Pith Number

pith:4Z2JND7P

pith:2012:4Z2JND7PKNXN4U77UDOZEUOS6F

not attested not anchored not stored refs pending

Minimum KL-divergence on complements of $L_1$ balls

Aryeh Kontorovich, Daniel Berend, Peter Harremo\"es

arxiv:1206.6544 v8 · 2012-06-28 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Z2JND7PKNXN4U77UDOZEUOS6F}

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	2026-05-18T02:58:32.853681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e674968fef536ede53ffa0dd9251d2f143b8384e732183a3a5c0288fad6c00dc

Aliases

arxiv: 1206.6544 · arxiv_version: 1206.6544v8 · doi: 10.48550/arxiv.1206.6544 · pith_short_12: 4Z2JND7PKNXN · pith_short_16: 4Z2JND7PKNXN4U77 · pith_short_8: 4Z2JND7P

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/4Z2JND7PKNXN4U77UDOZEUOS6F \
  | 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: e674968fef536ede53ffa0dd9251d2f143b8384e732183a3a5c0288fad6c00dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b1fd8a4d84020281eb2f07569c2e1d3f6d154b26e94a6c95c5ddba6a3a2237",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-06-28T01:11:20Z",
    "title_canon_sha256": "7a486948535e84451ff2e3df870744e9fe83945a6bb178f978b56078627ac272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6544",
    "kind": "arxiv",
    "version": 8
  }
}