Pith Number

pith:JT7RAYYB

pith:2018:JT7RAYYBSOKRO7GFFEYCXGI2YE

not attested not anchored not stored refs pending

Exponential Riordan arrays and generalized Narayana polynomials

E. Burlachenko

arxiv:1803.01975 v1 · 2018-03-06 · 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{JT7RAYYBSOKRO7GFFEYCXGI2YE}

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	2026-05-18T00:21:56.179347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cff1063019395177cc529302b991ac10e15b5bedeb5c335eda67d4a60b5c29a

Aliases

arxiv: 1803.01975 · arxiv_version: 1803.01975v1 · doi: 10.48550/arxiv.1803.01975 · pith_short_12: JT7RAYYBSOKR · pith_short_16: JT7RAYYBSOKRO7GF · pith_short_8: JT7RAYYB

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/JT7RAYYBSOKRO7GFFEYCXGI2YE \
  | 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: 4cff1063019395177cc529302b991ac10e15b5bedeb5c335eda67d4a60b5c29a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b331a87ccf2b433e8dca12eea3b7130149fba1c4212749599a7dffcd30004f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-06T01:14:18Z",
    "title_canon_sha256": "c8f9736c5d6a747aef9035e2e3aa0229d13468b184ef1ff1c31ec0122aeba4b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01975",
    "kind": "arxiv",
    "version": 1
  }
}