{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:DJZEY64IK5SIPS7N4RUHDEDFLK","short_pith_number":"pith:DJZEY64I","canonical_record":{"source":{"id":"2004.13210","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-04-28T00:00:22Z","cross_cats_sorted":["cond-mat.str-el","hep-th","math.MP","math.QA","nlin.SI"],"title_canon_sha256":"fb48c7fb6f948506dd614efdc8a64addda1e03f9e272d077158a670667f8acff","abstract_canon_sha256":"effd26e6441bce165be2bd4a2d74b3faf4d8129e39baa262709f70d34cc74d9c"},"schema_version":"1.0"},"canonical_sha256":"1a724c7b88576487cbede4687190655abf2eae83a451f8b55f99198f02497fc9","source":{"kind":"arxiv","id":"2004.13210","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.13210","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"arxiv_version","alias_value":"2004.13210v3","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.13210","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"pith_short_12","alias_value":"DJZEY64IK5SI","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"pith_short_16","alias_value":"DJZEY64IK5SIPS7N","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"pith_short_8","alias_value":"DJZEY64I","created_at":"2026-07-05T04:46:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:DJZEY64IK5SIPS7N4RUHDEDFLK","target":"record","payload":{"canonical_record":{"source":{"id":"2004.13210","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-04-28T00:00:22Z","cross_cats_sorted":["cond-mat.str-el","hep-th","math.MP","math.QA","nlin.SI"],"title_canon_sha256":"fb48c7fb6f948506dd614efdc8a64addda1e03f9e272d077158a670667f8acff","abstract_canon_sha256":"effd26e6441bce165be2bd4a2d74b3faf4d8129e39baa262709f70d34cc74d9c"},"schema_version":"1.0"},"canonical_sha256":"1a724c7b88576487cbede4687190655abf2eae83a451f8b55f99198f02497fc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:46:10.102156Z","signature_b64":"n+9kxq/MhVIdl+Wk28LeBlZwvv25fs4apneFqbaksgvLlKzBucAK1OUM0tOOcJfFRxjlBTl0RUnHDp+zo4c5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a724c7b88576487cbede4687190655abf2eae83a451f8b55f99198f02497fc9","last_reissued_at":"2026-07-05T04:46:10.101798Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:46:10.101798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2004.13210","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":"2026-07-05T04:46:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IxkrdZ8Jwoq+gNpaITFlXR8KWbMlHQH5qmLWVQMc+1LIwgYlUuphDxofIA6nXDVpJDBeIw1cxfG/lbvnuC8cCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T04:35:08.789253Z"},"content_sha256":"0518a2870f447563ccd4d7a6f0aab18c6250425ed842e37ab575d5251fc7a0d0","schema_version":"1.0","event_id":"sha256:0518a2870f447563ccd4d7a6f0aab18c6250425ed842e37ab575d5251fc7a0d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:DJZEY64IK5SIPS7N4RUHDEDFLK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin-Ruijsenaars, q-deformed Haldane-Shastry and Macdonald polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","math.MP","math.QA","nlin.SI"],"primary_cat":"math-ph","authors_text":"Didina Serban, Jules Lamers, Vincent Pasquier","submitted_at":"2020-04-28T00:00:22Z","abstract_excerpt":"We study the $q$-analogue of the Haldane-Shastry model, a partially isotropic (XXZ-like) long-range spin chain that enjoys quantum-affine (really: quantum-loop) symmetries at finite size.\n  We derive the pairwise form of the Hamiltonian, found by one of us building on work of Uglov, via 'freezing' from the affine Hecke algebra. We obtain explicit expressions for the spin-analogue of Macdonald operators. Through freezing these yield the higher Hamiltonians of the spin chain, including a Hamiltonian of the opposite chirality. The sum of the two chiral Hamiltonians has a real spectrum also for $q"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.13210","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2004.13210/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":"2026-07-05T04:46:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iOT+CxWouG081Dk6dLYeycfN3F/Ve//f8JU4URWOC4qbkO6M9p+JZgDzKaDHnO3oit94DpZ7+1KXYIswwYElBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T04:35:08.790123Z"},"content_sha256":"c8ac3d1afcd8367545fc6f5f9917b80561fdb3ee0db698fefb8a9095c3f7106e","schema_version":"1.0","event_id":"sha256:c8ac3d1afcd8367545fc6f5f9917b80561fdb3ee0db698fefb8a9095c3f7106e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJZEY64IK5SIPS7N4RUHDEDFLK/bundle.json","state_url":"