Pith Number

pith:IYK5DIQR

pith:2026:IYK5DIQRJO7GMCMSCXOXRECZMK

not attested not anchored not stored refs pending

Modular Heights of Unitary Shimura Varieties III: Proof of the Main Theorem

Ziqi Guo

arxiv:2606.19158 v1 · 2026-06-17 · 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{IYK5DIQRJO7GMCMSCXOXRECZMK}

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	2026-06-19T16:11:58.049921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4615d1a2114bbe66099215dd789059629ca9abc9bed4f73826d8df8ca8690565

Aliases

arxiv: 2606.19158 · arxiv_version: 2606.19158v1 · doi: 10.48550/arxiv.2606.19158 · pith_short_12: IYK5DIQRJO7G · pith_short_16: IYK5DIQRJO7GMCMS · pith_short_8: IYK5DIQR

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/IYK5DIQRJO7GMCMSCXOXRECZMK \
  | 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: 4615d1a2114bbe66099215dd789059629ca9abc9bed4f73826d8df8ca8690565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ff0443328131de5fbdd7866a2b41454406389fab0b434b1432efab1937ca4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-17T15:00:37Z",
    "title_canon_sha256": "64c8b22519df4c6dbb1281b85edbfb0c7a0282f230e8badb19bd914373e74d99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19158",
    "kind": "arxiv",
    "version": 1
  }
}