Pith Number

pith:X5XK53AH

pith:2021:X5XK53AHAT2EH2KUXES5QSZ5WY

not attested not anchored not stored refs pending

Pseudo-involutions in the Riordan group

Alexander Burstein, Louis W. Shapiro

arxiv:2112.11595 v4 · 2021-12-22 · 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{X5XK53AHAT2EH2KUXES5QSZ5WY}

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.

Cited by

1 paper in Pith

Elliptic Curves, Riordan arrays and Lattice Paths

Receipt and verification

First computed	2026-07-05T04:09:00.849589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6eaeec0704f443e954b925d84b3db61e22b5bbde3c5945fd0ac94980b16723

Aliases

arxiv: 2112.11595 · arxiv_version: 2112.11595v4 · doi: 10.48550/arxiv.2112.11595 · pith_short_12: X5XK53AHAT2E · pith_short_16: X5XK53AHAT2EH2KU · pith_short_8: X5XK53AH

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/X5XK53AHAT2EH2KUXES5QSZ5WY \
  | 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: bf6eaeec0704f443e954b925d84b3db61e22b5bbde3c5945fd0ac94980b16723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58381b03506d4b900709dc97ffae0d2d2c56509c6cf244cfde044279146e706a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-22T00:30:54Z",
    "title_canon_sha256": "f2b629a33045d30856bfb63a8b4ea9f2b29b8a950dcc881a927e89ede8b21afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.11595",
    "kind": "arxiv",
    "version": 4
  }
}