Pith Number

pith:PUEPCNOY

pith:2007:PUEPCNOYPVFFUUTQFYQAJWN4IB

not attested not anchored not stored refs pending

The capacity of a class of 3-receiver broadcast channels with degraded message sets

Abbas El Gamal, Chandra Nair

arxiv:0712.3327 v2 · 2007-12-20 · 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{PUEPCNOYPVFFUUTQFYQAJWN4IB}

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	2026-07-04T15:06:43.731646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d08f135d87d4a5a52702e2004d9bc405611b3fffd484e02f68336245006e921

Aliases

arxiv: 0712.3327 · arxiv_version: 0712.3327v2 · doi: 10.48550/arxiv.0712.3327 · pith_short_12: PUEPCNOYPVFF · pith_short_16: PUEPCNOYPVFFUUTQ · pith_short_8: PUEPCNOY

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/PUEPCNOYPVFFUUTQFYQAJWN4IB \
  | 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: 7d08f135d87d4a5a52702e2004d9bc405611b3fffd484e02f68336245006e921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adee2e9089020da600dc6279dbf76698a54e0e7c7fa4edce4714bc154a499234",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-12-20T04:59:47Z",
    "title_canon_sha256": "410ffd82fefa3a8197650b206a9c777841a019e2bebd2f74aa3391e98649016f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3327",
    "kind": "arxiv",
    "version": 2
  }
}