Pith Number

pith:ZJ2YVX7R

pith:2020:ZJ2YVX7RZOEWWG4T3KLEANU6HI

not attested not anchored not stored refs pending

What fraction of an $S_n$-orbit can lie on a hyperplane?

David McKinnon, Jiahui Huang, Matthew Satriano

arxiv:2001.09123 v1 · 2020-01-24 · 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{ZJ2YVX7RZOEWWG4T3KLEANU6HI}

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	2026-07-05T00:35:39.764506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca758adff1cb896b1b93da9640369e3a1106c77572aa9a2d4a1206df66ea43c6

Aliases

arxiv: 2001.09123 · arxiv_version: 2001.09123v1 · doi: 10.48550/arxiv.2001.09123 · pith_short_12: ZJ2YVX7RZOEW · pith_short_16: ZJ2YVX7RZOEWWG4T · pith_short_8: ZJ2YVX7R

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/ZJ2YVX7RZOEWWG4T3KLEANU6HI \
  | 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: ca758adff1cb896b1b93da9640369e3a1106c77572aa9a2d4a1206df66ea43c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d548a1430bca434716331350450256a47b278547af685af02747a1eb2371e32c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-01-24T18:14:10Z",
    "title_canon_sha256": "be17eb1a4268bd3346a741bc4ae5c7ed9e70178e0d3de6fca7fa4495281528a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.09123",
    "kind": "arxiv",
    "version": 1
  }
}