Pith Number

pith:A5L7X36V

pith:2025:A5L7X36VMH3R2QINABRCX5GGDL

not attested not anchored not stored refs pending

On Berger's Isoperimetric Problem

Fan Kang

arxiv:2506.05775 v1 · 2025-06-06 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5L7X36VMH3R2QINABRCX5GGDL}

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	2026-07-05T11:17:09.633894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0757fbefd561f71d410d00622bf4c61ae2d8ff46c97e7611288e567e549eeee6

Aliases

arxiv: 2506.05775 · arxiv_version: 2506.05775v1 · doi: 10.48550/arxiv.2506.05775 · pith_short_12: A5L7X36VMH3R · pith_short_16: A5L7X36VMH3R2QIN · pith_short_8: A5L7X36V

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/A5L7X36VMH3R2QINABRCX5GGDL \
  | 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: 0757fbefd561f71d410d00622bf4c61ae2d8ff46c97e7611288e567e549eeee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8bbdf3ebaa9711975dcfff5f848a6f3a60350e50a6d061473bece2dffd789c9",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-06T06:12:06Z",
    "title_canon_sha256": "3fc20c6bc65a8ff90b84181af683c6bc6f83fd40ed9c58df603b5fffeff6a93a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05775",
    "kind": "arxiv",
    "version": 1
  }
}