{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NR537XOW2ZQ6W5DKDF3UNUAANT","short_pith_number":"pith:NR537XOW","canonical_record":{"source":{"id":"2607.16237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T21:44:54Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"03c2166abc2f742de10f6b9b61dbe23c16eb4d9dffe1e9601ca74733bd3942f6","abstract_canon_sha256":"2bf42a6b004b682a2879a1be1b1ea841bf41fbec6ea9be359ff486b32bbd06a4"},"schema_version":"1.0"},"canonical_sha256":"6c7bbfddd6d661eb746a197746d0006cfc87ab898e685c679dc906b8f22cfd69","source":{"kind":"arxiv","id":"2607.16237","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16237","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16237v1","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16237","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"pith_short_12","alias_value":"NR537XOW2ZQ6","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"pith_short_16","alias_value":"NR537XOW2ZQ6W5DK","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"pith_short_8","alias_value":"NR537XOW","created_at":"2026-07-21T00:20:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NR537XOW2ZQ6W5DKDF3UNUAANT","target":"record","payload":{"canonical_record":{"source":{"id":"2607.16237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T21:44:54Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"03c2166abc2f742de10f6b9b61dbe23c16eb4d9dffe1e9601ca74733bd3942f6","abstract_canon_sha256":"2bf42a6b004b682a2879a1be1b1ea841bf41fbec6ea9be359ff486b32bbd06a4"},"schema_version":"1.0"},"canonical_sha256":"6c7bbfddd6d661eb746a197746d0006cfc87ab898e685c679dc906b8f22cfd69","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T00:20:07.349617Z","signature_b64":"W3Hmu+Lc1ytSk86w31FTYQfL7ufm+o6Os9+U6JoBKgna1EvS9tthITMsPZ+0X59qMisqc0S68bz9dyZPArRaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c7bbfddd6d661eb746a197746d0006cfc87ab898e685c679dc906b8f22cfd69","last_reissued_at":"2026-07-21T00:20:07.348745Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T00:20:07.348745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.16237","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":"2026-07-21T00:20:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U7Gf76kU/vSs4RrIYFZoiMUWsqEw2NACAOPychcIH/cCEcLEH6TDnBdQXavV4CYl+wUbh6Uo8CKwXNHGP8UFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:30:34.620388Z"},"content_sha256":"21c0b68286c8e4f859140edae0d6b707402dcecdd8f5244b5f2ba9a39324d64d","schema_version":"1.0","event_id":"sha256:21c0b68286c8e4f859140edae0d6b707402dcecdd8f5244b5f2ba9a39324d64d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NR537XOW2ZQ6W5DKDF3UNUAANT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantizing Recursive Reasoning Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Anna Tegon, Gamze \\.Islamo\\u{g}lu, Lionnus Kesting, Luca Benini, Thorir Mar Ingolfsson, Wajeeha Tahir","submitted_at":"2026-06-25T21:44:54Z","abstract_excerpt":"Recursive reasoning models solve hard puzzles by applying compact, weight-tied blocks over many refinement steps. Because these blocks are reused many times, quantizing them creates a unique dynamical problem: the quantization error is incurred at every step. While 8-bit quantization (integer or float) preserves accuracy, moving to a per-tensor 4-bit format causes a systematic bias to accumulate. The ensuing drift catastrophically degrades exact-solution accuracy on Sudoku from 84.1% to 0.0% (only ~25% of cells correct). In this work, we show that this collapse is caused by activation-scaling "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16237","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/2607.16237/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":"2026-07-21T00:20:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6OQlQZ+2qt1U0oHHEujFlyQiz88FLWjbQQMmnrzu2GYBLoy8LN52t+jNObBzD3/k3pvk/DtzlRx/BMY5yORGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:30:34.620976Z"},"content_sha256":"e7d8555e7f192c3771b42900f8a85c98cc8813fc7b4a9f49a4f572a3c117d498","schema_version":"1.0","event_id":"sha256:e7d8555e7f192c3771b42900f8a85c98cc8813fc7b4a9f49a4f572a3c117d498"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NR537XOW2ZQ6W5DKDF3UNUAANT/bundle.json","state_url":"https://pith.science