Pith Number

pith:YZSFGL2M

pith:2010:YZSFGL2MSDEPPZC2T5OZ77YNPV

not attested not anchored not stored refs pending

Large values of the Gowers-Host-Kra seminorms

Tanja Eisner, Terence Tao

arxiv:1012.3509 v2 · 2010-12-16 · math.CO · math.CA · 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{YZSFGL2MSDEPPZC2T5OZ77YNPV}

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	2026-05-18T04:19:21.905985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c664532f4c90c8f7e45a9f5d9fff0d7d56dfc84b31f90378f8f9d109705eca55

Aliases

arxiv: 1012.3509 · arxiv_version: 1012.3509v2 · doi: 10.48550/arxiv.1012.3509 · pith_short_12: YZSFGL2MSDEP · pith_short_16: YZSFGL2MSDEPPZC2 · pith_short_8: YZSFGL2M

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/YZSFGL2MSDEPPZC2T5OZ77YNPV \
  | 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: c664532f4c90c8f7e45a9f5d9fff0d7d56dfc84b31f90378f8f9d109705eca55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c5b1cac8bcaa12ea5eee1de46c594e0d92676614401ab058ed47d166449dee",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-16T03:43:24Z",
    "title_canon_sha256": "bb79998d102138ec83357e8a62f3ffb7e9e6de3048bff8c9e72c44b809ce0aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3509",
    "kind": "arxiv",
    "version": 2
  }
}