Pith Number

pith:FSBVWOVI

pith:2019:FSBVWOVID24TWW7JTVMUYRI7DU

not attested not anchored not stored refs pending

The sharp quantitative isocapacitary inequality

Ekaterina Mukoseeva, Guido De Philippis, Michele Marini

arxiv:1901.11309 v1 · 2019-01-31 · 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{FSBVWOVID24TWW7JTVMUYRI7DU}

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	2026-05-17T23:55:02.235035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c835b3aa81eb93b5be99d594c451f1d2a11e940c9aa23ca830963fbee6cb865

Aliases

arxiv: 1901.11309 · arxiv_version: 1901.11309v1 · doi: 10.48550/arxiv.1901.11309 · pith_short_12: FSBVWOVID24T · pith_short_16: FSBVWOVID24TWW7J · pith_short_8: FSBVWOVI

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/FSBVWOVID24TWW7JTVMUYRI7DU \
  | 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: 2c835b3aa81eb93b5be99d594c451f1d2a11e940c9aa23ca830963fbee6cb865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e693f3119e9412cceafb5b3ac3c465d953253b95d24191510a0f0c8889ed84c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-31T11:22:17Z",
    "title_canon_sha256": "5b070879429983bd187d1b456c68134fe0be1917097bfeae3933862b9a0e0297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11309",
    "kind": "arxiv",
    "version": 1
  }
}