Pith Number

pith:WSDRSNN2

pith:2013:WSDRSNN2X2QYT3J7PP4FNKAFQ3

not attested not anchored not stored refs pending

On torsion in the cohomology of locally symmetric varieties

Peter Scholze

arxiv:1306.2070 v2 · 2013-06-09 · math.NT · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSDRSNN2X2QYT3J7PP4FNKAFQ3}

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	2026-05-18T01:59:53.727240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4871935babea189ed3f7bf856a80586df23342718ec7f8d3edb395566899674

Aliases

arxiv: 1306.2070 · arxiv_version: 1306.2070v2 · doi: 10.48550/arxiv.1306.2070 · pith_short_12: WSDRSNN2X2QY · pith_short_16: WSDRSNN2X2QYT3J7 · pith_short_8: WSDRSNN2

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/WSDRSNN2X2QYT3J7PP4FNKAFQ3 \
  | 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: b4871935babea189ed3f7bf856a80586df23342718ec7f8d3edb395566899674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db36657308ec59afc3c620b6c8df32e86e205ad28e50d041525d22c1f62eb75",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-09T22:48:34Z",
    "title_canon_sha256": "f47695727cec91788d516e21fe331858548e6d25925e672772d0d2fa6920e804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2070",
    "kind": "arxiv",
    "version": 2
  }
}