Pith Number

pith:72AS5LGB

pith:2013:72AS5LGB5YXSPQSRGARLL47YFH

not attested not anchored not stored refs pending

Sp(2,$\mathbb{Z}$) invariant Wigner function on even dimensional vector space

Akihisa Hayashi, Minoru Horibe, Takaaki Hashimoto

arxiv:1301.7541 v1 · 2013-01-31 · 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{72AS5LGB5YXSPQSRGARLL47YFH}

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	2026-05-18T03:34:49.301381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe812eacc1ee2f27c2513022b5f3f829fa079433404235267107b3a523623f26

Aliases

arxiv: 1301.7541 · arxiv_version: 1301.7541v1 · doi: 10.48550/arxiv.1301.7541 · pith_short_12: 72AS5LGB5YXS · pith_short_16: 72AS5LGB5YXSPQSR · pith_short_8: 72AS5LGB

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/72AS5LGB5YXSPQSRGARLL47YFH \
  | 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: fe812eacc1ee2f27c2513022b5f3f829fa079433404235267107b3a523623f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ae9f4761c3eba2f4a1cf0c7afafe1b7f37baddc739e0b81f80efe360fe54f2",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-31T08:24:30Z",
    "title_canon_sha256": "a14da07c863142a1d38d5bb64ae1cdd921617c2fa1e0cac339b515b1bfa3a928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7541",
    "kind": "arxiv",
    "version": 1
  }
}