Pith Number

pith:IBPBNUII

pith:2006:IBPBNUIIM22M4QUQF66ELTKQ3N

not attested not anchored not stored refs pending

On derivation of Wigner distribution function

Siamak Khademi

arxiv:quant-ph/0608046 v1 · 2006-08-04 · 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{IBPBNUIIM22M4QUQF66ELTKQ3N}

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	2026-07-04T14:56:44.908567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405e16d10866b4ce42902fbc45cd50db5711441338fc1fd1fd0d602b5ad53f17

Aliases

arxiv: quant-ph/0608046 · arxiv_version: quant-ph/0608046v1 · doi: 10.48550/arxiv.quant-ph/0608046 · pith_short_12: IBPBNUIIM22M · pith_short_16: IBPBNUIIM22M4QUQ · pith_short_8: IBPBNUII

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/IBPBNUIIM22M4QUQF66ELTKQ3N \
  | 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: 405e16d10866b4ce42902fbc45cd50db5711441338fc1fd1fd0d602b5ad53f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a78ddf36134d77e9248f92ae6e0e28252b8da354af7963c295c4d9087cde2ac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-08-04T23:59:23Z",
    "title_canon_sha256": "20c409582805f4c4a7933be6876a9794878c181df1c815dc02e0fcfb4a87c9d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0608046",
    "kind": "arxiv",
    "version": 1
  }
}