Pith Number

pith:PQ4ZA5XL

pith:2012:PQ4ZA5XLCWW3AORVXHYQUPRWHF

not attested not anchored not stored refs pending

Tangency properties of sets with finite geometric curvature energies

Sebastian Scholtes

arxiv:1202.0472 v2 · 2012-02-02 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQ4ZA5XLCWW3AORVXHYQUPRWHF}

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	2026-05-18T03:58:39.365791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c399076eb15adb03a35b9f10a3e3639723666eec5341b9030cc7a09d36be8df

Aliases

arxiv: 1202.0472 · arxiv_version: 1202.0472v2 · doi: 10.48550/arxiv.1202.0472 · pith_short_12: PQ4ZA5XLCWW3 · pith_short_16: PQ4ZA5XLCWW3AORV · pith_short_8: PQ4ZA5XL

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/PQ4ZA5XLCWW3AORVXHYQUPRWHF \
  | 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: 7c399076eb15adb03a35b9f10a3e3639723666eec5341b9030cc7a09d36be8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c35592c55d017b3e9af19394343e49d7b959f182a62f4c6bf6e20b0df1a6fbb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-02T16:07:54Z",
    "title_canon_sha256": "d183b53e0c727792a78fb97540f29bf40a2ffc279e119346a229321f2b9ff404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0472",
    "kind": "arxiv",
    "version": 2
  }
}