Pith Number

pith:H3QCKTNO

pith:2016:H3QCKTNOZRSOQHQYHSJMPVISKD

not attested not anchored not stored refs pending

The sharp quantitative Euclidean concentration inequality

Alessio Figalli, Connor Mooney, Francesco Maggi

arxiv:1601.04100 v3 · 2016-01-16 · math.AP · 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{H3QCKTNOZRSOQHQYHSJMPVISKD}

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	2026-05-18T01:09:32.112149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee0254daecc64e81e183c92c7d51250fd3d05e0d4f76c3e786bfe172e36aebb

Aliases

arxiv: 1601.04100 · arxiv_version: 1601.04100v3 · doi: 10.48550/arxiv.1601.04100 · pith_short_12: H3QCKTNOZRSO · pith_short_16: H3QCKTNOZRSOQHQY · pith_short_8: H3QCKTNO

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/H3QCKTNOZRSOQHQYHSJMPVISKD \
  | 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: 3ee0254daecc64e81e183c92c7d51250fd3d05e0d4f76c3e786bfe172e36aebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf2808c3e4f005ab04aca47e66364f5c4c2acb6c859ab252fdd050ead426bbf7",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-16T00:49:47Z",
    "title_canon_sha256": "c7189cea8214157bf6d4dd06adddad74e5ebc9912695628c3cfa5fc4f6e3ae72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04100",
    "kind": "arxiv",
    "version": 3
  }
}