Pith Number

pith:Z6IO6GXF

pith:2013:Z6IO6GXFRUGCOSA4TS4SK2GHG5

not attested not anchored not stored refs pending

Path-integral approach to the Wigner-Kirkwood expansion

Petr Jizba, Vaclav Zatloukal

arxiv:1309.0206 v2 · 2013-09-01 · cond-mat.stat-mech · math-ph · math.MP · 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{Z6IO6GXFRUGCOSA4TS4SK2GHG5}

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	2026-05-18T03:01:24.150643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf90ef1ae58d0c27481c9cb92568c7374299e4f83c9af50937aebf2ffbd9ecca

Aliases

arxiv: 1309.0206 · arxiv_version: 1309.0206v2 · doi: 10.48550/arxiv.1309.0206 · pith_short_12: Z6IO6GXFRUGC · pith_short_16: Z6IO6GXFRUGCOSA4 · pith_short_8: Z6IO6GXF

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/Z6IO6GXFRUGCOSA4TS4SK2GHG5 \
  | 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: cf90ef1ae58d0c27481c9cb92568c7374299e4f83c9af50937aebf2ffbd9ecca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5672fa920b8a97635b89743a9fafe877a3f43426348a9cfabcf73239529511bd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-09-01T11:44:42Z",
    "title_canon_sha256": "318407b040b193337754bce2ca3fac4a8b4c5f8d7a143166bc284835c0de854c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0206",
    "kind": "arxiv",
    "version": 2
  }
}