Pith Number

pith:JLLZOUIL

pith:2011:JLLZOUIL4NVKIX66Q4JBX4VK3J

not attested not anchored not stored refs pending

Cross-Sperner families

Bal\'azs Patk\'os, Cory Palmer, D\'aniel Gerbner, Nathan Lemons, Vajk Sz\'ecsi

arxiv:1104.3988 v1 · 2011-04-20 · 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{JLLZOUIL4NVKIX66Q4JBX4VK3J}

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	2026-05-18T04:23:47.287163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad797510be36aa45fde87121bf2aada644f5aa0c1e1472b358378387160a61b

Aliases

arxiv: 1104.3988 · arxiv_version: 1104.3988v1 · doi: 10.48550/arxiv.1104.3988 · pith_short_12: JLLZOUIL4NVK · pith_short_16: JLLZOUIL4NVKIX66 · pith_short_8: JLLZOUIL

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/JLLZOUIL4NVKIX66Q4JBX4VK3J \
  | 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: 4ad797510be36aa45fde87121bf2aada644f5aa0c1e1472b358378387160a61b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e560642d41ca5969daad14c8d362c57e1eff0fa96e05163f0ebbf9f069af1b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-20T10:45:18Z",
    "title_canon_sha256": "49a408d31c3343db70497a7584b0f3edc01ac73b39f72e27dee9d51a35b01826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3988",
    "kind": "arxiv",
    "version": 1
  }
}