Pith Number

pith:D5ENX6QW

pith:2024:D5ENX6QWKSZPXA2YRU5VU2SLMP

not attested not anchored not stored refs pending

Enumerating orders in number fields

J\"urgen Kl\"uners, Markus Kirschmer

arxiv:2411.08568 v1 · 2024-11-13 · 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{D5ENX6QWKSZPXA2YRU5VU2SLMP}

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.

Cited by

1 paper in Pith

Isogeny graphs of abelian varieties and singular ideals in orders

Receipt and verification

First computed	2026-07-05T09:34:49.463830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f48dbfa1654b2fb83588d3b5a6a4b63ec7d5bb89816f0981083773f069a9e58

Aliases

arxiv: 2411.08568 · arxiv_version: 2411.08568v1 · doi: 10.48550/arxiv.2411.08568 · pith_short_12: D5ENX6QWKSZP · pith_short_16: D5ENX6QWKSZPXA2Y · pith_short_8: D5ENX6QW

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/D5ENX6QWKSZPXA2YRU5VU2SLMP \
  | 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: 1f48dbfa1654b2fb83588d3b5a6a4b63ec7d5bb89816f0981083773f069a9e58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91da8f8d2b3afcd75bfc0a68b6b03801692d6a1defb5565de0b89aafeafbbd46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-13T12:29:02Z",
    "title_canon_sha256": "c8d162cb961f689f83252a9989d397ba96f97af44999abb6a7867f7782c6388c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.08568",
    "kind": "arxiv",
    "version": 1
  }
}