Pith Number

pith:5NUJNKPI

pith:2017:5NUJNKPIEARHEJUAIDM3CXR3GX

not attested not anchored not stored refs pending

Free Boundary Minimal Surfaces in the Unit Three-Ball via Desingularization of the Critical Catenoid and the Equatorial Disk

Martin Man-chun Li, Nikolaos Kapouleas

arxiv:1709.08556 v1 · 2017-09-25 · 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{5NUJNKPIEARHEJUAIDM3CXR3GX}

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	2026-05-18T00:34:25.305548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb6896a9e8202272268040d9b15e3b35cdc2e25cedb6084719958f583dc038d9

Aliases

arxiv: 1709.08556 · arxiv_version: 1709.08556v1 · doi: 10.48550/arxiv.1709.08556 · pith_short_12: 5NUJNKPIEARH · pith_short_16: 5NUJNKPIEARHEJUA · pith_short_8: 5NUJNKPI

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/5NUJNKPIEARHEJUAIDM3CXR3GX \
  | 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: eb6896a9e8202272268040d9b15e3b35cdc2e25cedb6084719958f583dc038d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ee349aa6e1adde81de2ed8e3b0a06173ad03d8bc066e78b1ee98253ffacfd5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-25T15:33:35Z",
    "title_canon_sha256": "04bbe3a9ede7e0bcd9ebc08ec800aef061d24a980aae2933e0b21f4b1ccd2470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08556",
    "kind": "arxiv",
    "version": 1
  }
}