Pith Number

pith:GCZKEU7D

pith:2011:GCZKEU7DIESOUBJVPLO77UTOI2

not attested not anchored not stored refs pending

Real Interference Alignment and Degrees of Freedom Region of Wireless X Networks

Zhengdao Wang

arxiv:1109.2944 v1 · 2011-09-13 · 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{GCZKEU7DIESOUBJVPLO77UTOI2}

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	2026-05-18T04:13:06.664246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b2a253e34124ea05357addffd26e46a1bb64944b2f6f9f34fff39770ff2fcf

Aliases

arxiv: 1109.2944 · arxiv_version: 1109.2944v1 · doi: 10.48550/arxiv.1109.2944 · pith_short_12: GCZKEU7DIESO · pith_short_16: GCZKEU7DIESOUBJV · pith_short_8: GCZKEU7D

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/GCZKEU7DIESOUBJVPLO77UTOI2 \
  | 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: 30b2a253e34124ea05357addffd26e46a1bb64944b2f6f9f34fff39770ff2fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a3d27d4969814c9503a6c7cef37e9492a0986ac596c1c29905b55fc567f931f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-13T22:01:36Z",
    "title_canon_sha256": "7fda7bb1b453e4eb869e9c68c9a593b514096e3ae996ec3f02313accddfed7ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2944",
    "kind": "arxiv",
    "version": 1
  }
}