Pith Number

pith:KQNV3LR7

pith:2016:KQNV3LR74CKNRGDO67GITB5AY3

not attested not anchored not stored refs pending

Sums of multiplicative characters with additive convolutions

Aleksei S. Volostnov, Ilya D. Shkredov

arxiv:1606.00358 v1 · 2016-06-01 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQNV3LR74CKNRGDO67GITB5AY3}

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	2026-05-18T01:13:05.476761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

541b5dae3fe094d8986ef7cc8987a0c6df4f6c24b7e363e029c04b60501b7099

Aliases

arxiv: 1606.00358 · arxiv_version: 1606.00358v1 · doi: 10.48550/arxiv.1606.00358 · pith_short_12: KQNV3LR74CKN · pith_short_16: KQNV3LR74CKNRGDO · pith_short_8: KQNV3LR7

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/KQNV3LR74CKNRGDO67GITB5AY3 \
  | 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: 541b5dae3fe094d8986ef7cc8987a0c6df4f6c24b7e363e029c04b60501b7099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9a94fce88f622e78df3e64487b8a42bbf4afed930b79cd2cd105dd9939424b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-01T17:01:10Z",
    "title_canon_sha256": "d7dc1db64aca545150af968cad8479ffedeafd21cbce63304af2004ab1f4790f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00358",
    "kind": "arxiv",
    "version": 1
  }
}