{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JTSKJASHJQSL52NH5DVVXR724Z","short_pith_number":"pith:JTSKJASH","canonical_record":{"source":{"id":"1705.07169","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T20:11:35Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"76ea24c0744a0ac524a7d7421b47a5f2cb1fa829ab0b7ea698fe69934bc15aca","abstract_canon_sha256":"c5e4aa8716e7ea568172ddd7128149897da87e6f5b556abdd8123126c38e3e31"},"schema_version":"1.0"},"canonical_sha256":"4ce4a482474c24bee9a7e8eb5bc7fae6503d27eb1030d23f612899df20921014","source":{"kind":"arxiv","id":"1705.07169","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07169","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07169v1","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07169","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"pith_short_12","alias_value":"JTSKJASHJQSL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JTSKJASHJQSL52NH","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JTSKJASH","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JTSKJASHJQSL52NH5DVVXR724Z","target":"record","payload":{"canonical_record":{"source":{"id":"1705.07169","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T20:11:35Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"76ea24c0744a0ac524a7d7421b47a5f2cb1fa829ab0b7ea698fe69934bc15aca","abstract_canon_sha256":"c5e4aa8716e7ea568172ddd7128149897da87e6f5b556abdd8123126c38e3e31"},"schema_version":"1.0"},"canonical_sha256":"4ce4a482474c24bee9a7e8eb5bc7fae6503d27eb1030d23f612899df20921014","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:06.404482Z","signature_b64":"kLWZGqf54z+Pj+GQOI1uJzgxIonqWSReeoAcgUw/UtPit5kykcaeQn60YQBwtZyEGFv+aFl++AbA3mBEZoNHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ce4a482474c24bee9a7e8eb5bc7fae6503d27eb1030d23f612899df20921014","last_reissued_at":"2026-05-18T00:44:06.403931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:06.403931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.07169","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jr4HedGKIWhO6ncJDgBUqCxBVnja2P05IWY++WIjj4f+HjEJDFBkvKK8XGiq0qh73ljsV1bd9YkKCXTTk3vYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:58:13.665984Z"},"content_sha256":"17c5e73eb68636104a30ce38525ebbd51b439bdd0e9f0d78b042161126ef6ea7","schema_version":"1.0","event_id":"sha256:17c5e73eb68636104a30ce38525ebbd51b439bdd0e9f0d78b042161126ef6ea7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JTSKJASHJQSL52NH5DVVXR724Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hall-Littlewood RSK field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.PR","authors_text":"Alexey Bufetov, Konstantin Matveev","submitted_at":"2017-05-19T20:11:35Z","abstract_excerpt":"We introduce a randomized Hall-Littlewood RSK algorithm and study its combinatorial and probabilistic properties. On the probabilistic side, a new model --- the Hall-Littlewood RSK field --- is introduced. Its various degenerations contain known objects (the stochastic six vertex model, the asymmetric simple exclusion process) as well as a variety of new ones. We provide formulas for a rich class of observables of these models, extending existing results about Macdonald processes. On the combinatorial side, we establish analogs of properties of the classical RSK algorithm: invertibility, symme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07169","kind":"arxiv","version":1},"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":"2026-05-18T00:44:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y+UdHeGxVAb5G8gqknFDE+xAD4lVH5ciXAAdbselBg2sndHN9m+YBltwsa/MqcTqqeGAcxvoVTT8ZS/CB5SiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:58:13.666572Z"},"content_sha256":"095c3d1c2eec1f3db311a8625bb4fb68868e4f5759e1eea014f5e75d966e837b","schema_version":"1.0","event_id":"sha256:095c3d1c2eec1f3db311a8625bb4fb68868e4f5759e1eea014f5e75d966e837b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JTSKJASHJQSL52NH5DVVXR724Z/bundle.json","state_url":"https://pith.science/pith/JTSKJASHJQSL52NH5DVVXR724Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JTSKJASHJQSL52NH5DVVXR724Z/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":"2026-05-28T21:58:13Z","links":{"resolver":"https://pith.science/pith/JTSKJASHJQSL52NH5DVVXR724Z","bundle":"https://pith.science/pith/JTSKJASHJQSL52NH5DVVXR724Z/bundle.json","state":"https://pith.science/pith/JTSKJASHJQSL52NH5DVVXR724Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JTSKJASHJQSL52NH5DVVXR724Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JTSKJASHJQSL52NH5DVVXR724Z","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":"c5e4aa8716e7ea568172ddd7128149897da87e6f5b556abdd8123126c38e3e31","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T20:11:35Z","title_canon_sha256":"76ea24c0744a0ac524a7d7421b47a5f2cb1fa829ab0b7ea698fe69934bc15aca"},"schema_version":"1.0","source":{"id":"1705.07169","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07169","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07169v1","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07169","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"pith_short_12","alias_value":"JTSKJASHJQSL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JTSKJASHJQSL52NH","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JTSKJASH","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:095c3d1c2eec1f3db311a8625bb4fb68868e4f5759e1eea014f5e75d966e837b","target":"graph","created_at":"2026-05-18T00:44:06Z","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":"We introduce a randomized Hall-Littlewood RSK algorithm and study its combinatorial and probabilistic properties. On the probabilistic side, a new model --- the Hall-Littlewood RSK field --- is introduced. Its various degenerations contain known objects (the stochastic six vertex model, the asymmetric simple exclusion process) as well as a variety of new ones. We provide formulas for a rich class of observables of these models, extending existing results about Macdonald processes. On the combinatorial side, we establish analogs of properties of the classical RSK algorithm: invertibility, symme","authors_text":"Alexey Bufetov, Konstantin Matveev","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T20:11:35Z","title":"Hall-Littlewood RSK field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07169","kind":"arxiv","version":1},"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":"sha256:17c5e73eb68636104a30ce38525ebbd51b439bdd0e9f0d78b042161126ef6ea7","target":"record","created_at":"2026-05-18T00:44:06Z","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":"c5e4aa8716e7ea568172ddd7128149897da87e6f5b556abdd8123126c38e3e31","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T20:11:35Z","title_canon_sha256":"76ea24c0744a0ac524a7d7421b47a5f2cb1fa829ab0b7ea698fe69934bc15aca"},"schema_version":"1.0","source":{"id":"1705.07169","kind":"arxiv","version":1}},"canonical_sha256":"4ce4a482474c24bee9a7e8eb5bc7fae6503d27eb1030d23f612899df20921014","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ce4a482474c24bee9a7e8eb5bc7fae6503d27eb1030d23f612899df20921014","first_computed_at":"2026-05-18T00:44:06.403931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:06.403931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kLWZGqf54z+Pj+GQOI1uJzgxIonqWSReeoAcgUw/UtPit5kykcaeQn60YQBwtZyEGFv+aFl++AbA3mBEZoNHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:06.404482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07169","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17c5e73eb68636104a30ce38525ebbd51b439bdd0e9f0d78b042161126ef6ea7","sha256:095c3d1c2eec1f3db311a8625bb4fb68868e4f5759e1eea014f5e75d966e837b"],"state_sha256":"49b7086d542e4622dff990825c5d34e1e32f3da2efe8e5574d46f8acc229e919"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jtQMhkm756mZQf580KE2o037WXQpQojhDjIsfT1JSB/4rN32lgK/+avnsFQd8vhtWmiZ+dkOrohjWMf6jzqnAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T21:58:13.669554Z","bundle_sha256":"514887a5204e16f7ef8acf13aee6fb82c75c5e9b44ae6498597cf5f2d011199d"}}