Pith Number

pith:SDP7FULE

pith:2010:SDP7FULE7CLIGMG34L4WHOQZPP

not attested not anchored not stored refs pending

Biharmonic submanifolds with parallel mean curvature vector field in spheres

Adina Balmus, Cezar Oniciuc

arxiv:1011.1727 v2 · 2010-11-08 · 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{SDP7FULE7CLIGMG34L4WHOQZPP}

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	2026-05-18T04:29:53.336111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90dff2d164f8968330dbe2f963ba197be99aca086d1ed5fb2c5ff61be83be54f

Aliases

arxiv: 1011.1727 · arxiv_version: 1011.1727v2 · doi: 10.48550/arxiv.1011.1727 · pith_short_12: SDP7FULE7CLI · pith_short_16: SDP7FULE7CLIGMG3 · pith_short_8: SDP7FULE

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/SDP7FULE7CLIGMG34L4WHOQZPP \
  | 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: 90dff2d164f8968330dbe2f963ba197be99aca086d1ed5fb2c5ff61be83be54f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09785632fe56a1e7d1db0ee228b6b4076c3d283caf04ee73332decd23aefa0d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-08T08:41:42Z",
    "title_canon_sha256": "a1216b41cace7f92854a258f7945daed19f95b2989dd371a1ad89722d2f27c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1727",
    "kind": "arxiv",
    "version": 2
  }
}