{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:B3OGYVGKHPWK2QVL3V44GMH22X","short_pith_number":"pith:B3OGYVGK","canonical_record":{"source":{"id":"1908.06525","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-18T22:32:02Z","cross_cats_sorted":["math.QA","math.RA"],"title_canon_sha256":"6a5dca52964ab23861321099010cba2b12145ac130696c449bf4a7e3fbad8000","abstract_canon_sha256":"5d516223aafd2fac35dacfc5af0a869fcfe36c150afcb55b242e095c233f3fbf"},"schema_version":"1.0"},"canonical_sha256":"0edc6c54ca3becad42abdd79c330fad5fa3c906afe6ebd49e77c36fc0198a3f2","source":{"kind":"arxiv","id":"1908.06525","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.06525","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"arxiv_version","alias_value":"1908.06525v3","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06525","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"pith_short_12","alias_value":"B3OGYVGKHPWK","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"pith_short_16","alias_value":"B3OGYVGKHPWK2QVL","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"pith_short_8","alias_value":"B3OGYVGK","created_at":"2026-07-05T02:20:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:B3OGYVGKHPWK2QVL3V44GMH22X","target":"record","payload":{"canonical_record":{"source":{"id":"1908.06525","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-18T22:32:02Z","cross_cats_sorted":["math.QA","math.RA"],"title_canon_sha256":"6a5dca52964ab23861321099010cba2b12145ac130696c449bf4a7e3fbad8000","abstract_canon_sha256":"5d516223aafd2fac35dacfc5af0a869fcfe36c150afcb55b242e095c233f3fbf"},"schema_version":"1.0"},"canonical_sha256":"0edc6c54ca3becad42abdd79c330fad5fa3c906afe6ebd49e77c36fc0198a3f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:20:26.952595Z","signature_b64":"txSdm/gi14ERlJC9ORZL9J8M6wwUEnVMi83ni4J/w26eLOnAGEibL70wbH3ratmF/0TpBtb5qk/KHbGow0C+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0edc6c54ca3becad42abdd79c330fad5fa3c906afe6ebd49e77c36fc0198a3f2","last_reissued_at":"2026-07-05T02:20:26.952114Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:20:26.952114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.06525","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":"2026-07-05T02:20:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V0EYCkDtYCPnI+TqLpcNjJZBt0m/ctgucdKyXslaxzVdJrEDgZsuhMA+8VYnUgoiCN4xgeGtceLrCLsTAkMfAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:24:31.185873Z"},"content_sha256":"0c7edf4497745a03f4074695b57a32be6898ac597de91cd23307956f30f80d19","schema_version":"1.0","event_id":"sha256:0c7edf4497745a03f4074695b57a32be6898ac597de91cd23307956f30f80d19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:B3OGYVGKHPWK2QVL3V44GMH22X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maps from Feigin and Odesskii's elliptic algebras to twisted homogeneous coordinate rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RA"],"primary_cat":"math.AG","authors_text":"Alex Chirvasitu, Ryo Kanda, S. Paul Smith","submitted_at":"2019-08-18T22:32:02Z","abstract_excerpt":"The elliptic algebras in the title are connected graded $\\mathbb{C}$-algebras, denoted $Q_{n,k}(E,\\tau)$, depending on a pair of relatively prime integers $n>k\\ge 1$, an elliptic curve $E$, and a point $\\tau\\in E$. This paper examines a canonical homomorphism from $Q_{n,k}(E,\\tau)$ to the twisted homogeneous coordinate ring $B(X_{n/k},\\sigma',\\mathcal{L}'_{n/k})$ on the characteristic variety $X_{n/k}$ for $Q_{n,k}(E,\\tau)$. When $X_{n/k}$ is isomorphic to $E^g$ or the symmetric power $S^gE$ we show the homomorphism $Q_{n,k}(E,\\tau) \\to B(X_{n/k},\\sigma',\\mathcal{L}'_{n/k})$ is surjective, tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06525","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/1908.06525/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":"2026-07-05T02:20:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/gBVYaoaXE9QzcwZ9Au+7R407V1+Y75zojuHYpfKzcKiZKxrmDN7TAemW18EIJlrJl8xuRziyeKAOa8C5WlNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:24:31.186378Z"},"content_sha256":"167de559ef0e00f2dc3e6677d5195d2f8c85f4060b437e0fbdc49a94bd2dd92a","schema_version":"1.0","event_id":"sha256:167de559ef0e00f2dc3e6677d5195d2f8c85f4060b437e0fbdc49a94bd2dd92a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3OGYVGKHPWK2QVL3V44GMH22X/bundle.json","state_url":"https://pith.