{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:DHX23NDYQ2POWPKCLSGPUKKLZQ","short_pith_number":"pith:DHX23NDY","canonical_record":{"source":{"id":"2512.16825","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2025-12-18T18:05:26Z","cross_cats_sorted":["math.RA","math.RT"],"title_canon_sha256":"b4f724e6715e759c5f872e0c707253e444b7c16bf1c47ca7c0c420cdc15d504c","abstract_canon_sha256":"96ac7cf32167756f6e1fcbb20695dbb05781d46ec779f109feb2d10edb964c90"},"schema_version":"1.0"},"canonical_sha256":"19efadb478869eeb3d425c8cfa294bcc316de6be37c65af2b58a7b4fd1f1855e","source":{"kind":"arxiv","id":"2512.16825","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.16825","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"2512.16825v3","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.16825","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"DHX23NDYQ2PO","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"pith_short_16","alias_value":"DHX23NDYQ2POWPKC","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"pith_short_8","alias_value":"DHX23NDY","created_at":"2026-06-19T16:10:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:DHX23NDYQ2POWPKCLSGPUKKLZQ","target":"record","payload":{"canonical_record":{"source":{"id":"2512.16825","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2025-12-18T18:05:26Z","cross_cats_sorted":["math.RA","math.RT"],"title_canon_sha256":"b4f724e6715e759c5f872e0c707253e444b7c16bf1c47ca7c0c420cdc15d504c","abstract_canon_sha256":"96ac7cf32167756f6e1fcbb20695dbb05781d46ec779f109feb2d10edb964c90"},"schema_version":"1.0"},"canonical_sha256":"19efadb478869eeb3d425c8cfa294bcc316de6be37c65af2b58a7b4fd1f1855e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:10:33.695587Z","signature_b64":"Arpkkn5shOZ0mXxQWMWJytje4juOPHIwst6WjO9dnYwSjSLst8S9nkM22V3QcFduhe8F78dWv5rButgpDJTwCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19efadb478869eeb3d425c8cfa294bcc316de6be37c65af2b58a7b4fd1f1855e","last_reissued_at":"2026-06-19T16:10:33.695128Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:10:33.695128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.16825","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":"2026-06-19T16:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RT49mDFBc6/2to6hhvFL43b0ClEZ8ZGEzx/ILObL9yPjr69VmRIKxTbYYI76GPAJux1zKfOtP5+V7Q0wPmJ9BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:59:40.108985Z"},"content_sha256":"fe783aedc87c1af35ac06dd6b24a8a200d8f8dfd7bc3ca2f5c07366dd85cdc82","schema_version":"1.0","event_id":"sha256:fe783aedc87c1af35ac06dd6b24a8a200d8f8dfd7bc3ca2f5c07366dd85cdc82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:DHX23NDYQ2POWPKCLSGPUKKLZQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quivers with quantum Yang-Baxter equation and Hecke condition: Deformation of face algebras","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.RA","math.RT"],"primary_cat":"math.QA","authors_text":"Ashish K. Srivastava, Cody Gilbert","submitted_at":"2025-12-18T18:05:26Z","abstract_excerpt":"In this paper we initiate the study of quivers carrying quantum Yang--Baxter and Hecke structure, and we apply this framework to study path algebras over quivers whose loop spaces carry RTT relations determined by Hecke $R$-matrices. We show that the quantum matrix algebra $\\mathcal{O}_q(M_n)$ is isomorphic as a bialgebra to the face algebra over a rose quiver deformed by RTT relations of the $GL_q(n)$ Hecke $R$-matrix."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.16825","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/2512.16825/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":"2026-06-19T16:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CfWkN1zN+AZMJesy5Bh2KetyFK0ygZz/dFvFnGTedENKsrGA6YRYwO2ThXkC8EbBe4heNnmF1w+3wKlZwKlRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:59:40.109391Z"},"content_sha256":"91887c36683cc6ea2680671c408cd65720dab9392e93968e6bd9fc848af5e9bc","schema_version":"1.0","event_id":"sha256:91887c36683cc6ea2680671c408cd65720dab9392e93968e6bd9fc848af5e9bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DHX23NDYQ2POWPKCLSGPUKKLZQ/bundle.json","state_url":"https