Pith Number

pith:PWHB5JKI

pith:2011:PWHB5JKI4JNZDB5GP2X4RLJZE4

not attested not anchored not stored refs pending

Nash equilibrium in quantum superpositions

Faisal Shah Khan, Simon. J.D. Phoenix

arxiv:1106.3019 v1 · 2011-06-15 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWHB5JKI4JNZDB5GP2X4RLJZE4}

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	2026-05-18T04:19:55.157209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d8e1ea548e25b9187a67eafc8ad39271e8e7eebfedb2c72f4696d24e424dfc0

Aliases

arxiv: 1106.3019 · arxiv_version: 1106.3019v1 · doi: 10.48550/arxiv.1106.3019 · pith_short_12: PWHB5JKI4JNZ · pith_short_16: PWHB5JKI4JNZDB5G · pith_short_8: PWHB5JKI

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/PWHB5JKI4JNZDB5GP2X4RLJZE4 \
  | 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: 7d8e1ea548e25b9187a67eafc8ad39271e8e7eebfedb2c72f4696d24e424dfc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e7852058188a74fc96c6979484b11e1d97c2765acdbc088b054193b7814821",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-06-15T16:37:47Z",
    "title_canon_sha256": "6ba9e29dd849dc881d201358d6513604939481ab09228e3ffb17abe8c476ceeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3019",
    "kind": "arxiv",
    "version": 1
  }
}