Pith Number

pith:2IWDALXU

pith:2012:2IWDALXU4CVTFJZ44VTTA5GDMJ

not attested not anchored not stored refs pending

Density of crystalline points on unitary Shimura varieties

Przemyslaw Chojecki

arxiv:1206.1250 v1 · 2012-06-06 · 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{2IWDALXU4CVTFJZ44VTTA5GDMJ}

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	2026-05-18T03:54:06.563025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22c302ef4e0ab32a73ce5673074c3626dfc7d97ecf4d60cb1955e910428a63d

Aliases

arxiv: 1206.1250 · arxiv_version: 1206.1250v1 · doi: 10.48550/arxiv.1206.1250 · pith_short_12: 2IWDALXU4CVT · pith_short_16: 2IWDALXU4CVTFJZ4 · pith_short_8: 2IWDALXU

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/2IWDALXU4CVTFJZ44VTTA5GDMJ \
  | 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: d22c302ef4e0ab32a73ce5673074c3626dfc7d97ecf4d60cb1955e910428a63d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b174c7988c861fb3856cb71a55848274eb7415eb7bce106b47a7e146bcd7a5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-06T14:54:19Z",
    "title_canon_sha256": "0abe9f697a67d41bf425db82d6f696ffbede9f6a063bae038da40e6ebd3f6721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1250",
    "kind": "arxiv",
    "version": 1
  }
}