Pith Number

pith:4JZY3R75

pith:2013:4JZY3R75Q6T25BK54YBNM2JLZL

not attested not anchored not stored refs pending

Hypomorphic Sperner systems and nonreconstructible functions

Erkko Lehtonen, Karsten Sch\"olzel, Miguel Couceiro

arxiv:1306.5578 v1 · 2013-06-24 · 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{4JZY3R75Q6T25BK54YBNM2JLZL}

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	2026-05-18T00:57:38.641255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2738dc7fd87a7ae855de602d6692bcae358b49504c49cc1600971d1f67ebe9f

Aliases

arxiv: 1306.5578 · arxiv_version: 1306.5578v1 · doi: 10.48550/arxiv.1306.5578 · pith_short_12: 4JZY3R75Q6T2 · pith_short_16: 4JZY3R75Q6T25BK5 · pith_short_8: 4JZY3R75

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/4JZY3R75Q6T25BK54YBNM2JLZL \
  | 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: e2738dc7fd87a7ae855de602d6692bcae358b49504c49cc1600971d1f67ebe9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ff20239442b8c3f0806be0899479faa2f4456308d46ee5a108e1547fe0879f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-24T11:24:10Z",
    "title_canon_sha256": "77c91c3f8d4912700b75df8ff6c67578428d563d6b3b57615a068cb74b24b6aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5578",
    "kind": "arxiv",
    "version": 1
  }
}