Pith Number

pith:UV4GLTSZ

pith:2016:UV4GLTSZ7MVKD5JGJMMMSXGH42

not attested not anchored not stored refs pending

An interpolation proof of Ehrhard's inequality

Grigoris Paouris, Joe Neeman

arxiv:1605.07233 v1 · 2016-05-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UV4GLTSZ7MVKD5JGJMMMSXGH42}

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	2026-05-18T01:13:46.616732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a57865ce59fb2aa1f5264b18c95cc7e68a25ea6fe4dbd9e2b9833928d1434583

Aliases

arxiv: 1605.07233 · arxiv_version: 1605.07233v1 · doi: 10.48550/arxiv.1605.07233 · pith_short_12: UV4GLTSZ7MVK · pith_short_16: UV4GLTSZ7MVKD5JG · pith_short_8: UV4GLTSZ

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/UV4GLTSZ7MVKD5JGJMMMSXGH42 \
  | 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: a57865ce59fb2aa1f5264b18c95cc7e68a25ea6fe4dbd9e2b9833928d1434583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1deb666cd7aad30b884563222b6a10510e943241472972314ec82df38a29374d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-23T22:47:44Z",
    "title_canon_sha256": "379b0377e4ebfedf28a46ba6fa02b1288d65ac91f134b987bb77dc1c89ff7b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07233",
    "kind": "arxiv",
    "version": 1
  }
}