Pith Number

pith:5PH2SBVW

pith:2012:5PH2SBVWFOKLTU4YRWLJU25LT2

not attested not anchored not stored refs pending

The Closure of Spectral Data for Constant Mean Curvature Tori in $ S ^ 3 $

Emma Carberry, Martin Ulrich Schmidt

arxiv:1202.4517 v1 · 2012-02-21 · 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{5PH2SBVWFOKLTU4YRWLJU25LT2}

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	2026-05-18T00:56:47.151567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebcfa906b62b94b9d3988d969a6bab9e94811d992172a2dcfa5ae864a75c4e1b

Aliases

arxiv: 1202.4517 · arxiv_version: 1202.4517v1 · doi: 10.48550/arxiv.1202.4517 · pith_short_12: 5PH2SBVWFOKL · pith_short_16: 5PH2SBVWFOKLTU4Y · pith_short_8: 5PH2SBVW

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/5PH2SBVWFOKLTU4YRWLJU25LT2 \
  | 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: ebcfa906b62b94b9d3988d969a6bab9e94811d992172a2dcfa5ae864a75c4e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e608f83d5bc59e64d81e80153bd541351bef495ab3abcf911cb403d2e620ad",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-21T02:55:15Z",
    "title_canon_sha256": "79a0474b01af9b67a7d392bd5216a55a4ba7af42e47b69fd957d5bf228f9d687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4517",
    "kind": "arxiv",
    "version": 1
  }
}