Pith Number

pith:INSRWP4Q

pith:2010:INSRWP4QBH35BGDRUJBSL7TYEH

not attested not anchored not stored refs pending

Some conjectures on the maximal height of divisors of $x^n-1$

Bryan C. Ward, Nathan C. Ryan, Ryan Ward

arxiv:1009.5970 v1 · 2010-09-29 · 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{INSRWP4QBH35BGDRUJBSL7TYEH}

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	2026-05-18T04:40:08.522331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43651b3f9009f7d09871a24325fe7821c49f4b8c5932b480e07201043cd73f95

Aliases

arxiv: 1009.5970 · arxiv_version: 1009.5970v1 · doi: 10.48550/arxiv.1009.5970 · pith_short_12: INSRWP4QBH35 · pith_short_16: INSRWP4QBH35BGDR · pith_short_8: INSRWP4Q

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/INSRWP4QBH35BGDRUJBSL7TYEH \
  | 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: 43651b3f9009f7d09871a24325fe7821c49f4b8c5932b480e07201043cd73f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfdd0a909219ef96b2335e8c22746d3b611bdd8b55104240b7bcad22257b69d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-29T18:35:36Z",
    "title_canon_sha256": "b2e8c09e046916c6c286c23d3a77e76c4f4ec2bda3139e0564a985375530e7b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5970",
    "kind": "arxiv",
    "version": 1
  }
}