Pith Number

pith:VVZVTZXJ

pith:2013:VVZVTZXJGNYECLAXIYA5ACAE27

not attested not anchored not stored refs pending

Approximate Nash Equilibria via Sampling

Ron Peretz, Yakov Babichenko

arxiv:1307.4934 v1 · 2013-07-18 · 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{VVZVTZXJGNYECLAXIYA5ACAE27}

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	2026-05-18T03:18:07.154944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad7359e6e93370412c174601d00804d7c25c3001df5bc320dba21fd0aa484bf0

Aliases

arxiv: 1307.4934 · arxiv_version: 1307.4934v1 · doi: 10.48550/arxiv.1307.4934 · pith_short_12: VVZVTZXJGNYE · pith_short_16: VVZVTZXJGNYECLAX · pith_short_8: VVZVTZXJ

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/VVZVTZXJGNYECLAXIYA5ACAE27 \
  | 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: ad7359e6e93370412c174601d00804d7c25c3001df5bc320dba21fd0aa484bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e67da7ce525d9dcd603db7d51a2fc112a0f03c1db83404d9a813015853b0bed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-07-18T13:23:47Z",
    "title_canon_sha256": "b546660ec47202b9d725e02f17876c149fab1e4b5559fb97ae24a28069416f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4934",
    "kind": "arxiv",
    "version": 1
  }
}