Pith Number

pith:W2P3CNOJ

pith:2010:W2P3CNOJFH3LNOCFN2MG7RFLWA

not attested not anchored not stored refs pending

Spectrum Sharing between Cooperative Relay and Ad-hoc Networks: Dynamic Transmissions under Computation and Signaling Limitations

Shidong Zhou, Xiaofeng Zhong, Xibin Xu, Yin Sun, Yunzhou Li

arxiv:1009.4780 v2 · 2010-09-24 · cs.IT · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2P3CNOJFH3LNOCFN2MG7RFLWA}

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	2026-05-18T00:58:43.985554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69fb135c929f6b6b8456e986fc4abb0374d81cd6e02b2668191755c41ca4972

Aliases

arxiv: 1009.4780 · arxiv_version: 1009.4780v2 · doi: 10.48550/arxiv.1009.4780 · pith_short_12: W2P3CNOJFH3L · pith_short_16: W2P3CNOJFH3LNOCF · pith_short_8: W2P3CNOJ

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/W2P3CNOJFH3LNOCFN2MG7RFLWA \
  | 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: b69fb135c929f6b6b8456e986fc4abb0374d81cd6e02b2668191755c41ca4972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a25d81cd471e3663d67db98ff6c5c2400d714929da04809cc1438919d3f5e79b",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-09-24T08:40:27Z",
    "title_canon_sha256": "dbd0989ed234a4dc132127bb38c48337bf9130ac501b655410a82320098d3b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4780",
    "kind": "arxiv",
    "version": 2
  }
}