Pith Number

pith:63ADUYIB

pith:2010:63ADUYIB3AVQDU7BJHGU2HJOYL

not attested not anchored not stored refs pending

Closed surfaces with bounds on their Willmore energy

Ernst Kuwert, Reiner Sch\"atzle

arxiv:1009.5286 v1 · 2010-09-27 · 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{63ADUYIB3AVQDU7BJHGU2HJOYL}

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	2026-05-18T04:40:18.913893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c03a6101d82b01d3e149cd4d1d2ec2f2e506a8f63861b1eede3f95dbbb9668

Aliases

arxiv: 1009.5286 · arxiv_version: 1009.5286v1 · doi: 10.48550/arxiv.1009.5286 · pith_short_12: 63ADUYIB3AVQ · pith_short_16: 63ADUYIB3AVQDU7B · pith_short_8: 63ADUYIB

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/63ADUYIB3AVQDU7BJHGU2HJOYL \
  | 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: f6c03a6101d82b01d3e149cd4d1d2ec2f2e506a8f63861b1eede3f95dbbb9668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7d06311146af6e9c9c5c23853abd8b09276bd531f806605435f9aaacc9f20a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-27T15:22:55Z",
    "title_canon_sha256": "fdcc7771e7e1c21988fe069ba0ebb7756a66d2b1c89afd4e2d8edab22629b08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5286",
    "kind": "arxiv",
    "version": 1
  }
}