Pith Number

pith:BU7ZAIIY

pith:2010:BU7ZAIIYJEKUVEABGZZVSW4ZBX

not attested not anchored not stored refs pending

Minimizers of the Willmore functional under fixed conformal class

Ernst Kuwert, Reiner Sch\"atzle

arxiv:1009.6168 v1 · 2010-09-30 · 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{BU7ZAIIYJEKUVEABGZZVSW4ZBX}

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	2026-05-18T04:40:00.950142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d3f90211849154a90013673595b990dce1fe1c250a1af1385ceb9b206cae3e0

Aliases

arxiv: 1009.6168 · arxiv_version: 1009.6168v1 · doi: 10.48550/arxiv.1009.6168 · pith_short_12: BU7ZAIIYJEKU · pith_short_16: BU7ZAIIYJEKUVEAB · pith_short_8: BU7ZAIIY

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/BU7ZAIIYJEKUVEABGZZVSW4ZBX \
  | 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: 0d3f90211849154a90013673595b990dce1fe1c250a1af1385ceb9b206cae3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5458a41f2375a81d651f7ff2cfc20b783bfdb26a7f17f6e698dc6a139b6b2a15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-30T15:31:23Z",
    "title_canon_sha256": "dff6447aeee3ce69156462a6ec2e3196063103a1ea04a66ccb84b4f4b56d2765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6168",
    "kind": "arxiv",
    "version": 1
  }
}