Pith Number

pith:IY52P6FY

pith:2019:IY52P6FY5IYEO7CQCWGBRQTDZB

not attested not anchored not stored refs pending

A continuous analogue of Erd\H{o}s' $k$-Sperner theorem

Christos Pelekis, Themis Mitsis, V\'aclav Vlas\'ak

arxiv:1904.09625 v1 · 2019-04-21 · 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{IY52P6FY5IYEO7CQCWGBRQTDZB}

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	2026-05-17T23:48:03.803855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

463ba7f8b8ea30477c50158c18c263c865f78fc50c33a1c08dbd780f17415396

Aliases

arxiv: 1904.09625 · arxiv_version: 1904.09625v1 · doi: 10.48550/arxiv.1904.09625 · pith_short_12: IY52P6FY5IYE · pith_short_16: IY52P6FY5IYEO7CQ · pith_short_8: IY52P6FY

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/IY52P6FY5IYEO7CQCWGBRQTDZB \
  | 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: 463ba7f8b8ea30477c50158c18c263c865f78fc50c33a1c08dbd780f17415396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "607b9d863cfe003d5e729d940fc6d18a2f03bc9f37b37a722feecf39d177f05b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-21T17:00:48Z",
    "title_canon_sha256": "abf9dacf07ec9e77ff53e731d3e527861524911796b90ae370a85a692d59bcf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09625",
    "kind": "arxiv",
    "version": 1
  }
}