Pith Number

pith:2G5CX6ZT

pith:2012:2G5CX6ZTZZK3X6E5OFROIL2DWI

not attested not anchored not stored refs pending

Achievable Sum-Rates in Gaussian Multiple-Access Channels with MIMO-AF-Relay and Direct Links

Carolin Huppert, Frederic Knabe, Omar Mohamed

arxiv:1207.1563 v1 · 2012-07-06 · 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{2G5CX6ZTZZK3X6E5OFROIL2DWI}

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	2026-05-18T03:51:36.859651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ba2bfb33ce55bbf89d7162e42f43b230b02bef3eadc1cb029d03029a558632

Aliases

arxiv: 1207.1563 · arxiv_version: 1207.1563v1 · doi: 10.48550/arxiv.1207.1563 · pith_short_12: 2G5CX6ZTZZK3 · pith_short_16: 2G5CX6ZTZZK3X6E5 · pith_short_8: 2G5CX6ZT

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/2G5CX6ZTZZK3X6E5OFROIL2DWI \
  | 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: d1ba2bfb33ce55bbf89d7162e42f43b230b02bef3eadc1cb029d03029a558632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e147fea9fbbc28af0a4c071fa7dd06ddb742dc1c335b41af2aa86b8419c5ff",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-07-06T09:16:55Z",
    "title_canon_sha256": "4642a574e468e53a056744dc8fd58d422af1805cd000e5f47ece85f1e5bb9d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1563",
    "kind": "arxiv",
    "version": 1
  }
}