Pith Number

pith:HGSGRJAY

pith:2010:HGSGRJAYX4DBUUIIZHXK5ITZXI

not attested not anchored not stored refs pending

An inverse theorem for the Gowers U^{s+1}[N]-norm (announcement)

Ben Green, Tamar Ziegler, Terence Tao

arxiv:1006.0205 v4 · 2010-06-01 · math.NT · 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{HGSGRJAYX4DBUUIIZHXK5ITZXI}

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	2026-05-18T04:21:10.851085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a468a418bf061a5108c9eeaea279ba1962260e8d0c02fa697a44f1f42d76bf

Aliases

arxiv: 1006.0205 · arxiv_version: 1006.0205v4 · doi: 10.48550/arxiv.1006.0205 · pith_short_12: HGSGRJAYX4DB · pith_short_16: HGSGRJAYX4DBUUII · pith_short_8: HGSGRJAY

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/HGSGRJAYX4DBUUIIZHXK5ITZXI \
  | 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: 39a468a418bf061a5108c9eeaea279ba1962260e8d0c02fa697a44f1f42d76bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cbfc4b58820a432baaa54d9820eaee9e25232b8781ae17f8183ca30b2fee0b0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-01T18:08:16Z",
    "title_canon_sha256": "f967b18eaacf8caccf1c923a717afac89b2a034c81d3a3b4e6bbf3fcd4d475c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0205",
    "kind": "arxiv",
    "version": 4
  }
}