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For a Poisson flow $T$, a subgroup $I_{\\text{Po}}(T)\\subset I(T)$ of Poissonian self-similarities is introduced. Given a probability measure $\\kappa$ on $\\Bbb R^*_+$, a zero-entropy Poisson flow $T$ is constructed such that $I_{\\text{Po}}(T)$ is the group of $\\kappa$-quasi-invariance."},"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":"1108.2496","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-11T19:34:24Z","cross_cats_sorted":[],"title_canon_sha256":"2f0a78609668a7446170a079053744ddf4314b8dd26d897ec7a1f762401c280f","abstract_canon_sha256":"59fa01b389c83072ad4535383e60c9de377f2d46f4df04cf3ff32f0dda826414"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:07.401664Z","signature_b64":"yqHty9ERKcPI8hnO2xiuCv7a6maMSdH8slIkT4HDWV/S6rFv9wn6WCSO1q50gpwPDV+tU1G/hdV1Dlw/QpkMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acd2edb4382f486af77ff001acaaebded170850fa769984e9607eeb470734036","last_reissued_at":"2026-05-18T04:14:07.401191Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:07.401191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Flows with uncountable but meager group of self-similarities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alexandre I. 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