Pith Number

pith:I3HVJGBE

pith:2011:I3HVJGBEZP2J7MQFCYFJNZYY6J

not attested not anchored not stored refs pending

Sharp Boundedness and Regularizing effects of the integral Menger curvature for submanifolds

Simon Blatt, S{\l}awomir Kolasi\'nski

arxiv:1110.4786 v1 · 2011-10-21 · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3HVJGBEZP2J7MQFCYFJNZYY6J}

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	2026-05-18T03:48:24.362493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46cf549824cbf49fb205160a96e718f243aacd5b58478cbe0a90197b354df42c

Aliases

arxiv: 1110.4786 · arxiv_version: 1110.4786v1 · doi: 10.48550/arxiv.1110.4786 · pith_short_12: I3HVJGBEZP2J · pith_short_16: I3HVJGBEZP2J7MQF · pith_short_8: I3HVJGBE

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/I3HVJGBEZP2J7MQFCYFJNZYY6J \
  | 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: 46cf549824cbf49fb205160a96e718f243aacd5b58478cbe0a90197b354df42c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0369e7aa3583056dd278a69d86c1b13a4c5ee4fa0a87235217ca4c7ae41d54f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-21T13:27:31Z",
    "title_canon_sha256": "020198c63c5ef7f1374200806598a33d33672192d5a04757c3de01ae4c2b8e44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4786",
    "kind": "arxiv",
    "version": 1
  }
}