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This identifies liability clearing as a finite-limit construction in the ambient data category.","weakest_assumption":"That a decorated liability network can be represented as a directed hypergraph whose hyperedges separate payment distribution from receipt collection, and that the coefficient category admits finite limits together with constraint subobjects compatible with a finite-limit-preserving functor."}},"verdict_id":"ff6cfdc6-7a51-4902-b622-d477f74f57a2"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0935635d3a91e11901cf493f2d26e97dbd65382a30db22fe90e9331337ba277c","target":"record","created_at":"2026-05-20T00:01:17Z","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":"a2bd2b9798fbce180b42f324ee88a0b2f76a3a6bb0dc4e0266629a213e8f0737","cross_cats_sorted":["math.CT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.MF","submitted_at":"2026-05-15T09:36:25Z","title_canon_sha256":"ec9530d7b19daae79cbf90f806608d3be969ae10863b15c67e0784c42f417d0a"},"schema_version":"1.0","source":{"id":"2605.15778","kind":"arxiv","version":1}},"canonical_sha256":"67233144d2c3c8f0cc090a400d6fc341b1a40826774009eb318d304c09b18e0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67233144d2c3c8f0cc090a400d6fc341b1a40826774009eb318d304c09b18e0c","first_computed_at":"2026-05-20T00:01:17.843836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:17.843836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AdWIcbo2PMGidsWdOJsv8UR7Ek0theOWz8aSX9nYCim2Q9dV8grjOxVLj6GRshH27Q+4D4cT8QM/Pth/h50TAw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:17.844596Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15778","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0935635d3a91e11901cf493f2d26e97dbd65382a30db22fe90e9331337ba277c","sha256:dc158df7f933cfd2ea24d8fffafdaeac5387eea44d127a0ddd21de4af062b44a"],"state_sha256":"4064ba7aa155f671f40f425926a16227b7cc70de2235432c3aadefbebda53822"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l5Mgql/9RZw3C6cuj1h6y4ZBGURSrY7nxvIu8/565AmZpeKLSE/FzNh9libYjwiW0NCupAJ4A0iqhz+/TUtUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T04:41:20.296418Z","bundle_sha256":"16772f870f85cbcc561bf7d07298e7200584ca2d8667751bb85b129d37c1c373"}}