Pith Number

pith:NQCRMM7M

pith:2019:NQCRMM7MAHWSITW3OKOEYHERHD

not attested not anchored not stored refs pending

The Laguerre Unitary Process

J. R. Ipsen

arxiv:1903.00176 v1 · 2019-03-01 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQCRMM7MAHWSITW3OKOEYHERHD}

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	2026-05-17T23:52:20.666832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c051633ec01ed244edb729c4c1c9138fa287413862b011e7f68731a5491a118

Aliases

arxiv: 1903.00176 · arxiv_version: 1903.00176v1 · doi: 10.48550/arxiv.1903.00176 · pith_short_12: NQCRMM7MAHWS · pith_short_16: NQCRMM7MAHWSITW3 · pith_short_8: NQCRMM7M

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/NQCRMM7MAHWSITW3OKOEYHERHD \
  | 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: 6c051633ec01ed244edb729c4c1c9138fa287413862b011e7f68731a5491a118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99881804bcd43560e69dcc5165f6e6ed69b81e5195767179e1457b248a6b647b",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-03-01T06:38:46Z",
    "title_canon_sha256": "744c4eeeace33786aa27e6c9cefaff498c97c0acbc8ed26825a8a830180f16bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00176",
    "kind": "arxiv",
    "version": 1
  }
}