://pith.science/pith/DHX23NDYQ2POWPKCLSGPUKKLZQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DHX23NDYQ2POWPKCLSGPUKKLZQ/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":"2026-06-20T04:59:40Z","links":{"resolver":"https://pith.science/pith/DHX23NDYQ2POWPKCLSGPUKKLZQ","bundle":"https://pith.science/pith/DHX23NDYQ2POWPKCLSGPUKKLZQ/bundle.json","state":"https://pith.science/pith/DHX23NDYQ2POWPKCLSGPUKKLZQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DHX23NDYQ2POWPKCLSGPUKKLZQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DHX23NDYQ2POWPKCLSGPUKKLZQ","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":"96ac7cf32167756f6e1fcbb20695dbb05781d46ec779f109feb2d10edb964c90","cross_cats_sorted":["math.RA","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2025-12-18T18:05:26Z","title_canon_sha256":"b4f724e6715e759c5f872e0c707253e444b7c16bf1c47ca7c0c420cdc15d504c"},"schema_version":"1.0","source":{"id":"2512.16825","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.16825","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"2512.16825v3","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.16825","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"DHX23NDYQ2PO","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"pith_short_16","alias_value":"DHX23NDYQ2POWPKC","created_at":"2026-06-19T16:10:33Z"},{"alias_kind":"pith_short_8","alias_value":"DHX23NDY","created_at":"2026-06-19T16:10:33Z"}],"graph_snapshots":[{"event_id":"sha256:91887c36683cc6ea2680671c408cd65720dab9392e93968e6bd9fc848af5e9bc","target":"graph","created_at":"2026-06-19T16:10:33Z","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/2512.16825/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we initiate the study of quivers carrying quantum Yang--Baxter and Hecke structure, and we apply this framework to study path algebras over quivers whose loop spaces carry RTT relations determined by Hecke $R$-matrices. We show that the quantum matrix algebra $\\mathcal{O}_q(M_n)$ is isomorphic as a bialgebra to the face algebra over a rose quiver deformed by RTT relations of the $GL_q(n)$ Hecke $R$-matrix.","authors_text":"Ashish K. Srivastava, Cody Gilbert","cross_cats":["math.RA","math.RT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2025-12-18T18:05:26Z","title":"Quivers with quantum Yang-Baxter equation and Hecke condition: Deformation of face algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.16825","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:fe783aedc87c1af35ac06dd6b24a8a200d8f8dfd7bc3ca2f5c07366dd85cdc82","target":"record","created_at":"2026-06-19T16:10:33Z","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":"96ac7cf32167756f6e1fcbb20695dbb05781d46ec779f109feb2d10edb964c90","cross_cats_sorted":["math.RA","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2025-12-18T18:05:26Z","title_canon_sha256":"b4f724e6715e759c5f872e0c707253e444b7c16bf1c47ca7c0c420cdc15d504c"},"schema_version":"1.0","source":{"id":"2512.16825","kind":"arxiv","version":3}},"canonical_sha256":"19efadb478869eeb3d425c8cfa294bcc316de6be37c65af2b58a7b4fd1f1855e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19efadb478869eeb3d425c8cfa294bcc316de6be37c65af2b58a7b4fd1f1855e","first_computed_at":"2026-06-19T16:10:33.695128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:33.695128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Arpkkn5shOZ0mXxQWMWJytje4juOPHIwst6WjO9dnYwSjSLst8S9nkM22V3QcFduhe8F78dWv5rButgpDJTwCw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:33.695587Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.16825","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe783aedc87c1af35ac06dd6b24a8a200d8f8dfd7bc3ca2f5c07366dd85cdc82","sha256:91887c36683cc6ea2680671c408cd65720dab9392e93968e6bd9fc848af5e9bc"],"state_sha256":"257019f2fba052b61836556d9be370e58223290bcb6d31aaf39430f9eaa4e963"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JgjPPnFN1eQMqU4QR8bpSzHfNiCnj/+ILWwVMvAfTUNZtam3vdMIcjyvIyI7JTdgstIEzY5lTuVL+byaKqO+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T04:59:40.111553Z","bundle_sha256":"b2ea347b49c75ce959bf69d96c35c5885eca32bb4a899f4bc68dd1ae3105de51"}}