Pith Number

pith:ZDD6TL7E

pith:2026:ZDD6TL7EY4WMDIDPJSE5YTYIFU

not attested not anchored not stored refs pending

When Is Next-Token Prediction Useful? Marginalization, Ergodicity, Mixture Identifiability, Local Sufficiency, RAG, Tools, and Programming

Francesco Corielli

arxiv:2605.23278 v1 · 2026-05-22 · cs.CL · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDD6TL7EY4WMDIDPJSE5YTYIFU}

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	2026-05-25T02:01:47.003366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c7e9afe4c72cc1a06f4c89dc4f082d30ac6b5e3d40d71983df0a8f8b1e582a

Aliases

arxiv: 2605.23278 · arxiv_version: 2605.23278v1 · doi: 10.48550/arxiv.2605.23278 · pith_short_12: ZDD6TL7EY4WM · pith_short_16: ZDD6TL7EY4WMDIDP · pith_short_8: ZDD6TL7E

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/ZDD6TL7EY4WMDIDPJSE5YTYIFU \
  | 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: c8c7e9afe4c72cc1a06f4c89dc4f082d30ac6b5e3d40d71983df0a8f8b1e582a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5206f62f1dfeed5769fff0b566902ed76da51b759ce81dea45e5e0c742b06b62",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-05-22T06:34:17Z",
    "title_canon_sha256": "abd2721ab9f4b4d1f196d178e46cc0169cf31295fd1d6c6b000c709c01c37427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23278",
    "kind": "arxiv",
    "version": 1
  }
}