{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:TOWBO2ELZKX3ZIE4F5UYISVI7A","short_pith_number":"pith:TOWBO2EL","canonical_record":{"source":{"id":"q-alg/9708017","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1997-08-18T06:05:36Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"733a7b8a71f504c035d804fcf9e53a10898d267015e0bfc93b87e7ad7dabdc9d","abstract_canon_sha256":"ac4f2236fb275b40ecbbd707d0428d0c7699ff1f81fa85205a2a8ce86c20ebd4"},"schema_version":"1.0"},"canonical_sha256":"9bac17688bcaafbca09c2f69844aa8f82fbc0c01f87af4ee39b8bb10ebb56168","source":{"kind":"arxiv","id":"q-alg/9708017","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9708017","created_at":"2026-05-18T02:35:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9708017v3","created_at":"2026-05-18T02:35:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9708017","created_at":"2026-05-18T02:35:07Z"},{"alias_kind":"pith_short_12","alias_value":"TOWBO2ELZKX3","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"TOWBO2ELZKX3ZIE4","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"TOWBO2EL","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:TOWBO2ELZKX3ZIE4F5UYISVI7A","target":"record","payload":{"canonical_record":{"source":{"id":"q-alg/9708017","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1997-08-18T06:05:36Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"733a7b8a71f504c035d804fcf9e53a10898d267015e0bfc93b87e7ad7dabdc9d","abstract_canon_sha256":"ac4f2236fb275b40ecbbd707d0428d0c7699ff1f81fa85205a2a8ce86c20ebd4"},"schema_version":"1.0"},"canonical_sha256":"9bac17688bcaafbca09c2f69844aa8f82fbc0c01f87af4ee39b8bb10ebb56168","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:07.096158Z","signature_b64":"ZaU5gGo8OTCvvoi6iFJL5vYTn8j5Bo67bDc9b8t7R7K5vDHVqwTBPnXMBA+QW9RQUQLilKjZK/lFnxJivrK8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bac17688bcaafbca09c2f69844aa8f82fbc0c01f87af4ee39b8bb10ebb56168","last_reissued_at":"2026-05-18T02:35:07.095568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:07.095568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"q-alg/9708017","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":"2026-05-18T02:35:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LNi73yEXxOjajdKr/OAXTTFP7uPZ4h2AwEVgwlTASzqEGT5JZqJnbRAuEBwiHEkvxA0nIr/LiA9uGmi52+mFCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:17:28.562468Z"},"content_sha256":"25cb383a9309e9fd641ab49ab0ce3ce42849ee0ccc78d89fd5caaefd4a4d652d","schema_version":"1.0","event_id":"sha256:25cb383a9309e9fd641ab49ab0ce3ce42849ee0ccc78d89fd5caaefd4a4d652d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:TOWBO2ELZKX3ZIE4F5UYISVI7A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Drinfel'd Twist and q-Deforming Maps for Lie Group Covariant Heisenberg Algebras","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"q-alg","authors_text":"Gaetano Fiore","submitted_at":"1997-08-18T06:05:36Z","abstract_excerpt":"Any deformation of a Weyl or Clifford algebra can be realized through a change of generators in the undeformed algebra. q-Deformations of Weyl or Clifford algebrae that were covariant under the action of a simple Lie algebra g are characterized by their being covariant under the action of the quantum group $U_q g$. We present a systematic procedure for determining all possible corresponding changes of generators, together with the corresponding realizations of the $U_q g$-action. The intriguing relation between g-invariants and $U_q g$-invariants suggests that these changes of generators might"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9708017","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":""},"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":"2026-05-18T02:35:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3F2+HHl49gd/fVm9Qqy9g9j5BCSMst/W9Cg+ne8YQ2TpYoRhS9rXC/n7eepzwAYx+pTq5eX3wqNFcbCzoelvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:17:28.563220Z"},"content_sha256":"8fe9e9a17b144536d8ab7adc94318c4b471056fa310cc64c128a169e299c2352","schema_version":"1.0","event_id":"sha256:8fe9e9a17b144536d8ab7adc94318c4b471056fa310cc64c128a169e299c2352"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TOWBO2ELZKX3ZIE4F5UYISVI7A/bundle.