Pith Number

pith:BLRY7QSK

pith:2018:BLRY7QSKZO3R6MIZBQ3FPFCVMM

not attested not anchored not stored refs pending

Efficient Estimation of Equilibria of Large Congestion Games with Heterogeneous Players

Cheng Wan, Nadia Oudjane, Olivier Beaude, Paulin Jacquot

arxiv:1810.01436 v1 · 2018-10-02 · 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{BLRY7QSKZO3R6MIZBQ3FPFCVMM}

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	2026-05-18T00:04:12.255915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ae38fc24acbb71f31190c36579455630b76c0f678aa35255231d25d5e704803

Aliases

arxiv: 1810.01436 · arxiv_version: 1810.01436v1 · doi: 10.48550/arxiv.1810.01436 · pith_short_12: BLRY7QSKZO3R · pith_short_16: BLRY7QSKZO3R6MIZ · pith_short_8: BLRY7QSK

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/BLRY7QSKZO3R6MIZBQ3FPFCVMM \
  | 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: 0ae38fc24acbb71f31190c36579455630b76c0f678aa35255231d25d5e704803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f436da34d84df2311acee91847b7f898524f34102b7727ca1fd4ea63a8f2cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-10-02T18:11:20Z",
    "title_canon_sha256": "ba02b1a2d782ed29bfc7f3aa63aacd11695044381eee0ac623bf2b6b79ef6a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01436",
    "kind": "arxiv",
    "version": 1
  }
}