Pith Number

pith:UDVDDEMG

pith:2012:UDVDDEMGBKNMMWCDR5KFKWPJ3A

not attested not anchored not stored refs pending

Nombre de classes des tores de multiplication complexe et bornes inferieures pour orbites Galoisiennes de points speciaux

Andrei Yafaev, Emmanuel Ullmo

arxiv:1209.0942 v2 · 2012-09-05 · 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{UDVDDEMGBKNMMWCDR5KFKWPJ3A}

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	2026-05-18T03:13:46.403448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ea3191860a9ac658438f545559e9d8233df75d62bdabbf0a288ace815fc5cb

Aliases

arxiv: 1209.0942 · arxiv_version: 1209.0942v2 · doi: 10.48550/arxiv.1209.0942 · pith_short_12: UDVDDEMGBKNM · pith_short_16: UDVDDEMGBKNMMWCD · pith_short_8: UDVDDEMG

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/UDVDDEMGBKNMMWCDR5KFKWPJ3A \
  | 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: a0ea3191860a9ac658438f545559e9d8233df75d62bdabbf0a288ace815fc5cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d10ffb1cbafc3062c47cb6ea0b181a2f6ee5c35f46fe648308a75f5f107ccee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-05T12:05:53Z",
    "title_canon_sha256": "29ec5ee97dad9152b6c9a7ab94f2c61047defa20224e961bbfac55e998f08d6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0942",
    "kind": "arxiv",
    "version": 2
  }
}