Pith Number

pith:55IDBOBZ

pith:2014:55IDBOBZLNEO23ZP6DBAO6RDBM

not attested not anchored not stored refs pending

The role of the mean curvature in a Hardy-Sobolev trace inequality

El Hadji Abdoulaye Thiam, Ignace Aristide Minlend, Mouhamed Moustapha Fall

arxiv:1411.4414 v2 · 2014-11-17 · 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{55IDBOBZLNEO23ZP6DBAO6RDBM}

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	2026-05-18T01:35:49.709814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef5030b8395b48ed6f2ff0c2077a230b2df3379ce912b8b8d9842921d85bb32d

Aliases

arxiv: 1411.4414 · arxiv_version: 1411.4414v2 · doi: 10.48550/arxiv.1411.4414 · pith_short_12: 55IDBOBZLNEO · pith_short_16: 55IDBOBZLNEO23ZP · pith_short_8: 55IDBOBZ

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/55IDBOBZLNEO23ZP6DBAO6RDBM \
  | 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: ef5030b8395b48ed6f2ff0c2077a230b2df3379ce912b8b8d9842921d85bb32d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e3e139f809507ccbb931b8e5c1a31adb6356afdadf2ce4883975e0ee1d7d9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-17T10:11:12Z",
    "title_canon_sha256": "d3a44aaa639f0206aff30cb63696474699591b6f486622ec238b2137f8e54ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4414",
    "kind": "arxiv",
    "version": 2
  }
}