Pith Number

pith:UPZ4CZJV

pith:2004:UPZ4CZJVOCNDKEMCGQLHVL6UGO

not attested not anchored not stored refs pending

Quantum Hele-Shaw flow

Haakan Hedenmalm, Nikolai Makarov

arxiv:math/0411437 v1 · 2004-11-19 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPZ4CZJVOCNDKEMCGQLHVL6UGO}

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.

Cited by

1 paper in Pith

Universality for fluctuations of counting statistics of random normal matrices

Receipt and verification

First computed	2026-05-18T03:15:21.334356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f3c16535709a35118234167aafd433877f21480fc9262444fe6f13ffc86f36

Aliases

arxiv: math/0411437 · arxiv_version: math/0411437v1 · doi: 10.48550/arxiv.math/0411437 · pith_short_12: UPZ4CZJVOCND · pith_short_16: UPZ4CZJVOCNDKEMC · pith_short_8: UPZ4CZJV

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/UPZ4CZJVOCNDKEMCGQLHVL6UGO \
  | 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: a3f3c16535709a35118234167aafd433877f21480fc9262444fe6f13ffc86f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255d3beb1f97841416ada13eb140ffd3b3e32be491b17ec4983389f40c653501",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-11-19T15:38:11Z",
    "title_canon_sha256": "4c829cf3db2844ee10a8f5cec5f8ad1f75279a9a5ba71e8c17546795f46ed9e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411437",
    "kind": "arxiv",
    "version": 1
  }
}