Pith Number

pith:U7CZZPD4

pith:2026:U7CZZPD4UBMY2TKFMEKNWJQMUM

not attested not anchored not stored refs pending

You Can Learn Tokenization End-to-End with Reinforcement Learning

Roger Wattenhofer, Sam Dauncey

arxiv:2602.13940 v2 · 2026-02-15 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7CZZPD4UBMY2TKFMEKNWJQMUM}

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	2026-06-02T02:04:14.690183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c59cbc7ca0598d4d456114db260ca325ff2c118b245e069e2a973fdfc331aa

Aliases

arxiv: 2602.13940 · arxiv_version: 2602.13940v2 · doi: 10.48550/arxiv.2602.13940 · pith_short_12: U7CZZPD4UBMY · pith_short_16: U7CZZPD4UBMY2TKF · pith_short_8: U7CZZPD4

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/U7CZZPD4UBMY2TKFMEKNWJQMUM \
  | 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: a7c59cbc7ca0598d4d456114db260ca325ff2c118b245e069e2a973fdfc331aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "935047dee1d0007a5949d6d5c37d47953174c9b5570b249e02d103c6ba46e90c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-15T00:31:24Z",
    "title_canon_sha256": "89bdc1f13dc68f3fef867183c1971b6c602338a92211118b2e58f1ef8285a164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.13940",
    "kind": "arxiv",
    "version": 2
  }
}