Pith Number

pith:NGDZOKMZ

pith:2011:NGDZOKMZMS45PYG5QS6SSZCHFH

not attested not anchored not stored refs pending

Maximum Gap in (Inverse) Cyclotomic Polynomial

Cheol-Min Park, Eunjeong Lee, Hoon Hong, Hyang-Sook Lee

arxiv:1101.4255 v1 · 2011-01-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGDZOKMZMS45PYG5QS6SSZCHFH}

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	2026-05-18T04:31:11.256668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

698797299964b9d7e0dd84bd29644729db0b9880ab5b162eab846225fd44e34e

Aliases

arxiv: 1101.4255 · arxiv_version: 1101.4255v1 · doi: 10.48550/arxiv.1101.4255 · pith_short_12: NGDZOKMZMS45 · pith_short_16: NGDZOKMZMS45PYG5 · pith_short_8: NGDZOKMZ

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/NGDZOKMZMS45PYG5QS6SSZCHFH \
  | 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: 698797299964b9d7e0dd84bd29644729db0b9880ab5b162eab846225fd44e34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebfbd86bf25239e1b10c11923c98337d032ee459f7e7977190bb32e34e13abb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-22T03:02:01Z",
    "title_canon_sha256": "9fc11e927b1de2d5e2ed8241827b3e085ee06330ea2b7688760d45e1e9c2801c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4255",
    "kind": "arxiv",
    "version": 1
  }
}