Pith Number

pith:5RIU2FDM

pith:2018:5RIU2FDMFHJ36DC7OMCW4GKZU3

not attested not anchored not stored refs pending

Slopes of Euclidean lattices, tensor product and group actions

Gabriele Nebe, Renaud Coulangeon

arxiv:1806.04984 v2 · 2018-06-13 · 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{5RIU2FDMFHJ36DC7OMCW4GKZU3}

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	2026-05-18T00:00:08.475452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec514d146c29d3bf0c5f73056e1959a6e363a7ec65f6399aae6fa0eea6817f2b

Aliases

arxiv: 1806.04984 · arxiv_version: 1806.04984v2 · doi: 10.48550/arxiv.1806.04984 · pith_short_12: 5RIU2FDMFHJ3 · pith_short_16: 5RIU2FDMFHJ36DC7 · pith_short_8: 5RIU2FDM

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/5RIU2FDMFHJ36DC7OMCW4GKZU3 \
  | 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: ec514d146c29d3bf0c5f73056e1959a6e363a7ec65f6399aae6fa0eea6817f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a041de6ef7eceee185b71729616096574331a2c07288d038cc7f3f3d34d264d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-13T12:38:45Z",
    "title_canon_sha256": "c5b96b7abdb1ec4eed96d263ad6a1d700943dde4fc8af18d81d3866999c11d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04984",
    "kind": "arxiv",
    "version": 2
  }
}