Pith Number

pith:XH7ZABFK

pith:2023:XH7ZABFK6WI7BQZ72FP3YDSNBJ

not attested not anchored not stored refs pending

A PEL-type Igusa Stack and the $p$-adic Geometry of Shimura Varieties

Mingjia Zhang

arxiv:2309.05152 v2 · 2023-09-10 · math.NT · 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{XH7ZABFK6WI7BQZ72FP3YDSNBJ}

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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

3 papers in Pith

On a conjecture of Pappas and Rapoport

Igusa Stacks and the Cohomology of Shimura Varieties

On the non-generic part of cohomology of compact unitary Shimura varieties of signature $(1,n)$

Receipt and verification

First computed	2026-05-26T01:03:07.806949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ff9004aaf591f0c33fd15fbc0e4d0a5df243dc0bb26c6d3d5cc01361a6fd3d

Aliases

arxiv: 2309.05152 · arxiv_version: 2309.05152v2 · doi: 10.48550/arxiv.2309.05152 · pith_short_12: XH7ZABFK6WI7 · pith_short_16: XH7ZABFK6WI7BQZ7 · pith_short_8: XH7ZABFK

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/XH7ZABFK6WI7BQZ72FP3YDSNBJ \
  | 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: b9ff9004aaf591f0c33fd15fbc0e4d0a5df243dc0bb26c6d3d5cc01361a6fd3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0288b50e390a33fefc83a53f5ea2a77ff2ac9a37e1d701d0da0b731835608c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-09-10T22:03:58Z",
    "title_canon_sha256": "e2699f288098d27f2ef2faf73016dbce90c70c56c202514e3ebfe74f5494c440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.05152",
    "kind": "arxiv",
    "version": 2
  }
}