Pith Number

pith:QI7W3ETF

pith:2008:QI7W3ETFQUIZARZ66SH4VJ5HKP

not attested not anchored not stored refs pending

Minoration de la hauteur de Neron-Tate sur les surfaces abeliennes

Fabien Pazuki

arxiv:0812.2854 v3 · 2008-12-15 · 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{QI7W3ETFQUIZARZ66SH4VJ5HKP}

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	2026-05-18T01:37:33.376070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823f6d9265851190473ef48fcaa7a753d8df8cc5b95a7875a2d68d94915077bc

Aliases

arxiv: 0812.2854 · arxiv_version: 0812.2854v3 · doi: 10.48550/arxiv.0812.2854 · pith_short_12: QI7W3ETFQUIZ · pith_short_16: QI7W3ETFQUIZARZ6 · pith_short_8: QI7W3ETF

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/QI7W3ETFQUIZARZ66SH4VJ5HKP \
  | 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: 823f6d9265851190473ef48fcaa7a753d8df8cc5b95a7875a2d68d94915077bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39fe59a21a517100d746ff494ad7ae697468bf88a25fc0cea6f6fa9498008c55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-12-15T16:27:04Z",
    "title_canon_sha256": "a1b41f473423242c7649c4dd1332b6308d0fb9928325219875a7431ee0a2576a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2854",
    "kind": "arxiv",
    "version": 3
  }
}