Pith Number

pith:NJT5MNO7

pith:2023:NJT5MNO7DKZL5XLFIHHSA7WQ45

not attested not anchored not stored refs pending

Tight lower bounds for anti-concentration of Rademacher sums and Tomaszewski's counterpart problem

Julien Portier, Lawrence Hollom

arxiv:2306.07811 v1 · 2023-06-13 · math.CO · 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{NJT5MNO7DKZL5XLFIHHSA7WQ45}

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	2026-07-05T06:20:09.229436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a67d635df1ab2bedd6541cf207ed0e766e145246f65290785a56be32bb3746b

Aliases

arxiv: 2306.07811 · arxiv_version: 2306.07811v1 · doi: 10.48550/arxiv.2306.07811 · pith_short_12: NJT5MNO7DKZL · pith_short_16: NJT5MNO7DKZL5XLF · pith_short_8: NJT5MNO7

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/NJT5MNO7DKZL5XLFIHHSA7WQ45 \
  | 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: 6a67d635df1ab2bedd6541cf207ed0e766e145246f65290785a56be32bb3746b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c0eadd262f5e7b3ce27d57e07a2d78fb7f3843810f47f40ece8a9cca1bcfe8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-13T14:39:09Z",
    "title_canon_sha256": "da230e8f8ad731c27356fbc9768097cf35570a8a4a64e68d2b6be613f720c0e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.07811",
    "kind": "arxiv",
    "version": 1
  }
}