Pith Number

pith:PKWQ7MWA

pith:2017:PKWQ7MWAL6G5ABNE45MLSJQGIO

not attested not anchored not stored refs pending

Quaternary quadratic lattices over number fields

Gabriele Nebe, Markus Kirschmer

arxiv:1705.06525 v2 · 2017-05-18 · 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{PKWQ7MWAL6G5ABNE45MLSJQGIO}

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	2026-05-18T00:06:12.417979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aad0fb2c05f8dd005a4e758b9260643819fc37d520d85b762c7eb65b3debf0d

Aliases

arxiv: 1705.06525 · arxiv_version: 1705.06525v2 · doi: 10.48550/arxiv.1705.06525 · pith_short_12: PKWQ7MWAL6G5 · pith_short_16: PKWQ7MWAL6G5ABNE · pith_short_8: PKWQ7MWA

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/PKWQ7MWAL6G5ABNE45MLSJQGIO \
  | 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: 7aad0fb2c05f8dd005a4e758b9260643819fc37d520d85b762c7eb65b3debf0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ea6b521984cc93c5bdd9b78e33dc3c67203705c7998af188fed9f62a2fbab8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-18T11:13:18Z",
    "title_canon_sha256": "59342d499e9b97335c3e72ca1c23778afd504c556de9b9f3fad04b37284a9fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06525",
    "kind": "arxiv",
    "version": 2
  }
}