Pith Number

pith:QT7H7J2Q

pith:2014:QT7H7J2QM7RFOXGQKALHLB5WI4

not attested not anchored not stored refs pending

Generalized r-Lah numbers

Mark Shattuck

arxiv:1412.8721 v1 · 2014-12-30 · 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{QT7H7J2QM7RFOXGQKALHLB5WI4}

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	2026-05-18T02:30:16.684368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84fe7fa75067e2575cd050167587b64726c78499a698934f05b09a0524b25d4f

Aliases

arxiv: 1412.8721 · arxiv_version: 1412.8721v1 · doi: 10.48550/arxiv.1412.8721 · pith_short_12: QT7H7J2QM7RF · pith_short_16: QT7H7J2QM7RFOXGQ · pith_short_8: QT7H7J2Q

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/QT7H7J2QM7RFOXGQKALHLB5WI4 \
  | 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: 84fe7fa75067e2575cd050167587b64726c78499a698934f05b09a0524b25d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0cd0b49f83caf3b387dc3c7318ff3cc2c6f2dad55866f9b4e2e247c1be29557",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-30T18:38:43Z",
    "title_canon_sha256": "6459def2d3f6f2ca319fc18487d471ae9ba8453af2049dba55886b9040c5f72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8721",
    "kind": "arxiv",
    "version": 1
  }
}