Pith Number

pith:TJ3S4TKH

pith:2011:TJ3S4TKH44FHD3HUG74ADVVEEG

not attested not anchored not stored refs pending

Approximate Pure Nash Equilibria in Weighted Congestion Games: Existence, Efficient Computation, and Structure

Alexander Skopalik, Angelo Fanelli, Ioannis Caragiannis, Nick Gravin

arxiv:1107.2248 v2 · 2011-07-12 · 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{TJ3S4TKH44FHD3HUG74ADVVEEG}

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	2026-05-18T04:08:33.402508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a772e4d47e70a71ecf437f801d6a421b800f735490999a6b43bc7efb8d7a56c

Aliases

arxiv: 1107.2248 · arxiv_version: 1107.2248v2 · doi: 10.48550/arxiv.1107.2248 · pith_short_12: TJ3S4TKH44FH · pith_short_16: TJ3S4TKH44FHD3HU · pith_short_8: TJ3S4TKH

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/TJ3S4TKH44FHD3HUG74ADVVEEG \
  | 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: 9a772e4d47e70a71ecf437f801d6a421b800f735490999a6b43bc7efb8d7a56c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "345236442f123f4809203ea203182a23a063bc3a01d27a7fa6640fc46690e87c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-07-12T11:21:16Z",
    "title_canon_sha256": "1f1c6d231ed000dd85c3b8461800955443d205930b1dc10521f325bf775cdcfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2248",
    "kind": "arxiv",
    "version": 2
  }
}