Pith Number

pith:2KTV6FHU

pith:2015:2KTV6FHU6FYRXPLG6ZYMIACNJB

not attested not anchored not stored refs pending

The Wentzel - Kramers - Brillouin approximation method applied to the Wigner function

Francisco J. Turrubiates, Jaromir Tosiek, Ruben Cordero

arxiv:1502.05497 v2 · 2015-02-19 · quant-ph · 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{2KTV6FHU6FYRXPLG6ZYMIACNJB}

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	2026-05-18T01:11:03.563932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a75f14f4f1711bbd66f670c4004d48574f6761782644dd38d3dec726368afc

Aliases

arxiv: 1502.05497 · arxiv_version: 1502.05497v2 · doi: 10.48550/arxiv.1502.05497 · pith_short_12: 2KTV6FHU6FYR · pith_short_16: 2KTV6FHU6FYRXPLG · pith_short_8: 2KTV6FHU

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/2KTV6FHU6FYRXPLG6ZYMIACNJB \
  | 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: d2a75f14f4f1711bbd66f670c4004d48574f6761782644dd38d3dec726368afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "facfbd0d71044e3c7ed3a46711ac3c7022cc2cfe1b523bc2436fe26c6f32b4f1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-02-19T08:52:45Z",
    "title_canon_sha256": "ca1fe3745df57c1d361e5ed9f70b53ce9fa28e0ee50fb5e2d7105bb8dc06bd9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05497",
    "kind": "arxiv",
    "version": 2
  }
}