Pith Number

pith:7QDH6L5N

pith:2011:7QDH6L5NL4YSV5GXAY6ALRH37Q

not attested not anchored not stored refs pending

Saturating Sperner families

Bal\'azs Keszegh, Bal\'azs Patk\'os, Cory Palmer, D\'aniel Gerbner, D\"om\"ot\"or P\'alv\"olgyi, Nathan Lemons

arxiv:1105.4453 v1 · 2011-05-23 · 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{7QDH6L5NL4YSV5GXAY6ALRH37Q}

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	2026-05-18T04:21:29.254469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc067f2fad5f312af4d7063c05c4fbfc2d4e624c98b6e5277fa3a943f1317797

Aliases

arxiv: 1105.4453 · arxiv_version: 1105.4453v1 · doi: 10.48550/arxiv.1105.4453 · pith_short_12: 7QDH6L5NL4YS · pith_short_16: 7QDH6L5NL4YSV5GX · pith_short_8: 7QDH6L5N

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/7QDH6L5NL4YSV5GXAY6ALRH37Q \
  | 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: fc067f2fad5f312af4d7063c05c4fbfc2d4e624c98b6e5277fa3a943f1317797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5185381acddac55878584336e07c5ebb64097c0851faa04301a504e66639584f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-23T10:00:13Z",
    "title_canon_sha256": "199533c1d08669f3d9802a59dd9e773f15352cd5d62669a48f1174caadbd2678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4453",
    "kind": "arxiv",
    "version": 1
  }
}