Pith Number

pith:WUGBD5JN

pith:2011:WUGBD5JNHG54G5FUZDAFQ3T3AT

not attested not anchored not stored refs pending

Using Lotteries to Approximate the Optimal Revenue

Carmine Ventre, Paul W. Goldberg

arxiv:1110.1980 v2 · 2011-10-10 · 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{WUGBD5JNHG54G5FUZDAFQ3T3AT}

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	2026-05-18T03:36:46.644046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50c11f52d39bbc374b4c8c0586e7b04fcc1105e54a260513027fdc715ba7902

Aliases

arxiv: 1110.1980 · arxiv_version: 1110.1980v2 · doi: 10.48550/arxiv.1110.1980 · pith_short_12: WUGBD5JNHG54 · pith_short_16: WUGBD5JNHG54G5FU · pith_short_8: WUGBD5JN

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/WUGBD5JNHG54G5FUZDAFQ3T3AT \
  | 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: b50c11f52d39bbc374b4c8c0586e7b04fcc1105e54a260513027fdc715ba7902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c598eaea79f1e72d3e34d01a64af668a71492267551e012e032003b8b9dc8a13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-10-10T09:58:16Z",
    "title_canon_sha256": "31c808a3049907f406b88c5fffd24bf910c741b7d98f31b130e918007182570d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1980",
    "kind": "arxiv",
    "version": 2
  }
}