Pith Number

pith:W363COI6

pith:2010:W363COI62PZLBRYJ23HLPZDRWZ

not attested not anchored not stored refs pending

A partial proof of Nash's Theorem via exchangeable equilibria

Asuman Ozdaglar, Noah D. Stein, Pablo A. Parrilo

arxiv:1005.3045 v3 · 2010-05-17 · cs.GT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W363COI62PZLBRYJ23HLPZDRWZ}

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	2026-05-18T04:41:04.975916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6fdb1391ed3f2b0c709d6ceb7e471b6606ed725d7044dbd3947c2145e591d67

Aliases

arxiv: 1005.3045 · arxiv_version: 1005.3045v3 · doi: 10.48550/arxiv.1005.3045 · pith_short_12: W363COI62PZL · pith_short_16: W363COI62PZLBRYJ · pith_short_8: W363COI6

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/W363COI62PZLBRYJ23HLPZDRWZ \
  | 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: b6fdb1391ed3f2b0c709d6ceb7e471b6606ed725d7044dbd3947c2145e591d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d945c855bb192ada688b61ef8675355751cca3d2cb4740b433fce2269cc8e8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2010-05-17T20:50:45Z",
    "title_canon_sha256": "291cd3aade3ff2a5637a5ede59c5d5f01f7665fff434c1a37dd8ef8b6078a299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3045",
    "kind": "arxiv",
    "version": 3
  }
}