Pith Number

pith:22VJK6VB

pith:2019:22VJK6VBWVSHCAI7UKDJ2B6YIW

not attested not anchored not stored refs pending

On Shimura varieties for unitary groups

Brian Smithling, Michael Rapoport, Wei Zhang

arxiv:1906.12346 v2 · 2019-06-28 · math.NT · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22VJK6VBWVSHCAI7UKDJ2B6YIW}

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.

Cited by

1 paper in Pith

Weil representation and Arithmetic Fundamental Lemma

Receipt and verification

First computed	2026-07-05T01:30:38.369100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6aa957aa1b56471011fa2869d07d8458f7be60c63a66d0746f39b3e22f2bb20

Aliases

arxiv: 1906.12346 · arxiv_version: 1906.12346v2 · doi: 10.48550/arxiv.1906.12346 · pith_short_12: 22VJK6VBWVSH · pith_short_16: 22VJK6VBWVSHCAI7 · pith_short_8: 22VJK6VB

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/22VJK6VBWVSHCAI7UKDJ2B6YIW \
  | 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: d6aa957aa1b56471011fa2869d07d8458f7be60c63a66d0746f39b3e22f2bb20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2254cf740ec1eb1077bce9d5ad2bc3f2e477983f6f599a108692ce3a6c05c003",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-28T17:55:26Z",
    "title_canon_sha256": "c436853561af4c02c20308b2360c965a16ce5599ca38cffcf2205f8e7dcfc308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12346",
    "kind": "arxiv",
    "version": 2
  }
}