Pith Number

pith:LB5RJBX4

pith:2002:LB5RJBX46O5RWHXPY3IE5G3JTL

not attested not anchored not stored refs pending

Equivalence rationnelle, equivalence numerique et produits de courbes elliptiques sur un corps fini

Bruno Kahn

arxiv:math/0205158 v2 · 2002-05-14 · math.AG · 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{LB5RJBX46O5RWHXPY3IE5G3JTL}

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	2026-05-18T04:41:05.475770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

587b1486fcf3bb1b1eefc6d04e9b699ad37cb543dafc7cedbd6175066f7d632c

Aliases

arxiv: math/0205158 · arxiv_version: math/0205158v2 · doi: 10.48550/arxiv.math/0205158 · pith_short_12: LB5RJBX46O5R · pith_short_16: LB5RJBX46O5RWHXP · pith_short_8: LB5RJBX4

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/LB5RJBX46O5RWHXPY3IE5G3JTL \
  | 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: 587b1486fcf3bb1b1eefc6d04e9b699ad37cb543dafc7cedbd6175066f7d632c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b79e04b1aaafa76679769ac6cdc5daa32ae1496a345bf0fca38de84d1c78213",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-05-14T14:51:20Z",
    "title_canon_sha256": "ee16d313a9de952d53246b9807b5fa8ce7331898906b8e2e7ad33f704f61d626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205158",
    "kind": "arxiv",
    "version": 2
  }
}