Pith Number

pith:EWPKPQRT

pith:2010:EWPKPQRTQV5MQJ6TA6EOSQVJUW

not attested not anchored not stored refs pending

Linear forms and quadratic uniformity for functions on $\mathbb{Z}_N$

J. Wolf, W.T. Gowers

arxiv:1002.2210 v1 · 2010-02-10 · 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{EWPKPQRTQV5MQJ6TA6EOSQVJUW}

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	2026-05-17T23:43:28.928434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

259ea7c233857ac827d30788e942a9a58eabab62ede3367d8180ebd6d3e6ad44

Aliases

arxiv: 1002.2210 · arxiv_version: 1002.2210v1 · doi: 10.48550/arxiv.1002.2210 · pith_short_12: EWPKPQRTQV5M · pith_short_16: EWPKPQRTQV5MQJ6T · pith_short_8: EWPKPQRT

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/EWPKPQRTQV5MQJ6TA6EOSQVJUW \
  | 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: 259ea7c233857ac827d30788e942a9a58eabab62ede3367d8180ebd6d3e6ad44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e00b0a056356528ede88de92d1cbc8cca0287a80c0da28c7fa8e0c91b5a36458",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-02-10T20:56:33Z",
    "title_canon_sha256": "78620ce4c876e7b63f5ed02ebe498552365f4bcad9d436c77adf71214cca8123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2210",
    "kind": "arxiv",
    "version": 1
  }
}