Pith Number

pith:4QNW5CUY

pith:2016:4QNW5CUYGXRX5TNKTYIC3RQO4A

not attested not anchored not stored refs pending

Cohomology of p-groups of nil potency class smaller than p

Antonio D\'iaz Ramos, Jon Gonz\'alez-S\'anchez, Oihana Garaialde Oca\~na

arxiv:1612.06584 v1 · 2016-12-20 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QNW5CUYGXRX5TNKTYIC3RQO4A}

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	2026-05-18T00:54:25.344876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41b6e8a9835e37ecdaa9e102dc60ee03366be76e60223a726d81e05fe4a0ff7

Aliases

arxiv: 1612.06584 · arxiv_version: 1612.06584v1 · doi: 10.48550/arxiv.1612.06584 · pith_short_12: 4QNW5CUYGXRX · pith_short_16: 4QNW5CUYGXRX5TNK · pith_short_8: 4QNW5CUY

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/4QNW5CUYGXRX5TNKTYIC3RQO4A \
  | 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: e41b6e8a9835e37ecdaa9e102dc60ee03366be76e60223a726d81e05fe4a0ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e8dab19a4d56d6f8b1b4a7cf344a67edb534b31ea3038271e8fa18ff49bdcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-20T10:15:31Z",
    "title_canon_sha256": "6c5d8382d2d847e56c48e0eea93bea9d4b929a607e7a46407f2a333f627bb5e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06584",
    "kind": "arxiv",
    "version": 1
  }
}