Pith Number

pith:Z2FQMFDA

pith:2013:Z2FQMFDATQ75RBGGOIIZ3NKU7W

not attested not anchored not stored refs pending

An Elementary Proof of the Hook Content Formula

Graham Hawkes

arxiv:1310.5919 v2 · 2013-10-19 · 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{Z2FQMFDATQ75RBGGOIIZ3NKU7W}

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	2026-05-18T02:40:47.420031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce8b0614609c3fd884c672119db554fd9294faf48757fe68870003931c9b1b40

Aliases

arxiv: 1310.5919 · arxiv_version: 1310.5919v2 · doi: 10.48550/arxiv.1310.5919 · pith_short_12: Z2FQMFDATQ75 · pith_short_16: Z2FQMFDATQ75RBGG · pith_short_8: Z2FQMFDA

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/Z2FQMFDATQ75RBGGOIIZ3NKU7W \
  | 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: ce8b0614609c3fd884c672119db554fd9294faf48757fe68870003931c9b1b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6139fd6abc7ceb94ce888fb2c55a8ecdc64c0e69a12853b35e939193ec8e5ce1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-19T16:09:06Z",
    "title_canon_sha256": "f31b4ded28d804863d984fabb18fd6c6d1b638c1e686adb4ab13514813e6e82f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5919",
    "kind": "arxiv",
    "version": 2
  }
}