Pith Number

pith:WQ6SOKBW

pith:2011:WQ6SOKBW5OAXA3IM24BSKOTJLL

not attested not anchored not stored refs pending

Optimal Real-time Spectrum Sharing between Cooperative Relay and Ad-hoc Networks

Chong-Yung Chi, Jing Wang, Shidong Zhou, Tsung-Hui Chang, Xiaofeng Zhong, Yin Sun

arxiv:1106.0831 v6 · 2011-06-04 · 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{WQ6SOKBW5OAXA3IM24BSKOTJLL}

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	2026-05-18T03:36:37.187749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43d272836eb81706d0cd703253a695afd364b6f80cb6da8b9708d446141dc71

Aliases

arxiv: 1106.0831 · arxiv_version: 1106.0831v6 · doi: 10.48550/arxiv.1106.0831 · pith_short_12: WQ6SOKBW5OAX · pith_short_16: WQ6SOKBW5OAXA3IM · pith_short_8: WQ6SOKBW

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/WQ6SOKBW5OAXA3IM24BSKOTJLL \
  | 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: b43d272836eb81706d0cd703253a695afd364b6f80cb6da8b9708d446141dc71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eca5c009661e12f847a9b7e07d517baa6a28b8398684baae26e9aec6c06dd76",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-06-04T15:04:30Z",
    "title_canon_sha256": "c11278f0fff8e4634a2c456eb3e196dc2ef19b5440aae17647bda203754874d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0831",
    "kind": "arxiv",
    "version": 6
  }
}