{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:CUMQRQFJMURITUFCRQ2H42P2J4","short_pith_number":"pith:CUMQRQFJ","canonical_record":{"source":{"id":"hep-th/0604130","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T11:56:49Z","cross_cats_sorted":["gr-qc","math.QA"],"title_canon_sha256":"b97509e4b30342f722b6d313d501a1f458499164aa1c8298254ec8da82d58cd4","abstract_canon_sha256":"a171a4dc9628b7784c9173968e72aebd514334017cacee3e0678881af88f3990"},"schema_version":"1.0"},"canonical_sha256":"151908c0a9652289d0a28c347e69fa4f09235f94955109906939f0f5c83e11f8","source":{"kind":"arxiv","id":"hep-th/0604130","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0604130","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0604130v1","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0604130","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"CUMQRQFJMURI","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"pith_short_16","alias_value":"CUMQRQFJMURITUFC","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"pith_short_8","alias_value":"CUMQRQFJ","created_at":"2026-07-04T14:54:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:CUMQRQFJMURITUFCRQ2H42P2J4","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0604130","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T11:56:49Z","cross_cats_sorted":["gr-qc","math.QA"],"title_canon_sha256":"b97509e4b30342f722b6d313d501a1f458499164aa1c8298254ec8da82d58cd4","abstract_canon_sha256":"a171a4dc9628b7784c9173968e72aebd514334017cacee3e0678881af88f3990"},"schema_version":"1.0"},"canonical_sha256":"151908c0a9652289d0a28c347e69fa4f09235f94955109906939f0f5c83e11f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:54:32.594325Z","signature_b64":"uU6ZLMRFsk8yJeib72ntmmuCJhIz5qF+lvzuEjwD5BcjAd2tye5nuoAt4YUUzAgLfEFrouoVDpRBCDTPSqA6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"151908c0a9652289d0a28c347e69fa4f09235f94955109906939f0f5c83e11f8","last_reissued_at":"2026-07-04T14:54:32.593970Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:54:32.593970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0604130","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":"2026-07-04T14:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EzcuhlMttIrxLPN0XN40xwI8+U/c/w5qqymuC+XR7S+0Fm6UL1s6dd682JLY/AmuQ1DvjV36Q+4P1lajQQqOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T07:45:35.323431Z"},"content_sha256":"ccb600948c4d9b7a76e4656833ada7a97e70193da881c974bcb6acb22a4b82d9","schema_version":"1.0","event_id":"sha256:ccb600948c4d9b7a76e4656833ada7a97e70193da881c974bcb6acb22a4b82d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:CUMQRQFJMURITUFCRQ2H42P2J4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic approach to quantum gravity II: noncommutative spacetime","license":"","headline":"","cross_cats":["gr-qc","math.QA"],"primary_cat":"hep-th","authors_text":"S. Majid","submitted_at":"2006-04-19T11:56:49Z","abstract_excerpt":"We provide a self-contained introduction to the quantum group approach to noncommutative geometry as the next-to-classical effective geometry that might be expected from any successful quantum gravity theory. We focus particularly on a thorough account of the bicrossproduct model noncommutative spacetimes of the form [t,x_i]=i \\lambda x_i and the correct formulation of predictions for it including a variable speed of light. We also study global issues in the Poincar\\'e group in the model with the 2D case as illustration. We show that any off-shell momentum can be boosted to infinite negative e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0604130","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/0604130/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":"2026-07-04T14:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sm81trv88YAeg+b9oiwbBdubyofFR4JMATlfMCnf0rycQlxXq1NPQfO2cOpS/P28vRSc2lU+LjKFvpF2XzHcCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T07:45:35.323814Z"},"content_sha256":"763a9aba304c6f7b2968fbbc5c903e66dca42f2dcc5cfec8a9ac4c991134d1de","schema_version":"1.0","event_id":"sha256:763a9aba304c6f7b2968fbbc5c903e66dca42f2dcc5cfec8a9ac4c991134d1de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CUMQRQFJMURITUFCRQ2H42P2J4/bundle.json","state_url":"https://pith.