Pith Number

pith:2VVJZRXX

pith:2013:2VVJZRXXTPBFU45LXF7AAIMT5L

not attested not anchored not stored refs pending

Submanifolds with parallel mean curvature vector in Riemannian and indefinite space forms

Bang-Yen Chen

arxiv:1307.0430 v1 · 2013-07-01 · 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{2VVJZRXXTPBFU45LXF7AAIMT5L}

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	2026-05-18T03:19:33.429142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56a9cc6f79bc25a73abb97e002193eaeed7a1ae45b29ce51d50e82783617ae6

Aliases

arxiv: 1307.0430 · arxiv_version: 1307.0430v1 · doi: 10.48550/arxiv.1307.0430 · pith_short_12: 2VVJZRXXTPBF · pith_short_16: 2VVJZRXXTPBFU45L · pith_short_8: 2VVJZRXX

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/2VVJZRXXTPBFU45LXF7AAIMT5L \
  | 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: d56a9cc6f79bc25a73abb97e002193eaeed7a1ae45b29ce51d50e82783617ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2711e9d6981dd4e181488f71b21ef9be8cd0a4a5ba0d247da9b279dff099b7df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-01T16:27:11Z",
    "title_canon_sha256": "5be6fe6299322e326dac38300b2de067e924553e6cbd923bebba4e5c02a706d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0430",
    "kind": "arxiv",
    "version": 1
  }
}