Pith Number

pith:H4CB3356

pith:2012:H4CB3356SJDZMM3AXA32YID3MR

not attested not anchored not stored refs pending

Congruence relations for Shimura varieties associated to unitary groups

Jean-Stefan Koskivirta

arxiv:1211.1758 v2 · 2012-11-08 · 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{H4CB3356SJDZMM3AXA32YID3MR}

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	2026-05-18T03:36:56.273414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f041defbe9247963360b837ac207b644476d7cebf61767ee6c01fc8a0115bb3

Aliases

arxiv: 1211.1758 · arxiv_version: 1211.1758v2 · doi: 10.48550/arxiv.1211.1758 · pith_short_12: H4CB3356SJDZ · pith_short_16: H4CB3356SJDZMM3A · pith_short_8: H4CB3356

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/H4CB3356SJDZMM3AXA32YID3MR \
  | 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: 3f041defbe9247963360b837ac207b644476d7cebf61767ee6c01fc8a0115bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ec0e3b7310cb8c78748a4709202f449e749f08b59fb71701fe775c67aaecc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-08T04:42:52Z",
    "title_canon_sha256": "973be456e572b2d1d607d15a5a602b9f69fccb21ecac9ef3d7b2d0982dc0bba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1758",
    "kind": "arxiv",
    "version": 2
  }
}