Pith Number

pith:35AZ4CCE

pith:2009:35AZ4CCE7AB2JIVY7EI7PL44QY

not attested not anchored not stored refs pending

Cohomology of classical algebraic groups from the functorial viewpoint

Antoine Touz\'e

arxiv:0902.4459 v3 · 2009-02-25 · 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{35AZ4CCE7AB2JIVY7EI7PL44QY}

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	2026-05-18T04:33:40.050511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df419e0844f803a4a2b8f911f7af9c862e1a08d59c6e964452c95540b21ab353

Aliases

arxiv: 0902.4459 · arxiv_version: 0902.4459v3 · doi: 10.48550/arxiv.0902.4459 · pith_short_12: 35AZ4CCE7AB2 · pith_short_16: 35AZ4CCE7AB2JIVY · pith_short_8: 35AZ4CCE

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/35AZ4CCE7AB2JIVY7EI7PL44QY \
  | 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: df419e0844f803a4a2b8f911f7af9c862e1a08d59c6e964452c95540b21ab353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abcd59e904ed87010892e30b4b5559d3a363d80e401a5aa2dd2d4895fa4ec27b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-02-25T20:46:48Z",
    "title_canon_sha256": "9f720d7ddd9e5c8033ad34f878f599817e15fce45c119d38e9dbed321f69d2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4459",
    "kind": "arxiv",
    "version": 3
  }
}