Pith Number

pith:IZ7JU7PY

pith:2010:IZ7JU7PYFTGBXYTCX4VZQQ6QUX

not attested not anchored not stored refs pending

Doubling and Desingularization Constructions for Minimal Surfaces

Nikolaos Kapouleas

arxiv:1012.5788 v1 · 2010-12-28 · 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{IZ7JU7PYFTGBXYTCX4VZQQ6QUX}

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	2026-05-18T04:32:21.546130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467e9a7df82ccc1be262bf2b9843d0a5c1777bd16b6802d3b8e95558d54b45a6

Aliases

arxiv: 1012.5788 · arxiv_version: 1012.5788v1 · doi: 10.48550/arxiv.1012.5788 · pith_short_12: IZ7JU7PYFTGB · pith_short_16: IZ7JU7PYFTGBXYTC · pith_short_8: IZ7JU7PY

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/IZ7JU7PYFTGBXYTCX4VZQQ6QUX \
  | 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: 467e9a7df82ccc1be262bf2b9843d0a5c1777bd16b6802d3b8e95558d54b45a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8ebf5c65ba562887dd62d5ea3a34ba26d2dcb96082a62dd5c5e638703f8105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-28T16:27:52Z",
    "title_canon_sha256": "5ff8b1e3f42706ccdb84fb0266e6594cdee462d0e3c58a379a91f74a61e160e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5788",
    "kind": "arxiv",
    "version": 1
  }
}