Pith Number

pith:JIOR3ZQB

pith:2011:JIOR3ZQBF4ZGDLL3DPYT4RMLVP

not attested not anchored not stored refs pending

Biharmonic submanifolds with parallel mean curvature in $\mathbb{S}^n\times\mathbb{R}$

Cezar Oniciuc, Dorel Fetcu, Harold Rosenberg

arxiv:1109.6138 v1 · 2011-09-28 · 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{JIOR3ZQBF4ZGDLL3DPYT4RMLVP}

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	2026-05-18T04:12:09.668292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1d1de6012f3261ad7b1bf13e458babdee683e244c5cb421284df9d9afca4fe

Aliases

arxiv: 1109.6138 · arxiv_version: 1109.6138v1 · doi: 10.48550/arxiv.1109.6138 · pith_short_12: JIOR3ZQBF4ZG · pith_short_16: JIOR3ZQBF4ZGDLL3 · pith_short_8: JIOR3ZQB

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/JIOR3ZQBF4ZGDLL3DPYT4RMLVP \
  | 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: 4a1d1de6012f3261ad7b1bf13e458babdee683e244c5cb421284df9d9afca4fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0bf547214249d6aac15fdac9e5b8a7f4e8c3af770c1654a0ad1047cf44e3e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-28T09:22:14Z",
    "title_canon_sha256": "8ac08aaf4cc257a8fbc3140db1a80ee5007c9ecaa18ac7d237a78ade1e32487e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6138",
    "kind": "arxiv",
    "version": 1
  }
}