Pith Number

pith:OSLQC734

pith:2016:OSLQC734HTWLIEHQ5LQDUAES3Z

not attested not anchored not stored refs pending

New results on sum-products in R

Ilya D. Shkredov, Sergei Konyagin

arxiv:1602.03473 v1 · 2016-02-10 · 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{OSLQC734HTWLIEHQ5LQDUAES3Z}

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	2026-05-18T01:20:59.856218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7497017f7c3cecb410f0eae03a0092de7a8bd2f383d1efcc15fbf6d9ec50982b

Aliases

arxiv: 1602.03473 · arxiv_version: 1602.03473v1 · doi: 10.48550/arxiv.1602.03473 · pith_short_12: OSLQC734HTWL · pith_short_16: OSLQC734HTWLIEHQ · pith_short_8: OSLQC734

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/OSLQC734HTWLIEHQ5LQDUAES3Z \
  | 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: 7497017f7c3cecb410f0eae03a0092de7a8bd2f383d1efcc15fbf6d9ec50982b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efbec9c12ba832b849505f3d5af08e081bb31fac439c55e7b6829b603d28a836",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-10T18:19:21Z",
    "title_canon_sha256": "60b16bbf8e97ef8046a46d06b578e84b48a9df12efb8f69d04e06ef14ff9f0a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03473",
    "kind": "arxiv",
    "version": 1
  }
}