Pith Number

pith:HH6MRAPL

pith:2026:HH6MRAPLHICKZBGPUDT3AWFQEE

not attested not anchored not stored refs pending

Memory-Efficient Looped Transformer: Decoupling Compute from Memory in Looped Language Models

Arash Behboodi, Arnau Padres Masdemont, Fabio Valerio Massoli, Jordi Ros-Giralt, Niccol\`o Grillo, Victor Conchello Vendrell

MELT shares one KV cache per layer across all reasoning loops and updates it with a learnable gate to keep memory constant.

arxiv:2605.07721 v2 · 2026-05-08 · cs.CL · cs.AI · cs.LG

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\usepackage{pith}
\pithnumber{HH6MRAPLHICKZBGPUDT3AWFQEE}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

MELT achieves constant-memory iterative reasoning without sacrificing LoopLM performance, using only a lightweight post-training procedure.

C2weakest assumption

The learnable gating mechanism and the two-phase chunk-wise training (interpolated transition followed by attention-aligned distillation) are sufficient to preserve the original reasoning capabilities of the LoopLM starting model without degradation.

C3one line summary

MELT decouples reasoning depth from memory in looped LLMs by sharing a single gated KV cache per layer and using two-phase chunk-wise distillation from Ouro, delivering constant memory use while matching or beating standard LLM performance.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T01:05:15.801090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39fcc881eb3a04ac84cfa0e7b058b0211bfd53c6382cb41edc465cc19e5705ba

Aliases

arxiv: 2605.07721 · arxiv_version: 2605.07721v2 · doi: 10.48550/arxiv.2605.07721 · pith_short_12: HH6MRAPLHICK · pith_short_16: HH6MRAPLHICKZBGP · pith_short_8: HH6MRAPL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HH6MRAPLHICKZBGPUDT3AWFQEE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 39fcc881eb3a04ac84cfa0e7b058b0211bfd53c6382cb41edc465cc19e5705ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d4a91d69446c6fc830e95b77703f53d4f713f6c9db7e29ac824898a7289f052",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-05-08T13:25:27Z",
    "title_canon_sha256": "96809772eaa38e3a400b81c44488c05ef57c87596756afeaa488b347b1a97941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.07721",
    "kind": "arxiv",
    "version": 2
  }
}