Pith Number

pith:Z5OI6GPJ

pith:2016:Z5OI6GPJT762KJLJ5UQWYOE3FN

not attested not anchored not stored refs pending

Cylindrical Wigner measures

Marco Falconi

arxiv:1605.04778 v8 · 2016-05-16 · math.FA · math-ph · math.MP · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5OI6GPJT762KJLJ5UQWYOE3FN}

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	2026-05-18T00:00:22.846181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5c8f19e99ffda52569ed216c389b2b4f23f287925f0d0184de8a9cf0f7ea7d

Aliases

arxiv: 1605.04778 · arxiv_version: 1605.04778v8 · doi: 10.48550/arxiv.1605.04778 · pith_short_12: Z5OI6GPJT762 · pith_short_16: Z5OI6GPJT762KJLJ · pith_short_8: Z5OI6GPJ

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/Z5OI6GPJT762KJLJ5UQWYOE3FN \
  | 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: cf5c8f19e99ffda52569ed216c389b2b4f23f287925f0d0184de8a9cf0f7ea7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4174524fceda1e9e38dd41e25c85365f90382bab9e0fca411fb6e50499c432",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-16T14:08:10Z",
    "title_canon_sha256": "f1c77df0db25d97a0ff0cec88cd9e277bdeb3c93bd7c8d52077ac72c9e6e8deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04778",
    "kind": "arxiv",
    "version": 8
  }
}