Pith Number

pith:Q2CYB34C

pith:2015:Q2CYB34CCRFQUKFRBNNMYSD5CR

not attested not anchored not stored refs pending

Chebyshev polynomials, quadratic surds and a variation of Pascal's triangle

Roland Bacher (IF)

arxiv:1509.09054 v1 · 2015-09-30 · 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{Q2CYB34CCRFQUKFRBNNMYSD5CR}

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	2026-05-18T01:31:29.222440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

868580ef82144b0a28b10b5acc487d14678c65fdd240182816aef9727704def5

Aliases

arxiv: 1509.09054 · arxiv_version: 1509.09054v1 · doi: 10.48550/arxiv.1509.09054 · pith_short_12: Q2CYB34CCRFQ · pith_short_16: Q2CYB34CCRFQUKFR · pith_short_8: Q2CYB34C

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/Q2CYB34CCRFQUKFRBNNMYSD5CR \
  | 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: 868580ef82144b0a28b10b5acc487d14678c65fdd240182816aef9727704def5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d8d0afbdc08f27d22dc88ae49758178b0231bb186f9824004e9ba63570aeed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-30T08:00:19Z",
    "title_canon_sha256": "41010da3425d1c95e4230f295059a46c100d94f0af2a8c693549de0971e4a64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09054",
    "kind": "arxiv",
    "version": 1
  }
}