science/pith/B3OGYVGKHPWK2QVL3V44GMH22X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3OGYVGKHPWK2QVL3V44GMH22X/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":"2026-08-16T05:24:31Z","links":{"resolver":"https://pith.science/pith/B3OGYVGKHPWK2QVL3V44GMH22X","bundle":"https://pith.science/pith/B3OGYVGKHPWK2QVL3V44GMH22X/bundle.json","state":"https://pith.science/pith/B3OGYVGKHPWK2QVL3V44GMH22X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3OGYVGKHPWK2QVL3V44GMH22X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:B3OGYVGKHPWK2QVL3V44GMH22X","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":"5d516223aafd2fac35dacfc5af0a869fcfe36c150afcb55b242e095c233f3fbf","cross_cats_sorted":["math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-18T22:32:02Z","title_canon_sha256":"6a5dca52964ab23861321099010cba2b12145ac130696c449bf4a7e3fbad8000"},"schema_version":"1.0","source":{"id":"1908.06525","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.06525","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"arxiv_version","alias_value":"1908.06525v3","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06525","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"pith_short_12","alias_value":"B3OGYVGKHPWK","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"pith_short_16","alias_value":"B3OGYVGKHPWK2QVL","created_at":"2026-07-05T02:20:26Z"},{"alias_kind":"pith_short_8","alias_value":"B3OGYVGK","created_at":"2026-07-05T02:20:26Z"}],"graph_snapshots":[{"event_id":"sha256:167de559ef0e00f2dc3e6677d5195d2f8c85f4060b437e0fbdc49a94bd2dd92a","target":"graph","created_at":"2026-07-05T02:20:26Z","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/1908.06525/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The elliptic algebras in the title are connected graded $\\mathbb{C}$-algebras, denoted $Q_{n,k}(E,\\tau)$, depending on a pair of relatively prime integers $n>k\\ge 1$, an elliptic curve $E$, and a point $\\tau\\in E$. This paper examines a canonical homomorphism from $Q_{n,k}(E,\\tau)$ to the twisted homogeneous coordinate ring $B(X_{n/k},\\sigma',\\mathcal{L}'_{n/k})$ on the characteristic variety $X_{n/k}$ for $Q_{n,k}(E,\\tau)$. When $X_{n/k}$ is isomorphic to $E^g$ or the symmetric power $S^gE$ we show the homomorphism $Q_{n,k}(E,\\tau) \\to B(X_{n/k},\\sigma',\\mathcal{L}'_{n/k})$ is surjective, tha","authors_text":"Alex Chirvasitu, Ryo Kanda, S. Paul Smith","cross_cats":["math.QA","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-18T22:32:02Z","title":"Maps from Feigin and Odesskii's elliptic algebras to twisted homogeneous coordinate rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06525","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":"sha256:0c7edf4497745a03f4074695b57a32be6898ac597de91cd23307956f30f80d19","target":"record","created_at":"2026-07-05T02:20:26Z","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":"5d516223aafd2fac35dacfc5af0a869fcfe36c150afcb55b242e095c233f3fbf","cross_cats_sorted":["math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-18T22:32:02Z","title_canon_sha256":"6a5dca52964ab23861321099010cba2b12145ac130696c449bf4a7e3fbad8000"},"schema_version":"1.0","source":{"id":"1908.06525","kind":"arxiv","version":3}},"canonical_sha256":"0edc6c54ca3becad42abdd79c330fad5fa3c906afe6ebd49e77c36fc0198a3f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0edc6c54ca3becad42abdd79c330fad5fa3c906afe6ebd49e77c36fc0198a3f2","first_computed_at":"2026-07-05T02:20:26.952114Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:20:26.952114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"txSdm/gi14ERlJC9ORZL9J8M6wwUEnVMi83ni4J/w26eLOnAGEibL70wbH3ratmF/0TpBtb5qk/KHbGow0C+Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:20:26.952595Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.06525","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c7edf4497745a03f4074695b57a32be6898ac597de91cd23307956f30f80d19","sha256:167de559ef0e00f2dc3e6677d5195d2f8c85f4060b437e0fbdc49a94bd2dd92a"],"state_sha256":"937d8668b42d0a65bd868fbb4b228a63f9fb8725e1267a459e1a995d5e4edf33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zNH9fHorgBljhRHzmP/mVRqs0Lx4Stx65KSAISsOQwcophxMvmGtP1znfhKBtXePpJ8TJUrr/AwWbqXROsm5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T05:24:31.189903Z","bundle_sha256":"585a8562d863fbfe6c57c5345b09b6e40bc889d0552e996bff2ad0387143cff5"}}