Pith Number

pith:V37BVJLN

pith:2024:V37BVJLNYLQL6DG3FWU25OUIBI

not attested not anchored not stored refs pending

A short proof of the existence of designs

Peter Keevash

arxiv:2411.18291 v1 · 2024-11-27 · 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{V37BVJLNYLQL6DG3FWU25OUIBI}

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.

Cited by

1 paper in Pith

Short proofs of three combinatorial results in the Johnson scheme

Receipt and verification

First computed	2026-07-05T09:41:14.448893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aefe1aa56dc2e0bf0cdb2da9aeba880a0bcb2a32b7443f47fa65ec5c75f292ed

Aliases

arxiv: 2411.18291 · arxiv_version: 2411.18291v1 · doi: 10.48550/arxiv.2411.18291 · pith_short_12: V37BVJLNYLQL · pith_short_16: V37BVJLNYLQL6DG3 · pith_short_8: V37BVJLN

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/V37BVJLNYLQL6DG3FWU25OUIBI \
  | 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: aefe1aa56dc2e0bf0cdb2da9aeba880a0bcb2a32b7443f47fa65ec5c75f292ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7db2efa567e4503cf363ce4d7a88282bf15f5fe33e1d16f1cd39b5f44340a5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-27T12:28:53Z",
    "title_canon_sha256": "875a921fecd2688c1d13f0fdb6bf092b5b9df76e4e57456eea2fc8deb611e808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18291",
    "kind": "arxiv",
    "version": 1
  }
}