{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:6IOPOYDEZRPMATTSUO7ZDXHCSK","short_pith_number":"pith:6IOPOYDE","canonical_record":{"source":{"id":"hep-th/9310196","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-10-30T21:19:25Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"03b6145a78a7c4dcfeb0aafc3a49fbf572cdcfb42a860bf302afdcb38cddbb27","abstract_canon_sha256":"b9e5e393eac266846fd01c8da4646b4d602d6063ed3877d198f9b5f144726819"},"schema_version":"1.0"},"canonical_sha256":"f21cf76064cc5ec04e72a3bf91dce29295077c3560be0c08eb2f5605c48b19fc","source":{"kind":"arxiv","id":"hep-th/9310196","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9310196","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9310196v1","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9310196","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"pith_short_12","alias_value":"6IOPOYDEZRPM","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"pith_short_16","alias_value":"6IOPOYDEZRPMATTS","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"pith_short_8","alias_value":"6IOPOYDE","created_at":"2026-07-04T15:08:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:6IOPOYDEZRPMATTSUO7ZDXHCSK","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9310196","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-10-30T21:19:25Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"03b6145a78a7c4dcfeb0aafc3a49fbf572cdcfb42a860bf302afdcb38cddbb27","abstract_canon_sha256":"b9e5e393eac266846fd01c8da4646b4d602d6063ed3877d198f9b5f144726819"},"schema_version":"1.0"},"canonical_sha256":"f21cf76064cc5ec04e72a3bf91dce29295077c3560be0c08eb2f5605c48b19fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:08:51.864600Z","signature_b64":"pC2ikfIz1b67PMS+xifaznRQhvgzr8qREA6WRkL/isH2qlTZncn4Z+2D70VwMS/1+iLDqZd/u1iVCoVmwPy/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f21cf76064cc5ec04e72a3bf91dce29295077c3560be0c08eb2f5605c48b19fc","last_reissued_at":"2026-07-04T15:08:51.864195Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:08:51.864195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9310196","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":"2026-07-04T15:08:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KExuJdhKdwbLALNsF6woOTzw89aREG8JwiprsoGEXFkLjeeggZa0674RYFBVyQM8WGsZJOUq7LQ2KYTToChwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T09:53:06.038210Z"},"content_sha256":"4b9918307750b9807fc50de90ea915112092cbaf5aed3e0329d0d5b1ddbc3d38","schema_version":"1.0","event_id":"sha256:4b9918307750b9807fc50de90ea915112092cbaf5aed3e0329d0d5b1ddbc3d38"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:6IOPOYDEZRPMATTSUO7ZDXHCSK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Weyl algebras","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"hep-th","authors_text":"A. Giaquinto, J. J. Zhang","submitted_at":"1993-10-30T21:19:25Z","abstract_excerpt":"For any Hecke symmetry $R$ there is a natural quantization $A_n(R)$ of the Weyl algebra $A_n$. The aim of this paper is to study some general ring-theoretic aspects of $A_n(R)$ and its relations to formal deformations of $A_n$. We also obtain further information on those quantizations obtained from some well-known Hecke symmetries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9310196","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9310196/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":"2026-07-04T15:08:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B7NkBKMox3Kza6mdxQDyoLTx8upVZuyluoxpKRHpjScAmSRvk8dqmoGbMTeVOA//Wg4cWuiVzco9/C5DOyP4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T09:53:06.038611Z"},"content_sha256":"fd4e1318c31800c1569387bb3a9769576982b836fa59c0ca6f0846ba328da77a","schema_version":"1.0","event_id":"sha256:fd4e1318c31800c1569387bb3a9769576982b836fa59c0ca6f0846ba328da77a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6IOPOYDEZRPMATTSUO7ZDXHCSK/bundle.json","state_url":"https://pith