Pith Number

pith:JI7EREUW

pith:2021:JI7EREUWEOCRXHUCHE2EV775QO

not attested not anchored not stored refs pending

Even Unimodular Lattices from Quaternion Algebras

Camilla Hollanti, Laia Amor\'os, M. Taoufiq Damir

arxiv:2109.09993 v2 · 2021-09-21 · 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{JI7EREUWEOCRXHUCHE2EV775QO}

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	2026-07-05T03:17:04.534168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a3e48929623851b9e8239344afffd83a708f89804b644da89567bb819deddfe

Aliases

arxiv: 2109.09993 · arxiv_version: 2109.09993v2 · doi: 10.48550/arxiv.2109.09993 · pith_short_12: JI7EREUWEOCR · pith_short_16: JI7EREUWEOCRXHUC · pith_short_8: JI7EREUW

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/JI7EREUWEOCRXHUCHE2EV775QO \
  | 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: 4a3e48929623851b9e8239344afffd83a708f89804b644da89567bb819deddfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e61a0d06afb631222b35c072ff20f7e37916690c70c33a6a265063f0af8ea686",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-09-21T06:50:41Z",
    "title_canon_sha256": "e693389ed7ecb36c0962fe26830cd4e90755eafc5943f70ba84707d3bbc82387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09993",
    "kind": "arxiv",
    "version": 2
  }
}