science/pith/CUMQRQFJMURITUFCRQ2H42P2J4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CUMQRQFJMURITUFCRQ2H42P2J4/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":"2026-07-05T07:45:35Z","links":{"resolver":"https://pith.science/pith/CUMQRQFJMURITUFCRQ2H42P2J4","bundle":"https://pith.science/pith/CUMQRQFJMURITUFCRQ2H42P2J4/bundle.json","state":"https://pith.science/pith/CUMQRQFJMURITUFCRQ2H42P2J4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CUMQRQFJMURITUFCRQ2H42P2J4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CUMQRQFJMURITUFCRQ2H42P2J4","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":"a171a4dc9628b7784c9173968e72aebd514334017cacee3e0678881af88f3990","cross_cats_sorted":["gr-qc","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T11:56:49Z","title_canon_sha256":"b97509e4b30342f722b6d313d501a1f458499164aa1c8298254ec8da82d58cd4"},"schema_version":"1.0","source":{"id":"hep-th/0604130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0604130","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0604130v1","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0604130","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"CUMQRQFJMURI","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"pith_short_16","alias_value":"CUMQRQFJMURITUFC","created_at":"2026-07-04T14:54:32Z"},{"alias_kind":"pith_short_8","alias_value":"CUMQRQFJ","created_at":"2026-07-04T14:54:32Z"}],"graph_snapshots":[{"event_id":"sha256:763a9aba304c6f7b2968fbbc5c903e66dca42f2dcc5cfec8a9ac4c991134d1de","target":"graph","created_at":"2026-07-04T14:54:32Z","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/0604130/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a self-contained introduction to the quantum group approach to noncommutative geometry as the next-to-classical effective geometry that might be expected from any successful quantum gravity theory. We focus particularly on a thorough account of the bicrossproduct model noncommutative spacetimes of the form [t,x_i]=i \\lambda x_i and the correct formulation of predictions for it including a variable speed of light. We also study global issues in the Poincar\\'e group in the model with the 2D case as illustration. We show that any off-shell momentum can be boosted to infinite negative e","authors_text":"S. Majid","cross_cats":["gr-qc","math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T11:56:49Z","title":"Algebraic approach to quantum gravity II: noncommutative spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0604130","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:ccb600948c4d9b7a76e4656833ada7a97e70193da881c974bcb6acb22a4b82d9","target":"record","created_at":"2026-07-04T14:54:32Z","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":"a171a4dc9628b7784c9173968e72aebd514334017cacee3e0678881af88f3990","cross_cats_sorted":["gr-qc","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T11:56:49Z","title_canon_sha256":"b97509e4b30342f722b6d313d501a1f458499164aa1c8298254ec8da82d58cd4"},"schema_version":"1.0","source":{"id":"hep-th/0604130","kind":"arxiv","version":1}},"canonical_sha256":"151908c0a9652289d0a28c347e69fa4f09235f94955109906939f0f5c83e11f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"151908c0a9652289d0a28c347e69fa4f09235f94955109906939f0f5c83e11f8","first_computed_at":"2026-07-04T14:54:32.593970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:54:32.593970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uU6ZLMRFsk8yJeib72ntmmuCJhIz5qF+lvzuEjwD5BcjAd2tye5nuoAt4YUUzAgLfEFrouoVDpRBCDTPSqA6Bw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:54:32.594325Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0604130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccb600948c4d9b7a76e4656833ada7a97e70193da881c974bcb6acb22a4b82d9","sha256:763a9aba304c6f7b2968fbbc5c903e66dca42f2dcc5cfec8a9ac4c991134d1de"],"state_sha256":"7235d3f091f094fc1187aad9e84eca14934b0e4e9f8c2f225169f39c7545c687"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RCXZrnUqi8nr/+LEq9ZKGZMdusbMWiO6c9OixWLKgQyVUbxEIlp6AI6iD1gNaCQq9eXlyGwivLBvi6qSe6ZICw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T07:45:35.326092Z","bundle_sha256":"c16bb774d8d6d921bcd38b0198bc7b613b755e32a5cad3afcaf7826520eb5db7"}}