{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FO2TF3IAGIROE3JPPVSTGHOR77","short_pith_number":"pith:FO2TF3IA","canonical_record":{"source":{"id":"1305.2403","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-10T18:29:49Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"3f8225d72c6588b7924c737fe17f9c3b565ba31569e8cf08687953ced0b30990","abstract_canon_sha256":"7e1e697de8421763486c6561b8ef05539fe227e86d0ae319329abca33152df7f"},"schema_version":"1.0"},"canonical_sha256":"2bb532ed003222e26d2f7d65331dd1ffe192194e076a094498bcc3d61b03ddf4","source":{"kind":"arxiv","id":"1305.2403","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2403","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2403v4","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2403","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"FO2TF3IAGIRO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FO2TF3IAGIROE3JP","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FO2TF3IA","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FO2TF3IAGIROE3JPPVSTGHOR77","target":"record","payload":{"canonical_record":{"source":{"id":"1305.2403","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-10T18:29:49Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"3f8225d72c6588b7924c737fe17f9c3b565ba31569e8cf08687953ced0b30990","abstract_canon_sha256":"7e1e697de8421763486c6561b8ef05539fe227e86d0ae319329abca33152df7f"},"schema_version":"1.0"},"canonical_sha256":"2bb532ed003222e26d2f7d65331dd1ffe192194e076a094498bcc3d61b03ddf4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:03.553955Z","signature_b64":"Gi7wTnC9lVj/QZqTSRT3wv00neFl65qWgwS5QKrSJTOedhuaIljYIFlaldwMoEJ+XhWLRRZp1WMUYaPRC/8zDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bb532ed003222e26d2f7d65331dd1ffe192194e076a094498bcc3d61b03ddf4","last_reissued_at":"2026-05-18T01:50:03.553482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:03.553482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.2403","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Aoa+Dg3Fg+KRIdNnybbvRhGadgc/h4QXhaS5HZpI68wcDPsoJwBxGCNuyIuLHS3JKp42ZjeHkoKw9VblrEk1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:35:13.478501Z"},"content_sha256":"4e3a1b1660016ab3b804fbf461dcf52eaf5b937dda89477035495bbddda9f7fd","schema_version":"1.0","event_id":"sha256:4e3a1b1660016ab3b804fbf461dcf52eaf5b937dda89477035495bbddda9f7fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FO2TF3IAGIROE3JPPVSTGHOR77","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravity induced from quantum spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.QA"],"primary_cat":"gr-qc","authors_text":"Edwin Beggs, Shahn Majid","submitted_at":"2013-05-10T18:29:49Z","abstract_excerpt":"We show that tensoriality constraints in noncommutative Riemannian geometry in the 2-dimensional bicrossproduct model quantum spacetime algebra [x,t]=\\lambda x drastically reduce the moduli of possible metrics g up to normalisation to a single real parameter which we interpret as a time in the past from which all timelike geodesics emerge and a corresponding time in the future at which they all converge. Our analysis also implies a reduction of moduli in n-dimensions and we study the suggested spherically symmetric classical geometry in n=4 in detail, identifying two 1-parameter subcases where"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2403","kind":"arxiv","version":4},"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":"2026-05-18T01:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXKUsXsrfbEfe16gqZ9hS01QRjZs4mPvaq70Xk23wmEEOTLOBLQCkiJIpg9wbGmhYqn106Hf9vzV6dsmhZwPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:35:13.479075Z"},"content_sha256":"a21e4e8a4eb211687ee711588cdc23d71390c322b65ea63e0efec56a34bb4111","schema_version":"1.0","event_id":"sha256:a21e4e8a4eb211687ee711588cdc23d71390c322b65ea63e0efec56a34bb4111"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FO2TF3IAGIROE3JPPVSTGHOR77/bundle.json","state_url":"https://pith.science/pith/FO2TF3IAGIROE3JPPVSTGHOR77/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FO2TF3IAGIROE3JPPVSTGHOR77/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":"2026-06-01T02:35:13Z","links":{"resolver":"https://pith.science/pith/FO2TF3IAGIROE3JPPVSTGHOR77","bundle":"https://pith.science/pith/FO2TF3IAGIROE3JPPVSTGHOR77/bundle.json","state":"https://pith.science/pith/FO2TF3IAGIROE3JPPVSTGHOR77/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FO2TF3IAGIROE3JPPVSTGHOR77/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FO2TF3IAGIROE3JPPVSTGHOR77","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":"7e1e697de8421763486c6561b8ef05539fe227e86d0ae319329abca33152df7f","cross_cats_sorted":["hep-th","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-10T18:29:49Z","title_canon_sha256":"3f8225d72c6588b7924c737fe17f9c3b565ba31569e8cf08687953ced0b30990"},"schema_version":"1.0","source":{"id":"1305.2403","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2403","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2403v4","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2403","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"FO2TF3IAGIRO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FO2TF3IAGIROE3JP","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FO2TF3IA","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:a21e4e8a4eb211687ee711588cdc23d71390c322b65ea63e0efec56a34bb4111","target":"graph","created_at":"2026-05-18T01:50:03Z","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":"We show that tensoriality constraints in noncommutative Riemannian geometry in the 2-dimensional bicrossproduct model quantum spacetime algebra [x,t]=\\lambda x drastically reduce the moduli of possible metrics g up to normalisation to a single real parameter which we interpret as a time in the past from which all timelike geodesics emerge and a corresponding time in the future at which they all converge. Our analysis also implies a reduction of moduli in n-dimensions and we study the suggested spherically symmetric classical geometry in n=4 in detail, identifying two 1-parameter subcases where","authors_text":"Edwin Beggs, Shahn Majid","cross_cats":["hep-th","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-10T18:29:49Z","title":"Gravity induced from quantum spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2403","kind":"arxiv","version":4},"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":"sha256:4e3a1b1660016ab3b804fbf461dcf52eaf5b937dda89477035495bbddda9f7fd","target":"record","created_at":"2026-05-18T01:50:03Z","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":"7e1e697de8421763486c6561b8ef05539fe227e86d0ae319329abca33152df7f","cross_cats_sorted":["hep-th","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-10T18:29:49Z","title_canon_sha256":"3f8225d72c6588b7924c737fe17f9c3b565ba31569e8cf08687953ced0b30990"},"schema_version":"1.0","source":{"id":"1305.2403","kind":"arxiv","version":4}},"canonical_sha256":"2bb532ed003222e26d2f7d65331dd1ffe192194e076a094498bcc3d61b03ddf4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bb532ed003222e26d2f7d65331dd1ffe192194e076a094498bcc3d61b03ddf4","first_computed_at":"2026-05-18T01:50:03.553482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:03.553482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gi7wTnC9lVj/QZqTSRT3wv00neFl65qWgwS5QKrSJTOedhuaIljYIFlaldwMoEJ+XhWLRRZp1WMUYaPRC/8zDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:03.553955Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2403","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e3a1b1660016ab3b804fbf461dcf52eaf5b937dda89477035495bbddda9f7fd","sha256:a21e4e8a4eb211687ee711588cdc23d71390c322b65ea63e0efec56a34bb4111"],"state_sha256":"b8320a80b4c8fba8f091a80e638400da1816be63e9a1019547a3fc7447634cd9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ltZJzgiPbGFwSeVB3vTkE/QYTYhztGLEfdEySCZMtfAa8M1OFApqGjsVbgOVRo5eaX4JCBKlrtGYlcZ7/kkKAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:35:13.482061Z","bundle_sha256":"740d576c28d412579592a2859bc6280a1f9bc8ae46ff0477ee5182e3c01e7716"}}