{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TWLI6LOV5PLMCE52LSJVPP7BVW","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":"ca61512a652d4f1895503894c9639124773c62a093ca75a0ca251f8bad377c68","cross_cats_sorted":["cs.AI","cs.AR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-15T17:51:50Z","title_canon_sha256":"1f152c0ba90f1f7e0647d3fa74615ee7bc9a114154c0b74f2f53264897ae9065"},"schema_version":"1.0","source":{"id":"2606.17028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.17028","created_at":"2026-07-24T00:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"2606.17028v2","created_at":"2026-07-24T00:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17028","created_at":"2026-07-24T00:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"TWLI6LOV5PLM","created_at":"2026-07-24T00:23:11Z"},{"alias_kind":"pith_short_16","alias_value":"TWLI6LOV5PLMCE52","created_at":"2026-07-24T00:23:11Z"},{"alias_kind":"pith_short_8","alias_value":"TWLI6LOV","created_at":"2026-07-24T00:23:11Z"}],"graph_snapshots":[{"event_id":"sha256:61fcadbdc349c741d9c9e03f2448c51f6ea051bfcd7238dac21265364aa63094","target":"graph","created_at":"2026-07-24T00:23:11Z","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/2606.17028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Simple linear and frequency-domain models remain surprisingly competitive in long-horizon time-series forecasting, and recent mechanistic evidence suggests that standard forecasting benchmarks may not require the dense superposed representations that make transformers powerful in other domains. This raises a substrate-level question: if the core forecasting operator is often low-complexity and approximately linear, does it need to be implemented as learned digital temporal mixing? We introduce HAMON, a passive diffractive optical forecasting core in which historical values are encoded onto an ","authors_text":"Alper Y{\\i}ld{\\i}r{\\i}m","cross_cats":["cs.AI","cs.AR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-15T17:51:50Z","title":"HAMON: Passive Optical Sequence Mixing for Long-Horizon Forecasting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17028","kind":"arxiv","version":2},"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":"sha256:67a751ce8d4f76976488c7d381aedd10c48e383af16c8c46ea190d05886cc432","target":"record","created_at":"2026-07-24T00:23:11Z","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":"ca61512a652d4f1895503894c9639124773c62a093ca75a0ca251f8bad377c68","cross_cats_sorted":["cs.AI","cs.AR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-15T17:51:50Z","title_canon_sha256":"1f152c0ba90f1f7e0647d3fa74615ee7bc9a114154c0b74f2f53264897ae9065"},"schema_version":"1.0","source":{"id":"2606.17028","kind":"arxiv","version":2}},"canonical_sha256":"9d968f2dd5ebd6c113ba5c9357bfe1adaaac2ee768ee8a4604cd82e447d29225","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d968f2dd5ebd6c113ba5c9357bfe1adaaac2ee768ee8a4604cd82e447d29225","first_computed_at":"2026-07-24T00:23:11.325139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-24T00:23:11.325139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vF+syb6ivLsxagLo0kDQFoQcYiPyp/Lx+g910GL/nARQpIdy5uQfdvmRRm5gXgHdSADMLjEn+pEX00qib9vyAA==","signature_status":"signed_v1","signed_at":"2026-07-24T00:23:11.326073Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.17028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67a751ce8d4f76976488c7d381aedd10c48e383af16c8c46ea190d05886cc432","sha256:61fcadbdc349c741d9c9e03f2448c51f6ea051bfcd7238dac21265364aa63094"],"state_sha256":"62517ce6f3add8cd23badf38bfd0101a037ec9796815c175f2ac3dbad62d099b"}