Pith Number

pith:EVWVOXIR

pith:2011:EVWVOXIRC5B2G2XH53EYSOKKC2

not attested not anchored not stored refs pending

A characterization of Eisenstein polynomials generating cyclic extensions of degree $p^2$ and $p^3$ over an unramified $\kp$-adic field

Maurizio Monge

arxiv:1109.4616 v1 · 2011-09-21 · 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{EVWVOXIRC5B2G2XH53EYSOKKC2}

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	2026-05-18T04:12:34.333675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256d575d111743a36ae7eec989394a16b1a3a965a29e15b2438642be2b9fb2f1

Aliases

arxiv: 1109.4616 · arxiv_version: 1109.4616v1 · doi: 10.48550/arxiv.1109.4616 · pith_short_12: EVWVOXIRC5B2 · pith_short_16: EVWVOXIRC5B2G2XH · pith_short_8: EVWVOXIR

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/EVWVOXIRC5B2G2XH53EYSOKKC2 \
  | 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: 256d575d111743a36ae7eec989394a16b1a3a965a29e15b2438642be2b9fb2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b39919058427d6b4d2938d08260532f056ebd1f13993065a08347e7fffba0ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-21T19:11:17Z",
    "title_canon_sha256": "e61cb21a451c4c59de83ddbd59da429cbb23747d42b7fc0ed0ba29660fd89758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4616",
    "kind": "arxiv",
    "version": 1
  }
}