Pith Number

pith:HDLBVOZB

pith:2026:HDLBVOZBGVTEUGFYCXEUS3XIJM

not attested not anchored not stored refs pending

P\'olya--Schur problems and free probability

Andrew Campbell, Jonas Jalowy

arxiv:2605.31356 v1 · 2026-05-29 · math.PR · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDLBVOZBGVTEUGFYCXEUS3XIJM}

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	2026-06-01T02:04:00.552287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38d61abb2135664a18b815c9496ee84b26ab5be6985adc26b31db25ade832e53

Aliases

arxiv: 2605.31356 · arxiv_version: 2605.31356v1 · doi: 10.48550/arxiv.2605.31356 · pith_short_12: HDLBVOZBGVTE · pith_short_16: HDLBVOZBGVTEUGFY · pith_short_8: HDLBVOZB

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/HDLBVOZBGVTEUGFYCXEUS3XIJM \
  | 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: 38d61abb2135664a18b815c9496ee84b26ab5be6985adc26b31db25ade832e53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e229e856b7ab87f60955f1afe8fa35b4f4d884772fd697e12dfde7b0287d351",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-29T14:30:41Z",
    "title_canon_sha256": "fb6fa18f3e799564132dddeaf68f654f5a48410a916de47c4523e07a2e48f56d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31356",
    "kind": "arxiv",
    "version": 1
  }
}