Pith Number

pith:PW2AE2HS

pith:2018:PW2AE2HSGIZHG4L5CFBGONIAQM

not attested not anchored not stored refs pending

Nash embedding and equilibrium in pure quantum states

Faisal Shah Khan, Travis S. Humble

arxiv:1801.02053 v2 · 2018-01-06 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PW2AE2HSGIZHG4L5CFBGONIAQM}

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	2026-05-17T23:55:03.628460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db40268f2323273717d1142673500830668d60b59444f01171731a5d3335bfc

Aliases

arxiv: 1801.02053 · arxiv_version: 1801.02053v2 · doi: 10.48550/arxiv.1801.02053 · pith_short_12: PW2AE2HSGIZH · pith_short_16: PW2AE2HSGIZHG4L5 · pith_short_8: PW2AE2HS

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/PW2AE2HSGIZHG4L5CFBGONIAQM \
  | 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: 7db40268f2323273717d1142673500830668d60b59444f01171731a5d3335bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80eec1d01b32a6911c58d6bc9166902dafcbf032c11deb82228c0619e88df28",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-01-06T17:15:31Z",
    "title_canon_sha256": "0ae6644a6dd0a6735ac66131ee3b90c93974afba6be37113b35df495b9010666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02053",
    "kind": "arxiv",
    "version": 2
  }
}