{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MTYAWG2SG5WN56PPXCETARVEPK","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":"e59e467d491f0b81b45bad5abee7b0f8c14691706f9c11c77016bfccdc95b8f3","cross_cats_sorted":["cs.AI","cs.CC","cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-02-06T16:50:57Z","title_canon_sha256":"0fc2fae98952850b62b3b5f95e2b1c0824f7b4b214c6ea5f1a1822f49c79181d"},"schema_version":"1.0","source":{"id":"2502.04210","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.04210","created_at":"2026-07-05T10:36:35Z"},{"alias_kind":"arxiv_version","alias_value":"2502.04210v3","created_at":"2026-07-05T10:36:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04210","created_at":"2026-07-05T10:36:35Z"},{"alias_kind":"pith_short_12","alias_value":"MTYAWG2SG5WN","created_at":"2026-07-05T10:36:35Z"},{"alias_kind":"pith_short_16","alias_value":"MTYAWG2SG5WN56PP","created_at":"2026-07-05T10:36:35Z"},{"alias_kind":"pith_short_8","alias_value":"MTYAWG2S","created_at":"2026-07-05T10:36:35Z"}],"graph_snapshots":[{"event_id":"sha256:b211b9e67e87f9866d5be29b55442f87ef1422f3d382ad47d865026c6dc13615","target":"graph","created_at":"2026-07-05T10:36:35Z","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/2502.04210/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore the relationship between causality, symmetry, and compression. We build on and generalize the known connection between learning and compression to a setting where causal models are not identifiable. We propose a framework where causality emerges as a consequence of compressing data across multiple environments. We define algorithmic causality as an alternative definition of causality when traditional assumptions for causal identifiability do not hold. We demonstrate how algorithmic causal and symmetric structures can emerge from minimizing upper bounds on Kolmogorov complexity, with","authors_text":"Bernhard Sch\\\"olkopf, Liang Wendong, Simon Buchholz","cross_cats":["cs.AI","cs.CC","cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-02-06T16:50:57Z","title":"Algorithmic causal structure emerging through compression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04210","kind":"arxiv","version":3},"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":"sha256:92c97949dbf725d7c475d5ce1cd6f42c7e973195c97e816ebfa9d0e9dadaed96","target":"record","created_at":"2026-07-05T10:36:35Z","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":"e59e467d491f0b81b45bad5abee7b0f8c14691706f9c11c77016bfccdc95b8f3","cross_cats_sorted":["cs.AI","cs.CC","cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-02-06T16:50:57Z","title_canon_sha256":"0fc2fae98952850b62b3b5f95e2b1c0824f7b4b214c6ea5f1a1822f49c79181d"},"schema_version":"1.0","source":{"id":"2502.04210","kind":"arxiv","version":3}},"canonical_sha256":"64f00b1b52376cdef9efb8893046a47a856c139b2e3705751af24fb15d307704","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64f00b1b52376cdef9efb8893046a47a856c139b2e3705751af24fb15d307704","first_computed_at":"2026-07-05T10:36:35.650125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:36:35.650125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B0ErDlun7us3FhPBZ4PtH/4PyucuYuqA5rZ484h2/BXjjfoHuFsOBIhmj7mYU4NIARXfO92Io1HtYXBnf3AQBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:36:35.651153Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.04210","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92c97949dbf725d7c475d5ce1cd6f42c7e973195c97e816ebfa9d0e9dadaed96","sha256:b211b9e67e87f9866d5be29b55442f87ef1422f3d382ad47d865026c6dc13615"],"state_sha256":"ae309a31cad1d007213fdadf130d29d64f949d2cba65c105345f199ee82165d4"}