Pith Number

pith:4I4YJIFT

pith:2019:4I4YJIFTUHAFZ7IUOPHOIPNNYP

not attested not anchored not stored refs pending

Coefficients of (inverse) unitary cyclotomic polynomials

B.B. White, B. Zhang, G. Jones, L. Martirosyan, L. T\'oth, P.I. Kester, P. Moree

arxiv:1911.01749 v1 · 2019-11-05 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4I4YJIFTUHAFZ7IUOPHOIPNNYP}

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	2026-07-05T00:17:21.240204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23984a0b3a1c05cfd1473cee43dadc3f59aa8a0da88cbf1052843bb850a62cb

Aliases

arxiv: 1911.01749 · arxiv_version: 1911.01749v1 · doi: 10.48550/arxiv.1911.01749 · pith_short_12: 4I4YJIFTUHAF · pith_short_16: 4I4YJIFTUHAFZ7IU · pith_short_8: 4I4YJIFT

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/4I4YJIFTUHAFZ7IUOPHOIPNNYP \
  | 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: e23984a0b3a1c05cfd1473cee43dadc3f59aa8a0da88cbf1052843bb850a62cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859665db75eb58a58c9c3dd6318e293aad9bdcabc5d7659029676ae91ad5f8b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-11-05T12:51:39Z",
    "title_canon_sha256": "c8448aec8add09dbd85be0294bd2646c83189b1b4558ea526968ca577c24c9e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.01749",
    "kind": "arxiv",
    "version": 1
  }
}