{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RFTDFHOTVU5Q66AH3JKOI2ZCX4","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":"3a2155d654a98fa26853d1d9f5f5a9ebc38d92c3341d3f515ff25f09828e0f22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AR","submitted_at":"2026-06-08T16:13:44Z","title_canon_sha256":"2a5a623cb176b53c3764ffd46394ed801cc17d6de4cd7d75410d2012c0bcf5b4"},"schema_version":"1.0","source":{"id":"2606.09965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.09965","created_at":"2026-06-10T00:08:35Z"},{"alias_kind":"arxiv_version","alias_value":"2606.09965v1","created_at":"2026-06-10T00:08:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.09965","created_at":"2026-06-10T00:08:35Z"},{"alias_kind":"pith_short_12","alias_value":"RFTDFHOTVU5Q","created_at":"2026-06-10T00:08:35Z"},{"alias_kind":"pith_short_16","alias_value":"RFTDFHOTVU5Q66AH","created_at":"2026-06-10T00:08:35Z"},{"alias_kind":"pith_short_8","alias_value":"RFTDFHOT","created_at":"2026-06-10T00:08:35Z"}],"graph_snapshots":[{"event_id":"sha256:7d01f1d1ea4df674e761422ad5f273f3877d6dc74e5fd24dde8da80697b4cea9","target":"graph","created_at":"2026-06-10T00:08:35Z","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/2606.09965/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modular multiplication is a fundamental arithmetic primitive in Residue Number Systems (RNS) and is often the dominant source of delay, area, and energy consumption in RNS datapaths used in cryptography, signal processing, and machine-learning accelerators. Recent work introduced a twit-based residue representation for moduli of the form $2^n \\pm \\delta$, with $0 \\le \\delta \\le 2^{n-1}-1$, and showed that it enables efficient generic modular addition and subtraction across the full admissible $\\delta$ range. However, an efficient modular multiplier compatible with the same representation has r","authors_text":"Amirhossein Sadr, Behzad Salami, Dara Rahmati, Saeid Gorgin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AR","submitted_at":"2026-06-08T16:13:44Z","title":"A Generic Modulo-$(2^n\\pm\\delta)$ RNS Multiplier Based on Twit Representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09965","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":"sha256:1c084c047e7f1e439077369fd87361a3e563856b6f27f96ed05b200f8f672ce6","target":"record","created_at":"2026-06-10T00:08:35Z","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":"3a2155d654a98fa26853d1d9f5f5a9ebc38d92c3341d3f515ff25f09828e0f22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AR","submitted_at":"2026-06-08T16:13:44Z","title_canon_sha256":"2a5a623cb176b53c3764ffd46394ed801cc17d6de4cd7d75410d2012c0bcf5b4"},"schema_version":"1.0","source":{"id":"2606.09965","kind":"arxiv","version":1}},"canonical_sha256":"8966329dd3ad3b0f7807da54e46b22bf35889c6b3ce81f74646f79c9e03c2bc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8966329dd3ad3b0f7807da54e46b22bf35889c6b3ce81f74646f79c9e03c2bc8","first_computed_at":"2026-06-10T00:08:35.373555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T00:08:35.373555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mZutMTjiEEaIdKVYRJU0+bsgkEeFlIxqzt2Suue0hDvbE9JLm5iX41+J3DmGzEuMBH5gguXy1XtZWMRbM4iEAA==","signature_status":"signed_v1","signed_at":"2026-06-10T00:08:35.374425Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.09965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c084c047e7f1e439077369fd87361a3e563856b6f27f96ed05b200f8f672ce6","sha256:7d01f1d1ea4df674e761422ad5f273f3877d6dc74e5fd24dde8da80697b4cea9"],"state_sha256":"68ea8653982d2fda45dd1b038cbc9fff2e834b88530c4f6932d27f5f5093034f"}