Pith Number

pith:4TASBKQE

pith:2003:4TASBKQEO22HTSII7WAJ4JVENE

not attested not anchored not stored refs pending

Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process

Balint Virag, Yuval Peres

arxiv:math/0310297 v4 · 2003-10-19 · math.PR · 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{4TASBKQEO22HTSII7WAJ4JVENE}

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	2026-05-18T04:08:43.031821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c120aa0476b479c908fd809e26a4691b1e770169187b741244d6235447f5f7

Aliases

arxiv: math/0310297 · arxiv_version: math/0310297v4 · doi: 10.48550/arxiv.math/0310297 · pith_short_12: 4TASBKQEO22H · pith_short_16: 4TASBKQEO22HTSII · pith_short_8: 4TASBKQE

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/4TASBKQEO22HTSII7WAJ4JVENE \
  | 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: e4c120aa0476b479c908fd809e26a4691b1e770169187b741244d6235447f5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1bb1baead6895b2072022e53f72c378fb67e31ddd9a08633272ce3a2d97d1a6",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-10-19T23:09:43Z",
    "title_canon_sha256": "98b645904eb648ce310a3add40881eff34c624cfa7619c378a37fc5de027e8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310297",
    "kind": "arxiv",
    "version": 4
  }
}