Pith Number

pith:YGQTJ5QH

pith:2012:YGQTJ5QHWZ5A5B2XWSXNF7NVMD

not attested not anchored not stored refs pending

Galois orbits and equidistribution: towards the Andre-Oort conjecture

Andrei Yafaev, Emmanuel Ullmo

arxiv:1209.0934 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{YGQTJ5QHWZ5A5B2XWSXNF7NVMD}

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	2026-05-18T03:13:43.554140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1a134f607b67a0e8757b4aed2fdb560c97144983ca128af6f424a9c61e81dc3

Aliases

arxiv: 1209.0934 · arxiv_version: 1209.0934v2 · doi: 10.48550/arxiv.1209.0934 · pith_short_12: YGQTJ5QHWZ5A · pith_short_16: YGQTJ5QHWZ5A5B2X · pith_short_8: YGQTJ5QH

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/YGQTJ5QHWZ5A5B2XWSXNF7NVMD \
  | 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: c1a134f607b67a0e8757b4aed2fdb560c97144983ca128af6f424a9c61e81dc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27dbde94d33f5fa04c2c1c0b7148ea90d79af316b8c37dc6b56b6249954f1875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-05T11:46:25Z",
    "title_canon_sha256": "829b7319f84fe54c6134146f03ccacd6bb1506896a23555169b9899b4b5ad93f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0934",
    "kind": "arxiv",
    "version": 2
  }
}