Pith Number

pith:C6PATVNG

pith:2022:C6PATVNGFRZD6ID5SFNAXIECCF

not attested not anchored not stored refs pending

On Sums, Derivatives, and Flips of Riordan Arrays

Caroline Bang, Eric Culver, Jessica Dickson, Matias von Bell, Rachel Perrier, Sheila Sundaram, Stoyan Dimitrov

arxiv:2210.02566 v1 · 2022-10-05 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6PATVNGFRZD6ID5SFNAXIECCF}

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	2026-07-05T12:05:56.142488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

179e09d5a62c723f207d915a0ba082116e61d8e09be38724e62a838a2ae1c8a6

Aliases

arxiv: 2210.02566 · arxiv_version: 2210.02566v1 · doi: 10.48550/arxiv.2210.02566 · pith_short_12: C6PATVNGFRZD · pith_short_16: C6PATVNGFRZD6ID5 · pith_short_8: C6PATVNG

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/C6PATVNGFRZD6ID5SFNAXIECCF \
  | 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: 179e09d5a62c723f207d915a0ba082116e61d8e09be38724e62a838a2ae1c8a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ed333f9f2df00cad5e236e689c0cdbaeb94446a7cebe007f2223898ffdae94",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-05T21:09:04Z",
    "title_canon_sha256": "c0e765ce151ed5b0f7c00fa79de296bd3bb56c51a50361fb51f1422e43e81033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02566",
    "kind": "arxiv",
    "version": 1
  }
}