Pith Number

pith:DN4MBK5X

pith:2010:DN4MBK5XGYLHV24TVJMMI4N7WM

not attested not anchored not stored refs pending

Lecture Notes on Network Information Theory

Abbas El Gamal, Young-Han Kim

arxiv:1001.3404 v5 · 2010-01-20 · cs.IT · cs.NI · math.IT · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DN4MBK5XGYLHV24TVJMMI4N7WM}

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	2026-05-18T04:06:21.134255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b78c0abb736167aeb93aa58c471bfb30f903d11261963a799247471edb71409

Aliases

arxiv: 1001.3404 · arxiv_version: 1001.3404v5 · doi: 10.48550/arxiv.1001.3404 · pith_short_12: DN4MBK5XGYLH · pith_short_16: DN4MBK5XGYLHV24T · pith_short_8: DN4MBK5X

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/DN4MBK5XGYLHV24TVJMMI4N7WM \
  | 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: 1b78c0abb736167aeb93aa58c471bfb30f903d11261963a799247471edb71409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fddd6df89ce7c4c30179e7015118f589791e98b255d281ed04599df2cae2738",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-20T18:33:23Z",
    "title_canon_sha256": "3784b4537025551162f97fc753b18fd2b82cf0beaff0b0d3a1f8e0fe00bcf6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3404",
    "kind": "arxiv",
    "version": 5
  }
}