Pith Number

pith:A53NNS6J

pith:2017:A53NNS6J6FNWVM54A363T3QOFD

not attested not anchored not stored refs pending

Arithmetic diagonal cycles on unitary Shimura varieties

Brian Smithling, Michael Rapoport, Wei Zhang

arxiv:1710.06962 v6 · 2017-10-18 · 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{A53NNS6J6FNWVM54A363T3QOFD}

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	2026-07-05T00:58:00.322304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0776d6cbc9f15b6ab3bc06fdb9ee0e28e885e1d1af7d114a9e3d0ffd87251684

Aliases

arxiv: 1710.06962 · arxiv_version: 1710.06962v6 · doi: 10.48550/arxiv.1710.06962 · pith_short_12: A53NNS6J6FNW · pith_short_16: A53NNS6J6FNWVM54 · pith_short_8: A53NNS6J

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/A53NNS6J6FNWVM54A363T3QOFD \
  | 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: 0776d6cbc9f15b6ab3bc06fdb9ee0e28e885e1d1af7d114a9e3d0ffd87251684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9821183aa79ae77c7373d0c22341988980fc544736c3126d5f22c616682cee2e",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-18T23:35:46Z",
    "title_canon_sha256": "08d0216c36586dfaa82bb08137eb405b1b3aaf6acfbcd3f7eec45ced51c8a902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06962",
    "kind": "arxiv",
    "version": 6
  }
}