Pith Number

pith:JGZ3TZX4

pith:2010:JGZ3TZX4SGXIYQSLMC3F3DJOQB

not attested not anchored not stored refs pending

Embeddedness of proper minimal submanifolds in homogeneous spaces

Sung-Hong Min

arxiv:1011.4140 v1 · 2010-11-18 · 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{JGZ3TZX4SGXIYQSLMC3F3DJOQB}

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	2026-05-18T04:35:46.541993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b3b9e6fc91ae8c424b60b65d8d2e8060f85e7530a2a20904614f3c7d4b2a23

Aliases

arxiv: 1011.4140 · arxiv_version: 1011.4140v1 · doi: 10.48550/arxiv.1011.4140 · pith_short_12: JGZ3TZX4SGXI · pith_short_16: JGZ3TZX4SGXIYQSL · pith_short_8: JGZ3TZX4

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/JGZ3TZX4SGXIYQSLMC3F3DJOQB \
  | 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: 49b3b9e6fc91ae8c424b60b65d8d2e8060f85e7530a2a20904614f3c7d4b2a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b878368bfb773f86b68d8b26134265402ac47bcf2aef86e87faa19bb813c21a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-18T06:27:04Z",
    "title_canon_sha256": "ca5262c7a72c39fb0a989392936f6c31b707821184442fa94f7ea38dffd72d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4140",
    "kind": "arxiv",
    "version": 1
  }
}