Pith Number

pith:B7A3YWSW

pith:2007:B7A3YWSWDNHK5AWIQ4WF4U2HMP

not attested not anchored not stored refs pending

Bimahonian distributions

Dennis Stanton, Helene Barcelo, Victor Reiner

arxiv:math/0703479 v2 · 2007-03-16 · 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{B7A3YWSWDNHK5AWIQ4WF4U2HMP}

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	2026-05-18T02:57:45.222369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc1bc5a561b4eae82c8872c5e534763d1011bf2d7693c4bd1b537b421b34155

Aliases

arxiv: math/0703479 · arxiv_version: math/0703479v2 · doi: 10.48550/arxiv.math/0703479 · pith_short_12: B7A3YWSWDNHK · pith_short_16: B7A3YWSWDNHK5AWI · pith_short_8: B7A3YWSW

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/B7A3YWSWDNHK5AWIQ4WF4U2HMP \
  | 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: 0fc1bc5a561b4eae82c8872c5e534763d1011bf2d7693c4bd1b537b421b34155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8eb488d1cf3cdeeb752138ac114c5f0550b4214a8dc2ccfc57098fd216602f4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-03-16T02:40:55Z",
    "title_canon_sha256": "44b31efda27626b6eec61a7c94366ce3b8bb8a3b5c3fef559e5bcea387bf497d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703479",
    "kind": "arxiv",
    "version": 2
  }
}