Pith Number

pith:6TQB4XKM

pith:2012:6TQB4XKM5LMG7HBIJW7Q4Q6UMT

not attested not anchored not stored refs pending

The Clifford torus as a self-shrinker for the Lagrangian mean curvature flow

Ana M. Lerma, Ildefonso Castro

arxiv:1202.2555 v1 · 2012-02-12 · 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{6TQB4XKM5LMG7HBIJW7Q4Q6UMT}

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	2026-05-18T03:39:28.846794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e01e5d4cead86f9c284dbf0e43d464d59c44df60d3d41a72df06bd32b62561

Aliases

arxiv: 1202.2555 · arxiv_version: 1202.2555v1 · doi: 10.48550/arxiv.1202.2555 · pith_short_12: 6TQB4XKM5LMG · pith_short_16: 6TQB4XKM5LMG7HBI · pith_short_8: 6TQB4XKM

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/6TQB4XKM5LMG7HBIJW7Q4Q6UMT \
  | 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: f4e01e5d4cead86f9c284dbf0e43d464d59c44df60d3d41a72df06bd32b62561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4811593d45668282b8e48b28c5269b47e893811f169610fd18b12177789c5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-12T18:48:01Z",
    "title_canon_sha256": "6dc1bbefebfd2cd1b9d15ab0851145c7b4a246c999816d348709247f57670f09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2555",
    "kind": "arxiv",
    "version": 1
  }
}