Pith Number

pith:ZIRMWVSL

pith:2014:ZIRMWVSLX7VW7ZOKVVCIACY337

not attested not anchored not stored refs pending

A Ramsey theorem on semigroups and a general van der Corput lemma

Anush Tserunyan

arxiv:1411.3262 v2 · 2014-11-12 · math.LO · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIRMWVSLX7VW7ZOKVVCIACY337}

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	2026-05-18T00:46:21.349507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca22cb564bbfeb6fe5caad44800b1bdfd37af28b28315a72d308fd9521c8ac84

Aliases

arxiv: 1411.3262 · arxiv_version: 1411.3262v2 · doi: 10.48550/arxiv.1411.3262 · pith_short_12: ZIRMWVSLX7VW · pith_short_16: ZIRMWVSLX7VW7ZOK · pith_short_8: ZIRMWVSL

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/ZIRMWVSLX7VW7ZOKVVCIACY337 \
  | 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: ca22cb564bbfeb6fe5caad44800b1bdfd37af28b28315a72d308fd9521c8ac84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a6db0c8b5240560e50d534d66a7bc2e2c521bbd051dabe91eb0bbca3f21e35b",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-11-12T17:59:43Z",
    "title_canon_sha256": "3462d4200ed78241cbf78442262db66d12d21eea9efa4cc6b8c117b92ecc6f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3262",
    "kind": "arxiv",
    "version": 2
  }
}