Pith Number

pith:426YTJTY

pith:2009:426YTJTYMRYWQB6NBFAYBI2XRH

not attested not anchored not stored refs pending

An equivalence between inverse sumset theorems and inverse conjectures for the U^3 norm

Ben Green, Terence Tao

arxiv:0906.3100 v1 · 2009-06-17 · 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{426YTJTYMRYWQB6NBFAYBI2XRH}

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	2026-05-18T02:13:19.538958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6bd89a67864716807cd094180a35789f4123a7e3ca44683cff90e55e36a70af

Aliases

arxiv: 0906.3100 · arxiv_version: 0906.3100v1 · doi: 10.48550/arxiv.0906.3100 · pith_short_12: 426YTJTYMRYW · pith_short_16: 426YTJTYMRYWQB6N · pith_short_8: 426YTJTY

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/426YTJTYMRYWQB6NBFAYBI2XRH \
  | 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: e6bd89a67864716807cd094180a35789f4123a7e3ca44683cff90e55e36a70af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b46a75f5ce41891f93d29e221ea56da0c260794002406b40c36a9e0661e0f54",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-06-17T08:10:57Z",
    "title_canon_sha256": "190dd1caaa500ef3c43e01ea5661d69935946e50b9341ac947cd75850f2000df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3100",
    "kind": "arxiv",
    "version": 1
  }
}