Pith Number

pith:5W3J47CC

pith:2012:5W3J47CCDXSHX7HZT6CX3MM6BV

not attested not anchored not stored refs pending

Sharp Concentration of Hitting Size for Random Set Systems

Anant Godbole, Jessie Deering, Lucia Petito, William Jamieson

arxiv:1201.5097 v2 · 2012-01-24 · math.PR · 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{5W3J47CCDXSHX7HZT6CX3MM6BV}

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	2026-05-18T03:55:00.165989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb69e7c421de47bfcf99f857db19e0d5f3498e1309e1e5be3c6e954cf701d11

Aliases

arxiv: 1201.5097 · arxiv_version: 1201.5097v2 · doi: 10.48550/arxiv.1201.5097 · pith_short_12: 5W3J47CCDXSH · pith_short_16: 5W3J47CCDXSHX7HZ · pith_short_8: 5W3J47CC

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/5W3J47CCDXSHX7HZT6CX3MM6BV \
  | 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: edb69e7c421de47bfcf99f857db19e0d5f3498e1309e1e5be3c6e954cf701d11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf66d36b41a64e0e4cf6e21e4c798c5156516bfa0cbaa8557018a24268ce7964",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-24T19:38:29Z",
    "title_canon_sha256": "712a34024dccea64942524c10064bab3c44dd859e9085a326f03dfecaa2eded2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5097",
    "kind": "arxiv",
    "version": 2
  }
}