Pith Number

pith:E6WMJKLZ

pith:2022:E6WMJKLZBOJDUOG2CRWD5VXZ4F

not attested not anchored not stored refs pending

P(Expression|Grammar): Probability of deriving an algebraic expression with a probabilistic context-free grammar

Ljup\v{c}o Todorovski, Matej Petkovi\'c, Urh Primo\v{z}i\v{c}

arxiv:2212.00751 v2 · 2022-12-01 · 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{E6WMJKLZBOJDUOG2CRWD5VXZ4F}

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	2026-07-05T05:21:45.874278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27acc4a9790b923a38da146c3ed6f9e1464483282c60cfabdf17dbd3cd744d89

Aliases

arxiv: 2212.00751 · arxiv_version: 2212.00751v2 · doi: 10.48550/arxiv.2212.00751 · pith_short_12: E6WMJKLZBOJD · pith_short_16: E6WMJKLZBOJDUOG2 · pith_short_8: E6WMJKLZ

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/E6WMJKLZBOJDUOG2CRWD5VXZ4F \
  | 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: 27acc4a9790b923a38da146c3ed6f9e1464483282c60cfabdf17dbd3cd744d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a2048338869dd1e9d131d0d719b7163ddfb646cfe8374d3f195481b56eafbc",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2022-12-01T18:36:54Z",
    "title_canon_sha256": "0d3022a85962f82a1c0106d179597fe3cc15f53eb507591998e65efd45d3a571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.00751",
    "kind": "arxiv",
    "version": 2
  }
}