Pith Number

pith:GWQQANBF

pith:2010:GWQQANBFTX64RI2IAEEC263TEI

not attested not anchored not stored refs pending

Nilpotence in Group Cohomology

Nicholas J. Kuhn

arxiv:1002.4662 v2 · 2010-02-24 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWQQANBFTX64RI2IAEEC263TEI}

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	2026-05-18T03:19:57.147555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35a10034259dfdc8a34801082d7b732225fffc546f75a4e68d309c73690fc682

Aliases

arxiv: 1002.4662 · arxiv_version: 1002.4662v2 · doi: 10.48550/arxiv.1002.4662 · pith_short_12: GWQQANBFTX64 · pith_short_16: GWQQANBFTX64RI2I · pith_short_8: GWQQANBF

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/GWQQANBFTX64RI2IAEEC263TEI \
  | 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: 35a10034259dfdc8a34801082d7b732225fffc546f75a4e68d309c73690fc682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c963dd83f7c26fd681d3bdb822db08f24ff4ee07ecda16b8fa63c2573af4c6e3",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-02-24T23:46:07Z",
    "title_canon_sha256": "fd97b7deedbab51ecb8e83ac85f8a988e2e44d35375b8de09ffa4f00d0e5cedb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4662",
    "kind": "arxiv",
    "version": 2
  }
}