Pith Number

pith:AZ4D7KOG

pith:2014:AZ4D7KOGC3E2SDCHKKPBBEO6TZ

not attested not anchored not stored refs pending

Chebyshev Polynomials and Statistics on a New Collection of Words in the Catalan Family

Mark Shattuck, Toufik Mansour

arxiv:1407.3516 v1 · 2014-07-14 · 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{AZ4D7KOGC3E2SDCHKKPBBEO6TZ}

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	2026-05-18T02:47:42.656963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06783fa9c616c9a90c47529e1091de9e44894fd0f91f288234a49443d870814c

Aliases

arxiv: 1407.3516 · arxiv_version: 1407.3516v1 · doi: 10.48550/arxiv.1407.3516 · pith_short_12: AZ4D7KOGC3E2 · pith_short_16: AZ4D7KOGC3E2SDCH · pith_short_8: AZ4D7KOG

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/AZ4D7KOGC3E2SDCHKKPBBEO6TZ \
  | 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: 06783fa9c616c9a90c47529e1091de9e44894fd0f91f288234a49443d870814c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9263e4d3e152cfd56712463e4f98ee11218a48cfe741f22ab8ad8a074991d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-14T00:14:39Z",
    "title_canon_sha256": "3de0d467b4b8dda674c55e31597a0406a770c56c1357f032702ee28e3e46ecaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3516",
    "kind": "arxiv",
    "version": 1
  }
}