Pith Number

pith:ZXA4XK2P

pith:2012:ZXA4XK2PZRZVV2NZ5L3VDME2X2

not attested not anchored not stored refs pending

How Much Rate Splitting Is Required for a Random Coding Scheme? A new Achievable Rate Region for the Broadcast Channel with Cognitive Relays

Reza K. Farsani

arxiv:1207.3050 v2 · 2012-07-12 · 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{ZXA4XK2PZRZVV2NZ5L3VDME2X2}

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	2026-05-18T03:33:38.184785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc1cbab4fcc735ae9b9eaf751b09abe9c77736de14f77609b93da69d2d41fa7

Aliases

arxiv: 1207.3050 · arxiv_version: 1207.3050v2 · doi: 10.48550/arxiv.1207.3050 · pith_short_12: ZXA4XK2PZRZV · pith_short_16: ZXA4XK2PZRZVV2NZ · pith_short_8: ZXA4XK2P

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/ZXA4XK2PZRZVV2NZ5L3VDME2X2 \
  | 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: cdc1cbab4fcc735ae9b9eaf751b09abe9c77736de14f77609b93da69d2d41fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84ef5e02df0c449abf6b1ef3a35564a881e16b59f8468b7cc48727029f5083c2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-07-12T18:29:28Z",
    "title_canon_sha256": "8988c4fd9270975eb5886f27be129b1967c81c4fb985ac482665b7944f1cfb2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3050",
    "kind": "arxiv",
    "version": 2
  }
}