Pith Number

pith:K33RTD2W

pith:2013:K33RTD2W7NPMNIWBMJWAFTYN2L

not attested not anchored not stored refs pending

Sharp isoperimetric inequalities via the ABP method

Joaquim Serra, Xavier Cabre, Xavier Ros-Oton

arxiv:1304.1724 v3 · 2013-04-05 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K33RTD2W7NPMNIWBMJWAFTYN2L}

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	2026-05-18T03:28:04.705486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f7198f56fb5ec6a2c1626c02cf0dd2d98c30b548435b19dd0f32a61e339182

Aliases

arxiv: 1304.1724 · arxiv_version: 1304.1724v3 · doi: 10.48550/arxiv.1304.1724 · pith_short_12: K33RTD2W7NPM · pith_short_16: K33RTD2W7NPMNIWB · pith_short_8: K33RTD2W

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/K33RTD2W7NPMNIWBMJWAFTYN2L \
  | 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: 56f7198f56fb5ec6a2c1626c02cf0dd2d98c30b548435b19dd0f32a61e339182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0acceaab5c811e5453f15594615a1b3348c4536df258962993a812afc052c100",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-05T14:25:48Z",
    "title_canon_sha256": "882d721f0085c338cc38fb1f87fb2bf12ffd297b8a175bb703be3e46034f9f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1724",
    "kind": "arxiv",
    "version": 3
  }
}