Pith Number

pith:LNS4D3SP

pith:2010:LNS4D3SPMLUCNN5QF32UM7XE7B

not attested not anchored not stored refs pending

The computation of the cohomology rings of all groups of order 128

David J. Green, Simon A. King

arxiv:1001.2577 v2 · 2010-01-14 · math.GR · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNS4D3SPMLUCNN5QF32UM7XE7B}

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	2026-05-18T04:35:46.132294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b65c1ee4f62e826b7b02ef5467ee4f86cc8dd821cca437032a9a85a9ef3281a

Aliases

arxiv: 1001.2577 · arxiv_version: 1001.2577v2 · doi: 10.48550/arxiv.1001.2577 · pith_short_12: LNS4D3SPMLUC · pith_short_16: LNS4D3SPMLUCNN5Q · pith_short_8: LNS4D3SP

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/LNS4D3SPMLUCNN5QF32UM7XE7B \
  | 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: 5b65c1ee4f62e826b7b02ef5467ee4f86cc8dd821cca437032a9a85a9ef3281a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae762f2785115e8407efb66fdda56e87646bd8b88318c7f8dc394ea2b0b06aa4",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-14T22:40:32Z",
    "title_canon_sha256": "d42bcd0ccdc22e0abf1463a0ae23d0170ca38b4a42e470a6363e1e9d0a786816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2577",
    "kind": "arxiv",
    "version": 2
  }
}