Pith Number

pith:L23G2OLC

pith:2012:L23G2OLCW26GMKYENGU76VONPQ

not attested not anchored not stored refs pending

Group schemes out of birational group laws, N\'eron models

Bas Edixhoven, Matthieu Romagny (IRMAR)

arxiv:1204.1799 v3 · 2012-04-09 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L23G2OLCW26GMKYENGU76VONPQ}

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	2026-05-18T03:20:56.940383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eb66d3962b6bc662b0469a9ff55cd7c2ba068b0fee696c05d6bb26ff020febe

Aliases

arxiv: 1204.1799 · arxiv_version: 1204.1799v3 · doi: 10.48550/arxiv.1204.1799 · pith_short_12: L23G2OLCW26G · pith_short_16: L23G2OLCW26GMKYE · pith_short_8: L23G2OLC

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/L23G2OLCW26GMKYENGU76VONPQ \
  | 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: 5eb66d3962b6bc662b0469a9ff55cd7c2ba068b0fee696c05d6bb26ff020febe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7f765037c0a8280fcdd54b8f118c2c3ca638824341057d183ea2ed7a940480d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-09T05:38:23Z",
    "title_canon_sha256": "01fe6ee7d7e8acba50b8a9ecb976cd0a815b5139760a1c579f25403293ba5898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1799",
    "kind": "arxiv",
    "version": 3
  }
}