{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:V6K6PHDDRDWK5MDZ7FAGYCF7X5","short_pith_number":"pith:V6K6PHDD","canonical_record":{"source":{"id":"2101.09860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2021-01-25T02:36:12Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"b67ea40b32efec3d14223c8256aa0eccb14c12e198ae42230a0032b3b3154ccc","abstract_canon_sha256":"fe26a2b600be86a391bc962e900750e4fb11ef6b82f7a665bd38e57ab2e61bff"},"schema_version":"1.0"},"canonical_sha256":"af95e79c6388ecaeb079f9406c08bfbf4def8ca3e7bc55300524ded66701987b","source":{"kind":"arxiv","id":"2101.09860","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.09860","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"2101.09860v2","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.09860","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"V6K6PHDDRDWK","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"pith_short_16","alias_value":"V6K6PHDDRDWK5MDZ","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"pith_short_8","alias_value":"V6K6PHDD","created_at":"2026-07-05T02:35:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:V6K6PHDDRDWK5MDZ7FAGYCF7X5","target":"record","payload":{"canonical_record":{"source":{"id":"2101.09860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2021-01-25T02:36:12Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"b67ea40b32efec3d14223c8256aa0eccb14c12e198ae42230a0032b3b3154ccc","abstract_canon_sha256":"fe26a2b600be86a391bc962e900750e4fb11ef6b82f7a665bd38e57ab2e61bff"},"schema_version":"1.0"},"canonical_sha256":"af95e79c6388ecaeb079f9406c08bfbf4def8ca3e7bc55300524ded66701987b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:35:34.593534Z","signature_b64":"wG97h3Tr+T3KQFhKQvB3K96BeKpUzVjFgNKyMoB64D7jnKfEaXxKubX1eDhQraNgt68m6StrHxxJCJJ7iHHQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af95e79c6388ecaeb079f9406c08bfbf4def8ca3e7bc55300524ded66701987b","last_reissued_at":"2026-07-05T02:35:34.593068Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:35:34.593068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.09860","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EAdjk9QB7aRZq9IcEQK9Ks38nQAqlaRmVnROAkcJXZNdm4qaqBiLNAkZBxxG4ClNsyiVMN+Aq16lVXWMtZ4wAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T22:50:19.587158Z"},"content_sha256":"88d5689184a0343d5bd22da57fd5e439943350415752a57fa9cd69a3fa61d257","schema_version":"1.0","event_id":"sha256:88d5689184a0343d5bd22da57fd5e439943350415752a57fa9cd69a3fa61d257"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:V6K6PHDDRDWK5MDZ7FAGYCF7X5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A conjecture concerning the $q$-Onsager algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.QA","authors_text":"Paul Terwilliger","submitted_at":"2021-01-25T02:36:12Z","abstract_excerpt":"The $q$-Onsager algebra $\\mathcal O_q$ is defined by two generators $W_0, W_1$ and two relations called the $q$-Dolan/Grady relations. Recently Baseilhac and Kolb obtained a PBW basis for $\\mathcal O_q$ with elements denoted $\\lbrace B_{n \\delta+ \\alpha_0} \\rbrace_{n=0}^\\infty, \\lbrace B_{n \\delta+ \\alpha_1} \\rbrace_{n=0}^\\infty, \\lbrace B_{n \\delta} \\rbrace_{n=1}^\\infty $. In their recent study of a current algebra $\\mathcal A_q$, Baseilhac and Belliard conjecture that there exist elements\n  $\\lbrace W_{-k}\\rbrace_{k=0}^\\infty, \\lbrace W_{k+1}\\rbrace_{k=0}^\\infty,\n  \\lbrace G_{k+1} \\rbrace_{k"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.09860","kind":"arxiv","version":2},"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/2101.09860/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":"2026-07-05T02:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IkBBNr36iMWc08Th3gnd2kMysFzrKHKoIW9m+IIKnpx2cJvycjsH0rUhm63iVcNfdewZHXFQq6zcxCqmKq38CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T22:50:19.587671Z"},"content_sha256":"cf6b6256f9bb7d9970c27192fbfccf5c26ea5f2520d13c664ac1d79c15b0f53e","schema_version":"1.0","event_id":"sha256:cf6b6256f9bb7d9970c27192fbfccf5c26ea5f2520d13c664ac1d79c15b0f53e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V6K6PHDDRDWK5MDZ7FAGYCF7X5/bundle.json","state_url":"https://pith.science/pith/V6K6PHDDRDWK5MDZ7FAGYCF7X5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V6K6PHDDRDWK5MDZ7FAGYCF7X5/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":"2026-08-23T22:50:19Z","links":{"resolver":"https://pith.science/pith/V6K6PHDDRDWK5MDZ7FAGYCF7X5","bundle":"https://pith.science/pith/V6K6PHDDRDWK5MDZ7FAGYCF7X5/bundle.json","state":"https://pith.science/pith/V6K6PHDDRDWK5MDZ7FAGYCF7X5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V6K6PHDDRDWK5MDZ7FAGYCF7X5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:V6K6PHDDRDWK5MDZ7FAGYCF7X5","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":"fe26a2b600be86a391bc962e900750e4fb11ef6b82f7a665bd38e57ab2e61bff","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2021-01-25T02:36:12Z","title_canon_sha256":"b67ea40b32efec3d14223c8256aa0eccb14c12e198ae42230a0032b3b3154ccc"},"schema_version":"1.0","source":{"id":"2101.09860","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.09860","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"2101.09860v2","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.09860","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"V6K6PHDDRDWK","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"pith_short_16","alias_value":"V6K6PHDDRDWK5MDZ","created_at":"2026-07-05T02:35:34Z"},{"alias_kind":"pith_short_8","alias_value":"V6K6PHDD","created_at":"2026-07-05T02:35:34Z"}],"graph_snapshots":[{"event_id":"sha256:cf6b6256f9bb7d9970c27192fbfccf5c26ea5f2520d13c664ac1d79c15b0f53e","target":"graph","created_at":"2026-07-05T02:35:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.09860/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The $q$-Onsager algebra $\\mathcal O_q$ is defined by two generators $W_0, W_1$ and two relations called the $q$-Dolan/Grady relations. Recently Baseilhac and Kolb obtained a PBW basis for $\\mathcal O_q$ with elements denoted $\\lbrace B_{n \\delta+ \\alpha_0} \\rbrace_{n=0}^\\infty, \\lbrace B_{n \\delta+ \\alpha_1} \\rbrace_{n=0}^\\infty, \\lbrace B_{n \\delta} \\rbrace_{n=1}^\\infty $. In their recent study of a current algebra $\\mathcal A_q$, Baseilhac and Belliard conjecture that there exist elements\n  $\\lbrace W_{-k}\\rbrace_{k=0}^\\infty, \\lbrace W_{k+1}\\rbrace_{k=0}^\\infty,\n  \\lbrace G_{k+1} \\rbrace_{k","authors_text":"Paul Terwilliger","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2021-01-25T02:36:12Z","title":"A conjecture concerning the $q$-Onsager algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.09860","kind":"arxiv","version":2},"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":"sha256:88d5689184a0343d5bd22da57fd5e439943350415752a57fa9cd69a3fa61d257","target":"record","created_at":"2026-07-05T02:35:34Z","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":"fe26a2b600be86a391bc962e900750e4fb11ef6b82f7a665bd38e57ab2e61bff","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2021-01-25T02:36:12Z","title_canon_sha256":"b67ea40b32efec3d14223c8256aa0eccb14c12e198ae42230a0032b3b3154ccc"},"schema_version":"1.0","source":{"id":"2101.09860","kind":"arxiv","version":2}},"canonical_sha256":"af95e79c6388ecaeb079f9406c08bfbf4def8ca3e7bc55300524ded66701987b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af95e79c6388ecaeb079f9406c08bfbf4def8ca3e7bc55300524ded66701987b","first_computed_at":"2026-07-05T02:35:34.593068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:35:34.593068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wG97h3Tr+T3KQFhKQvB3K96BeKpUzVjFgNKyMoB64D7jnKfEaXxKubX1eDhQraNgt68m6StrHxxJCJJ7iHHQBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:35:34.593534Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.09860","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88d5689184a0343d5bd22da57fd5e439943350415752a57fa9cd69a3fa61d257","sha256:cf6b6256f9bb7d9970c27192fbfccf5c26ea5f2520d13c664ac1d79c15b0f53e"],"state_sha256":"7682ce7a0a91c97ad59c9ca4afbccb545dbb90d0a13a3b4cb6cc2433eb4f44bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DLKmdEerxzRPyqn6nPX8KDLi//CWJNNheQfBO06Kmir8VULOE73BEOz7x+ZVyGmhc3hkx387YqnKvd04AvkjBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T22:50:19.591883Z","bundle_sha256":"aab499f41dfa68abab3dc19004c1c4f4cacdbcada650e8702ecb956db1b9e29f"}}