/pith/NR537XOW2ZQ6W5DKDF3UNUAANT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NR537XOW2ZQ6W5DKDF3UNUAANT/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":"2026-08-05T01:30:34Z","links":{"resolver":"https://pith.science/pith/NR537XOW2ZQ6W5DKDF3UNUAANT","bundle":"https://pith.science/pith/NR537XOW2ZQ6W5DKDF3UNUAANT/bundle.json","state":"https://pith.science/pith/NR537XOW2ZQ6W5DKDF3UNUAANT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NR537XOW2ZQ6W5DKDF3UNUAANT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NR537XOW2ZQ6W5DKDF3UNUAANT","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":"2bf42a6b004b682a2879a1be1b1ea841bf41fbec6ea9be359ff486b32bbd06a4","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T21:44:54Z","title_canon_sha256":"03c2166abc2f742de10f6b9b61dbe23c16eb4d9dffe1e9601ca74733bd3942f6"},"schema_version":"1.0","source":{"id":"2607.16237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16237","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16237v1","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16237","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"pith_short_12","alias_value":"NR537XOW2ZQ6","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"pith_short_16","alias_value":"NR537XOW2ZQ6W5DK","created_at":"2026-07-21T00:20:07Z"},{"alias_kind":"pith_short_8","alias_value":"NR537XOW","created_at":"2026-07-21T00:20:07Z"}],"graph_snapshots":[{"event_id":"sha256:e7d8555e7f192c3771b42900f8a85c98cc8813fc7b4a9f49a4f572a3c117d498","target":"graph","created_at":"2026-07-21T00:20:07Z","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/2607.16237/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recursive reasoning models solve hard puzzles by applying compact, weight-tied blocks over many refinement steps. Because these blocks are reused many times, quantizing them creates a unique dynamical problem: the quantization error is incurred at every step. While 8-bit quantization (integer or float) preserves accuracy, moving to a per-tensor 4-bit format causes a systematic bias to accumulate. The ensuing drift catastrophically degrades exact-solution accuracy on Sudoku from 84.1% to 0.0% (only ~25% of cells correct). In this work, we show that this collapse is caused by activation-scaling ","authors_text":"Anna Tegon, Gamze \\.Islamo\\u{g}lu, Lionnus Kesting, Luca Benini, Thorir Mar Ingolfsson, Wajeeha Tahir","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T21:44:54Z","title":"Quantizing Recursive Reasoning Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16237","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":"sha256:21c0b68286c8e4f859140edae0d6b707402dcecdd8f5244b5f2ba9a39324d64d","target":"record","created_at":"2026-07-21T00:20:07Z","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":"2bf42a6b004b682a2879a1be1b1ea841bf41fbec6ea9be359ff486b32bbd06a4","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T21:44:54Z","title_canon_sha256":"03c2166abc2f742de10f6b9b61dbe23c16eb4d9dffe1e9601ca74733bd3942f6"},"schema_version":"1.0","source":{"id":"2607.16237","kind":"arxiv","version":1}},"canonical_sha256":"6c7bbfddd6d661eb746a197746d0006cfc87ab898e685c679dc906b8f22cfd69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c7bbfddd6d661eb746a197746d0006cfc87ab898e685c679dc906b8f22cfd69","first_computed_at":"2026-07-21T00:20:07.348745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T00:20:07.348745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W3Hmu+Lc1ytSk86w31FTYQfL7ufm+o6Os9+U6JoBKgna1EvS9tthITMsPZ+0X59qMisqc0S68bz9dyZPArRaAg==","signature_status":"signed_v1","signed_at":"2026-07-21T00:20:07.349617Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.16237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21c0b68286c8e4f859140edae0d6b707402dcecdd8f5244b5f2ba9a39324d64d","sha256:e7d8555e7f192c3771b42900f8a85c98cc8813fc7b4a9f49a4f572a3c117d498"],"state_sha256":"30991fda2d25a7e16e178c5e3867ce002f9d88bc5c9d26f80507d8035fbcad60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"88JErpMedtkYAV0uvmdol193bmqqqYbs86yQL3IEyQtSq1SKj4jaosMwYOC9HTbZaTcyDnHkco7veFiPpPCOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T01:30:34.691000Z","bundle_sha256":"96e79815d763463a3845644dee34a5ae00bccb2186e19be978a93f76b836d56e"}}