Pith Number

pith:MZ36P7TV

pith:2014:MZ36P7TVPIOFDQZAIT26RVUQTB

not attested not anchored not stored refs pending

Bessenrodt-Stanley polynomials and the octahedron recurrence

Philippe Di Francesco

arxiv:1406.1098 v1 · 2014-06-04 · math.CO · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZ36P7TVPIOFDQZAIT26RVUQTB}

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	2026-05-18T02:50:30.330348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6677e7fe757a1c51c32044f5e8d690987707b19d7c736b19801ad7f4eee58c66

Aliases

arxiv: 1406.1098 · arxiv_version: 1406.1098v1 · doi: 10.48550/arxiv.1406.1098 · pith_short_12: MZ36P7TVPIOF · pith_short_16: MZ36P7TVPIOFDQZA · pith_short_8: MZ36P7TV

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/MZ36P7TVPIOFDQZAIT26RVUQTB \
  | 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: 6677e7fe757a1c51c32044f5e8d690987707b19d7c736b19801ad7f4eee58c66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f75d9318ae8bf53a5bf286b082defd226e5c76914419e31319241d1761b9552",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-04T16:28:40Z",
    "title_canon_sha256": "a4f9dfec6945bd9af661dd2021781849e411ffd0f81e66f6a92f36048000c1cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1098",
    "kind": "arxiv",
    "version": 1
  }
}