Pith Number

pith:DOY5KZST

pith:2011:DOY5KZSTXTZ64ISJ5IVC3VX74E

not attested not anchored not stored refs pending

On the Cohomology of Deligne-Lusztig Varieties

David A. Craven

arxiv:1107.1871 v2 · 2011-07-10 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOY5KZSTXTZ64ISJ5IVC3VX74E}

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	2026-05-18T02:21:43.036080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb1d56653bcf3ee2249ea2a2dd6ffe12f6312c368c898aaff505108832db53d

Aliases

arxiv: 1107.1871 · arxiv_version: 1107.1871v2 · doi: 10.48550/arxiv.1107.1871 · pith_short_12: DOY5KZSTXTZ6 · pith_short_16: DOY5KZSTXTZ64ISJ · pith_short_8: DOY5KZST

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/DOY5KZSTXTZ64ISJ5IVC3VX74E \
  | 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: 1bb1d56653bcf3ee2249ea2a2dd6ffe12f6312c368c898aaff505108832db53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f554aaed50955566a787f9d2e5710674fa07b3b43c04f95fe14cdd48b95cd46b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-10T16:27:09Z",
    "title_canon_sha256": "b179e9b3ecfa79b243b777ed46d6d83e94fbb652581fb72af0b218dbb2e2112d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1871",
    "kind": "arxiv",
    "version": 2
  }
}