Pith Number

pith:ZDBUNFO3

pith:2003:ZDBUNFO3L6SRCZBFWKLNSOWYSY

not attested not anchored not stored refs pending

Probl\`eme de Lehmer pour les hypersurfaces de vari\'et\'es ab\'eliennes de type C.M

Nicolas Ratazzi

arxiv:math/0307095 v1 · 2003-07-08 · math.NT · 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{ZDBUNFO3L6SRCZBFWKLNSOWYSY}

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	2026-05-18T01:38:28.967155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c34695db5fa5116425b296d93ad8963da540ec1bff058fcc0a7dc14bc85f7f

Aliases

arxiv: math/0307095 · arxiv_version: math/0307095v1 · doi: 10.48550/arxiv.math/0307095 · pith_short_12: ZDBUNFO3L6SR · pith_short_16: ZDBUNFO3L6SRCZBF · pith_short_8: ZDBUNFO3

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/ZDBUNFO3L6SRCZBFWKLNSOWYSY \
  | 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: c8c34695db5fa5116425b296d93ad8963da540ec1bff058fcc0a7dc14bc85f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e591600ff7a81c712ffd06d8f96220248daa24afb62d10228448947b08e18310",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-07-08T16:21:39Z",
    "title_canon_sha256": "0a1d7540577bd9d4cb51e4ea2e60fcf44f6e95c4cb759041350ad666e7ff5a37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307095",
    "kind": "arxiv",
    "version": 1
  }
}