Pith Number

pith:KEBEN2SO

pith:2025:KEBEN2SOBOCDGINAB67YH46RMZ

not attested not anchored not stored refs pending

Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$

Gerard Orriols, Tristan Rivi\`ere

arxiv:2506.05141 v1 · 2025-06-05 · 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{KEBEN2SOBOCDGINAB67YH46RMZ}

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	2026-07-05T11:16:43.077761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510246ea4e0b843321a00fbf83f3d1666a4d877ac3f95991534da75f4b640680

Aliases

arxiv: 2506.05141 · arxiv_version: 2506.05141v1 · doi: 10.48550/arxiv.2506.05141 · pith_short_12: KEBEN2SOBOCD · pith_short_16: KEBEN2SOBOCDGINA · pith_short_8: KEBEN2SO

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/KEBEN2SOBOCDGINAB67YH46RMZ \
  | 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: 510246ea4e0b843321a00fbf83f3d1666a4d877ac3f95991534da75f4b640680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa9191e9c8b4cfde4049d28599a89fcdf9c96cca10ef1e0c9eab20b94dc65aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-05T15:22:55Z",
    "title_canon_sha256": "20b8ec4e33001ddf27288a3dc01ceade75ee24aed7b3dd288f7db2cfbfc1e55f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05141",
    "kind": "arxiv",
    "version": 1
  }
}