.science/pith/6IOPOYDEZRPMATTSUO7ZDXHCSK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6IOPOYDEZRPMATTSUO7ZDXHCSK/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":"2026-08-06T09:53:06Z","links":{"resolver":"https://pith.science/pith/6IOPOYDEZRPMATTSUO7ZDXHCSK","bundle":"https://pith.science/pith/6IOPOYDEZRPMATTSUO7ZDXHCSK/bundle.json","state":"https://pith.science/pith/6IOPOYDEZRPMATTSUO7ZDXHCSK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6IOPOYDEZRPMATTSUO7ZDXHCSK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:6IOPOYDEZRPMATTSUO7ZDXHCSK","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":"b9e5e393eac266846fd01c8da4646b4d602d6063ed3877d198f9b5f144726819","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"1993-10-30T21:19:25Z","title_canon_sha256":"03b6145a78a7c4dcfeb0aafc3a49fbf572cdcfb42a860bf302afdcb38cddbb27"},"schema_version":"1.0","source":{"id":"hep-th/9310196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9310196","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9310196v1","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9310196","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"pith_short_12","alias_value":"6IOPOYDEZRPM","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"pith_short_16","alias_value":"6IOPOYDEZRPMATTS","created_at":"2026-07-04T15:08:51Z"},{"alias_kind":"pith_short_8","alias_value":"6IOPOYDE","created_at":"2026-07-04T15:08:51Z"}],"graph_snapshots":[{"event_id":"sha256:fd4e1318c31800c1569387bb3a9769576982b836fa59c0ca6f0846ba328da77a","target":"graph","created_at":"2026-07-04T15:08:51Z","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/hep-th/9310196/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For any Hecke symmetry $R$ there is a natural quantization $A_n(R)$ of the Weyl algebra $A_n$. The aim of this paper is to study some general ring-theoretic aspects of $A_n(R)$ and its relations to formal deformations of $A_n$. We also obtain further information on those quantizations obtained from some well-known Hecke symmetries.","authors_text":"A. Giaquinto, J. J. Zhang","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-10-30T21:19:25Z","title":"Quantum Weyl algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9310196","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":"sha256:4b9918307750b9807fc50de90ea915112092cbaf5aed3e0329d0d5b1ddbc3d38","target":"record","created_at":"2026-07-04T15:08:51Z","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":"b9e5e393eac266846fd01c8da4646b4d602d6063ed3877d198f9b5f144726819","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"1993-10-30T21:19:25Z","title_canon_sha256":"03b6145a78a7c4dcfeb0aafc3a49fbf572cdcfb42a860bf302afdcb38cddbb27"},"schema_version":"1.0","source":{"id":"hep-th/9310196","kind":"arxiv","version":1}},"canonical_sha256":"f21cf76064cc5ec04e72a3bf91dce29295077c3560be0c08eb2f5605c48b19fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f21cf76064cc5ec04e72a3bf91dce29295077c3560be0c08eb2f5605c48b19fc","first_computed_at":"2026-07-04T15:08:51.864195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:08:51.864195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pC2ikfIz1b67PMS+xifaznRQhvgzr8qREA6WRkL/isH2qlTZncn4Z+2D70VwMS/1+iLDqZd/u1iVCoVmwPy/Bw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:08:51.864600Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9310196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b9918307750b9807fc50de90ea915112092cbaf5aed3e0329d0d5b1ddbc3d38","sha256:fd4e1318c31800c1569387bb3a9769576982b836fa59c0ca6f0846ba328da77a"],"state_sha256":"a7bff744475e16c076dac7f1a89ce8db26e6ea793e876dc38aa14087c2c585a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+EWyxtuw/gurRMTu/dhGbwsMOuTEAdhYTEAG8f/hRK4sf5/VrjVDT3lYfAJQghDaFcF3iR7PrIaPSI3+N2s9Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T09:53:06.042547Z","bundle_sha256":"94f28a0d284a958461aba0fee939987cc4e4f400a3120fe1af9647fbc78ed3da"}}