{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ELJ4D3VQPGL2WO7RLB6PRXEP3T","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":"b23eb3491c3362b836b5de1450a751aa1e6d2e08cd4c4b028423c4c5dfc0943f","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T20:00:03Z","title_canon_sha256":"bffc6e504c75300e23db20ef728914b4e64eede25a279b11ccbc36561fccfa20"},"schema_version":"1.0","source":{"id":"1107.5308","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5308","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5308v2","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5308","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"ELJ4D3VQPGL2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ELJ4D3VQPGL2WO7R","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ELJ4D3VQ","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:ca25eecdb1c64c264ce4da5d949a7b48f1306db33f4d1a2e15c2d60b2bb041a4","target":"graph","created_at":"2026-05-18T04:07:07Z","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":"We establish a mapping between fractional and noncommutative spacetimes in configuration space. Depending on the scale at which the relation is considered, there arise two possibilities. For a fractional spacetime with log-oscillatory measure, the effective measure near the fundamental scale determining the log-period coincides with the non-rotation-invariant but cyclicity-preserving measure of \\kappa-Minkowski. At scales larger than the log-period, the fractional measure is averaged and becomes a power-law with real exponent. This can be also regarded as the cyclicity-inducing measure in a no","authors_text":"Daniele Oriti, Gianluca Calcagni, Marco Scalisi, Michele Arzano","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T20:00:03Z","title":"Fractional and noncommutative spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5308","kind":"arxiv","version":2},"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":"sha256:18a0b0cc0099d227f01fefbd5003d46030cfe79d17faa78c898ff30a52fe9327","target":"record","created_at":"2026-05-18T04:07:07Z","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":"b23eb3491c3362b836b5de1450a751aa1e6d2e08cd4c4b028423c4c5dfc0943f","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T20:00:03Z","title_canon_sha256":"bffc6e504c75300e23db20ef728914b4e64eede25a279b11ccbc36561fccfa20"},"schema_version":"1.0","source":{"id":"1107.5308","kind":"arxiv","version":2}},"canonical_sha256":"22d3c1eeb07997ab3bf1587cf8dc8fdccf187d2ca99783c4abc1876c136b329e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22d3c1eeb07997ab3bf1587cf8dc8fdccf187d2ca99783c4abc1876c136b329e","first_computed_at":"2026-05-18T04:07:07.767299Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:07.767299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"szJjHl2A2d8tfP/Illf96JT1Kr2FFyKH4LEq9WHlQnIH6MxXlnukThS1e/cNMmSF5BhNKKu+DuXXT86XrS1YBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:07.767784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5308","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18a0b0cc0099d227f01fefbd5003d46030cfe79d17faa78c898ff30a52fe9327","sha256:ca25eecdb1c64c264ce4da5d949a7b48f1306db33f4d1a2e15c2d60b2bb041a4"],"state_sha256":"463acffefed6fd2b20d7a37865ddd842f41946f18cb7c43bf00d34a7afebe111"}