Pith Number

pith:NQ2RLV3F

pith:2009:NQ2RLV3FTVC36BUWFTIYDZIEJV

not attested not anchored not stored refs pending

Uniform Approximation by Complete Minimal Surfaces of Finite Total Curvature in $\mathbb{R}^3$

Francisco J. Lopez

arxiv:0903.3209 v7 · 2009-03-18 · math.DG · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQ2RLV3FTVC36BUWFTIYDZIEJV}

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	2026-05-18T02:24:56.242694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3515d7659d45bf06962cd181e5044d69b1ccdb1985d349a65ffd2d47f33872

Aliases

arxiv: 0903.3209 · arxiv_version: 0903.3209v7 · doi: 10.48550/arxiv.0903.3209 · pith_short_12: NQ2RLV3FTVC3 · pith_short_16: NQ2RLV3FTVC36BUW · pith_short_8: NQ2RLV3F

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/NQ2RLV3FTVC36BUWFTIYDZIEJV \
  | 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: 6c3515d7659d45bf06962cd181e5044d69b1ccdb1985d349a65ffd2d47f33872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5472b78a6930170a298920f30fd1b461c7213fa377103ef92f10ba275ff67339",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-18T17:44:58Z",
    "title_canon_sha256": "bb371e73216c78b6c5c613767c90ab8838d8c7f55ed2a5588a91d96117fb65bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3209",
    "kind": "arxiv",
    "version": 7
  }
}