Pith Number

pith:DDGVMOAG

pith:2013:DDGVMOAG4F76DF4CFN3DJ6ATYI

not attested not anchored not stored refs pending

Root separation for reducible integer polynomials

Andrej Dujella, Yann Bugeaud

arxiv:1306.2128 v2 · 2013-06-10 · 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{DDGVMOAG4F76DF4CFN3DJ6ATYI}

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	2026-05-18T02:51:15.114005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18cd563806e17fe197822b7634f813c21c5e4e6762e3aafab337a9fa89c0c22b

Aliases

arxiv: 1306.2128 · arxiv_version: 1306.2128v2 · doi: 10.48550/arxiv.1306.2128 · pith_short_12: DDGVMOAG4F76 · pith_short_16: DDGVMOAG4F76DF4C · pith_short_8: DDGVMOAG

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/DDGVMOAG4F76DF4CFN3DJ6ATYI \
  | 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: 18cd563806e17fe197822b7634f813c21c5e4e6762e3aafab337a9fa89c0c22b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d003f162c862ff41be031933f5b2c5676f899ca4b20d0e702909a4e1072e4b71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-10T08:06:55Z",
    "title_canon_sha256": "a2f61dcc5ba8c58125e3a93b5d6d391d72e41c4b8807e123c3a04c035b30c6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2128",
    "kind": "arxiv",
    "version": 2
  }
}