Pith Number

pith:RDAGX7G6

pith:2015:RDAGX7G6RKUELP4LGPZIQGJD6L

not attested not anchored not stored refs pending

A family of sequences of binomial type

Anna Romanowicz, Wojciech M{\l}otkowski

arxiv:1508.00138 v1 · 2015-08-01 · math.PR · 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{RDAGX7G6RKUELP4LGPZIQGJD6L}

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	2026-05-18T01:35:58.883416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88c06bfcde8aa845bf8b33f2881923f2f5e5191c8b66836ac5f771bb69bd274f

Aliases

arxiv: 1508.00138 · arxiv_version: 1508.00138v1 · doi: 10.48550/arxiv.1508.00138 · pith_short_12: RDAGX7G6RKUE · pith_short_16: RDAGX7G6RKUELP4L · pith_short_8: RDAGX7G6

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/RDAGX7G6RKUELP4LGPZIQGJD6L \
  | 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: 88c06bfcde8aa845bf8b33f2881923f2f5e5191c8b66836ac5f771bb69bd274f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ebc1763a0b08e71cda8fa2bf15f5a4dd5e15bfec68b199660abfd17bfd99281",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-01T15:44:48Z",
    "title_canon_sha256": "d61b4a365d3eac6f3532abd3ab1a263b92d18c55dacd179a5a68076e7e37ccd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00138",
    "kind": "arxiv",
    "version": 1
  }
}