Pith Number

pith:6YGUGMG4

pith:1999:6YGUGMG4XI2NN7K7T7TD2EQL6O

not attested not anchored not stored refs pending

The Critical Parameter for the Heat Equation with a Noise Term to Blow Up in Finite Time

Carl Mueller

arxiv:math/9902126 v1 · 1999-02-22 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YGUGMG4XI2NN7K7T7TD2EQL6O}

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	2026-05-18T04:28:28.550572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f60d4330dcba34d6fd5f9fe63d120bf391b60412329e68cc83ce93ba42da8510

Aliases

arxiv: math/9902126 · arxiv_version: math/9902126v1 · doi: 10.48550/arxiv.math/9902126 · pith_short_12: 6YGUGMG4XI2N · pith_short_16: 6YGUGMG4XI2NN7K7 · pith_short_8: 6YGUGMG4

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/6YGUGMG4XI2NN7K7T7TD2EQL6O \
  | 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: f60d4330dcba34d6fd5f9fe63d120bf391b60412329e68cc83ce93ba42da8510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f931910201e233592dc22f6ce74a6584343080b84673829b49130303b0fc69",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1999-02-22T20:01:51Z",
    "title_canon_sha256": "4ba71559d3d823c9aa1ebab91c5a6816a53ee9a2c697d24322d92bcc5b367b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9902126",
    "kind": "arxiv",
    "version": 1
  }
}