Pith Number

pith:M23HCTXD

pith:2011:M23HCTXDWAFLIEGDIW3HXJ7SSY

not attested not anchored not stored refs pending

A Unifying Tool for Bounding the Quality of Non-Cooperative Solutions in Weighted Congestion Games

Vittorio Bil\`o

arxiv:1110.5439 v1 · 2011-10-25 · 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{M23HCTXDWAFLIEGDIW3HXJ7SSY}

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	2026-05-18T04:10:22.885038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66b6714ee3b00ab410c345b67ba7f29620e2de32462a9106199c3ad5dfa01428

Aliases

arxiv: 1110.5439 · arxiv_version: 1110.5439v1 · doi: 10.48550/arxiv.1110.5439 · pith_short_12: M23HCTXDWAFL · pith_short_16: M23HCTXDWAFLIEGD · pith_short_8: M23HCTXD

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/M23HCTXDWAFLIEGDIW3HXJ7SSY \
  | 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: 66b6714ee3b00ab410c345b67ba7f29620e2de32462a9106199c3ad5dfa01428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c207cf8e11378c142a6dd17bd55a2dfe3538fdb71c1e7712399f58780227ab7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-10-25T08:40:32Z",
    "title_canon_sha256": "2714a545afcd9a1546d1469db61eb3a6425e916e69684ba74fdaca083f70cfc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5439",
    "kind": "arxiv",
    "version": 1
  }
}