Pith Number

pith:XFP47LLO

pith:2010:XFP47LLOHFVFB4W244GGPK5KHV

not attested not anchored not stored refs pending

On convolutions of Euler numbers

Zhi-Wei Sun

arxiv:1012.4774 v1 · 2010-12-21 · math.NT · 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{XFP47LLOHFVFB4W244GGPK5KHV}

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	2026-05-18T04:32:53.728676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95fcfad6e396a50f2dae70c67abaa3d73a745dec6fa07eb3d850b1567fcc8ad

Aliases

arxiv: 1012.4774 · arxiv_version: 1012.4774v1 · doi: 10.48550/arxiv.1012.4774 · pith_short_12: XFP47LLOHFVF · pith_short_16: XFP47LLOHFVFB4W2 · pith_short_8: XFP47LLO

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/XFP47LLOHFVFB4W244GGPK5KHV \
  | 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: b95fcfad6e396a50f2dae70c67abaa3d73a745dec6fa07eb3d850b1567fcc8ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8765ed96c38c53c7d437600656bcba32c71a08c26cfc968331c24f3bc30e9886",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-21T19:33:07Z",
    "title_canon_sha256": "df86853f3ca5ecbad783c3fc994ed56aefa4281bab6fb909ef8ad2ad9e05c218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4774",
    "kind": "arxiv",
    "version": 1
  }
}