Pith Number

pith:P3KQ4OB7

pith:2026:P3KQ4OB7DQUXV2IQRX5MTJSQC2

not attested not anchored not stored refs pending

Moments of partition statistics, Bell polynomials and Eisenstein-type series

Byungchan Kim, Chanhee Lee, Soon-Yi Kang

arxiv:2605.30801 v1 · 2026-05-29 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3KQ4OB7DQUXV2IQRX5MTJSQC2}

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	2026-06-01T01:03:17.605920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed50e383f1c297ae9108dfac9a65016835ff74a7a2018cdbe7ac07eb03c4be2

Aliases

arxiv: 2605.30801 · arxiv_version: 2605.30801v1 · doi: 10.48550/arxiv.2605.30801 · pith_short_12: P3KQ4OB7DQUX · pith_short_16: P3KQ4OB7DQUXV2IQ · pith_short_8: P3KQ4OB7

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/P3KQ4OB7DQUXV2IQRX5MTJSQC2 \
  | 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: 7ed50e383f1c297ae9108dfac9a65016835ff74a7a2018cdbe7ac07eb03c4be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c658db473fde15cdbf4b964d9a4b36057359fbc63613a089e5bab8c705fe82b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-29T03:42:28Z",
    "title_canon_sha256": "cb0a8057ff70a92aac1f12a38a6a7d688fcd9a1968bfa911c1524472473f22fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30801",
    "kind": "arxiv",
    "version": 1
  }
}