Pith Number

pith:NT7UYRFA

pith:2013:NT7UYRFAUO4XEAOF3PL776AEZ3

not attested not anchored not stored refs pending

Wigner distribution functions for complex dynamical systems: the emergence of the Wigner-Boltzmann equation

Dries Sels, Fons Brosens

arxiv:1307.8417 v1 · 2013-07-31 · cond-mat.quant-gas · cond-mat.stat-mech · 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{NT7UYRFAUO4XEAOF3PL776AEZ3}

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	2026-05-18T00:44:46.374856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cff4c44a0a3b97201c5dbd7fff804cecb7618d6cf262147a63cde7db962b905

Aliases

arxiv: 1307.8417 · arxiv_version: 1307.8417v1 · doi: 10.48550/arxiv.1307.8417 · pith_short_12: NT7UYRFAUO4X · pith_short_16: NT7UYRFAUO4XEAOF · pith_short_8: NT7UYRFA

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/NT7UYRFAUO4XEAOF3PL776AEZ3 \
  | 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: 6cff4c44a0a3b97201c5dbd7fff804cecb7618d6cf262147a63cde7db962b905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "275805c112f142195db22bf18165013684a5098d89838ebebce936456f6c492c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2013-07-31T18:38:01Z",
    "title_canon_sha256": "7cfba59c6be0720a632310d341d76a7fea05db7b819306fb904fbf7bfa183677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8417",
    "kind": "arxiv",
    "version": 1
  }
}