"423fd851e2c8b7cd7a9dde15be351208d349953c0c8254f539de41a148364a97"},"schema_version":"1.0","source":{"id":"1310.6988","kind":"arxiv","version":3}},"canonical_sha256":"e98f589bdc9f24017f71e16141df691255054a1c75e9c10bac1d51ed0272d270","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e98f589bdc9f24017f71e16141df691255054a1c75e9c10bac1d51ed0272d270","first_computed_at":"2026-05-18T03:02:34.175942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:34.175942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CE4tg/VGqAfwFcuD6H5RFlGR/NOOTGsn/m5Nj2E5ZrJdJNwc6sb5mmJDg0cuRoW/bShVpK0YkYTh2u6Vtft6Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:34.176832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.6988","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca9de993a287aff3c068827f965a3d2a53597f839376c96ef9c7600f54241ab5","sha256:34b815da8f5d27395c4757aa8a581dfaddb122f29d99142069e9ce5823fa9db1"],"state_sha256":"3dd1d2118b2c0fc7dfe20f92737570441bc7927442bbc6cb55626fc1e808b981"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OoMxS8xl2VHSM8o1Ban9gGer9ELUfaLT8Jv3EbpeNtDWPHxcq90SHuQyIXPt75OGkHV1DNR4+CFSERhoyntoBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T09:01:50.647309Z","bundle_sha256":"2cf54f103a94f70ff0ea9fa80c2a563aca5e1ebc5353f3eebc56717594434ca9"}}