Pith Number

pith:AHQHTYHV

pith:2012:AHQHTYHVHKVXA4ERHBM2WGWFCO

not attested not anchored not stored refs pending

Controlling Area Blow-up in Minimal or Bounded Mean Curvature Varieties

Brian White

arxiv:1207.3448 v4 · 2012-07-14 · 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{AHQHTYHVHKVXA4ERHBM2WGWFCO}

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	2026-05-18T00:58:04.785300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e079e0f53aab7070913859ab1ac51386aa7bf848370e249734ca045b3e8621

Aliases

arxiv: 1207.3448 · arxiv_version: 1207.3448v4 · doi: 10.48550/arxiv.1207.3448 · pith_short_12: AHQHTYHVHKVX · pith_short_16: AHQHTYHVHKVXA4ER · pith_short_8: AHQHTYHV

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/AHQHTYHVHKVXA4ERHBM2WGWFCO \
  | 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: 01e079e0f53aab7070913859ab1ac51386aa7bf848370e249734ca045b3e8621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30354086f383261aa6029cf6c60888e331537c3bdd6881cb432447da73a976a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-14T18:44:55Z",
    "title_canon_sha256": "4d9f173c27ef0e0d9d5095117374fff834154afc9a53cb4d72a0d2158a8ebf35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3448",
    "kind": "arxiv",
    "version": 4
  }
}