{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5Q46D4WTZNQOLUWFEVL7QZPSQO","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":"5583bfcb686fd2eb48d569ea455a3e0ceadc3bf76520bd1dd592fc8023eb5f8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-30T12:07:56Z","title_canon_sha256":"f54f4e0a2884cbb19388810ddf088de46cf671653ba0df43e8b34473e1f79fe6"},"schema_version":"1.0","source":{"id":"2607.28097","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.28097","created_at":"2026-07-31T01:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"2607.28097v1","created_at":"2026-07-31T01:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.28097","created_at":"2026-07-31T01:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"5Q46D4WTZNQO","created_at":"2026-07-31T01:35:44Z"},{"alias_kind":"pith_short_16","alias_value":"5Q46D4WTZNQOLUWF","created_at":"2026-07-31T01:35:44Z"},{"alias_kind":"pith_short_8","alias_value":"5Q46D4WT","created_at":"2026-07-31T01:35:44Z"}],"graph_snapshots":[{"event_id":"sha256:05e3c1c682e5f855ff17ff345d3c8fffd8b60dad03a57931595a7601108e5795","target":"graph","created_at":"2026-07-31T01:35:44Z","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/2607.28097/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Mathematically equivalent expert-reduction orders can produce observably different sparse-MoE executions. We isolate this effect in native DeepSeek-V4-Flash by freezing local MoE state and varying only aggregation semantics. Four schemes separate operand representation from accumulator precision. At one layer-5 fork, 720 A-mode orders yield 10 continuation basins; 720 B-mode orders form 360 exact structural classes and 11 basins. Under one Chinese prompt, the B classes split into 202 layoffs, 113 hiring, and 45 other continuations. Maximum-L-infinity B-branch selection separates 12, 24, and 36","authors_text":"Tianyang Zhu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-30T12:07:56Z","title":"From Expert Reduction to Behavioral Divergence: Tracing Numerical State through Sparse MoE Inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.28097","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":"sha256:4c74e38187aad5644d4bc9af4f00ebab5aa820c8a68ab3f14b3c47e557e5422b","target":"record","created_at":"2026-07-31T01:35:44Z","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":"5583bfcb686fd2eb48d569ea455a3e0ceadc3bf76520bd1dd592fc8023eb5f8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-30T12:07:56Z","title_canon_sha256":"f54f4e0a2884cbb19388810ddf088de46cf671653ba0df43e8b34473e1f79fe6"},"schema_version":"1.0","source":{"id":"2607.28097","kind":"arxiv","version":1}},"canonical_sha256":"ec39e1f2d3cb60e5d2c52557f865f283a9d4c683110cbff4e1892e2b8fb15997","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec39e1f2d3cb60e5d2c52557f865f283a9d4c683110cbff4e1892e2b8fb15997","first_computed_at":"2026-07-31T01:35:44.802061Z","kind":"pith_receipt","last_reissued_at":"2026-07-31T01:35:44.802061Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2607.28097","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c74e38187aad5644d4bc9af4f00ebab5aa820c8a68ab3f14b3c47e557e5422b","sha256:05e3c1c682e5f855ff17ff345d3c8fffd8b60dad03a57931595a7601108e5795"],"state_sha256":"fb92cd7dad60793ab7792c6f6ff319ee4dbb449e8e3534bd7dd88105ddfbe71f"}