Pith Number

pith:KE67TUW3

pith:2009:KE67TUW3ZG4FXT25NQ5NBSSBZJ

not attested not anchored not stored refs pending

Cohomology of finite dimensional pointed Hopf algebras

J. Pevtsova, M. Mastnak, P. Schauenburg, S. Witherspoon

arxiv:0902.0801 v2 · 2009-02-04 · math.RA · math.KT · 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{KE67TUW3ZG4FXT25NQ5NBSSBZJ}

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	2026-05-18T02:58:10.745302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513df9d2dbc9b85bcf5d6c3ad0ca41ca7f6591b782bc208de0b8ce709334a688

Aliases

arxiv: 0902.0801 · arxiv_version: 0902.0801v2 · doi: 10.48550/arxiv.0902.0801 · pith_short_12: KE67TUW3ZG4F · pith_short_16: KE67TUW3ZG4FXT25 · pith_short_8: KE67TUW3

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/KE67TUW3ZG4FXT25NQ5NBSSBZJ \
  | 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: 513df9d2dbc9b85bcf5d6c3ad0ca41ca7f6591b782bc208de0b8ce709334a688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bff4d26880bd4ad8b46e444142d1fefd64216f6a31576fcfc8b4b62b443cd8cf",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-02-04T21:41:47Z",
    "title_canon_sha256": "0a983cbcfc08403ae5b1d84e8955c6ba6190d58d48e3dc55e3143029f96fa3f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0801",
    "kind": "arxiv",
    "version": 2
  }
}