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Using the solutions of these equations, obtained by perturbative method, we calculate the spectral dimension for different choices of the generalized Laplacian and analyse the dimensional flow in"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1504.07773","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-29T08:55:33Z","cross_cats_sorted":[],"title_canon_sha256":"8d6d2313039fe87582d5922705e8ef3a370386833a7e6150e97e68b9f9507243","abstract_canon_sha256":"96d9c2348ac2da3e09e0a9c5f305d3b30afa9ffff28c4b0976d85d75fcebcadf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:10.215587Z","signature_b64":"LAgdjdmabr/CMPRzsgR2tiEC8ZApK0yS2PH6bThUDeidzvAWuLF06bk5i1q4pm2yPAOEexX3pBqLr3A9YFocBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b4859fc6528e912d05746d8970d6770b7b57ff893205b5a83e2a598dbbf787f","last_reissued_at":"2026-05-18T01:35:10.214893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:10.214893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dimensional flow in the kappa-deformed space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anjana V., E. 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