Pith Number

pith:L4M5PZOJ

pith:2014:L4M5PZOJRUGTQ6YXFQTVMKZ2U4

not attested not anchored not stored refs pending

The Prevalence of Tori amongst Constant Mean Curvature Planes in $\mathbb{R}^3$

Emma Carberry, Martin Ulrich Schmidt

arxiv:1407.7986 v1 · 2014-07-30 · 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{L4M5PZOJRUGTQ6YXFQTVMKZ2U4}

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	2026-05-18T01:05:46.539215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f19d7e5c98d0d387b172c27562b3aa701c37e5c74bdf4897d80f4f66deec460

Aliases

arxiv: 1407.7986 · arxiv_version: 1407.7986v1 · doi: 10.48550/arxiv.1407.7986 · pith_short_12: L4M5PZOJRUGT · pith_short_16: L4M5PZOJRUGTQ6YX · pith_short_8: L4M5PZOJ

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/L4M5PZOJRUGTQ6YXFQTVMKZ2U4 \
  | 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: 5f19d7e5c98d0d387b172c27562b3aa701c37e5c74bdf4897d80f4f66deec460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad42a1225f028f027880e8d586e3ab6b316fd5f0c9d245d15a5e8cf5c6eec58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-07-30T10:12:39Z",
    "title_canon_sha256": "49c3f613da9bf17a65cd598573f5ea71f8b9824ee69dfd4781af48e4ed9cefc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7986",
    "kind": "arxiv",
    "version": 1
  }
}