Pith Number

pith:OTUQ654Y

pith:2010:OTUQ654YVSLRDVGIM2XZ2BUAPL

not attested not anchored not stored refs pending

Root separation for irreducible integer polynomials

Andrej Dujella, Yann Bugeaud

arxiv:1007.3406 v2 · 2010-07-20 · 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{OTUQ654YVSLRDVGIM2XZ2BUAPL}

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	2026-05-18T02:58:01.997703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74e90f7798ac9711d4c866af9d06807ae8c7ae0503ffe46b4836d08ca202aa2c

Aliases

arxiv: 1007.3406 · arxiv_version: 1007.3406v2 · doi: 10.48550/arxiv.1007.3406 · pith_short_12: OTUQ654YVSLR · pith_short_16: OTUQ654YVSLRDVGI · pith_short_8: OTUQ654Y

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/OTUQ654YVSLRDVGIM2XZ2BUAPL \
  | 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: 74e90f7798ac9711d4c866af9d06807ae8c7ae0503ffe46b4836d08ca202aa2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bb82407ea65a06a86e245a75122c447a86975b2c0c28fea0088d9e63a5b1849",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-20T12:30:57Z",
    "title_canon_sha256": "b3a162399ebd30cfdfe5ca46f4ca6cf137cfff9315a130cbbb4dc41b0967de74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3406",
    "kind": "arxiv",
    "version": 2
  }
}