Pith Number

pith:EXPY4FHZ

pith:2018:EXPY4FHZ4OEFTNUORGOHULMY4H

not attested not anchored not stored refs pending

Quantum Nash equilibrium in the thermodynamic limit

Colin Benjamin, Shubhayan Sarkar

arxiv:1806.07343 v3 · 2018-06-19 · quant-ph · cond-mat.stat-mech · cs.GT · econ.EM · physics.soc-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{EXPY4FHZ4OEFTNUORGOHULMY4H}

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	2026-05-17T23:51:54.473241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25df8e14f9e38859b68e899c7a2d98e1c8b47f37b43394a86ee966f48ffb178f

Aliases

arxiv: 1806.07343 · arxiv_version: 1806.07343v3 · doi: 10.48550/arxiv.1806.07343 · pith_short_12: EXPY4FHZ4OEF · pith_short_16: EXPY4FHZ4OEFTNUO · pith_short_8: EXPY4FHZ

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/EXPY4FHZ4OEFTNUORGOHULMY4H \
  | 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: 25df8e14f9e38859b68e899c7a2d98e1c8b47f37b43394a86ee966f48ffb178f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5b00b7e9ee2b19474e93bf722400f66ed108af6eaa4923919fd40cedebe225",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.GT",
      "econ.EM",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-06-19T16:51:06Z",
    "title_canon_sha256": "52ad1646bd6e7bd76ab24fe7f9476bb7fbe1e0016f4d3d38194498de97f735f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07343",
    "kind": "arxiv",
    "version": 3
  }
}