Pith Number

pith:ORE6JAYZ

pith:2013:ORE6JAYZA332FWZRHSUOUAN7R4

not attested not anchored not stored refs pending

Mean-convex Alexandrov embedded constant mean curvature tori in the 3-sphere

L. Hauswirth, M. Kilian, M.U. Schmidt

arxiv:1309.4278 v2 · 2013-09-17 · 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{ORE6JAYZA332FWZRHSUOUAN7R4}

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	2026-05-18T01:19:18.878312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7449e4831906f7a2db313ca8ea01bf8f11c621f04f2f45b0357314fc5058e32e

Aliases

arxiv: 1309.4278 · arxiv_version: 1309.4278v2 · doi: 10.48550/arxiv.1309.4278 · pith_short_12: ORE6JAYZA332 · pith_short_16: ORE6JAYZA332FWZR · pith_short_8: ORE6JAYZ

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/ORE6JAYZA332FWZRHSUOUAN7R4 \
  | 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: 7449e4831906f7a2db313ca8ea01bf8f11c621f04f2f45b0357314fc5058e32e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05529a2caac71812b6d176a8e1649129cf5e0a2140f1382573126bcf3e31098e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-17T12:17:33Z",
    "title_canon_sha256": "6ea21260b474194033bed9c1612561344d1046c0fc9ee87adafc72a705217c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4278",
    "kind": "arxiv",
    "version": 2
  }
}