Pith Number

pith:F3Z74JKK

pith:2011:F3Z74JKKZLRZEQONDQSOOSVRX5

not attested not anchored not stored refs pending

(Discrete) Almansi Type Decompositions: An umbral calculus framework based on $\mathfrak{osp}(1|2)$ symmetries

Guangbin Ren, Nelson Faustino

arxiv:1102.5434 v2 · 2011-02-26 · math.CV · 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{F3Z74JKKZLRZEQONDQSOOSVRX5}

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	2026-05-18T02:41:19.004556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef3fe254acae39241cd1c24e74ab1bf7aed383be8576b54b45fc00d8418ad1b

Aliases

arxiv: 1102.5434 · arxiv_version: 1102.5434v2 · doi: 10.48550/arxiv.1102.5434 · pith_short_12: F3Z74JKKZLRZ · pith_short_16: F3Z74JKKZLRZEQON · pith_short_8: F3Z74JKK

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/F3Z74JKKZLRZEQONDQSOOSVRX5 \
  | 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: 2ef3fe254acae39241cd1c24e74ab1bf7aed383be8576b54b45fc00d8418ad1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536866e8be25fffc95ec343f76076907a07f08443f99fa1efdfceafb869179ad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-02-26T18:35:43Z",
    "title_canon_sha256": "3c0844f808e0bbaa7827300c841ff8845e18e5842ce08425a5c99488107fdb72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5434",
    "kind": "arxiv",
    "version": 2
  }
}