Pith Number

pith:2RWLGHNZ

pith:2011:2RWLGHNZZTYV5GOISG3O3QHBAI

not attested not anchored not stored refs pending

Roth's theorem in many variables

Ilya D. Shkredov, Tomasz Schoen

arxiv:1106.1601 v1 · 2011-06-08 · 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{2RWLGHNZZTYV5GOISG3O3QHBAI}

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	2026-05-18T04:20:22.684694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46cb31db9ccf15e99c891b6edc0e1023afea6fa1e2bacec9bd1342b04e1f7e5

Aliases

arxiv: 1106.1601 · arxiv_version: 1106.1601v1 · doi: 10.48550/arxiv.1106.1601 · pith_short_12: 2RWLGHNZZTYV · pith_short_16: 2RWLGHNZZTYV5GOI · pith_short_8: 2RWLGHNZ

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/2RWLGHNZZTYV5GOISG3O3QHBAI \
  | 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: d46cb31db9ccf15e99c891b6edc0e1023afea6fa1e2bacec9bd1342b04e1f7e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5225f4bae240d4731dea4b2cb284d5b2237844b817439ad1f993c62a64061d20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-08T17:13:43Z",
    "title_canon_sha256": "b9aaa2da591846535e69c9dc5989e516c0101846e2cbf84c2d2e3fecb39b8daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1601",
    "kind": "arxiv",
    "version": 1
  }
}