Pith Number

pith:VN6MM3FW

pith:2013:VN6MM3FWUWFLQPXHGCV34IWL7C

not attested not anchored not stored refs pending

Concentration of small Willmore spheres in Riemannian 3-manifolds

Andrea Mondino, Paul Laurain

arxiv:1310.7082 v1 · 2013-10-26 · 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{VN6MM3FWUWFLQPXHGCV34IWL7C}

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	2026-05-17T23:46:56.047081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab7cc66cb6a58ab83ee730abbe22cbf8b386c489712ff136f8ce0d66967644e3

Aliases

arxiv: 1310.7082 · arxiv_version: 1310.7082v1 · doi: 10.48550/arxiv.1310.7082 · pith_short_12: VN6MM3FWUWFL · pith_short_16: VN6MM3FWUWFLQPXH · pith_short_8: VN6MM3FW

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/VN6MM3FWUWFLQPXHGCV34IWL7C \
  | 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: ab7cc66cb6a58ab83ee730abbe22cbf8b386c489712ff136f8ce0d66967644e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a149dc9ab5be122daf7b7c6f6fa4d139c5c8047e4938d9cda21e90a7f14cb8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-26T08:18:28Z",
    "title_canon_sha256": "2a19f5012134322ab7c54e41080f8d50c6edeef82ca0c8fd8362bfeea9fdd108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7082",
    "kind": "arxiv",
    "version": 1
  }
}