Pith Number

pith:ZIC2YK7J

pith:2013:ZIC2YK7JEL5UUBK33YA2RVXQAN

not attested not anchored not stored refs pending

The supersingular locus of the Shimura variety for GU(1,n-1) over a ramified prime

Michael Rapoport, Sean Wilson, Ulrich Terstiege

arxiv:1301.1226 v3 · 2013-01-07 · math.AG · 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{ZIC2YK7JEL5UUBK33YA2RVXQAN}

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	2026-05-18T03:09:50.431530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca05ac2be922fb4a055bde01a8d6f0034f38526d8f334c5d63581f213f751927

Aliases

arxiv: 1301.1226 · arxiv_version: 1301.1226v3 · doi: 10.48550/arxiv.1301.1226 · pith_short_12: ZIC2YK7JEL5U · pith_short_16: ZIC2YK7JEL5UUBK3 · pith_short_8: ZIC2YK7J

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/ZIC2YK7JEL5UUBK33YA2RVXQAN \
  | 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: ca05ac2be922fb4a055bde01a8d6f0034f38526d8f334c5d63581f213f751927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46db462231d0fdf806648acaeab0c07e2cbd9d4e2ad6fa810a9399130b0be670",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-07T15:22:53Z",
    "title_canon_sha256": "57071fa02f78e1f67eefb8dc07cb3c3fb2b4748163cf2341433ee6193b44ac75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1226",
    "kind": "arxiv",
    "version": 3
  }
}