Pith Number

pith:AP5F23UJ

pith:2014:AP5F23UJWKDO4HPNZYHK4BALIQ

not attested not anchored not stored refs pending

Learning Nash Equilibria in Congestion Games

Alexandre M. Bayen, Benjamin Drigh\`es, Walid Krichene

arxiv:1408.0017 v1 · 2014-07-31 · cs.LG · 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{AP5F23UJWKDO4HPNZYHK4BALIQ}

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	2026-05-18T02:46:04.069126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03fa5d6e89b286ee1dedce0eae040b44343c0c0f905551147bdace016de7b645

Aliases

arxiv: 1408.0017 · arxiv_version: 1408.0017v1 · doi: 10.48550/arxiv.1408.0017 · pith_short_12: AP5F23UJWKDO · pith_short_16: AP5F23UJWKDO4HPN · pith_short_8: AP5F23UJ

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/AP5F23UJWKDO4HPNZYHK4BALIQ \
  | 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: 03fa5d6e89b286ee1dedce0eae040b44343c0c0f905551147bdace016de7b645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c5e4412c15918ed807688a58f96552f0f9b33cdfd8a6bc9e03e7ad9ccd141e",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2014-07-31T20:10:14Z",
    "title_canon_sha256": "2329a03c1327620dc1555160023c9aa5031d7ff37c8959b86d335ede2cbf769f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0017",
    "kind": "arxiv",
    "version": 1
  }
}