Pith Number

pith:VSZUSRSX

pith:2002:VSZUSRSXFQMJTTWHBYDBQDOCCN

not attested not anchored not stored refs pending

Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds

Olaf M\"uller

arxiv:math/0210352 v5 · 2002-10-22 · math.DG · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSZUSRSXFQMJTTWHBYDBQDOCCN}

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	2026-05-18T01:14:26.437001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb34946572c1899cec70e06180dc213466a140268f84caf839381ccc798443b

Aliases

arxiv: math/0210352 · arxiv_version: math/0210352v5 · doi: 10.48550/arxiv.math/0210352 · pith_short_12: VSZUSRSXFQMJ · pith_short_16: VSZUSRSXFQMJTTWH · pith_short_8: VSZUSRSX

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/VSZUSRSXFQMJTTWHBYDBQDOCCN \
  | 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: acb34946572c1899cec70e06180dc213466a140268f84caf839381ccc798443b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a37052149131b21c7790b3a3c159f03e80c03472d6be57168ed7dab5d3fb92",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-10-22T19:21:22Z",
    "title_canon_sha256": "821722d40402a8e7a5842dbbd1961aba81bfdbb68fcb72cf51f506a1c34b2997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210352",
    "kind": "arxiv",
    "version": 5
  }
}