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Applying the same finite-size scaling analysis, their fractal dimensions are consistent with that of o","work_id":"a4e4257c-a971-4827-bbb2-dd31ccb3fff1","year":null}],"snapshot_sha256":"1cfec20b8b08470111cb62a8eaf4cc52973d152f6e8cfa36dc76b00d577f0499"},"source":{"id":"2605.16987","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T19:25:25.827828Z","id":"ea6a076b-0580-4dc1-805a-45dc33bc5260","model_set":{"reader":"grok-4.3"},"one_line_summary":"Simulations show critical strongly connected clusters remain fractal objects with dimension-dependent scaling: hyperscaling below d=6, mean-field above, and double power-law scaling on complete graphs.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Critical strongly connected clusters in directed percolation remain fractal across all dimensions with a change at six.","strongest_claim":"These results show that critical SCCs remain well-defined fractal objects across dimensions, while their approach to the mean-field limit involves nontrivial changes in cluster statistics.","weakest_assumption":"The simulations correctly locate the percolation transition and extract fractal dimensions and size-distribution exponents without dominant finite-size or sampling artifacts that would alter the reported scaling relations."}},"verdict_id":"ea6a076b-0580-4dc1-805a-45dc33bc5260"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:517dc01019963ed792099f533ba6ec85ea09c33d584587d01f31cc55bab24944","target":"record","created_at":"2026-05-20T00:03:34Z","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":"00c1a78fa01d72f88565f58334740eab9f6118f89a114fb5685e3077b5f27882","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-16T13:14:40Z","title_canon_sha256":"3d8f2359a0e95d76ac1f9528aca037b980c1c04172afc0a7696abd4cbbf427a2"},"schema_version":"1.0","source":{"id":"2605.16987","kind":"arxiv","version":1}},"canonical_sha256":"88461305517a85235bba70ee657616f73e23fb5771b5cedcff0620ea61331b0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88461305517a85235bba70ee657616f73e23fb5771b5cedcff0620ea61331b0c","first_computed_at":"2026-05-20T00:03:34.571787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:34.571787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+54ZFtXdIbOlQtru4ufaETf2WnV9YEvnfpsD9WjPTBTeLfrL+7XxpUyb6ZFyBf90llRoopgv1YD3AX53c+ZIBw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:34.572471Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.16987","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:517dc01019963ed792099f533ba6ec85ea09c33d584587d01f31cc55bab24944","sha256:c3dc01f5f10fa8ee8212869ad9e7b64ad68d01837da841bc414deda798923fde"],"state_sha256":"a5aa277c988dcc25b975a70b7b1595b2899a8d0bef546d1f099ecc93b115dbd8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rc9FSBMgUKObsOC1XQUXmE4TxU5NIlfBosA28m9gJSEaiBxy3vmaOME3TaqWOfbWUME7siVnUfKGvNF59NXDCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:13:03.177762Z","bundle_sha256":"35505a1eb806e5304f5471a2de26bb2911d215237249426793d4293e38e1b567"}}