Pith Number

pith:AVUCL5AJ

pith:2011:AVUCL5AJAJHHW2CN76Z4E2OR3Y

not attested not anchored not stored refs pending

Higher Mahler measure for cyclotomic polynomials and Lehmer's question

Kaneenika Sinha, Matilde Lal\'in

arxiv:1106.1304 v1 · 2011-06-07 · 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{AVUCL5AJAJHHW2CN76Z4E2OR3Y}

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	2026-05-18T04:20:23.942806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

056825f409024e7b684dffb3c269d1de196ffc2d88291b01c1bebcf51182dc39

Aliases

arxiv: 1106.1304 · arxiv_version: 1106.1304v1 · doi: 10.48550/arxiv.1106.1304 · pith_short_12: AVUCL5AJAJHH · pith_short_16: AVUCL5AJAJHHW2CN · pith_short_8: AVUCL5AJ

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/AVUCL5AJAJHHW2CN76Z4E2OR3Y \
  | 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: 056825f409024e7b684dffb3c269d1de196ffc2d88291b01c1bebcf51182dc39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175bd05b009d5122aad2279af784391c25f7f7b730ff4d8964e267c76c8c0ed5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-07T10:09:15Z",
    "title_canon_sha256": "bcf1eac4a01b9bafd66b2bf7003c956bfb7755222f8d1ee2bc916390599254b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1304",
    "kind": "arxiv",
    "version": 1
  }
}