Pith Number

pith:AFQWMN4E

pith:2012:AFQWMN4E7NPQG7OZGO267GNZAS

not attested not anchored not stored refs pending

An explicit seven-term exact sequence for the cohomology of a Lie algebra extension

Karel Dekimpe, Manfred Hartl, Sarah Wauters

arxiv:1209.0277 v1 · 2012-09-03 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFQWMN4E7NPQG7OZGO267GNZAS}

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	2026-05-18T03:46:29.515395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0161663784fb5f037dd933b5ef99b90491c89eac1348d294a101fbd371a37e90

Aliases

arxiv: 1209.0277 · arxiv_version: 1209.0277v1 · doi: 10.48550/arxiv.1209.0277 · pith_short_12: AFQWMN4E7NPQ · pith_short_16: AFQWMN4E7NPQG7OZ · pith_short_8: AFQWMN4E

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/AFQWMN4E7NPQG7OZGO267GNZAS \
  | 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: 0161663784fb5f037dd933b5ef99b90491c89eac1348d294a101fbd371a37e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c39f2da2ea6ed1ccc23ddd77b9dfb17d867f3b483dd7547aab417fe407f680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-03T09:08:19Z",
    "title_canon_sha256": "624265c9959b4f8916d2e8119967b55d0c4180af050546a946ab1c0a721489bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0277",
    "kind": "arxiv",
    "version": 1
  }
}