Pith Number

pith:W4O7EP7K

pith:2011:W4O7EP7KDB67FDXXZOML2T54EX

not attested not anchored not stored refs pending

KL-learning: Online solution of Kullback-Leibler control problems

Bert Kappen, Joris Bierkens

arxiv:1112.1996 v2 · 2011-12-09 · math.OC · 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{W4O7EP7KDB67FDXXZOML2T54EX}

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	2026-05-18T04:02:13.313735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71df23fea187df28ef7cb98bd4fbc25edefe830f1b4b183a1e495e326a56301

Aliases

arxiv: 1112.1996 · arxiv_version: 1112.1996v2 · doi: 10.48550/arxiv.1112.1996 · pith_short_12: W4O7EP7KDB67 · pith_short_16: W4O7EP7KDB67FDXX · pith_short_8: W4O7EP7K

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/W4O7EP7KDB67FDXXZOML2T54EX \
  | 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: b71df23fea187df28ef7cb98bd4fbc25edefe830f1b4b183a1e495e326a56301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52827674c25b091693dadf464cbe2b83f367fd3186e88d70a54857630266cedb",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-09T01:35:06Z",
    "title_canon_sha256": "cd189e265881f7d6eaf07ddfbe9f0d78f3a405fd9db85289a173469ff1c6183e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1996",
    "kind": "arxiv",
    "version": 2
  }
}