Pith Number

pith:HMIXPUH5

pith:2025:HMIXPUH5GE5TH4EYOXUTQKW22E

not attested not anchored not stored refs pending

Existence of Bayesian Equilibria in Incomplete Information Games without Common Priors

Denis Kojevnikov, Kyungchul Song

arxiv:2504.16240 v3 · 2025-04-22 · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMIXPUH5GE5TH4EYOXUTQKW22E}

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	2026-06-19T16:12:03.488498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1177d0fd313b33f09875e9382adad1137023991a610944483bbb6f54c86ba5

Aliases

arxiv: 2504.16240 · arxiv_version: 2504.16240v3 · doi: 10.48550/arxiv.2504.16240 · pith_short_12: HMIXPUH5GE5T · pith_short_16: HMIXPUH5GE5TH4EY · pith_short_8: HMIXPUH5

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/HMIXPUH5GE5TH4EYOXUTQKW22E \
  | 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: 3b1177d0fd313b33f09875e9382adad1137023991a610944483bbb6f54c86ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9fb398e01b7d36d4dfc7f2966c03b604e869075ce24acac4b73daaf2678287",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2025-04-22T20:12:06Z",
    "title_canon_sha256": "4fd8004c389bf9b2b68869149076bbff8570bde7f0847b8f41134fe925e6a19f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16240",
    "kind": "arxiv",
    "version": 3
  }
}