Pith Number

pith:HVD4P4W2

pith:2009:HVD4P4W2AOD3WNNVAUH2H5KSGL

not attested not anchored not stored refs pending

Biharmonic hypersurfaces in Riemannian manifolds

Ye-Lin Ou

arxiv:0901.1507 v3 · 2009-01-12 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVD4P4W2AOD3WNNVAUH2H5KSGL}

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	2026-05-18T04:32:20.035630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d47c7f2da0387bb35b5050fa3f55232e2acddcce7f46341811f592887694705

Aliases

arxiv: 0901.1507 · arxiv_version: 0901.1507v3 · doi: 10.48550/arxiv.0901.1507 · pith_short_12: HVD4P4W2AOD3 · pith_short_16: HVD4P4W2AOD3WNNV · pith_short_8: HVD4P4W2

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/HVD4P4W2AOD3WNNVAUH2H5KSGL \
  | 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: 3d47c7f2da0387bb35b5050fa3f55232e2acddcce7f46341811f592887694705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2762eeeb7c81216bb31551abb9e267653d9aa4d748e4033b7b5cf9b406538ee1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-01-12T16:54:40Z",
    "title_canon_sha256": "da5404549ba5ba16e922b12a46f1ffb9c2b43075fe38360b99ad85705540adf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1507",
    "kind": "arxiv",
    "version": 3
  }
}