Pith Number

pith:V2IU2JLB

pith:2016:V2IU2JLBMPJVTDA2LC5QYGZYNA

not attested not anchored not stored refs pending

Complete minimal submanifolds with nullity in Euclidean space

A. Savas-Halilaj, M. Dajczer, Th. Kasioumis, Th. Vlachos

arxiv:1607.08649 v3 · 2016-07-28 · 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{V2IU2JLBMPJVTDA2LC5QYGZYNA}

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	2026-05-18T00:41:58.326451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae914d256163d3598c1a58bb0c1b38680fe7c42541feb0cd15985310d5e0eb25

Aliases

arxiv: 1607.08649 · arxiv_version: 1607.08649v3 · doi: 10.48550/arxiv.1607.08649 · pith_short_12: V2IU2JLBMPJV · pith_short_16: V2IU2JLBMPJVTDA2 · pith_short_8: V2IU2JLB

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/V2IU2JLBMPJVTDA2LC5QYGZYNA \
  | 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: ae914d256163d3598c1a58bb0c1b38680fe7c42541feb0cd15985310d5e0eb25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed36a46fb63d65275723c9198a9d970a9631b90463f51f075bcc3e4017e45de6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-28T21:56:44Z",
    "title_canon_sha256": "43237ebb19968a1c026e81ffb535e78732ca4df9197ca3946869241bc54a61a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08649",
    "kind": "arxiv",
    "version": 3
  }
}