Pith Number

pith:OAQPVZUW

pith:2011:OAQPVZUWNN7J7TSQ4YFUTZTPS6

not attested not anchored not stored refs pending

Upper bounds on cyclotomic numbers

Akihiro Munemasa, Koichi Betsumiya, Mitsugu Hirasaka, Takao Komatsu

arxiv:1109.6539 v2 · 2011-09-29 · 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{OAQPVZUWNN7J7TSQ4YFUTZTPS6}

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	2026-05-18T00:32:31.822476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7020fae6966b7e9fce50e60b49e66f979f62493372dedf3614e2c32476c18b0a

Aliases

arxiv: 1109.6539 · arxiv_version: 1109.6539v2 · doi: 10.48550/arxiv.1109.6539 · pith_short_12: OAQPVZUWNN7J · pith_short_16: OAQPVZUWNN7J7TSQ · pith_short_8: OAQPVZUW

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/OAQPVZUWNN7J7TSQ4YFUTZTPS6 \
  | 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: 7020fae6966b7e9fce50e60b49e66f979f62493372dedf3614e2c32476c18b0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d57a59c9e87a5ca02e0f7a8e9e98ddb103f256b365f0e382081f25d13b3759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-29T14:27:14Z",
    "title_canon_sha256": "6e348b51c3034226d16ddeabe40f09c8c5d0ab6c6389b73d6142fd66cbcf70d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6539",
    "kind": "arxiv",
    "version": 2
  }
}