{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SEIZCP2AOK3PFX43ZCJTKWOW5O","short_pith_number":"pith:SEIZCP2A","schema_version":"1.0","canonical_sha256":"9111913f4072b6f2df9bc8933559d6eb9032e441b1a694e29d261b06a1ed1405","source":{"kind":"arxiv","id":"1706.02159","version":2},"attestation_state":"computed","paper":{"title":"Dimensional flow and fuzziness in quantum gravity: emergence of stochastic spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Gianluca Calcagni, Michele Ronco","submitted_at":"2017-06-06T04:59:18Z","abstract_excerpt":"We show that the uncertainty in distance and time measurements found by the heuristic combination of quantum mechanics and general relativity is reproduced in a purely classical and flat multi-fractal spacetime whose geometry changes with the probed scale (dimensional flow) and has non-zero imaginary dimension, corresponding to a discrete scale invariance at short distances. Thus, dimensional flow can manifest itself as an intrinsic measurement uncertainty and, conversely, measurement-uncertainty estimates are generally valid because they rely on this universal property of quantum geometries. "},"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":"1706.02159","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-06T04:59:18Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4e2d74d05cb409fb916417d5120a6c398de308ed376bcd2b18d29026ee199c46","abstract_canon_sha256":"9b36ff7416530c43b7b2f94c55c6e46cf645953601c976917d5e24c0df5344c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:37.094450Z","signature_b64":"drGMJ+KS+cdoo31oaG2ZwS4krwVJCFDAhxatpZPcg/IkkZ+nVQgHFfmjuOjIB4EnFcyf8LOIATyKlBhRi47sDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9111913f4072b6f2df9bc8933559d6eb9032e441b1a694e29d261b06a1ed1405","last_reissued_at":"2026-05-18T00:34:37.094026Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:37.094026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dimensional flow and fuzziness in quantum gravity: emergence of stochastic spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Gianluca Calcagni, Michele Ronco","submitted_at":"2017-06-06T04:59:18Z","abstract_excerpt":"We show that the uncertainty in distance and time measurements found by the heuristic combination of quantum mechanics and general relativity is reproduced in a purely classical and flat multi-fractal spacetime whose geometry changes with the probed scale (dimensional flow) and has non-zero imaginary dimension, corresponding to a discrete scale invariance at short distances. Thus, dimensional flow can manifest itself as an intrinsic measurement uncertainty and, conversely, measurement-uncertainty estimates are generally valid because they rely on this universal property of quantum geometries. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02159","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.02159","created_at":"2026-05-18T00:34:37.094089+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.02159v2","created_at":"2026-05-18T00:34:37.094089+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.02159","created_at":"2026-05-18T00:34:37.094089+00:00"},{"alias_kind":"pith_short_12","alias_value":"SEIZCP2AOK3P","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SEIZCP2AOK3PFX43","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SEIZCP2A","created_at":"2026-05-18T12:31:43.269735+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.03311","citing_title":"Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory","ref_index":48,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SEIZCP2AOK3PFX43ZCJTKWOW5O","json":"https://pith.science/pith/SEIZCP2AOK3PFX43ZCJTKWOW5O.json","graph_json":"https://pith.science/api/pith-number/SEIZCP2AOK3PFX43ZCJTKWOW5O/graph.json","events_json":"https://pith.science/api/pith-number/SEIZCP2AOK3PFX43ZCJTKWOW5O/events.json","paper":"https://pith.science/paper/SEIZCP2A"},"agent_actions":{"view_html":"https://pith.science/pith/SEIZCP2AOK3PFX43ZCJTKWOW5O","download_json":"https://pith.science/pith/SEIZCP2AOK3PFX43ZCJTKWOW5O.json","view_paper":"https://pith.science/paper/SEIZCP2A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.02159&json=true","fetch_graph":"https://pith.science/api/pith-number/SEIZCP2AOK3PFX43ZCJTKWOW5O/graph.json","fetch_events":"https://pith.science/api/pith-number/SEIZCP2AOK3PFX43ZCJTKWOW5O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SEIZCP2AOK3PFX43ZCJTKWOW5O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SEIZCP2AOK3PFX43ZCJTKWOW5O/action/storage_attestation","attest_author":"https://pith.science/pith/SEIZCP2AOK3PFX43ZCJTKWOW5O/action/author_attestation","sign_citation":"https://pith.science/pith/SEIZCP2AOK3PFX43ZCJTKWOW5O/action/citation_signature","submit_replication":"https://pith.science/pith/SEIZCP2AOK3PFX43ZCJTKWOW5O/action/replication_record"}},"created_at":"2026-05-18T00:34:37.094089+00:00","updated_at":"2026-05-18T00:34:37.094089+00:00"}