json","state_url":"https://pith.science/pith/TOWBO2ELZKX3ZIE4F5UYISVI7A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TOWBO2ELZKX3ZIE4F5UYISVI7A/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":"2026-06-08T17:17:28Z","links":{"resolver":"https://pith.science/pith/TOWBO2ELZKX3ZIE4F5UYISVI7A","bundle":"https://pith.science/pith/TOWBO2ELZKX3ZIE4F5UYISVI7A/bundle.json","state":"https://pith.science/pith/TOWBO2ELZKX3ZIE4F5UYISVI7A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TOWBO2ELZKX3ZIE4F5UYISVI7A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:TOWBO2ELZKX3ZIE4F5UYISVI7A","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":"ac4f2236fb275b40ecbbd707d0428d0c7699ff1f81fa85205a2a8ce86c20ebd4","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1997-08-18T06:05:36Z","title_canon_sha256":"733a7b8a71f504c035d804fcf9e53a10898d267015e0bfc93b87e7ad7dabdc9d"},"schema_version":"1.0","source":{"id":"q-alg/9708017","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9708017","created_at":"2026-05-18T02:35:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9708017v3","created_at":"2026-05-18T02:35:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9708017","created_at":"2026-05-18T02:35:07Z"},{"alias_kind":"pith_short_12","alias_value":"TOWBO2ELZKX3","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"TOWBO2ELZKX3ZIE4","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"TOWBO2EL","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:8fe9e9a17b144536d8ab7adc94318c4b471056fa310cc64c128a169e299c2352","target":"graph","created_at":"2026-05-18T02:35:07Z","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"},"paper":{"abstract_excerpt":"Any deformation of a Weyl or Clifford algebra can be realized through a change of generators in the undeformed algebra. q-Deformations of Weyl or Clifford algebrae that were covariant under the action of a simple Lie algebra g are characterized by their being covariant under the action of the quantum group $U_q g$. We present a systematic procedure for determining all possible corresponding changes of generators, together with the corresponding realizations of the $U_q g$-action. The intriguing relation between g-invariants and $U_q g$-invariants suggests that these changes of generators might","authors_text":"Gaetano Fiore","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1997-08-18T06:05:36Z","title":"Drinfel'd Twist and q-Deforming Maps for Lie Group Covariant Heisenberg Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9708017","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":"sha256:25cb383a9309e9fd641ab49ab0ce3ce42849ee0ccc78d89fd5caaefd4a4d652d","target":"record","created_at":"2026-05-18T02:35:07Z","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":"ac4f2236fb275b40ecbbd707d0428d0c7699ff1f81fa85205a2a8ce86c20ebd4","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1997-08-18T06:05:36Z","title_canon_sha256":"733a7b8a71f504c035d804fcf9e53a10898d267015e0bfc93b87e7ad7dabdc9d"},"schema_version":"1.0","source":{"id":"q-alg/9708017","kind":"arxiv","version":3}},"canonical_sha256":"9bac17688bcaafbca09c2f69844aa8f82fbc0c01f87af4ee39b8bb10ebb56168","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bac17688bcaafbca09c2f69844aa8f82fbc0c01f87af4ee39b8bb10ebb56168","first_computed_at":"2026-05-18T02:35:07.095568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:07.095568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZaU5gGo8OTCvvoi6iFJL5vYTn8j5Bo67bDc9b8t7R7K5vDHVqwTBPnXMBA+QW9RQUQLilKjZK/lFnxJivrK8Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:07.096158Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9708017","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25cb383a9309e9fd641ab49ab0ce3ce42849ee0ccc78d89fd5caaefd4a4d652d","sha256:8fe9e9a17b144536d8ab7adc94318c4b471056fa310cc64c128a169e299c2352"],"state_sha256":"474b26fe9d4fb086cc6d43c925d932e720c97e9afebeae03a041cdaf7f528df5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8fNM9pA3RFXp9ntyiJDn2D0dKzNvRSYrTfiI/1BnPASzDWUiRZrp4zqof4ZWZjEZ1X5MvLRWFPG1yXtf3r69Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:17:28.566907Z","bundle_sha256":"4c82d67e1ac8ad8fb76673dc6c963a79af4410f9b9f479f72257c6c6a796f2ca"}}