Pith Number

pith:Z5BQU6LH

pith:2010:Z5BQU6LHLCWJSDLBOFWMHECJDM

not attested not anchored not stored refs pending

Linear forms and higher-degree uniformity for functions on $\mathbb{F}_p^n$

J. Wolf, W.T. Gowers

arxiv:1002.2208 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{Z5BQU6LHLCWJSDLBOFWMHECJDM}

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	2026-05-17T23:43:28.937141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf430a796758ac990d61716cc390491b3f18a6e1593b1663752cdfdbafabaa86

Aliases

arxiv: 1002.2208 · arxiv_version: 1002.2208v1 · doi: 10.48550/arxiv.1002.2208 · pith_short_12: Z5BQU6LHLCWJ · pith_short_16: Z5BQU6LHLCWJSDLB · pith_short_8: Z5BQU6LH

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/Z5BQU6LHLCWJSDLBOFWMHECJDM \
  | 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: cf430a796758ac990d61716cc390491b3f18a6e1593b1663752cdfdbafabaa86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3445e4022f476398db3088b3161cc3719abaaa2dbc9bee33cb1e09a91898a7db",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-02-10T20:59:26Z",
    "title_canon_sha256": "e36b752eec38f28ee2a3f8700dc4d3062c5b49a21b31372fa53b6ce36b023b3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2208",
    "kind": "arxiv",
    "version": 1
  }
}