Pith Number

pith:LA2KBJUE

pith:2015:LA2KBJUEAHH3C42FEZ2GLTECYM

not attested not anchored not stored refs pending

Large Supports are required for Well-Supported Nash Equilibria

Adrian Vetta, Hao Huang, Hehui Wu, Sergey Norin, Shachar Lovett, Yogesh Anbalagan

arxiv:1504.03602 v1 · 2015-04-14 · cs.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA2KBJUEAHH3C42FEZ2GLTECYM}

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	2026-05-18T02:18:50.423840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5834a0a68401cfb17345267465cc82c33388ff51514dc9f446895fb33ce027be

Aliases

arxiv: 1504.03602 · arxiv_version: 1504.03602v1 · doi: 10.48550/arxiv.1504.03602 · pith_short_12: LA2KBJUEAHH3 · pith_short_16: LA2KBJUEAHH3C42F · pith_short_8: LA2KBJUE

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/LA2KBJUEAHH3C42FEZ2GLTECYM \
  | 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: 5834a0a68401cfb17345267465cc82c33388ff51514dc9f446895fb33ce027be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01770e6093d5daa47034c5487b8675018ff35f02551ef9a90f0fea197c7b83f8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-04-14T16:07:57Z",
    "title_canon_sha256": "feac9d3aa2feee38a498967d18f399ed0e38c87f6539619d0c4e27e32a4bef74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03602",
    "kind": "arxiv",
    "version": 1
  }
}