Pith Number

pith:HSATQ4LY

pith:2021:HSATQ4LYDV4TSDYTI5LB3LQ7PX

not attested not anchored not stored refs pending

Independence of $\ell$ for Frobenius conjugacy classes attached to abelian varieties

Mark Kisin, Rong Zhou

arxiv:2103.09945 v2 · 2021-03-17 · 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{HSATQ4LYDV4TSDYTI5LB3LQ7PX}

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

3 papers in Pith

$p$-adic Maass--Shimura operators on $\mu$-ordinary Igusa varieties

Igusa Stacks and the Cohomology of Shimura Varieties

Integral models of Shimura varieties with parahoric level structure, II

Receipt and verification

First computed	2026-07-05T09:16:42.593949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c813871781d79390f1347561dae1f7dc386140634087dc7249f3fe093afaefa

Aliases

arxiv: 2103.09945 · arxiv_version: 2103.09945v2 · doi: 10.48550/arxiv.2103.09945 · pith_short_12: HSATQ4LYDV4T · pith_short_16: HSATQ4LYDV4TSDYT · pith_short_8: HSATQ4LY

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/HSATQ4LYDV4TSDYTI5LB3LQ7PX \
  | 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: 3c813871781d79390f1347561dae1f7dc386140634087dc7249f3fe093afaefa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4b1fdc17d263459f9d5d79484a2594c983b28892e7ee805e3b868affe0c990",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-03-17T23:22:18Z",
    "title_canon_sha256": "82fc73d374aeaaa38c2d9f042f1ed5c414692929c1b5eeb28b496cb53001ee52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.09945",
    "kind": "arxiv",
    "version": 2
  }
}