Pith Number

pith:6ZJE2IHT

pith:2011:6ZJE2IHTHTYGN4SIX3WBVI3L2X

not attested not anchored not stored refs pending

Poly-Bernoulli numbers and lonesum matrices

Denis S. Krotov, Hyun Kwang Kim, Joon Yop Lee

arxiv:1103.4884 v1 · 2011-03-25 · 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{6ZJE2IHTHTYGN4SIX3WBVI3L2X}

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	2026-05-18T00:52:33.012164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6524d20f33cf066f248beec1aa36bd5e2e5afc100aa305b88d14fba07512a89

Aliases

arxiv: 1103.4884 · arxiv_version: 1103.4884v1 · doi: 10.48550/arxiv.1103.4884 · pith_short_12: 6ZJE2IHTHTYG · pith_short_16: 6ZJE2IHTHTYGN4SI · pith_short_8: 6ZJE2IHT

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/6ZJE2IHTHTYGN4SIX3WBVI3L2X \
  | 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: f6524d20f33cf066f248beec1aa36bd5e2e5afc100aa305b88d14fba07512a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54505559356ca20b242aae5b8e382df9a514d9563bc8f545605f1eeae3cc857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-25T00:03:56Z",
    "title_canon_sha256": "af3091463da7a4f73730b5f4e7816c457359654d7a0c58c3891a990f4c002384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4884",
    "kind": "arxiv",
    "version": 1
  }
}