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Given a group $A$, we seek conditions on a graph $G$ such that all $A$-flows on $G$ are pairwise $A$-flow-equivalent; in this case, we say that $G$ is \\emph{$A$-flow-co"},"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":"2606.24685","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-06-23T15:13:41Z","cross_cats_sorted":[],"title_canon_sha256":"9eb4f215932350b5e7e84af028451de21307434d5c6ab5803c40beba519be4f9","abstract_canon_sha256":"aafe4b61454566c96b3c3f43c1e97e102ac65e166d3cb78dfa9874a8b5dc9b02"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:15:39.196062Z","signature_b64":"9BFWGQWYRmyqAVloGdIpLsD+dgqTDcRrNvJK8Wix/pcLiJG1agENWEN/iPz3goJfl1/edTYOiDjBj0soyjw/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb96c1d9c9f4d67b5e47e60d95ce8b7ed9011f80b07cad53a8a2f43a8ab2fde0","last_reissued_at":"2026-06-24T01:15:39.195675Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:15:39.195675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reconfiguration of Nowhere-zero Flows","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Bo Su, Daniel W. 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