Pith Number

pith:VOP4V34X

pith:2009:VOP4V34XWL5IZIMHLMCHY5MYOB

not attested not anchored not stored refs pending

Stability of submanifolds with parallel mean curvature in calibrated manifolds

Isabel M.C. Salavessa

arxiv:0911.4689 v6 · 2009-11-24 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOP4V34XWL5IZIMHLMCHY5MYOB}

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	2026-05-18T04:38:59.272278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9fcaef97b2fa8ca1875b047c7598705d3be2c7b16a40c53f2447dc33abef15

Aliases

arxiv: 0911.4689 · arxiv_version: 0911.4689v6 · doi: 10.48550/arxiv.0911.4689 · pith_short_12: VOP4V34XWL5I · pith_short_16: VOP4V34XWL5IZIMH · pith_short_8: VOP4V34X

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/VOP4V34XWL5IZIMHLMCHY5MYOB \
  | 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: ab9fcaef97b2fa8ca1875b047c7598705d3be2c7b16a40c53f2447dc33abef15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a82efca01b5371d137df3b62eb9a60ba9cc7cb74017faec601a940dc2379e487",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-11-24T18:12:07Z",
    "title_canon_sha256": "7e1397a823b2e25abb1b431b5643348b1cc020de758c8a27df8176885b93d8fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4689",
    "kind": "arxiv",
    "version": 6
  }
}