Pith Number

pith:IRWHAXQM

pith:2011:IRWHAXQMKPN4DW7GB6W6O2WNH3

not attested not anchored not stored refs pending

Cohomology of Deligne-Lusztig varieties for groups of type A

Olivier Dudas (MI)

arxiv:1112.5383 v1 · 2011-12-22 · 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{IRWHAXQMKPN4DW7GB6W6O2WNH3}

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	2026-05-18T04:05:47.437405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

446c705e0c53dbc1dbe60fade76acd3ed44640fd9d02c6448d7b7f852fc85548

Aliases

arxiv: 1112.5383 · arxiv_version: 1112.5383v1 · doi: 10.48550/arxiv.1112.5383 · pith_short_12: IRWHAXQMKPN4 · pith_short_16: IRWHAXQMKPN4DW7G · pith_short_8: IRWHAXQM

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/IRWHAXQMKPN4DW7GB6W6O2WNH3 \
  | 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: 446c705e0c53dbc1dbe60fade76acd3ed44640fd9d02c6448d7b7f852fc85548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c0b6edfbd78eb8cb0236cb4b0665a1dd7a7fa5bba1602d8ea3802d4c089e94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-22T17:03:21Z",
    "title_canon_sha256": "2491e5fe38c46608bacd718fda0b29fc85b92a4ccbeffaccf2709cc3b7ade233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5383",
    "kind": "arxiv",
    "version": 1
  }
}