{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:X7QCIZFUZE7P2C5VX2CCFMZLBM","short_pith_number":"pith:X7QCIZFU","canonical_record":{"source":{"id":"2607.16717","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-07-18T09:13:17Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"0965fb26ce098e84806e726ba332ab405fe786746b2330eb0a564cde145db75b","abstract_canon_sha256":"f6922f9308cae3381a97d76b893790316a8b3b139c69836340d89550968b16bb"},"schema_version":"1.0"},"canonical_sha256":"bfe02464b4c93efd0bb5be8422b32b0b29165ed7474cdd31fb4497f86c58021d","source":{"kind":"arxiv","id":"2607.16717","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16717","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16717v1","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16717","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"pith_short_12","alias_value":"X7QCIZFUZE7P","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"pith_short_16","alias_value":"X7QCIZFUZE7P2C5V","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"pith_short_8","alias_value":"X7QCIZFU","created_at":"2026-07-21T01:20:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:X7QCIZFUZE7P2C5VX2CCFMZLBM","target":"record","payload":{"canonical_record":{"source":{"id":"2607.16717","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-07-18T09:13:17Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"0965fb26ce098e84806e726ba332ab405fe786746b2330eb0a564cde145db75b","abstract_canon_sha256":"f6922f9308cae3381a97d76b893790316a8b3b139c69836340d89550968b16bb"},"schema_version":"1.0"},"canonical_sha256":"bfe02464b4c93efd0bb5be8422b32b0b29165ed7474cdd31fb4497f86c58021d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T01:20:23.448981Z","signature_b64":"rLUNh/kmNkuKRMvCP1AQVpCE440T/zvjpuXcFwZkdtonQXisXnbxAJKP28Ddu/780uZVa+rltsSo8lqqH+UQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfe02464b4c93efd0bb5be8422b32b0b29165ed7474cdd31fb4497f86c58021d","last_reissued_at":"2026-07-21T01:20:23.448155Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T01:20:23.448155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.16717","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-21T01:20:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rjN/UZLkbhFz1/xvQoAc6q0vPg/TgcISrjYJZIuRQ1gC6l3vuRWsoPKW5nsFR9pel2M7TDXTtFAAsPx6acDUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:05:35.692827Z"},"content_sha256":"2da97e962448669f746f5a155a7ffbb8ab51d33693d6148399316fd5f27e5503","schema_version":"1.0","event_id":"sha256:2da97e962448669f746f5a155a7ffbb8ab51d33693d6148399316fd5f27e5503"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:X7QCIZFUZE7P2C5VX2CCFMZLBM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Causal Markov Condition for Value","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"stat.ML","authors_text":"Olav Benjamin Vassend","submitted_at":"2026-07-18T09:13:17Z","abstract_excerpt":"This paper proposes a causal independence principle for value -- the value Causal Markov Condition (v-CMC) -- and develops the conceptual and mathematical foundations of a \"causal value theory\" linking causality and utility. After motivating a local formulation of the v-CMC, we introduce a probability-value duality that translates standard causal-inference results into the value setting. In particular, we formulate local, global, and decomposition versions of the v-CMC and prove their equivalence. We also define v-separation and show that it is sound and complete for conditional value independ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16717","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.16717/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-21T01:20:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6j206qIqIj1LmQn7S5LOnMlN/M984wzXTzns7upiVuFCd83nVigsTqSvLdQ7boq+7q33Tc3p84gVTa18ife8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:05:35.693581Z"},"content_sha256":"20a9ba21a2d21f3090c6bf84b85491a780201cd54e9f6a7e09248ce2ee0149e2","schema_version":"1.0","event_id":"sha256:20a9ba21a2d21f3090c6bf84b85491a780201cd54e9f6a7e09248ce2ee0149e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X7QCIZFUZE7P2C5VX2CCFMZLBM/bundle.json