Pith Number

pith:62FZFHZV

pith:2010:62FZFHZVAEAE3YXDUBPBG4TMDG

not attested not anchored not stored refs pending

The longest shortest fence and sharp Poincar\'e-Sobolev inequalities

B. Kawohl, C. Nitsch, C. Trombetti, L. Esposito, V. Ferone

arxiv:1011.6248 v1 · 2010-11-29 · math.OC · 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{62FZFHZVAEAE3YXDUBPBG4TMDG}

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	2026-05-18T04:34:36.110665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f68b929f3501004de2e3a05e13726c19b5e497577562afc82448d626d26a1f0b

Aliases

arxiv: 1011.6248 · arxiv_version: 1011.6248v1 · doi: 10.48550/arxiv.1011.6248 · pith_short_12: 62FZFHZVAEAE · pith_short_16: 62FZFHZVAEAE3YXD · pith_short_8: 62FZFHZV

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/62FZFHZVAEAE3YXDUBPBG4TMDG \
  | 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: f68b929f3501004de2e3a05e13726c19b5e497577562afc82448d626d26a1f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "952d98ff56cada1b617237e2c80d7bbdcec00418f58baef80341f140a647421a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-11-29T14:46:02Z",
    "title_canon_sha256": "a46ad9c356132c1a9ee355158a323330cd14bb22d15559def1642fa432946b0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6248",
    "kind": "arxiv",
    "version": 1
  }
}