Pith Number

pith:6HVTL643

pith:2026:6HVTL643W2BUKST5IMPP6QW6WE

not attested not anchored not stored refs pending

A Compositional Theory of Causally Masked Transformers

Franz Nowak, Reda Boumasmoud, Ryan Cotterell

arxiv:2607.26988 v1 · 2026-07-29 · cs.FL · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HVTL643W2BUKST5IMPP6QW6WE}

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.

Receipt and verification

First computed	2026-07-30T01:23:15.745648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

f1eb35fb9bb683454a7d431eff42deb12aa6f7edf8798594f5274901ae4a9e89

Aliases

arxiv: 2607.26988 · arxiv_version: 2607.26988v1 · doi: 10.48550/arxiv.2607.26988 · pith_short_12: 6HVTL643W2BU · pith_short_16: 6HVTL643W2BUKST5 · pith_short_8: 6HVTL643

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/6HVTL643W2BUKST5IMPP6QW6WE \
  | 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: f1eb35fb9bb683454a7d431eff42deb12aa6f7edf8798594f5274901ae4a9e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84dd9cf174f6e0d0fd4c1225c178fd7baedacf1fa295037412b2e9d0d5d043a7",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2026-07-29T14:47:19Z",
    "title_canon_sha256": "232108c35116f47df6a9e5329619468e2c3b1767a34707aee5ae499a7e582233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26988",
    "kind": "arxiv",
    "version": 1
  }
}