Pith Number

pith:G6M5ISXH

pith:2014:G6M5ISXHTT7CPQRH4C6RJMQUTJ

not attested not anchored not stored refs pending

Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere, I

Nikolaos Kapouleas

arxiv:1409.0226 v2 · 2014-08-31 · 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{G6M5ISXHTT7CPQRH4C6RJMQUTJ}

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	2026-05-18T01:11:18.543337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3799d44ae79cfe27c227e0bd14b2149a4abc77fdae3edc7ebc07eb6cff3e2a01

Aliases

arxiv: 1409.0226 · arxiv_version: 1409.0226v2 · doi: 10.48550/arxiv.1409.0226 · pith_short_12: G6M5ISXHTT7C · pith_short_16: G6M5ISXHTT7CPQRH · pith_short_8: G6M5ISXH

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/G6M5ISXHTT7CPQRH4C6RJMQUTJ \
  | 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: 3799d44ae79cfe27c227e0bd14b2149a4abc77fdae3edc7ebc07eb6cff3e2a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9afdfa9906453924655dadf525e44884fb54413562c42035fd6251c42708f2bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-31T14:58:25Z",
    "title_canon_sha256": "9af02120019d1409abde5413ca0b51fb4075f2b72a52e0c2675ad88f1972debf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0226",
    "kind": "arxiv",
    "version": 2
  }
}