Pith Number

pith:OVNXM34H

pith:2023:OVNXM34HDAXKZP2AXAGBCCYWBF

not attested not anchored not stored refs pending

Locality in Sumsets

Peter Keevash, Peter van Hintum

arxiv:2304.01189 v2 · 2023-04-03 · math.CO · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVNXM34HDAXKZP2AXAGBCCYWBF}

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.

Cited by

1 paper in Pith

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Receipt and verification

First computed	2026-07-05T07:51:27.272899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

755b766f87182eacbf40b80c110b16094c21f0b53b7ea419c76e61b7ae1e2187

Aliases

arxiv: 2304.01189 · arxiv_version: 2304.01189v2 · doi: 10.48550/arxiv.2304.01189 · pith_short_12: OVNXM34HDAXK · pith_short_16: OVNXM34HDAXKZP2A · pith_short_8: OVNXM34H

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/OVNXM34HDAXKZP2AXAGBCCYWBF \
  | 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: 755b766f87182eacbf40b80c110b16094c21f0b53b7ea419c76e61b7ae1e2187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd78d1df37610392f4862b6ee1cb449a2fe2c24b3f4392fd250daee74693749",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-04-03T17:56:12Z",
    "title_canon_sha256": "3d7d3370c76708b97d4bd670faa0c3949062d21133e2495c50136b6bf1431577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.01189",
    "kind": "arxiv",
    "version": 2
  }
}