Pith Number

pith:XMJEC7ID

pith:2012:XMJEC7IDA6ZDQCI3SQAWRXA44M

not attested not anchored not stored refs pending

Wigner phase space distribution as a wave function

Denys I. Bondar, Dmitry V. Zhdanov, Herschel A. Rabitz, Renan Cabrera

arxiv:1202.3628 v4 · 2012-02-16 · quant-ph · math-ph · math.MP · physics.atom-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{XMJEC7IDA6ZDQCI3SQAWRXA44M}

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	2026-05-18T03:06:52.027753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb12417d0307b238091b940168dc1ce33009d72629b700b3f6209034058ea751

Aliases

arxiv: 1202.3628 · arxiv_version: 1202.3628v4 · doi: 10.48550/arxiv.1202.3628 · pith_short_12: XMJEC7IDA6ZD · pith_short_16: XMJEC7IDA6ZDQCI3 · pith_short_8: XMJEC7ID

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/XMJEC7IDA6ZDQCI3SQAWRXA44M \
  | 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: bb12417d0307b238091b940168dc1ce33009d72629b700b3f6209034058ea751

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ef0384fdd4f323d12a5a44cc52cfab189ab5b2b3042db29989d50750b68983",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-16T15:50:35Z",
    "title_canon_sha256": "0f98dac8f55e12508697b394e72e5832fcbadb1324ef17e45e9eaf5246d9f6c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3628",
    "kind": "arxiv",
    "version": 4
  }
}