Pith Number

pith:MVSVXPZ2

pith:2019:MVSVXPZ2LDOBLQVTSMX52SYIPS

not attested not anchored not stored refs pending

On the $r$-shifted central triangles of a Riordan array

Paul Barry

arxiv:1906.01328 v1 · 2019-06-04 · 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{MVSVXPZ2LDOBLQVTSMX52SYIPS}

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	2026-05-17T23:44:16.998401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65655bbf3a58dc15c2b3932fdd4b087cbf06b737e7e73e3b4d613130ae924de5

Aliases

arxiv: 1906.01328 · arxiv_version: 1906.01328v1 · doi: 10.48550/arxiv.1906.01328 · pith_short_12: MVSVXPZ2LDOB · pith_short_16: MVSVXPZ2LDOBLQVT · pith_short_8: MVSVXPZ2

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/MVSVXPZ2LDOBLQVTSMX52SYIPS \
  | 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: 65655bbf3a58dc15c2b3932fdd4b087cbf06b737e7e73e3b4d613130ae924de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5971d21ba6fb197c745877c6a2865842d0b53beed56c1ae391e1d654373203bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-04T10:36:52Z",
    "title_canon_sha256": "c39d3f7abbdaef8e487fa728787a56a2bf7f5042735712756aa6c6bc84c6b6af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01328",
    "kind": "arxiv",
    "version": 1
  }
}