Pith Number

pith:XR7FL3EU

pith:2011:XR7FL3EUMJX6FHRQ5PTESS2MOW

not attested not anchored not stored refs pending

The Langlands-Kottwitz method and deformation spaces of $p$-divisible groups

Peter Scholze

arxiv:1110.0230 v1 · 2011-10-02 · math.AG · 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{XR7FL3EUMJX6FHRQ5PTESS2MOW}

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	2026-05-18T04:11:50.479834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7e55ec94626fe29e30ebe6494b4c759ab6c07bfadc2f647fd31c741d1ee76a

Aliases

arxiv: 1110.0230 · arxiv_version: 1110.0230v1 · doi: 10.48550/arxiv.1110.0230 · pith_short_12: XR7FL3EUMJX6 · pith_short_16: XR7FL3EUMJX6FHRQ · pith_short_8: XR7FL3EU

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/XR7FL3EUMJX6FHRQ5PTESS2MOW \
  | 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: bc7e55ec94626fe29e30ebe6494b4c759ab6c07bfadc2f647fd31c741d1ee76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134233523138febd19039723c7a207ac7f81a08d3e10b588d3c6675db21e3dd7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-02T20:35:58Z",
    "title_canon_sha256": "e78c710e3feb1467dce3b8f8d29cab2472571b4a3512d531134116678ab43c57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0230",
    "kind": "arxiv",
    "version": 1
  }
}