Pith Number

pith:5M2PB3A4

pith:2020:5M2PB3A4PL2ERXZ4GFH77M2ZR5

not attested not anchored not stored refs pending

Some identities involving derangement polynomials and numbers

Dae San Kim, Hyunseok Lee, Lee-Chae Jang, Taekyun Kim

arxiv:2011.01577 v1 · 2020-11-03 · 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{5M2PB3A4PL2ERXZ4GFH77M2ZR5}

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	2026-07-05T01:48:34.185608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb34f0ec1c7af448df3c314fffb3598f5c321ff2438893751424187d9de6e39f

Aliases

arxiv: 2011.01577 · arxiv_version: 2011.01577v1 · doi: 10.48550/arxiv.2011.01577 · pith_short_12: 5M2PB3A4PL2E · pith_short_16: 5M2PB3A4PL2ERXZ4 · pith_short_8: 5M2PB3A4

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/5M2PB3A4PL2ERXZ4GFH77M2ZR5 \
  | 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: eb34f0ec1c7af448df3c314fffb3598f5c321ff2438893751424187d9de6e39f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c91bea549433a7c062fce4eae7d3c12359013d4651d742ec05c9a220b5bfa50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-11-03T09:05:39Z",
    "title_canon_sha256": "4e5d7fb4a4825cdc518a50665bf59cc8fb253ff6968f636f37f17677e500d276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.01577",
    "kind": "arxiv",
    "version": 1
  }
}