Pith Number

pith:YERX6KTL

pith:2011:YERX6KTL7CG6I5T53TV5MSMCYN

not attested not anchored not stored refs pending

The family of ternary cyclotomic polynomials with one free prime

Pieter Moree, Robert Wilms, Yves Gallot

arxiv:1110.4590 v1 · 2011-10-20 · 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{YERX6KTL7CG6I5T53TV5MSMCYN}

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	2026-05-18T03:49:59.815451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1237f2a6bf88de4767ddcebd64982c34ba769523ed890e4761e5b3ae22e11dd

Aliases

arxiv: 1110.4590 · arxiv_version: 1110.4590v1 · doi: 10.48550/arxiv.1110.4590 · pith_short_12: YERX6KTL7CG6 · pith_short_16: YERX6KTL7CG6I5T5 · pith_short_8: YERX6KTL

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/YERX6KTL7CG6I5T53TV5MSMCYN \
  | 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: c1237f2a6bf88de4767ddcebd64982c34ba769523ed890e4761e5b3ae22e11dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e61ebf0edacea1eae506172047d77fd539ff8aba91eff0cb6b8460b0697a2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-20T17:35:50Z",
    "title_canon_sha256": "21a44f1c75c01e664d6dd4092e0c74ef28a19efc46499059a943a023e4b5405a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4590",
    "kind": "arxiv",
    "version": 1
  }
}