https://pith.science/pith/DJZEY64IK5SIPS7N4RUHDEDFLK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJZEY64IK5SIPS7N4RUHDEDFLK/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":"2026-08-17T04:35:08Z","links":{"resolver":"https://pith.science/pith/DJZEY64IK5SIPS7N4RUHDEDFLK","bundle":"https://pith.science/pith/DJZEY64IK5SIPS7N4RUHDEDFLK/bundle.json","state":"https://pith.science/pith/DJZEY64IK5SIPS7N4RUHDEDFLK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJZEY64IK5SIPS7N4RUHDEDFLK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:DJZEY64IK5SIPS7N4RUHDEDFLK","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":"effd26e6441bce165be2bd4a2d74b3faf4d8129e39baa262709f70d34cc74d9c","cross_cats_sorted":["cond-mat.str-el","hep-th","math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-04-28T00:00:22Z","title_canon_sha256":"fb48c7fb6f948506dd614efdc8a64addda1e03f9e272d077158a670667f8acff"},"schema_version":"1.0","source":{"id":"2004.13210","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.13210","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"arxiv_version","alias_value":"2004.13210v3","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.13210","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"pith_short_12","alias_value":"DJZEY64IK5SI","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"pith_short_16","alias_value":"DJZEY64IK5SIPS7N","created_at":"2026-07-05T04:46:10Z"},{"alias_kind":"pith_short_8","alias_value":"DJZEY64I","created_at":"2026-07-05T04:46:10Z"}],"graph_snapshots":[{"event_id":"sha256:c8ac3d1afcd8367545fc6f5f9917b80561fdb3ee0db698fefb8a9095c3f7106e","target":"graph","created_at":"2026-07-05T04:46:10Z","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/2004.13210/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the $q$-analogue of the Haldane-Shastry model, a partially isotropic (XXZ-like) long-range spin chain that enjoys quantum-affine (really: quantum-loop) symmetries at finite size.\n  We derive the pairwise form of the Hamiltonian, found by one of us building on work of Uglov, via 'freezing' from the affine Hecke algebra. We obtain explicit expressions for the spin-analogue of Macdonald operators. Through freezing these yield the higher Hamiltonians of the spin chain, including a Hamiltonian of the opposite chirality. The sum of the two chiral Hamiltonians has a real spectrum also for $q","authors_text":"Didina Serban, Jules Lamers, Vincent Pasquier","cross_cats":["cond-mat.str-el","hep-th","math.MP","math.QA","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-04-28T00:00:22Z","title":"Spin-Ruijsenaars, q-deformed Haldane-Shastry and Macdonald polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.13210","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":"sha256:0518a2870f447563ccd4d7a6f0aab18c6250425ed842e37ab575d5251fc7a0d0","target":"record","created_at":"2026-07-05T04:46:10Z","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":"effd26e6441bce165be2bd4a2d74b3faf4d8129e39baa262709f70d34cc74d9c","cross_cats_sorted":["cond-mat.str-el","hep-th","math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-04-28T00:00:22Z","title_canon_sha256":"fb48c7fb6f948506dd614efdc8a64addda1e03f9e272d077158a670667f8acff"},"schema_version":"1.0","source":{"id":"2004.13210","kind":"arxiv","version":3}},"canonical_sha256":"1a724c7b88576487cbede4687190655abf2eae83a451f8b55f99198f02497fc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a724c7b88576487cbede4687190655abf2eae83a451f8b55f99198f02497fc9","first_computed_at":"2026-07-05T04:46:10.101798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:46:10.101798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n+9kxq/MhVIdl+Wk28LeBlZwvv25fs4apneFqbaksgvLlKzBucAK1OUM0tOOcJfFRxjlBTl0RUnHDp+zo4c5BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:46:10.102156Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.13210","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0518a2870f447563ccd4d7a6f0aab18c6250425ed842e37ab575d5251fc7a0d0","sha256:c8ac3d1afcd8367545fc6f5f9917b80561fdb3ee0db698fefb8a9095c3f7106e"],"state_sha256":"254ced9e77b2883abcfe357f9654cf52d0e83834c670d07e07bbf01080905c9b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PUsqRUp+uR/dRr4XEQOp0cU3UF23yWhuRowJre3u3/DVorrJKMiKeMyEASq1xku5T1LJug9UtcYzpQb6Q7/+Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T04:35:08.877514Z","bundle_sha256":"e6a00335eaf832bf75e718277dd371083b57281ca68664de9a182b5b7a3e61c4"}}