{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:CFAF63URNDDVGJPSAWCGKI64HU","short_pith_number":"pith:CFAF63UR","canonical_record":{"source":{"id":"math/9904027","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"1999-04-06T17:39:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7a8db2a273abca178d447e06b5ce0f546fc9c01c7f59ead3af88a3a526417753","abstract_canon_sha256":"1fa31d129d3fe8386979fea08c4359d5577be44e4f6b45166df1b54219b3db92"},"schema_version":"1.0"},"canonical_sha256":"11405f6e9168c75325f205846523dc3d02201c6a432139966c4e1d2ccd9e4594","source":{"kind":"arxiv","id":"math/9904027","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9904027","created_at":"2026-05-18T03:44:34Z"},{"alias_kind":"arxiv_version","alias_value":"math/9904027v1","created_at":"2026-05-18T03:44:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9904027","created_at":"2026-05-18T03:44:34Z"},{"alias_kind":"pith_short_12","alias_value":"CFAF63URNDDV","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"CFAF63URNDDVGJPS","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"CFAF63UR","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:CFAF63URNDDVGJPSAWCGKI64HU","target":"record","payload":{"canonical_record":{"source":{"id":"math/9904027","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"1999-04-06T17:39:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7a8db2a273abca178d447e06b5ce0f546fc9c01c7f59ead3af88a3a526417753","abstract_canon_sha256":"1fa31d129d3fe8386979fea08c4359d5577be44e4f6b45166df1b54219b3db92"},"schema_version":"1.0"},"canonical_sha256":"11405f6e9168c75325f205846523dc3d02201c6a432139966c4e1d2ccd9e4594","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:34.315882Z","signature_b64":"ti5ElaZ4x82wIb/X1ODq7ReZBwIlyrDY78KgjrRlpn6ZATdXfT1XUJC9J7B10o+3Owg8JTIba/m+exUnS8CmBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11405f6e9168c75325f205846523dc3d02201c6a432139966c4e1d2ccd9e4594","last_reissued_at":"2026-05-18T03:44:34.315074Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:34.315074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9904027","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":"2026-05-18T03:44:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"is5/K8sHsrewdIt39HadvYvrIlsjfhP845pbeADel/68HuY1mWT6U0l8GvE90rE1hE80biv8iNULmnXEX6qgAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:54:18.181482Z"},"content_sha256":"9620d25610797bdce4b7c48cdb12e7d454a8a1bf60f846aa902063d2ca4044dd","schema_version":"1.0","event_id":"sha256:9620d25610797bdce4b7c48cdb12e7d454a8a1bf60f846aa902063d2ca4044dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:CFAF63URNDDVGJPSAWCGKI64HU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Geometry of the Quantum Euclidean Space","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.QA","authors_text":"Gaetano Fiore, John Madore","submitted_at":"1999-04-06T17:39:31Z","abstract_excerpt":"A detailed study is made of the noncommutative geometry of $R^3_q$, the quantum space covariant under the quantum group $SO_q(3)$. For each of its two $SO_q(3)$-covariant differential calculi we find its metric, the corresponding frame and two torsion-free covariant derivatives that are metric compatible up to a conformal factor and which yield both a vanishing linear curvature. A discussion is given of various ways of imposing reality conditions. The delicate issue of the commutative limit is discussed at the formal algebraic level. Two rather different ways of taking the limit are suggested,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9904027","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":""},"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":"2026-05-18T03:44:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X1/F2UOBtHJb7igJ695qxoT7eqZkjxcPhUPPqsSWyS1hLdb7fCO9Z23X1NhoM9hmSKbWUXw8222rLEhEBXQQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:54:18.182012Z"},"content_sha256":"d64d5bb2ed2ff7fd9217ff2f10ed5399a8b8898643dfb06a79d94d8060b179dd","schema_version":"1.0","event_id":"sha256:d64d5bb2ed2ff7fd9217ff2f10ed5399a8b8898643dfb06a79d94d8060b179dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CFAF63URNDDVGJPSAWCGKI64HU/bundle.json","state_url":"https://pith.science