Pith Number

pith:4HG3LQH3

pith:2025:4HG3LQH36ZIQZOW76J2WZXM4XP

not attested not anchored not stored refs pending

A shared-revenue Bertrand game

Aviad Rubinstein, Dean Foster, Dhruv Madeka, Dominique Perrault-Joncas, Kari Torkkola, Omer Gottesman, Orit Ronen, Raj Pabari, Udaya Ghai

arxiv:2502.07952 v2 · 2025-02-11 · 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{4HG3LQH36ZIQZOW76J2WZXM4XP}

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	2026-07-05T12:09:43.537927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1cdb5c0fbf6510cbadff2756cdd9cbbc5152308a9c7d5a69930674efe2f3542

Aliases

arxiv: 2502.07952 · arxiv_version: 2502.07952v2 · doi: 10.48550/arxiv.2502.07952 · pith_short_12: 4HG3LQH36ZIQ · pith_short_16: 4HG3LQH36ZIQZOW7 · pith_short_8: 4HG3LQH3

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/4HG3LQH36ZIQZOW76J2WZXM4XP \
  | 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: e1cdb5c0fbf6510cbadff2756cdd9cbbc5152308a9c7d5a69930674efe2f3542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04bb8676bb9ee6eae095f30ff2922c71904cf30b7b3cc3ffcb38003c028c1d25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2025-02-11T21:01:38Z",
    "title_canon_sha256": "5a4bc14968420248fefb3dc1e1ced236a3cf949b06b4cbe3e07f0ab16ec69600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07952",
    "kind": "arxiv",
    "version": 2
  }
}