Pith Number

pith:E4U376N4

pith:2012:E4U376N435QX2NC3MSQMIZB6W4

not attested not anchored not stored refs pending

Mumford-Tate and Generalised Shafarevich conjectures

Andrei Yafaev, Emmanuel Ullmo

arxiv:1209.0947 v1 · 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{E4U376N435QX2NC3MSQMIZB6W4}

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	2026-05-18T03:46:15.851441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2729bff9bcdf617d345b64a0c4643eb73c27e9e38a45c895643d3e4acbe782dd

Aliases

arxiv: 1209.0947 · arxiv_version: 1209.0947v1 · doi: 10.48550/arxiv.1209.0947 · pith_short_12: E4U376N435QX · pith_short_16: E4U376N435QX2NC3 · pith_short_8: E4U376N4

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/E4U376N435QX2NC3MSQMIZB6W4 \
  | 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: 2729bff9bcdf617d345b64a0c4643eb73c27e9e38a45c895643d3e4acbe782dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a4d1296c40799dc7ea3a4aa8aaff4aa01bf0e6438ac16cf2e8c92c3a782f808",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-05T12:29:22Z",
    "title_canon_sha256": "9e6144be7ca1a56397a91b36c0dc4e0bbe439878fd0d249b17536d0e8615be66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0947",
    "kind": "arxiv",
    "version": 1
  }
}