Pith Number

pith:LXW7DQS5

pith:2015:LXW7DQS5HGSRQR7VKKYW3GOZ73

not attested not anchored not stored refs pending

On cohomogeneity one biharmonic hypersurfaces into the Euclidean space

Andrea Ratto, Cezar Oniciuc, Stefano Montaldo

arxiv:1507.03964 v1 · 2015-07-14 · 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{LXW7DQS5HGSRQR7VKKYW3GOZ73}

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	2026-05-18T01:12:08.349680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dedf1c25d39a51847f552b16d99d9fed2dc8e770faa089e1ccf6b97cfc3c043

Aliases

arxiv: 1507.03964 · arxiv_version: 1507.03964v1 · doi: 10.48550/arxiv.1507.03964 · pith_short_12: LXW7DQS5HGSR · pith_short_16: LXW7DQS5HGSRQR7V · pith_short_8: LXW7DQS5

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/LXW7DQS5HGSRQR7VKKYW3GOZ73 \
  | 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: 5dedf1c25d39a51847f552b16d99d9fed2dc8e770faa089e1ccf6b97cfc3c043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8acc92a085d3e471fbcd85aa6c99cde20ef0a5dd959f96e3b87936643304d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-14T18:56:58Z",
    "title_canon_sha256": "dceb823fdc0a34bf02abc0476e7210b02182137610cd4291223605c5a2e57704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03964",
    "kind": "arxiv",
    "version": 1
  }
}