Pith Number

pith:RHPXSDKE

pith:2021:RHPXSDKETR3OCWPOKKF5ACFR7U

not attested not anchored not stored refs pending

The stable trace formula for Shimura varieties of abelian type

Mark Kisin, Sug Woo Shin, Yihang Zhu

arxiv:2110.05381 v1 · 2021-10-11 · 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{RHPXSDKETR3OCWPOKKF5ACFR7U}

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

2 papers in Pith

On a conjecture of Pappas and Rapoport

Igusa Stacks and the Cohomology of Shimura Varieties

Receipt and verification

First computed	2026-07-05T03:21:34.496696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89df790d449c76e159ee528bd008b1fd21f4190df3578a44609e4e764dc54f3d

Aliases

arxiv: 2110.05381 · arxiv_version: 2110.05381v1 · doi: 10.48550/arxiv.2110.05381 · pith_short_12: RHPXSDKETR3O · pith_short_16: RHPXSDKETR3OCWPO · pith_short_8: RHPXSDKE

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/RHPXSDKETR3OCWPOKKF5ACFR7U \
  | 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: 89df790d449c76e159ee528bd008b1fd21f4190df3578a44609e4e764dc54f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37206b227ceda07124a1627ec52d9ed012a13209599e09f5522271e53503652b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-10-11T16:15:29Z",
    "title_canon_sha256": "586ed83fb54345bfe5c30d74babc901c78936707315084bcd899109203ab4f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.05381",
    "kind": "arxiv",
    "version": 1
  }
}