Pith Number

pith:X4433R6X

pith:2019:X4433R6XGX3W7KGBI7ESYBC6AU

not attested not anchored not stored refs pending

Bayesian Nash Equilibrium in First-Price Auction with Discrete Value Distributions

Song Zuo, Weiran Shen, Zihe Wang

arxiv:1906.09403 v2 · 2019-06-22 · 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{X4433R6XGX3W7KGBI7ESYBC6AU}

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	2026-05-17T23:41:07.520941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf39bdc7d735f76fa8c147c92c045e052c9d2c4420593fc6d4c1ea118e49e61e

Aliases

arxiv: 1906.09403 · arxiv_version: 1906.09403v2 · doi: 10.48550/arxiv.1906.09403 · pith_short_12: X4433R6XGX3W · pith_short_16: X4433R6XGX3W7KGB · pith_short_8: X4433R6X

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/X4433R6XGX3W7KGBI7ESYBC6AU \
  | 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: bf39bdc7d735f76fa8c147c92c045e052c9d2c4420593fc6d4c1ea118e49e61e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd14d89d3db0223eefc13c40fce3b00102153023634a4924fb4d342517c11451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2019-06-22T07:30:55Z",
    "title_canon_sha256": "02cd9df16b9d4446d71e069a0d030dcb9efd88d76c50fa7724a8f32c7b0cc773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09403",
    "kind": "arxiv",
    "version": 2
  }
}