Pith Number

pith:EW3FIAUK

pith:2026:EW3FIAUKJYKPVN6LH2DLFBS3SD

not attested not anchored not stored refs pending

Express Language Modeling

Albert Gong, Annabelle Michael Carrell, Lester Mackey, Raaz Dwivedi

arxiv:2606.10944 v1 · 2026-06-09 · cs.LG · cs.DS · math.ST · stat.ME · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EW3FIAUKJYKPVN6LH2DLFBS3SD}

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	2026-06-10T01:10:49.321795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25b654028a4e14fab7cb3e86b2865b90fde731a6631ab69118212ab7f7af37a8

Aliases

arxiv: 2606.10944 · arxiv_version: 2606.10944v1 · doi: 10.48550/arxiv.2606.10944 · pith_short_12: EW3FIAUKJYKP · pith_short_16: EW3FIAUKJYKPVN6L · pith_short_8: EW3FIAUK

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/EW3FIAUKJYKPVN6LH2DLFBS3SD \
  | 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: 25b654028a4e14fab7cb3e86b2865b90fde731a6631ab69118212ab7f7af37a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf33f278ce4538f7215ee79981af823e2a0b147d2ff120166932f7466ce7f48e",
    "cross_cats_sorted": [
      "cs.DS",
      "math.ST",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-09T14:48:56Z",
    "title_canon_sha256": "a1a0a1c8d387db88866b1737181a9f50fde0f52011ec6361f1cb425457c5d5b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10944",
    "kind": "arxiv",
    "version": 1
  }
}