Pith Number

pith:POJNUAXW

pith:2011:POJNUAXWTTJ6EZNO5LIVASOKX5

not attested not anchored not stored refs pending

On the cohomology of compact unitary group Shimura varieties at ramified split places

Peter Scholze, Sug Woo Shin

arxiv:1110.0232 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{POJNUAXWTTJ6EZNO5LIVASOKX5}

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	2026-05-18T04:11:50.469057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b92da02f69cd3e265aeead15049cabf510d0f23842e2c7ccbff353bd1a8b405

Aliases

arxiv: 1110.0232 · arxiv_version: 1110.0232v1 · doi: 10.48550/arxiv.1110.0232 · pith_short_12: POJNUAXWTTJ6 · pith_short_16: POJNUAXWTTJ6EZNO · pith_short_8: POJNUAXW

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/POJNUAXWTTJ6EZNO5LIVASOKX5 \
  | 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: 7b92da02f69cd3e265aeead15049cabf510d0f23842e2c7ccbff353bd1a8b405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56edba42abaebe9b60d5088af80e0e03af7e40e35e1d1f972b5120dc205b3dd1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-02T20:48:43Z",
    "title_canon_sha256": "24ecd690ee15b650d543a754bf9fab708cff3ed82b669fa5e44a687d451c8881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0232",
    "kind": "arxiv",
    "version": 1
  }
}