Pith Number

pith:MNJQIZOK

pith:2015:MNJQIZOK4PCO5PXN6BYKWEOA6Y

not attested not anchored not stored refs pending

Nash equilibrium with Sugeno payoff

Taras Radul

arxiv:1502.07259 v2 · 2015-02-25 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNJQIZOK4PCO5PXN6BYKWEOA6Y}

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	2026-05-18T02:23:25.996121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63530465cae3c4eebeedf070ab11c0f6193d7ac0eeaf15c49bf4fe4486dbce19

Aliases

arxiv: 1502.07259 · arxiv_version: 1502.07259v2 · doi: 10.48550/arxiv.1502.07259 · pith_short_12: MNJQIZOK4PCO · pith_short_16: MNJQIZOK4PCO5PXN · pith_short_8: MNJQIZOK

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/MNJQIZOK4PCO5PXN6BYKWEOA6Y \
  | 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: 63530465cae3c4eebeedf070ab11c0f6193d7ac0eeaf15c49bf4fe4486dbce19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfdf6752a60ecf901b0e7da1aad9d5afeb5b88161ac7b22cfc0d8858cf784d22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-02-25T17:17:44Z",
    "title_canon_sha256": "716c3409925ee5b6c76c5dc3c20bdfd5974e7b889e9cfb917bcf4970e9322a4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07259",
    "kind": "arxiv",
    "version": 2
  }
}