Pith Number

pith:U4GALCHR

pith:2012:U4GALCHR5TKNFY6F3DGLAZIHKH

not attested not anchored not stored refs pending

An asymptotic property of Huisken's functional on minimal submanifolds of Euclidean space

Liang Cheng

arxiv:1205.3679 v4 · 2012-05-16 · 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{U4GALCHR5TKNFY6F3DGLAZIHKH}

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	2026-05-18T03:38:32.928008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70c0588f1ecd4d2e3c5d8ccb0650751d63e53d8af84d17a81e8d80dce49b088

Aliases

arxiv: 1205.3679 · arxiv_version: 1205.3679v4 · doi: 10.48550/arxiv.1205.3679 · pith_short_12: U4GALCHR5TKN · pith_short_16: U4GALCHR5TKNFY6F · pith_short_8: U4GALCHR

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/U4GALCHR5TKNFY6F3DGLAZIHKH \
  | 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: a70c0588f1ecd4d2e3c5d8ccb0650751d63e53d8af84d17a81e8d80dce49b088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2fe2add82496df0b6965231c385755cb5062482086472e6eb576d1c8150411c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-16T14:00:44Z",
    "title_canon_sha256": "5dc59fb32a99d86d95d8bd463494f7e4a0168d5aa9f7df4092cc304d40d89372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3679",
    "kind": "arxiv",
    "version": 4
  }
}