Pith Number

pith:36EV3765

pith:2011:36EV37653WQHAOWNYY32GVMZSP

not attested not anchored not stored refs pending

Two Classes of Broadcast Channels With Side-Information: Capacity Outer Bounds

Chandra R Murthy, K. G. Nagananda, Shalinee Kishore

arxiv:1109.2782 v4 · 2011-09-13 · 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{36EV37653WQHAOWNYY32GVMZSP}

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	2026-05-18T04:11:20.072193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df895dffdddda0703acdc637a3559993cfa01b273ec201eae5d2245d183040cc

Aliases

arxiv: 1109.2782 · arxiv_version: 1109.2782v4 · doi: 10.48550/arxiv.1109.2782 · pith_short_12: 36EV37653WQH · pith_short_16: 36EV37653WQHAOWN · pith_short_8: 36EV3765

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/36EV37653WQHAOWNYY32GVMZSP \
  | 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: df895dffdddda0703acdc637a3559993cfa01b273ec201eae5d2245d183040cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae62a830ae1c7ffb2ccb268d70bb5cc269d19781424bcf9d158bb6d12e3b6d93",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-13T13:27:14Z",
    "title_canon_sha256": "876ef4af0a04c21a221eedb83984f9dd7a15f0d04139ac39d274212fbf0b70dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2782",
    "kind": "arxiv",
    "version": 4
  }
}