Pith Number

pith:FBIZJEUS

pith:2016:FBIZJEUSP6ZXIP4LURZUHURWEB

not attested not anchored not stored refs pending

Optimal DoF of the K-User Broadcast Channel with Delayed and Imperfect Current CSIT

David Gesbert, Jingjing Zhang, Paul de Kerret, Petros Elia

arxiv:1604.01653 v2 · 2016-04-06 · 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{FBIZJEUSP6ZXIP4LURZUHURWEB}

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	2026-05-18T00:57:44.059568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28519492927fb3743f8ba47343d236207694d526f0c0e701ec7e84d700fe9983

Aliases

arxiv: 1604.01653 · arxiv_version: 1604.01653v2 · doi: 10.48550/arxiv.1604.01653 · pith_short_12: FBIZJEUSP6ZX · pith_short_16: FBIZJEUSP6ZXIP4L · pith_short_8: FBIZJEUS

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/FBIZJEUSP6ZXIP4LURZUHURWEB \
  | 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: 28519492927fb3743f8ba47343d236207694d526f0c0e701ec7e84d700fe9983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb4c1940c0c0dc91a004a11645d100a47f8d9f04f62c07d204d6342fb81ea00",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-06T15:03:10Z",
    "title_canon_sha256": "a2658f17396054d3f42e5a2d28c6bdc70a760b042f8b09941429e26c280dddac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01653",
    "kind": "arxiv",
    "version": 2
  }
}