Pith Number

pith:PL4HN64Q

pith:2012:PL4HN64QDHQUWTB354CQOR2FIK

not attested not anchored not stored refs pending

The Feasibility Conditions for Interference Alignment in MIMO Networks

Liangzhong Ruan, Moe Z. Win, Vincent K.N. Lau

arxiv:1211.3484 v1 · 2012-11-15 · 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{PL4HN64QDHQUWTB354CQOR2FIK}

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	2026-05-18T03:17:11.796243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af876fb9019e14b4c3bef050747454297bbe9fd674cd96e3265a7b765bd1e2a

Aliases

arxiv: 1211.3484 · arxiv_version: 1211.3484v1 · doi: 10.48550/arxiv.1211.3484 · pith_short_12: PL4HN64QDHQU · pith_short_16: PL4HN64QDHQUWTB3 · pith_short_8: PL4HN64Q

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/PL4HN64QDHQUWTB354CQOR2FIK \
  | 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: 7af876fb9019e14b4c3bef050747454297bbe9fd674cd96e3265a7b765bd1e2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6801a6333f1aca5b9c563a5c06f10fd5541c2f12288b1eab131ede430a9c5b7c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-15T02:56:33Z",
    "title_canon_sha256": "ec5e3f5b7b5eaf3768d924ba4fd8eb81a32aa857bca7fb3242d089d289726f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3484",
    "kind": "arxiv",
    "version": 1
  }
}