Pith Number

pith:XIDOH5UR

pith:2010:XIDOH5UR4QRMECM7EAQNZP22MJ

not attested not anchored not stored refs pending

Small Furstenberg sets

Ezequiel Rela, Ursula Molter

arxiv:1006.4862 v3 · 2010-06-24 · math.CA · 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{XIDOH5UR4QRMECM7EAQNZP22MJ}

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	2026-05-18T03:41:02.640009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba06e3f691e422c2099f2020dcbf5a625205dd27f5eb73f7d28ef857a5b0c315

Aliases

arxiv: 1006.4862 · arxiv_version: 1006.4862v3 · doi: 10.48550/arxiv.1006.4862 · pith_short_12: XIDOH5UR4QRM · pith_short_16: XIDOH5UR4QRMECM7 · pith_short_8: XIDOH5UR

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/XIDOH5UR4QRMECM7EAQNZP22MJ \
  | 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: ba06e3f691e422c2099f2020dcbf5a625205dd27f5eb73f7d28ef857a5b0c315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c07ede7da3629fbece030bf60135369c75364f6b8ed74962b9f97a3e009e4cf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-06-24T19:22:36Z",
    "title_canon_sha256": "10c4f3341596392346b81c7ee2534a31276d35ebe430a13e790d52e3bbcfeb18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4862",
    "kind": "arxiv",
    "version": 3
  }
}