Pith Number

pith:HQ5E3HU6

pith:2010:HQ5E3HU64FAAL4GGBMP6E76EP2

not attested not anchored not stored refs pending

Optimal Spectrum Sharing in MIMO Cognitive Radio Networks via Semidefinite Programming

Anthony Man-Cho So, Ying Jun Zhang

arxiv:1006.4225 v2 · 2010-06-22 · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQ5E3HU64FAAL4GGBMP6E76EP2}

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	2026-05-18T04:42:23.814016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3a4d9e9ee14005f0c60b1fe27fc47ea361b472e93f46c8a2da17dfd1e7193d

Aliases

arxiv: 1006.4225 · arxiv_version: 1006.4225v2 · doi: 10.48550/arxiv.1006.4225 · pith_short_12: HQ5E3HU64FAA · pith_short_16: HQ5E3HU64FAAL4GG · pith_short_8: HQ5E3HU6

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/HQ5E3HU64FAAL4GGBMP6E76EP2 \
  | 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: 3c3a4d9e9ee14005f0c60b1fe27fc47ea361b472e93f46c8a2da17dfd1e7193d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db7b91ce78bbee580c215bc383458633e5959ba587c32f3400faf4de3322cb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2010-06-22T08:20:14Z",
    "title_canon_sha256": "2d43376d0363768743b762f7d11d4a26b1867f271942ae4fac944e02393bba2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4225",
    "kind": "arxiv",
    "version": 2
  }
}