Pith Number

pith:MSK3IBUQ

pith:2022:MSK3IBUQ2OLCXEV6SX5RFSITU4

not attested not anchored not stored refs pending

An almost-tight $L^2$ autoconvolution inequality

Ethan Patrick White

arxiv:2210.16437 v1 · 2022-10-28 · math.CO · 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{MSK3IBUQ2OLCXEV6SX5RFSITU4}

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	2026-07-05T05:11:46.440159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6495b40690d3962b92be95fb12c913a720d85fa8c03b27d4cdb6c2db90128641

Aliases

arxiv: 2210.16437 · arxiv_version: 2210.16437v1 · doi: 10.48550/arxiv.2210.16437 · pith_short_12: MSK3IBUQ2OLC · pith_short_16: MSK3IBUQ2OLCXEV6 · pith_short_8: MSK3IBUQ

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/MSK3IBUQ2OLCXEV6SX5RFSITU4 \
  | 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: 6495b40690d3962b92be95fb12c913a720d85fa8c03b27d4cdb6c2db90128641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03752c895ae87dcbd1bc82837e61507a455038e92fcf0fa5760bbcc36b7c727a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-28T23:41:26Z",
    "title_canon_sha256": "cd07befafd252f55590edd7e61a3e136f0bc7c160d80d76d20afaeead94f842d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16437",
    "kind": "arxiv",
    "version": 1
  }
}