Pith Number

pith:AK27OVGM

pith:2011:AK27OVGMCH4SZLOA3N7DF3QTMF

not attested not anchored not stored refs pending

A Hochschild's 6-term exact sequence for restricted Lie superalgebras

Gongxiang Liu

arxiv:1109.2452 v1 · 2011-09-12 · math.QA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AK27OVGMCH4SZLOA3N7DF3QTMF}

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	2026-05-18T04:13:37.636817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b5f754cc11f92cadc0db7e32ee1361566268459caf25c597cc46a20885eefe

Aliases

arxiv: 1109.2452 · arxiv_version: 1109.2452v1 · doi: 10.48550/arxiv.1109.2452 · pith_short_12: AK27OVGMCH4S · pith_short_16: AK27OVGMCH4SZLOA · pith_short_8: AK27OVGM

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/AK27OVGMCH4SZLOA3N7DF3QTMF \
  | 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: 02b5f754cc11f92cadc0db7e32ee1361566268459caf25c597cc46a20885eefe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da8c97bf62941d9492302e713b18544fed2d46a2083d0aaf0522001a3fe0d90",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-09-12T13:09:03Z",
    "title_canon_sha256": "8f03030699b5bdbc8c637988079605d2695411fe167c32b8713b94fd4db12eb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2452",
    "kind": "arxiv",
    "version": 1
  }
}