Pith Number

pith:KE73FLUF

pith:2012:KE73FLUFW65EN5TI6BLMVJOW22

not attested not anchored not stored refs pending

On minimal spheres of area $4\pi$ and rigidity

Harold Rosenberg, Laurent Mazet

arxiv:1208.6151 v3 · 2012-08-30 · 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{KE73FLUFW65EN5TI6BLMVJOW22}

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	2026-05-18T03:07:41.309967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513fb2ae85b7ba46f668f056caa5d6d6a0acdb24f3be1e25c662b6f20c0ea5ac

Aliases

arxiv: 1208.6151 · arxiv_version: 1208.6151v3 · doi: 10.48550/arxiv.1208.6151 · pith_short_12: KE73FLUFW65E · pith_short_16: KE73FLUFW65EN5TI · pith_short_8: KE73FLUF

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/KE73FLUFW65EN5TI6BLMVJOW22 \
  | 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: 513fb2ae85b7ba46f668f056caa5d6d6a0acdb24f3be1e25c662b6f20c0ea5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea6eac2c06b132d8553987a6ac3dcb802871f633065898e2043136da6e5108fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-30T12:30:41Z",
    "title_canon_sha256": "4ed207a70b482628b8f7dcadadf58d92e498dfc3e6690e6e4a541b1afab857c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6151",
    "kind": "arxiv",
    "version": 3
  }
}