Pith Number

pith:GLNZVUPF

pith:2018:GLNZVUPF4BEEF3O5Z3CDWGYGTV

not attested not anchored not stored refs pending

Explicit expression for a family of ternary cyclotomic polynomials

Ala'a Al-Kateeb, Eunjeong Lee, Hoon Hong

arxiv:1801.01186 v2 · 2018-01-03 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLNZVUPF4BEEF3O5Z3CDWGYGTV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:25:41.395780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32db9ad1e5e04842edddcec43b1b069d64a59ba5a2202e6923c4d0c2417d990f

Aliases

arxiv: 1801.01186 · arxiv_version: 1801.01186v2 · doi: 10.48550/arxiv.1801.01186 · pith_short_12: GLNZVUPF4BEE · pith_short_16: GLNZVUPF4BEEF3O5 · pith_short_8: GLNZVUPF

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/GLNZVUPF4BEEF3O5Z3CDWGYGTV \
  | 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: 32db9ad1e5e04842edddcec43b1b069d64a59ba5a2202e6923c4d0c2417d990f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851af0947e8158c2517496d2914ed814e65cae7046701a96e1ffd53045cbef86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-03T21:42:51Z",
    "title_canon_sha256": "0bdf6ee8b2460c55b2747b260aeed858f6cb4732c93370391d07fa19d28325d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01186",
    "kind": "arxiv",
    "version": 2
  }
}