Pith Number

pith:43GLLMSJ

pith:2012:43GLLMSJAKPBGUDYU4475L2ALW

not attested not anchored not stored refs pending

Bornes optimales pour la diff\'erence entre la hauteur de Weil et la hauteur de N\'eron-Tate sur les courbes elliptiques sur \Qbar

Peter Bruin

arxiv:1212.6515 v1 · 2012-12-28 · 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{43GLLMSJAKPBGUDYU4475L2ALW}

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	2026-05-18T02:49:46.135735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ccb5b249029e135078a739feaf405db7e241d137d05d3d1a9232db25b50d2a

Aliases

arxiv: 1212.6515 · arxiv_version: 1212.6515v1 · doi: 10.48550/arxiv.1212.6515 · pith_short_12: 43GLLMSJAKPB · pith_short_16: 43GLLMSJAKPBGUDY · pith_short_8: 43GLLMSJ

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/43GLLMSJAKPBGUDYU4475L2ALW \
  | 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: e6ccb5b249029e135078a739feaf405db7e241d137d05d3d1a9232db25b50d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26adf2dad559b860207ad4604c5aa1951651711d0c537ac6f2d4e6350ac094ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-28T13:04:16Z",
    "title_canon_sha256": "7ae8328d9303547d5edf98bf308198c4cc342e9acd8ae4b705600a7b618ec33d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6515",
    "kind": "arxiv",
    "version": 1
  }
}