Pith Number

pith:DULEQODX

pith:2016:DULEQODX5VBFNJV3IAHXPZLCUJ

not attested not anchored not stored refs pending

Exploiting Social Tie Structure for Cooperative Wireless Networking: A Social Group Utility Maximization Framework

Junshan Zhang, Lei Yang, Xiaowen Gong, Xu Chen

arxiv:1605.00091 v1 · 2016-04-30 · 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{DULEQODX5VBFNJV3IAHXPZLCUJ}

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	2026-05-18T01:15:56.796216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d16483877ed4256a6bb400f77e562a27ccb97b631d868f6cd1870d9da13f56a

Aliases

arxiv: 1605.00091 · arxiv_version: 1605.00091v1 · doi: 10.48550/arxiv.1605.00091 · pith_short_12: DULEQODX5VBF · pith_short_16: DULEQODX5VBFNJV3 · pith_short_8: DULEQODX

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/DULEQODX5VBFNJV3IAHXPZLCUJ \
  | 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: 1d16483877ed4256a6bb400f77e562a27ccb97b631d868f6cd1870d9da13f56a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea616319faac0815ddd901a3964a4eae99b0fbb250c76f78342f6032e2121c8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2016-04-30T11:01:38Z",
    "title_canon_sha256": "1aeb8f6dae044086f1407652e83e48dfcbc275308116874bb5cb4a28f81d75c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00091",
    "kind": "arxiv",
    "version": 1
  }
}