Pith Number

pith:VFJA2VP7

pith:2016:VFJA2VP7Y2AYUW5LAUBAYOZMC2

not attested not anchored not stored refs pending

Approximating Nash Equilibria in Tree Polymatrix Games

Georgios Piliouras, Katrina Ligett, Siddharth Barman

arxiv:1604.02676 v1 · 2016-04-10 · 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{VFJA2VP7Y2AYUW5LAUBAYOZMC2}

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	2026-05-18T01:17:22.448368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9520d55ffc6818a5bab05020c3b2c16ab34b45386efdc48b35027310fceb93c

Aliases

arxiv: 1604.02676 · arxiv_version: 1604.02676v1 · doi: 10.48550/arxiv.1604.02676 · pith_short_12: VFJA2VP7Y2AY · pith_short_16: VFJA2VP7Y2AYUW5L · pith_short_8: VFJA2VP7

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/VFJA2VP7Y2AYUW5LAUBAYOZMC2 \
  | 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: a9520d55ffc6818a5bab05020c3b2c16ab34b45386efdc48b35027310fceb93c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbafcdc373a73dfbde854f4b0b019fca5f160309864f324220d5d9136f158f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-04-10T11:34:26Z",
    "title_canon_sha256": "682b19d4a2e17ab0fb78fd227f64379cdb62604485474c1d63fcd5920ee187fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02676",
    "kind": "arxiv",
    "version": 1
  }
}