Pith Number

pith:KDQNEZPV

pith:2012:KDQNEZPVAGNNTOAFWVAA76KWJ6

not attested not anchored not stored refs pending

Profit Incentive In A Secondary Spectrum Market: A Contract Design Approach

Mingyan Liu, Shang-Pin Sheng

arxiv:1207.6445 v1 · 2012-07-27 · cs.CE · 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{KDQNEZPVAGNNTOAFWVAA76KWJ6}

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	2026-05-18T03:49:59.326730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50e0d265f5019ad9b805b5400ff9564fb274f425e43a91695a6857ef338210be

Aliases

arxiv: 1207.6445 · arxiv_version: 1207.6445v1 · doi: 10.48550/arxiv.1207.6445 · pith_short_12: KDQNEZPVAGNN · pith_short_16: KDQNEZPVAGNNTOAF · pith_short_8: KDQNEZPV

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/KDQNEZPVAGNNTOAFWVAA76KWJ6 \
  | 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: 50e0d265f5019ad9b805b5400ff9564fb274f425e43a91695a6857ef338210be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f7b5fd7a2869dbf864da8583ce098b7962c4b2df9d0a254db94b794ac1ab5d",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2012-07-27T04:25:02Z",
    "title_canon_sha256": "c0846e2ff87620d728117a1c8672974259f1f08ffb3f1729bdc670fa9b6b462d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6445",
    "kind": "arxiv",
    "version": 1
  }
}