Pith Number

pith:ZCCXFAOM

pith:2013:ZCCXFAOMGD7AQUSYW64MYGH2GQ

not attested not anchored not stored refs pending

Competition Between Wireless Service Providers: Pricing, Equilibrium and Efficiency

Feng Zhang, Wenyi Zhang

arxiv:1304.0892 v1 · 2013-04-03 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCCXFAOMGD7AQUSYW64MYGH2GQ}

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	2026-05-18T03:29:05.825182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8857281cc30fe085258b7b8cc18fa342de8cf2c7b6a3854e84cc72d286c6a06

Aliases

arxiv: 1304.0892 · arxiv_version: 1304.0892v1 · doi: 10.48550/arxiv.1304.0892 · pith_short_12: ZCCXFAOMGD7A · pith_short_16: ZCCXFAOMGD7AQUSY · pith_short_8: ZCCXFAOM

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/ZCCXFAOMGD7AQUSYW64MYGH2GQ \
  | 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: c8857281cc30fe085258b7b8cc18fa342de8cf2c7b6a3854e84cc72d286c6a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ba1a0227f4a95aac1ec0fb753d253251954c54779cbd90603155a21e9887bdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-04-03T09:54:01Z",
    "title_canon_sha256": "fe38d8fc6a10a7b7bba9f0db3bac3e7f0036ae29ac6d885a003ff9710af925de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0892",
    "kind": "arxiv",
    "version": 1
  }
}