","state_url":"https://pith.science/pith/X7QCIZFUZE7P2C5VX2CCFMZLBM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X7QCIZFUZE7P2C5VX2CCFMZLBM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T21:05:35Z","links":{"resolver":"https://pith.science/pith/X7QCIZFUZE7P2C5VX2CCFMZLBM","bundle":"https://pith.science/pith/X7QCIZFUZE7P2C5VX2CCFMZLBM/bundle.json","state":"https://pith.science/pith/X7QCIZFUZE7P2C5VX2CCFMZLBM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X7QCIZFUZE7P2C5VX2CCFMZLBM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:X7QCIZFUZE7P2C5VX2CCFMZLBM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f6922f9308cae3381a97d76b893790316a8b3b139c69836340d89550968b16bb","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-07-18T09:13:17Z","title_canon_sha256":"0965fb26ce098e84806e726ba332ab405fe786746b2330eb0a564cde145db75b"},"schema_version":"1.0","source":{"id":"2607.16717","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16717","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16717v1","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16717","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"pith_short_12","alias_value":"X7QCIZFUZE7P","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"pith_short_16","alias_value":"X7QCIZFUZE7P2C5V","created_at":"2026-07-21T01:20:23Z"},{"alias_kind":"pith_short_8","alias_value":"X7QCIZFU","created_at":"2026-07-21T01:20:23Z"}],"graph_snapshots":[{"event_id":"sha256:20a9ba21a2d21f3090c6bf84b85491a780201cd54e9f6a7e09248ce2ee0149e2","target":"graph","created_at":"2026-07-21T01:20:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.16717/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes a causal independence principle for value -- the value Causal Markov Condition (v-CMC) -- and develops the conceptual and mathematical foundations of a \"causal value theory\" linking causality and utility. After motivating a local formulation of the v-CMC, we introduce a probability-value duality that translates standard causal-inference results into the value setting. In particular, we formulate local, global, and decomposition versions of the v-CMC and prove their equivalence. We also define v-separation and show that it is sound and complete for conditional value independ","authors_text":"Olav Benjamin Vassend","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-07-18T09:13:17Z","title":"A Causal Markov Condition for Value"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16717","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2da97e962448669f746f5a155a7ffbb8ab51d33693d6148399316fd5f27e5503","target":"record","created_at":"2026-07-21T01:20:23Z","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":"f6922f9308cae3381a97d76b893790316a8b3b139c69836340d89550968b16bb","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-07-18T09:13:17Z","title_canon_sha256":"0965fb26ce098e84806e726ba332ab405fe786746b2330eb0a564cde145db75b"},"schema_version":"1.0","source":{"id":"2607.16717","kind":"arxiv","version":1}},"canonical_sha256":"bfe02464b4c93efd0bb5be8422b32b0b29165ed7474cdd31fb4497f86c58021d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfe02464b4c93efd0bb5be8422b32b0b29165ed7474cdd31fb4497f86c58021d","first_computed_at":"2026-07-21T01:20:23.448155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:20:23.448155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rLUNh/kmNkuKRMvCP1AQVpCE440T/zvjpuXcFwZkdtonQXisXnbxAJKP28Ddu/780uZVa+rltsSo8lqqH+UQDQ==","signature_status":"signed_v1","signed_at":"2026-07-21T01:20:23.448981Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.16717","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2da97e962448669f746f5a155a7ffbb8ab51d33693d6148399316fd5f27e5503","sha256:20a9ba21a2d21f3090c6bf84b85491a780201cd54e9f6a7e09248ce2ee0149e2"],"state_sha256":"a08147dc873905635fa664301ff8ed93baa97863eeefa3140c204c03f020f1fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xDc8sKz6Nx9Epf0rrMd+a2FkP282sMZHRkfYesouZypkZkgUWfr4puqERSwWCeit4IWiJwR9rLkmItYmLxy1Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T21:05:35.700375Z","bundle_sha256":"36c3b3ac4c81fd64463e4b360ba4460f8379ecb61a8f42bda4e3a61a753ccc64"}}