Pith Number

pith:F3OWNTXX

pith:2010:F3OWNTXXNXVNMDU2KVQIZI6TKA

not attested not anchored not stored refs pending

Combinatorial theorems in sparse random sets

D. Conlon, W.T. Gowers

arxiv:1011.4310 v2 · 2010-11-18 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3OWNTXXNXVNMDU2KVQIZI6TKA}

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	2026-05-18T02:28:12.422681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2edd66cef76dead60e9a55608ca3d35025e7e6a9d253cc0de4508c73773c9581

Aliases

arxiv: 1011.4310 · arxiv_version: 1011.4310v2 · doi: 10.48550/arxiv.1011.4310 · pith_short_12: F3OWNTXXNXVN · pith_short_16: F3OWNTXXNXVNMDU2 · pith_short_8: F3OWNTXX

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/F3OWNTXXNXVNMDU2KVQIZI6TKA \
  | 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: 2edd66cef76dead60e9a55608ca3d35025e7e6a9d253cc0de4508c73773c9581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce10300a97b2632a46315f22480b4ae62077130e9f00f406c098e4e938f959b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-18T21:32:51Z",
    "title_canon_sha256": "a6cde2a5b850da1180b30fa566d4158f385b1f8ba2a62f59e25bba7c5e40668b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4310",
    "kind": "arxiv",
    "version": 2
  }
}