Pith Number

pith:LBZH5DPS

pith:2011:LBZH5DPS6UCDJWRW7SXWAWI57Q

not attested not anchored not stored refs pending

The complexity of approximate Nash equilibrium in congestion games with negative delays

Frederic Magniez, Michel de Rougemont, Miklos Santha, Xavier Zeitoun

arxiv:1102.1161 v1 · 2011-02-06 · cs.GT · cs.CC · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBZH5DPS6UCDJWRW7SXWAWI57Q}

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	2026-05-18T04:29:54.887644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58727e8df2f50434da36fcaf60591dfc284ac767afcf04932faa5cc9cd070cf0

Aliases

arxiv: 1102.1161 · arxiv_version: 1102.1161v1 · doi: 10.48550/arxiv.1102.1161 · pith_short_12: LBZH5DPS6UCD · pith_short_16: LBZH5DPS6UCDJWRW · pith_short_8: LBZH5DPS

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/LBZH5DPS6UCDJWRW7SXWAWI57Q \
  | 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: 58727e8df2f50434da36fcaf60591dfc284ac767afcf04932faa5cc9cd070cf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ccf617087b6df4dc59c7adce282e9fb7153e8e80630305f7a5b482e51288c7f",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-02-06T15:46:36Z",
    "title_canon_sha256": "3e58d01694b4d8564af802ff635b57672e27c186edf48ecba80cc208fd400bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1161",
    "kind": "arxiv",
    "version": 1
  }
}