Pith Number

pith:HSPOK5VN

pith:2026:HSPOK5VN2LCBPFIJXBTSX45JCR

not attested not anchored not stored refs pending

Graph Memory Transformer (GMT)

Niccol\`o Ferrari, Nicola Zanarini

A learned graph of memory centroids can replace the feed-forward sublayer in a decoder-only transformer.

arxiv:2604.23862 v2 · 2026-04-26 · cs.LG · cs.AI · cs.CL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSPOK5VN2LCBPFIJXBTSX45JCR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

The base GMT v7 model trains stably and exposes centroid usage, transition structure, and source-to-target movement as directly inspectable quantities of the forward computation. It remains behind the larger dense baseline in validation loss and perplexity (3.5995/36.58 vs. 3.2903/26.85), while showing close zero-shot benchmark behavior under the evaluated setting.

C2weakest assumption

That gravitational source routing plus token-conditioned target selection plus gated displacement readout can functionally substitute for the dense FFN transformation without requiring additional capacity or architectural changes outside the memory cell itself.

C3one line summary

Graph Memory Transformer (GMT) swaps dense FFN sublayers for a graph of 128 centroids and a learned 128x128 transition matrix per block, yielding a 82M-parameter decoder-only LM that trains stably but trails a 103M dense baseline in perplexity.

Receipt and verification

First computed	2026-05-28T02:04:48.216382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9ee576add2c4179509b8672bf3a9145e2eddb17055a71cf5a98061cacbf45a

Aliases

arxiv: 2604.23862 · arxiv_version: 2604.23862v2 · doi: 10.48550/arxiv.2604.23862 · pith_short_12: HSPOK5VN2LCB · pith_short_16: HSPOK5VN2LCBPFIJ · pith_short_8: HSPOK5VN

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/HSPOK5VN2LCBPFIJXBTSX45JCR \
  | 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: 3c9ee576add2c4179509b8672bf3a9145e2eddb17055a71cf5a98061cacbf45a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ae36e7fb6ac610402f580714ab826f9c81da91cb3e88afd7dafb4f274cd42c",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-04-26T20:09:25Z",
    "title_canon_sha256": "c974ccea7fca6e2627f929eb263e0832b8eda1dd2c6feaf1cae9d80dc56ee91e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.23862",
    "kind": "arxiv",
    "version": 2
  }
}