Pith Number

pith:HK47WZ6W

pith:2010:HK47WZ6WTX4KEWV3ZOUR4N7ZKP

not attested not anchored not stored refs pending

Equilibria of Dynamic Games with Many Players: Existence, Approximation, and Market Structure

Gabriel Y. Weintraub, Ramesh Johari, Sachin Adlakha

arxiv:1011.5537 v5 · 2010-11-25 · 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{HK47WZ6WTX4KEWV3ZOUR4N7ZKP}

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	2026-05-18T02:23:17.542422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab9fb67d69df8a25abbcba91e37f953e8849b38f46b9e5f3ed7390bffc43632

Aliases

arxiv: 1011.5537 · arxiv_version: 1011.5537v5 · doi: 10.48550/arxiv.1011.5537 · pith_short_12: HK47WZ6WTX4K · pith_short_16: HK47WZ6WTX4KEWV3 · pith_short_8: HK47WZ6W

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/HK47WZ6WTX4KEWV3ZOUR4N7ZKP \
  | 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: 3ab9fb67d69df8a25abbcba91e37f953e8849b38f46b9e5f3ed7390bffc43632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46888ffaae400bbeb16756ac5cfd8a0494e376aee4cdf3f245d970dae1d9611e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2010-11-25T00:28:19Z",
    "title_canon_sha256": "15b369a98c2d44635bca37611b2eaa99a50f374ffa0f3492abf5e49e2adc9ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5537",
    "kind": "arxiv",
    "version": 5
  }
}