Pith Number

pith:YUTJGYYP

pith:2019:YUTJGYYPODP73QMT3N6HKEV4GP

not attested not anchored not stored refs pending

Non-cooperative Equilibria of Fermi Systems With Long Range Interactions

J.-B. Bru, W. de Siqueira Pedra

arxiv:1902.08047 v1 · 2019-02-21 · 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{YUTJGYYPODP73QMT3N6HKEV4GP}

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	2026-05-17T23:53:02.308892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c52693630f70dffdc193db7c7512bc33d83c57c71590836c705e3705d81ed9fd

Aliases

arxiv: 1902.08047 · arxiv_version: 1902.08047v1 · doi: 10.48550/arxiv.1902.08047 · pith_short_12: YUTJGYYPODP7 · pith_short_16: YUTJGYYPODP73QMT · pith_short_8: YUTJGYYP

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/YUTJGYYPODP73QMT3N6HKEV4GP \
  | 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: c52693630f70dffdc193db7c7512bc33d83c57c71590836c705e3705d81ed9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d88857e509b5bd8bd23d695aa250c629c17b18de288819ed8150d0d6f2893c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-02-21T13:45:09Z",
    "title_canon_sha256": "fd930e428d41e80fe3a4ba3541f27e55c2a04515ea3e8393b912a62b30071ad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08047",
    "kind": "arxiv",
    "version": 1
  }
}