Pith Number

pith:TC5DTTDI

pith:2011:TC5DTTDIEUAEAP4DJ7BFPKCXMW

not attested not anchored not stored refs pending

Coulomb gas ensembles and Laplacian growth

Haakan Hedenmalm, Nikolai Makarov

arxiv:1106.2971 v3 · 2011-06-15 · math.PR · math-ph · math.CV · 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{TC5DTTDIEUAEAP4DJ7BFPKCXMW}

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

Sharp deviation inequalities for the 2D Coulomb gas and Quantum hall states, I

Receipt and verification

First computed	2026-05-18T03:07:42.607031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ba39cc682500403f834fc257a8576590f00a35e5968187444ee25c10c6b850

Aliases

arxiv: 1106.2971 · arxiv_version: 1106.2971v3 · doi: 10.48550/arxiv.1106.2971 · pith_short_12: TC5DTTDIEUAE · pith_short_16: TC5DTTDIEUAEAP4D · pith_short_8: TC5DTTDI

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/TC5DTTDIEUAEAP4DJ7BFPKCXMW \
  | 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: 98ba39cc682500403f834fc257a8576590f00a35e5968187444ee25c10c6b850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b3f44ec0730b623ea079d9ec1e24fdb438eed805277d807501a85fb594ddcd",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-15T13:54:58Z",
    "title_canon_sha256": "312367adab28db2f8037bdd60e78c5b8b13b342cc47694b244c44f7aead9c1b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2971",
    "kind": "arxiv",
    "version": 3
  }
}