Pith Number

pith:WUQ6657Y

pith:2013:WUQ6657YC4PV2GAP7N6HB5XCJI

not attested not anchored not stored refs pending

Broadcast Channel Games: Equilibrium Characterization and a MIMO MAC-BC Game Duality

Rahul Jain, Srinivas Yerramalli, Urbashi Mitra

arxiv:1305.4703 v1 · 2013-05-21 · 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{WUQ6657YC4PV2GAP7N6HB5XCJI}

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	2026-05-18T03:25:15.428226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b521ef77f8171f5d180ffb7c70f6e24a021b1936a33b92428d60826bc7a50fe0

Aliases

arxiv: 1305.4703 · arxiv_version: 1305.4703v1 · doi: 10.48550/arxiv.1305.4703 · pith_short_12: WUQ6657YC4PV · pith_short_16: WUQ6657YC4PV2GAP · pith_short_8: WUQ6657Y

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/WUQ6657YC4PV2GAP7N6HB5XCJI \
  | 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: b521ef77f8171f5d180ffb7c70f6e24a021b1936a33b92428d60826bc7a50fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31419ba8442df9a2bc854be124e2366238a8c33b073853445daeba38e1c56a3f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-05-21T03:43:26Z",
    "title_canon_sha256": "464f5b7405a2b1882eb7075ff3f7755fb9665832ed9aadc549766331b679a706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4703",
    "kind": "arxiv",
    "version": 1
  }
}