Pith Number

pith:KJSAKQNR

pith:2012:KJSAKQNRBY4YFE3LFES2FGAW5U

not attested not anchored not stored refs pending

Approximate Well-supported Nash Equilibria below Two-thirds

John Fearnley, Paul W. Goldberg, Rahul Savani, Troels Bjerre S{\o}rensen

arxiv:1204.0707 v2 · 2012-04-03 · 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{KJSAKQNRBY4YFE3LFES2FGAW5U}

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	2026-05-18T02:21:16.592681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52640541b10e3982936b2925a29816ed30196083465debe0321a22e0658613aa

Aliases

arxiv: 1204.0707 · arxiv_version: 1204.0707v2 · doi: 10.48550/arxiv.1204.0707 · pith_short_12: KJSAKQNRBY4Y · pith_short_16: KJSAKQNRBY4YFE3L · pith_short_8: KJSAKQNR

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/KJSAKQNRBY4YFE3LFES2FGAW5U \
  | 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: 52640541b10e3982936b2925a29816ed30196083465debe0321a22e0658613aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ef9bc0623222d8d68232cd2f7ba113550412cfe4252d13be5adb584a234cb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-04-03T15:17:39Z",
    "title_canon_sha256": "5bdfe81ed9c149f2d2250252a8d316567929ae197fa7717fff4573bb15151020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0707",
    "kind": "arxiv",
    "version": 2
  }
}