Pith Number

pith:XO3WQC7D

pith:2011:XO3WQC7DPS5ZRWW5G3QCMIN4DX

not attested not anchored not stored refs pending

Some Generalizations of the MacMahon Master Theorem

Michael P. Tuite

arxiv:1111.4047 v1 · 2011-11-17 · 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{XO3WQC7DPS5ZRWW5G3QCMIN4DX}

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	2026-05-18T03:01:36.153076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb7680be37cbb98dadd36e02621bc1de46480a09a7324ba23cb8c4551af378e

Aliases

arxiv: 1111.4047 · arxiv_version: 1111.4047v1 · doi: 10.48550/arxiv.1111.4047 · pith_short_12: XO3WQC7DPS5Z · pith_short_16: XO3WQC7DPS5ZRWW5 · pith_short_8: XO3WQC7D

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/XO3WQC7DPS5ZRWW5G3QCMIN4DX \
  | 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: bbb7680be37cbb98dadd36e02621bc1de46480a09a7324ba23cb8c4551af378e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e55d69f6fcc1d6178c0991d8646036431fb8232a16d440be897c8f93a719572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-17T10:10:36Z",
    "title_canon_sha256": "be7bec041ed3cf3b6272dbc027b5f2ae76e4a38a2e7c4b14ab8d841c2a2fff52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4047",
    "kind": "arxiv",
    "version": 1
  }
}