Pith Number

pith:OF2NYBUX

pith:2004:OF2NYBUX5MKDSONPQNW7TNJR3B

not attested not anchored not stored refs pending

The "hot spots" problem in planar domains with one hole

Krzysztof Burdzy

arxiv:math/0405472 v1 · 2004-05-25 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OF2NYBUX5MKDSONPQNW7TNJR3B}

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	2026-07-04T14:38:39.000813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7174dc0697eb143939af836df9b531d877158794dfa94af1a79bc65edc516dc0

Aliases

arxiv: math/0405472 · arxiv_version: math/0405472v1 · doi: 10.48550/arxiv.math/0405472 · pith_short_12: OF2NYBUX5MKD · pith_short_16: OF2NYBUX5MKDSONP · pith_short_8: OF2NYBUX

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/OF2NYBUX5MKDSONPQNW7TNJR3B \
  | 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: 7174dc0697eb143939af836df9b531d877158794dfa94af1a79bc65edc516dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31605919920a329dd0237f18bbec4e836c924d1b58cece0e97602ee8de9dea6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2004-05-25T16:31:32Z",
    "title_canon_sha256": "4c2f5c511a9b0eac533668d288e4d6a83b4f9badb6ea995d229e7fa59241fbc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405472",
    "kind": "arxiv",
    "version": 1
  }
}