Pith Number

pith:ITJEIPZH

pith:2010:ITJEIPZHSGMSKA5AHLLUYVXZWY

not attested not anchored not stored refs pending

A quantitative isoperimetric inequality for fractional perimeters

Massimiliano Morini, Nicola Fusco, Vincent Millot

arxiv:1012.0051 v2 · 2010-11-30 · math.AP · 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{ITJEIPZHSGMSKA5AHLLUYVXZWY}

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	2026-05-18T04:28:56.562122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d2443f2791992503a03ad74c56f9b61a6b0508ed9b331bf7138b35fecab0c1

Aliases

arxiv: 1012.0051 · arxiv_version: 1012.0051v2 · doi: 10.48550/arxiv.1012.0051 · pith_short_12: ITJEIPZHSGMS · pith_short_16: ITJEIPZHSGMSKA5A · pith_short_8: ITJEIPZH

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/ITJEIPZHSGMSKA5AHLLUYVXZWY \
  | 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: 44d2443f2791992503a03ad74c56f9b61a6b0508ed9b331bf7138b35fecab0c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd931eb518a40e316ee11982f535680b7c9bdef98028d4aa7b9306fedd89f7d0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-30T22:32:31Z",
    "title_canon_sha256": "bec011519aeffaceb2d38f222e0cdbd96b95eebc25f5b28abf7ffad124505ea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0051",
    "kind": "arxiv",
    "version": 2
  }
}