Pith Number

pith:VUPXSP55

pith:2011:VUPXSP5547KAMLW7CL4UPG7DG3

not attested not anchored not stored refs pending

On the vanishing ranges for the cohomology of finite groups of Lie type II

Christopher P. Bendel, Cornelius Pillen, Daniel K. Nakano

arxiv:1112.2367 v1 · 2011-12-11 · 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{VUPXSP5547KAMLW7CL4UPG7DG3}

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	2026-05-18T04:06:34.644607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1f793fbde7d4062edf12f9479be336e22d33724c4c4adc10aaa886039cfe10

Aliases

arxiv: 1112.2367 · arxiv_version: 1112.2367v1 · doi: 10.48550/arxiv.1112.2367 · pith_short_12: VUPXSP5547KA · pith_short_16: VUPXSP5547KAMLW7 · pith_short_8: VUPXSP55

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/VUPXSP5547KAMLW7CL4UPG7DG3 \
  | 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: ad1f793fbde7d4062edf12f9479be336e22d33724c4c4adc10aaa886039cfe10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b07c48586f7ca3b598d6949b4ddd6918fe18f9b84b388f5e10ab36112dda209",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-11T15:35:10Z",
    "title_canon_sha256": "d57db9f6639edb9696bc627ee59a318342f96fd986dcb302848b6c37d5378401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2367",
    "kind": "arxiv",
    "version": 1
  }
}