Pith Number

pith:CM5D5G4Z

pith:2018:CM5D5G4Z42HRMBOHWBL76K4FJL

not attested not anchored not stored refs pending

La constante de Manin et le degr\'e modulaire d'une courbe elliptique

Bernadette Perrin-Riou, Dominique Bernardi, Karim Belabas

arxiv:1805.01622 v1 · 2018-05-04 · 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{CM5D5G4Z42HRMBOHWBL76K4FJL}

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	2026-05-18T00:16:47.277154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133a3e9b99e68f1605c7b057ff2b854ad5ef274a96c25cb75148dd1ebb7c2393

Aliases

arxiv: 1805.01622 · arxiv_version: 1805.01622v1 · doi: 10.48550/arxiv.1805.01622 · pith_short_12: CM5D5G4Z42HR · pith_short_16: CM5D5G4Z42HRMBOH · pith_short_8: CM5D5G4Z

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/CM5D5G4Z42HRMBOHWBL76K4FJL \
  | 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: 133a3e9b99e68f1605c7b057ff2b854ad5ef274a96c25cb75148dd1ebb7c2393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f675f104fdd19ade8b7f9f8d82ec47402dfaa3385751bbbb9598aa999964e6e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-04T06:35:52Z",
    "title_canon_sha256": "dd1212d603dea1947695c846a3fefad6f99e22f33ef98fe61d6afc7526d26499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01622",
    "kind": "arxiv",
    "version": 1
  }
}