Pith Number

pith:IVNUTME4

pith:2013:IVNUTME4EIKP5K2HGZIMZ7XOKK

not attested not anchored not stored refs pending

Statistics on parallelogram polyominoes and a q,t-analogue of the Narayana numbers

Angela Hicks, Jean-Christophe Aval, Mark Dukes, Michele D'Adderio, Yvan Le Borgne

arxiv:1301.4803 v1 · 2013-01-21 · 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{IVNUTME4EIKP5K2HGZIMZ7XOKK}

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	2026-05-18T03:35:55.552066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

455b49b09c2214feab473650ccfeee5285463282beabb2f50d1d01cc1633d80d

Aliases

arxiv: 1301.4803 · arxiv_version: 1301.4803v1 · doi: 10.48550/arxiv.1301.4803 · pith_short_12: IVNUTME4EIKP · pith_short_16: IVNUTME4EIKP5K2H · pith_short_8: IVNUTME4

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/IVNUTME4EIKP5K2HGZIMZ7XOKK \
  | 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: 455b49b09c2214feab473650ccfeee5285463282beabb2f50d1d01cc1633d80d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dfed6416b6bf8511809fe41a0286aa4f59ba44d137bc62295677e94bb20e1ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-21T10:23:10Z",
    "title_canon_sha256": "4f03fc1a1131f601e52d69a996e4babb9e2fd19f091ba5db05fbe331ddc36420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4803",
    "kind": "arxiv",
    "version": 1
  }
}