Pith Number

pith:IB6BLSDW

pith:2013:IB6BLSDW76DBLD4U4OEDOLKWK5

not attested not anchored not stored refs pending

Central theorems for cohomologies of certain solvable groups

Hisashi Kasuya

arxiv:1311.1310 v4 · 2013-11-06 · math.GR · math.AG · math.GT · 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{IB6BLSDW76DBLD4U4OEDOLKWK5}

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	2026-05-18T01:31:53.501541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

407c15c876ff86158f94e388372d5657516e5375dc0209c9ba01624d9dd31d90

Aliases

arxiv: 1311.1310 · arxiv_version: 1311.1310v4 · doi: 10.48550/arxiv.1311.1310 · pith_short_12: IB6BLSDW76DB · pith_short_16: IB6BLSDW76DBLD4U · pith_short_8: IB6BLSDW

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/IB6BLSDW76DBLD4U4OEDOLKWK5 \
  | 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: 407c15c876ff86158f94e388372d5657516e5375dc0209c9ba01624d9dd31d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33c3e057ae01d4a173345ed0cb3433f814bfc3b7eeb0370aa01e1dbb7c274c6e",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-06T08:43:16Z",
    "title_canon_sha256": "5b260e0c78be89a18ac0d383812b64854e93f36ba4891082b43aeede2232e266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1310",
    "kind": "arxiv",
    "version": 4
  }
}