{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:IBM27Q5Z3HCBMNS3GSGEHA5LLH","short_pith_number":"pith:IBM27Q5Z","schema_version":"1.0","canonical_sha256":"4059afc3b9d9c416365b348c4383ab59c0a39aa9bc79b55b274ae8a6710b29ed","source":{"kind":"arxiv","id":"1507.01478","version":1},"attestation_state":"computed","paper":{"title":"Asymmetric stochastic transport models with ${\\mathcal{U}}_q(\\mathfrak{su}(1,1))$ symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Cristian Giardina', Frank Redig, Gioia Carinci, Tomohiro Sasamoto","submitted_at":"2015-07-06T14:37:25Z","abstract_excerpt":"By using the algebraic construction outlined in \\cite{CGRS}, we introduce several Markov processes related to the ${\\mathcal{U}}_q(\\mathfrak{su}(1,1))$ quantum Lie algebra. These processes serve as asymmetric transport models and their algebraic structure easily allows to deduce duality properties of the systems. The results include: (a) the asymmetric version of the Inclusion Process, which is self-dual; (b) the diffusion limit of this process, which is a natural asymmetric analogue of the Brownian Energy Process and which turns out to have the symmetric Inclusion Process as a dual process; ("},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1507.01478","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-07-06T14:37:25Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"58b33126ef3f897ce9138acb344f99918dc0675085eb7796bfc0569da5342d30","abstract_canon_sha256":"1159fcb74819aa71e969692df74c72968e6f3751c0ae01394915dcbf424c8fba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:33.613176Z","signature_b64":"UX3N0q2xw+Mr3ocno7XAjqI7hLDQTiL1FjFOu8ipn7W4n6TL17FSAjO8g49scZvm/FVmrESHhgXv/mSFsUGIDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4059afc3b9d9c416365b348c4383ab59c0a39aa9bc79b55b274ae8a6710b29ed","last_reissued_at":"2026-05-18T01:18:33.612829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:33.612829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymmetric stochastic transport models with ${\\mathcal{U}}_q(\\mathfrak{su}(1,1))$ symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Cristian Giardina', Frank Redig, Gioia Carinci, Tomohiro Sasamoto","submitted_at":"2015-07-06T14:37:25Z","abstract_excerpt":"By using the algebraic construction outlined in \\cite{CGRS}, we introduce several Markov processes related to the ${\\mathcal{U}}_q(\\mathfrak{su}(1,1))$ quantum Lie algebra. These processes serve as asymmetric transport models and their algebraic structure easily allows to deduce duality properties of the systems. The results include: (a) the asymmetric version of the Inclusion Process, which is self-dual; (b) the diffusion limit of this process, which is a natural asymmetric analogue of the Brownian Energy Process and which turns out to have the symmetric Inclusion Process as a dual process; ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01478","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1507.01478","created_at":"2026-05-18T01:18:33.612885+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.01478v1","created_at":"2026-05-18T01:18:33.612885+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01478","created_at":"2026-05-18T01:18:33.612885+00:00"},{"alias_kind":"pith_short_12","alias_value":"IBM27Q5Z3HCB","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"IBM27Q5Z3HCBMNS3","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"IBM27Q5Z","created_at":"2026-05-18T12:29:25.134429+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IBM27Q5Z3HCBMNS3GSGEHA5LLH","json":"https://pith.science/pith/IBM27Q5Z3HCBMNS3GSGEHA5LLH.json","graph_json":"https://pith.science/api/pith-number/IBM27Q5Z3HCBMNS3GSGEHA5LLH/graph.json","events_json":"https://pith.science/api/pith-number/IBM27Q5Z3HCBMNS3GSGEHA5LLH/events.json","paper":"https://pith.science/paper/IBM27Q5Z"},"agent_actions":{"view_html":"https://pith.science/pith/IBM27Q5Z3HCBMNS3GSGEHA5LLH","download_json":"https://pith.science/pith/IBM27Q5Z3HCBMNS3GSGEHA5LLH.json","view_paper":"https://pith.science/paper/IBM27Q5Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.01478&json=true","fetch_graph":"https://pith.science/api/pith-number/IBM27Q5Z3HCBMNS3GSGEHA5LLH/graph.json","fetch_events":"https://pith.science/api/pith-number/IBM27Q5Z3HCBMNS3GSGEHA5LLH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IBM27Q5Z3HCBMNS3GSGEHA5LLH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IBM27Q5Z3HCBMNS3GSGEHA5LLH/action/storage_attestation","attest_author":"https://pith.science/pith/IBM27Q5Z3HCBMNS3GSGEHA5LLH/action/author_attestation","sign_citation":"https://pith.science/pith/IBM27Q5Z3HCBMNS3GSGEHA5LLH/action/citation_signature","submit_replication":"https://pith.science/pith/IBM27Q5Z3HCBMNS3GSGEHA5LLH/action/replication_record"}},"created_at":"2026-05-18T01:18:33.612885+00:00","updated_at":"2026-05-18T01:18:33.612885+00:00"}