Pith Number

pith:IYRB2P2F

pith:2010:IYRB2P2FEDUYLJWFPU76HNVXPX

not attested not anchored not stored refs pending

The Common Information of N Dependent Random Variables

Biao Chen, Ge Xu, Wei Liu

arxiv:1010.3613 v1 · 2010-10-18 · 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{IYRB2P2FEDUYLJWFPU76HNVXPX}

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	2026-05-18T04:39:08.737159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46221d3f4520e985a6c57d3fe3b6b77dc3d30f2fbce651ab1463a203172a1bd6

Aliases

arxiv: 1010.3613 · arxiv_version: 1010.3613v1 · doi: 10.48550/arxiv.1010.3613 · pith_short_12: IYRB2P2FEDUY · pith_short_16: IYRB2P2FEDUYLJWF · pith_short_8: IYRB2P2F

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/IYRB2P2FEDUYLJWFPU76HNVXPX \
  | 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: 46221d3f4520e985a6c57d3fe3b6b77dc3d30f2fbce651ab1463a203172a1bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba0db7d28b5d5d7b565b547808088354a0c4d9f7033eb90036c6f58facc2007",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-10-18T14:36:13Z",
    "title_canon_sha256": "45fa640df345ddbbc34c21736d42ceec6bb3027f5c907c33fe1e08168dcd36c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3613",
    "kind": "arxiv",
    "version": 1
  }
}