Pith Number

pith:EHA75QJR

pith:2012:EHA75QJRE5IHJTLLH6MTCOMMYN

not attested not anchored not stored refs pending

The $\epsilon-\epsilon^\beta$ property, the boundedness of isoperimetric sets in $\R^N$ with density, and some applications

Aldo Pratelli, Eleonora Cinti

arxiv:1209.3624 v1 · 2012-09-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EHA75QJRE5IHJTLLH6MTCOMMYN}

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	2026-05-18T03:45:23.805771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21c1fec131275074cd6b3f9931398cc3791fac4a189c23b0fb4b198d261dbf87

Aliases

arxiv: 1209.3624 · arxiv_version: 1209.3624v1 · doi: 10.48550/arxiv.1209.3624 · pith_short_12: EHA75QJRE5IH · pith_short_16: EHA75QJRE5IHJTLL · pith_short_8: EHA75QJR

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/EHA75QJRE5IHJTLLH6MTCOMMYN \
  | 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: 21c1fec131275074cd6b3f9931398cc3791fac4a189c23b0fb4b198d261dbf87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9ee0a2d2183c086be8446069a7cc34ad194075d93cbfab7ee009247a4c5c3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-17T11:02:22Z",
    "title_canon_sha256": "69a331a1f1637e8dc2586d4f06d4f53efbbab2f19589ef5adf9a1e3ef33c53ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3624",
    "kind": "arxiv",
    "version": 1
  }
}