Pith Number

pith:ITKXGXX7

pith:2012:ITKXGXX7QRFQKAHCFWPSLKT2MD

not attested not anchored not stored refs pending

Energy Efficient Iterative Waterfilling for the MIMO Broadcasting Channels

Jie Xu, Ling Qiu, Shunqing Zhang

arxiv:1201.3697 v1 · 2012-01-18 · 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{ITKXGXX7QRFQKAHCFWPSLKT2MD}

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	2026-05-18T04:04:18.298288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d5735eff844b0500e22d9f25aa7a60dd00f94be251390965e34b3795830348

Aliases

arxiv: 1201.3697 · arxiv_version: 1201.3697v1 · doi: 10.48550/arxiv.1201.3697 · pith_short_12: ITKXGXX7QRFQ · pith_short_16: ITKXGXX7QRFQKAHC · pith_short_8: ITKXGXX7

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/ITKXGXX7QRFQKAHCFWPSLKT2MD \
  | 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: 44d5735eff844b0500e22d9f25aa7a60dd00f94be251390965e34b3795830348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb922082477e92fd2ed029e79b2754f4d7a93b941a913fbedcc30f978308f73",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-18T05:55:55Z",
    "title_canon_sha256": "0ed687257d97fb656d2647cbd02680f73dec157be0e97453f4306021f3449d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3697",
    "kind": "arxiv",
    "version": 1
  }
}