Pith Number

pith:5P5U7RC3

pith:2024:5P5U7RC35PM3AWDQVEQTHVTJYC

not attested not anchored not stored refs pending

Computing class groups by induction with generalised norm relations

CANARI), Fabrice Etienne (IMB, UB

arxiv:2411.13124 v2 · 2024-11-20 · 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{5P5U7RC35PM3AWDQVEQTHVTJYC}

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	2026-07-05T10:52:38.499073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebfb4fc45bebd9b05870a92133d669c0960cc388efa51034e362576e9ceb1126

Aliases

arxiv: 2411.13124 · arxiv_version: 2411.13124v2 · doi: 10.48550/arxiv.2411.13124 · pith_short_12: 5P5U7RC35PM3 · pith_short_16: 5P5U7RC35PM3AWDQ · pith_short_8: 5P5U7RC3

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/5P5U7RC35PM3AWDQVEQTHVTJYC \
  | 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: ebfb4fc45bebd9b05870a92133d669c0960cc388efa51034e362576e9ceb1126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d3ace6d31554be7eabe2e2f8f262d63bca944e99592daa576ec60cbe0d8f17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-20T08:35:28Z",
    "title_canon_sha256": "1ae03756604084f6d7d8592477fd86c6e725726d7470a40fb643dc3cf9ab30ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13124",
    "kind": "arxiv",
    "version": 2
  }
}