Pith Number

pith:VMPDKPWU

pith:2012:VMPDKPWUMNJGQZDL26TRPBUPXZ

not attested not anchored not stored refs pending

Degraded Broadcast Channel with Side Information, Confidential Messages and Noiseless Feedback

A. J. Han Vinck, Bin Dai, Yuan Luo, Zhuojun Zhuang

arxiv:1201.2859 v6 · 2012-01-13 · 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{VMPDKPWUMNJGQZDL26TRPBUPXZ}

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	2026-05-18T00:58:18.531172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1e353ed4635268646bd7a717868fbe57611a3c47c0881ac570cad2a4166302

Aliases

arxiv: 1201.2859 · arxiv_version: 1201.2859v6 · doi: 10.48550/arxiv.1201.2859 · pith_short_12: VMPDKPWUMNJG · pith_short_16: VMPDKPWUMNJGQZDL · pith_short_8: VMPDKPWU

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/VMPDKPWUMNJGQZDL26TRPBUPXZ \
  | 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: ab1e353ed4635268646bd7a717868fbe57611a3c47c0881ac570cad2a4166302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c04a649706838cc78869410eddba8773023468b4643d24c66f0deae68b723b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-13T15:15:07Z",
    "title_canon_sha256": "5fabfed11e83f2b80f0f1a3a0026632f013a6aa4d5ffc91797d4defafe6a7d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2859",
    "kind": "arxiv",
    "version": 6
  }
}