Pith Number

pith:5CGKNBYG

pith:2019:5CGKNBYGOXNG43PZK3ZM5XJGXB

not attested not anchored not stored refs pending

Rectangular constrained Willmore minimizers and the Willmore conjecture

Cheikh Birahim Ndiaye, Lynn Heller, Sebastian Heller

arxiv:1901.05664 v2 · 2019-01-17 · 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{5CGKNBYGOXNG43PZK3ZM5XJGXB}

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	2026-05-17T23:54:42.447662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88ca6870675da6e6df956f2cedd26b8748a04cb5a0ed47690c09938453e9209

Aliases

arxiv: 1901.05664 · arxiv_version: 1901.05664v2 · doi: 10.48550/arxiv.1901.05664 · pith_short_12: 5CGKNBYGOXNG · pith_short_16: 5CGKNBYGOXNG43PZ · pith_short_8: 5CGKNBYG

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/5CGKNBYGOXNG43PZK3ZM5XJGXB \
  | 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: e88ca6870675da6e6df956f2cedd26b8748a04cb5a0ed47690c09938453e9209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e37b64bd8067be29c593fe866e4455ea1962c9da509367d2dc976f16859911",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-01-17T07:51:32Z",
    "title_canon_sha256": "a23c5263fe153519dc0b2541df4f648c9b17aea65e77646177410306605c0898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05664",
    "kind": "arxiv",
    "version": 2
  }
}