Pith Number

pith:JOZOZ52C

pith:2024:JOZOZ52CWLESVL7Z3JLMG2UJRB

not attested not anchored not stored refs pending

Instability and Efficiency of Non-cooperative Games

Jianfeng Zhang

arxiv:2405.17196 v2 · 2024-05-27 · 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{JOZOZ52CWLESVL7Z3JLMG2UJRB}

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	2026-07-05T11:55:35.655491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb2ecf742b2c92aaff9da56c36a8988538edadd372a81cc6bd90cc258e32f72

Aliases

arxiv: 2405.17196 · arxiv_version: 2405.17196v2 · doi: 10.48550/arxiv.2405.17196 · pith_short_12: JOZOZ52CWLES · pith_short_16: JOZOZ52CWLESVL7Z · pith_short_8: JOZOZ52C

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/JOZOZ52CWLESVL7Z3JLMG2UJRB \
  | 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: 4bb2ecf742b2c92aaff9da56c36a8988538edadd372a81cc6bd90cc258e32f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf39a7389ee9d67b57ca491539cec1d7f2940ac1c097783e85ed0acea30dd6e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2024-05-27T14:19:08Z",
    "title_canon_sha256": "177e43bad612130104cdef23694fa13d3b92b6594e212e70c58fd07537e3cbb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.17196",
    "kind": "arxiv",
    "version": 2
  }
}