Pith Number

pith:KDIN6WQS

pith:2019:KDIN6WQS23W6WXEW7UFWWJRB6W

not attested not anchored not stored refs pending

Limits of Sums for Binomial and Eulerian Numbers and their Associated Distributions

Meng Li, Ron Goldman

arxiv:1903.06317 v1 · 2019-03-15 · math.CO · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDIN6WQS23W6WXEW7UFWWJRB6W}

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	2026-05-17T23:51:11.149703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50d0df5a12d6edeb5c96fd0b6b2621f583cb5253f37acd404f853fd40a55fd71

Aliases

arxiv: 1903.06317 · arxiv_version: 1903.06317v1 · doi: 10.48550/arxiv.1903.06317 · pith_short_12: KDIN6WQS23W6 · pith_short_16: KDIN6WQS23W6WXEW · pith_short_8: KDIN6WQS

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/KDIN6WQS23W6WXEW7UFWWJRB6W \
  | 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: 50d0df5a12d6edeb5c96fd0b6b2621f583cb5253f37acd404f853fd40a55fd71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "130b1cc379f2f6cdea88160cecadf7efb5ecaf1eb3d83a99bb81b95cc0d59d4f",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-15T01:42:50Z",
    "title_canon_sha256": "b1e3d8c95b144d4b55f45195fd4ec9a2c1d311d92ef8ca95b4ec53d1ef12d643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06317",
    "kind": "arxiv",
    "version": 1
  }
}