Pith Number

pith:LDKLMWDX

pith:2015:LDKLMWDXWJRDDVMQ436CSGBIJW

not attested not anchored not stored refs pending

A path property of Dyson gaps, Plancherel measures for $Sp(\infty)$, and random surface growth

Mark Cerenzia

arxiv:1506.08742 v3 · 2015-06-29 · math.PR · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDKLMWDXWJRDDVMQ436CSGBIJW}

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	2026-05-18T00:19:59.619829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d4b65877b26231d590e6fc2918284da6a8c4e4636cf8b70cf45fcb0385c675

Aliases

arxiv: 1506.08742 · arxiv_version: 1506.08742v3 · doi: 10.48550/arxiv.1506.08742 · pith_short_12: LDKLMWDXWJRD · pith_short_16: LDKLMWDXWJRDDVMQ · pith_short_8: LDKLMWDX

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/LDKLMWDXWJRDDVMQ436CSGBIJW \
  | 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: 58d4b65877b26231d590e6fc2918284da6a8c4e4636cf8b70cf45fcb0385c675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2538c945c358fdc3589233ba8f29c69eec2244b7f8b36e61fb691b2977b95a3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-29T17:27:10Z",
    "title_canon_sha256": "360707550073e3dcd501b16a40c4dd1baab6bab134f93b4644f1f1fd10acc552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08742",
    "kind": "arxiv",
    "version": 3
  }
}