Pith Number

pith:ZF5QTTKR

pith:2019:ZF5QTTKRQFNAHTY6FLYZPHABEG

not attested not anchored not stored refs pending

Sharp quantitative stability of the planar Brunn-Minkowski inequality

Hunter Spink, Marius Tiba, Peter van Hintum

arxiv:1911.11945 v1 · 2019-11-27 · 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{ZF5QTTKRQFNAHTY6FLYZPHABEG}

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	2026-07-05T00:22:28.932299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97b09cd51815a03cf1e2af1979c01218441df30bcc35bb06de655e6a355f951

Aliases

arxiv: 1911.11945 · arxiv_version: 1911.11945v1 · doi: 10.48550/arxiv.1911.11945 · pith_short_12: ZF5QTTKRQFNA · pith_short_16: ZF5QTTKRQFNAHTY6 · pith_short_8: ZF5QTTKR

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/ZF5QTTKRQFNAHTY6FLYZPHABEG \
  | 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: c97b09cd51815a03cf1e2af1979c01218441df30bcc35bb06de655e6a355f951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da0ab8e5fb80a200b52cdee9d7db06c5da40a6d1fe1a185d1cea8a576b65064",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-11-27T04:17:43Z",
    "title_canon_sha256": "3a503195ce579269e0e1be5a3225aaf67828a4f395928b11466f18462e26e7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.11945",
    "kind": "arxiv",
    "version": 1
  }
}