Pith Number

pith:5DNOHWHJ

pith:2025:5DNOHWHJNXLD7YDTV5NBYM5NRA

not attested not anchored not stored refs pending

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups

Eivind Otto Hjelle

arxiv:2506.11910 v1 · 2025-06-13 · 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{5DNOHWHJNXLD7YDTV5NBYM5NRA}

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	2026-07-05T11:21:12.664597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8dae3d8e96dd63fe073af5a1c33ad88023b0b9b86589e501c6642635baaa39a

Aliases

arxiv: 2506.11910 · arxiv_version: 2506.11910v1 · doi: 10.48550/arxiv.2506.11910 · pith_short_12: 5DNOHWHJNXLD · pith_short_16: 5DNOHWHJNXLD7YDT · pith_short_8: 5DNOHWHJ

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/5DNOHWHJNXLD7YDTV5NBYM5NRA \
  | 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: e8dae3d8e96dd63fe073af5a1c33ad88023b0b9b86589e501c6642635baaa39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a6ed188bb1861964b46f3ed302e885588e7a35e1edb651d0d7eed17fdb5090",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-13T16:02:51Z",
    "title_canon_sha256": "0214446ef4b9172169ac981c5fa5b26eecd2493d05d1637a5fa22345c8dbe146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11910",
    "kind": "arxiv",
    "version": 1
  }
}