Pith Number

pith:ZY3EM2KL

pith:2025:ZY3EM2KLRUTUU36DJZFHSU34XP

not attested not anchored not stored refs pending

Perfect $F$-gauges and finite flat group schemes

Keerthi Madapusi, Shubhodip Mondal

arxiv:2509.01573 v1 · 2025-09-01 · 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{ZY3EM2KLRUTUU36DJZFHSU34XP}

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 canonicity for integral models of Shimura varieties with hyperspecial level

Height 1 Group Schemes and Prismatic F-Gauges

Receipt and verification

First computed	2026-07-05T12:03:03.509325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce3646694b8d274a6fc34e4a79537cbbdbf6dceaf796c0a79660a9e42cf82782

Aliases

arxiv: 2509.01573 · arxiv_version: 2509.01573v1 · doi: 10.48550/arxiv.2509.01573 · pith_short_12: ZY3EM2KLRUTU · pith_short_16: ZY3EM2KLRUTUU36D · pith_short_8: ZY3EM2KL

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/ZY3EM2KLRUTUU36DJZFHSU34XP \
  | 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: ce3646694b8d274a6fc34e4a79537cbbdbf6dceaf796c0a79660a9e42cf82782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c058a09a4eadc7ecf55431b8ccf136a6b6cf82028ac8711919ec6c964ac7807",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-01T15:59:37Z",
    "title_canon_sha256": "91f9aa19d901590f128a5e2ec85143204c4595cd281d680f7d19401ce55e84b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01573",
    "kind": "arxiv",
    "version": 1
  }
}