Pith Number

pith:J6CNE73N

pith:2012:J6CNE73NZL4FJ3CGQHXZ247QO2

not attested not anchored not stored refs pending

Universal Estimation of Directed Information

Haim H. Permuter, Jiantao Jiao, Lei Zhao, Tsachy Weissman, Young-Han Kim

arxiv:1201.2334 v4 · 2012-01-11 · 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{J6CNE73NZL4FJ3CGQHXZ247QO2}

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	2026-05-18T00:59:09.961144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f84d27f6dcaf854ec4681ef9d73f0769c771c3d1ec8e28656957f0af99552e2

Aliases

arxiv: 1201.2334 · arxiv_version: 1201.2334v4 · doi: 10.48550/arxiv.1201.2334 · pith_short_12: J6CNE73NZL4F · pith_short_16: J6CNE73NZL4FJ3CG · pith_short_8: J6CNE73N

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/J6CNE73NZL4FJ3CGQHXZ247QO2 \
  | 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: 4f84d27f6dcaf854ec4681ef9d73f0769c771c3d1ec8e28656957f0af99552e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab2b04bd9996a44445d1145923ce5657cee219540887a928cea30c86723fc42",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-11T15:49:51Z",
    "title_canon_sha256": "2a2ae4727c75951b6a1258abedacb5fb10d62176f377779fa2e349f68c9be69c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2334",
    "kind": "arxiv",
    "version": 4
  }
}