Pith Number

pith:TSND3WBI

pith:2010:TSND3WBIQRP4HS2WNTBHSAMRDS

not attested not anchored not stored refs pending

On a filtration of the second cohomology of nilpotent Lie algebras

Dieter Degrijse

arxiv:1007.5150 v2 · 2010-07-29 · math.RA · 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{TSND3WBIQRP4HS2WNTBHSAMRDS}

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	2026-05-18T03:06:22.769390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c9a3dd828845fc3cb566cc27901911c9a692b0b8326ad88dae6ecd34c6f18a9

Aliases

arxiv: 1007.5150 · arxiv_version: 1007.5150v2 · doi: 10.48550/arxiv.1007.5150 · pith_short_12: TSND3WBIQRP4 · pith_short_16: TSND3WBIQRP4HS2W · pith_short_8: TSND3WBI

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/TSND3WBIQRP4HS2WNTBHSAMRDS \
  | 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: 9c9a3dd828845fc3cb566cc27901911c9a692b0b8326ad88dae6ecd34c6f18a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b9da5cb4a709915757d94bb76a815e8839494569e0b2d6cd8f1d222ce7f532",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-07-29T08:46:40Z",
    "title_canon_sha256": "8318affb0df028d3ec0abc7592d403b010740fc9310fb40d1d7d1d82ddd3534b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5150",
    "kind": "arxiv",
    "version": 2
  }
}