Pith Number

pith:DWQIBPXD

pith:2017:DWQIBPXDRFFP32LSXGAPW2VFVZ

not attested not anchored not stored refs pending

Strong and safe Nash equilibrium in some repeated 3-player games

Joanna Zwierzchowska, S{\l}awomir Plaskacz, Tadeusz Kufel

arxiv:1711.10929 v2 · 2017-11-29 · 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{DWQIBPXDRFFP32LSXGAPW2VFVZ}

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	2026-05-18T00:15:58.515537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1da080bee3894afde972b980fb6aa5ae4da1b620aedc04a726086ef2a7fd69ed

Aliases

arxiv: 1711.10929 · arxiv_version: 1711.10929v2 · doi: 10.48550/arxiv.1711.10929 · pith_short_12: DWQIBPXDRFFP · pith_short_16: DWQIBPXDRFFP32LS · pith_short_8: DWQIBPXD

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/DWQIBPXDRFFP32LSXGAPW2VFVZ \
  | 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: 1da080bee3894afde972b980fb6aa5ae4da1b620aedc04a726086ef2a7fd69ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9ce98022fe4f21c3af6e5c99725b4e9a8607a20cbfea4ab5d5ad89381fa0d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-29T16:00:59Z",
    "title_canon_sha256": "d333abdcae08d94de650c402d31ee0c04e130de0eb4143015de2b4672f262aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10929",
    "kind": "arxiv",
    "version": 2
  }
}