Pith Number

pith:4TTNR7SY

pith:2008:4TTNR7SY7H2DCSYQ3JJB2YMBZ7

not attested not anchored not stored refs pending

A Hardy field extension of Szemeredi's Theorem

Mate Wierdl, Nikos Frantzikinakis

arxiv:0802.2734 v4 · 2008-02-20 · math.DS · 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{4TTNR7SY7H2DCSYQ3JJB2YMBZ7}

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	2026-05-18T03:48:23.706888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e6d8fe58f9f4314b10da521d6181cff6b4fc3cf68e68f4ec945ffae6d30edf

Aliases

arxiv: 0802.2734 · arxiv_version: 0802.2734v4 · doi: 10.48550/arxiv.0802.2734 · pith_short_12: 4TTNR7SY7H2D · pith_short_16: 4TTNR7SY7H2DCSYQ · pith_short_8: 4TTNR7SY

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/4TTNR7SY7H2DCSYQ3JJB2YMBZ7 \
  | 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: e4e6d8fe58f9f4314b10da521d6181cff6b4fc3cf68e68f4ec945ffae6d30edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8393fff693ea7e7962d7ae4b52df067c861780e1bf3b675ab88f6578cc7516f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-02-20T00:47:14Z",
    "title_canon_sha256": "24513a7aa86ca5b922b4c4070c467d0c0b532c6cf07ca074306bee2ee1e14576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2734",
    "kind": "arxiv",
    "version": 4
  }
}