/pith/CFAF63URNDDVGJPSAWCGKI64HU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CFAF63URNDDVGJPSAWCGKI64HU/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":"2026-06-09T04:54:18Z","links":{"resolver":"https://pith.science/pith/CFAF63URNDDVGJPSAWCGKI64HU","bundle":"https://pith.science/pith/CFAF63URNDDVGJPSAWCGKI64HU/bundle.json","state":"https://pith.science/pith/CFAF63URNDDVGJPSAWCGKI64HU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CFAF63URNDDVGJPSAWCGKI64HU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:CFAF63URNDDVGJPSAWCGKI64HU","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":"1fa31d129d3fe8386979fea08c4359d5577be44e4f6b45166df1b54219b3db92","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.QA","submitted_at":"1999-04-06T17:39:31Z","title_canon_sha256":"7a8db2a273abca178d447e06b5ce0f546fc9c01c7f59ead3af88a3a526417753"},"schema_version":"1.0","source":{"id":"math/9904027","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9904027","created_at":"2026-05-18T03:44:34Z"},{"alias_kind":"arxiv_version","alias_value":"math/9904027v1","created_at":"2026-05-18T03:44:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9904027","created_at":"2026-05-18T03:44:34Z"},{"alias_kind":"pith_short_12","alias_value":"CFAF63URNDDV","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"CFAF63URNDDVGJPS","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"CFAF63UR","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:d64d5bb2ed2ff7fd9217ff2f10ed5399a8b8898643dfb06a79d94d8060b179dd","target":"graph","created_at":"2026-05-18T03:44:34Z","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"},"paper":{"abstract_excerpt":"A detailed study is made of the noncommutative geometry of $R^3_q$, the quantum space covariant under the quantum group $SO_q(3)$. For each of its two $SO_q(3)$-covariant differential calculi we find its metric, the corresponding frame and two torsion-free covariant derivatives that are metric compatible up to a conformal factor and which yield both a vanishing linear curvature. A discussion is given of various ways of imposing reality conditions. The delicate issue of the commutative limit is discussed at the formal algebraic level. Two rather different ways of taking the limit are suggested,","authors_text":"Gaetano Fiore, John Madore","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"1999-04-06T17:39:31Z","title":"The Geometry of the Quantum Euclidean Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9904027","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":"sha256:9620d25610797bdce4b7c48cdb12e7d454a8a1bf60f846aa902063d2ca4044dd","target":"record","created_at":"2026-05-18T03:44:34Z","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":"1fa31d129d3fe8386979fea08c4359d5577be44e4f6b45166df1b54219b3db92","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.QA","submitted_at":"1999-04-06T17:39:31Z","title_canon_sha256":"7a8db2a273abca178d447e06b5ce0f546fc9c01c7f59ead3af88a3a526417753"},"schema_version":"1.0","source":{"id":"math/9904027","kind":"arxiv","version":1}},"canonical_sha256":"11405f6e9168c75325f205846523dc3d02201c6a432139966c4e1d2ccd9e4594","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11405f6e9168c75325f205846523dc3d02201c6a432139966c4e1d2ccd9e4594","first_computed_at":"2026-05-18T03:44:34.315074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:34.315074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ti5ElaZ4x82wIb/X1ODq7ReZBwIlyrDY78KgjrRlpn6ZATdXfT1XUJC9J7B10o+3Owg8JTIba/m+exUnS8CmBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:34.315882Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9904027","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9620d25610797bdce4b7c48cdb12e7d454a8a1bf60f846aa902063d2ca4044dd","sha256:d64d5bb2ed2ff7fd9217ff2f10ed5399a8b8898643dfb06a79d94d8060b179dd"],"state_sha256":"f671b79749329ba435571e116675eda2c8b4f8da92ddf22670476f7413c2646f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q7NyKy11HF1Hn1ijpTMnARhwRF4GK/tjYCaXOslt9x/RifbtGX4VOUzJbyqFXClMLvW5fAOfW8YWZATwFbtDCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:54:18.185489Z","bundle_sha256":"9625fc94015cf817d4994e8b9a12777f8175cea1b000c5d3dd481f228bc821a6"}}