Pith Number

pith:HRQQREMK

pith:2011:HRQQREMKO2USPH24BS5THZAFGM

not attested not anchored not stored refs pending

Higher moments of convolutions

Ilya D. Shkredov, Tomasz Schoen

arxiv:1110.2986 v3 · 2011-10-13 · 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{HRQQREMKO2USPH24BS5THZAFGM}

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	2026-05-18T03:45:10.796723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c6108918a76a9279f5c0cbb33e4053336f46a4bca354f46db97d45de8004734

Aliases

arxiv: 1110.2986 · arxiv_version: 1110.2986v3 · doi: 10.48550/arxiv.1110.2986 · pith_short_12: HRQQREMKO2US · pith_short_16: HRQQREMKO2USPH24 · pith_short_8: HRQQREMK

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/HRQQREMKO2USPH24BS5THZAFGM \
  | 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: 3c6108918a76a9279f5c0cbb33e4053336f46a4bca354f46db97d45de8004734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb1414d4ceadbd8ad82482008f6d6a80124df61d9462cdc2893d27469e07c87",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-13T16:02:35Z",
    "title_canon_sha256": "7b4389834eb219be6710ff0983d9350a1d9534ba727d7346529e68456ac66787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2986",
    "kind": "arxiv",
    "version": 3
  }
}