Pith Number

pith:Z57Y5WCD

pith:2011:Z57Y5WCDGPHAQMXX5H7G2BZE5M

not attested not anchored not stored refs pending

The Lin-Ni's problem for mean convex domains

Fr\'ed\'eric Robert, Juncheng Wei, Olivier Druet

arxiv:1103.3811 v1 · 2011-03-19 · 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{Z57Y5WCDGPHAQMXX5H7G2BZE5M}

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	2026-05-18T04:26:22.273882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7f8ed84333ce0832f7e9fe6d0724eb17770ed3051b9c9716a636ec43f0bec3

Aliases

arxiv: 1103.3811 · arxiv_version: 1103.3811v1 · doi: 10.48550/arxiv.1103.3811 · pith_short_12: Z57Y5WCDGPHA · pith_short_16: Z57Y5WCDGPHAQMXX · pith_short_8: Z57Y5WCD

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/Z57Y5WCDGPHAQMXX5H7G2BZE5M \
  | 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: cf7f8ed84333ce0832f7e9fe6d0724eb17770ed3051b9c9716a636ec43f0bec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb1b80a8cfe26b16755c4428a3441e7e0f3db5325804ff31118b067debae0d40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-19T21:29:54Z",
    "title_canon_sha256": "8fdd72c2d8694c8965fea349deecf61aa11367d3ef50e984a96e9b6c65f3293e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3811",
    "kind": "arxiv",
    "version": 1
  }
}