Pith Number

pith:TFHWCHEE

pith:2011:TFHWCHEED3WGSGU26M7GLOJXYG

not attested not anchored not stored refs pending

Subspace Alignment Chains and the Degrees of Freedom of the Three-User MIMO Interference Channel

Chenwei Wang, Syed A. Jafar, Tiangao Gou

arxiv:1109.4350 v1 · 2011-09-20 · 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{TFHWCHEED3WGSGU26M7GLOJXYG}

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	2026-05-18T04:12:43.492529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

994f611c841eec691a9af33e65b937c1a50c8b8cd43a38738f307a0b14e7b709

Aliases

arxiv: 1109.4350 · arxiv_version: 1109.4350v1 · doi: 10.48550/arxiv.1109.4350 · pith_short_12: TFHWCHEED3WG · pith_short_16: TFHWCHEED3WGSGU2 · pith_short_8: TFHWCHEE

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/TFHWCHEED3WGSGU26M7GLOJXYG \
  | 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: 994f611c841eec691a9af33e65b937c1a50c8b8cd43a38738f307a0b14e7b709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "783a3a11968f292c0f3c57ff2fa463667f0b9d4c0b42c097641da29543e1dd6e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-20T16:55:36Z",
    "title_canon_sha256": "0e6ef9afa8479c4a344a9ba99eaea96038945abcb9a41ae1b547bc61a3bbe65e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4350",
    "kind": "arxiv",
    "version": 1
  }
}