Pith Number

pith:7ZHZJE7Q

pith:2018:7ZHZJE7Q6XLNBRFZZWFDVCTJSA

not attested not anchored not stored refs pending

The Euler and Springer numbers as moment sequences

Alan D. Sokal

arxiv:1804.04498 v3 · 2018-04-12 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZHZJE7Q6XLNBRFZZWFDVCTJSA}

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	2026-07-05T01:06:06.220721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe4f9493f0f5d6d0c4b9cd8a3a8a69903caac9ff4f81eb7c9dc4279fa8a1ec4e

Aliases

arxiv: 1804.04498 · arxiv_version: 1804.04498v3 · doi: 10.48550/arxiv.1804.04498 · pith_short_12: 7ZHZJE7Q6XLN · pith_short_16: 7ZHZJE7Q6XLNBRFZ · pith_short_8: 7ZHZJE7Q

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/7ZHZJE7Q6XLNBRFZZWFDVCTJSA \
  | 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: fe4f9493f0f5d6d0c4b9cd8a3a8a69903caac9ff4f81eb7c9dc4279fa8a1ec4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4a1718afc0982400bc0cc63f969324249431302ff7ae779619806d84905a676",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-12T13:34:17Z",
    "title_canon_sha256": "5c32f9db49e3e374d7d09f1a0f8e97815baa1af4da6df4e2dfdc92032926dd21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04498",
    "kind": "arxiv",
    "version": 3
  }
}