Pith Number

pith:PZ2E3BK5

pith:2018:PZ2E3BK5A5EH57EEHLMC5EOQLH

not attested not anchored not stored refs pending

Cohomology of finite p-groups of fixed nilpotency class

Jon Gonz\'alez-S\'anchez, Oihana Garaialde Oca\~na

arxiv:1802.09459 v2 · 2018-02-26 · math.AT · 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{PZ2E3BK5A5EH57EEHLMC5EOQLH}

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	2026-05-17T23:51:34.113425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e744d855d07487efc843ad82e91d059dea3d92431d26f19bdf148f285e36376

Aliases

arxiv: 1802.09459 · arxiv_version: 1802.09459v2 · doi: 10.48550/arxiv.1802.09459 · pith_short_12: PZ2E3BK5A5EH · pith_short_16: PZ2E3BK5A5EH57EE · pith_short_8: PZ2E3BK5

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/PZ2E3BK5A5EH57EEHLMC5EOQLH \
  | 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: 7e744d855d07487efc843ad82e91d059dea3d92431d26f19bdf148f285e36376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214c894a612c47a3590a4cbcf3b9e66952f2deb42344e09cd5479b77554454ff",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-02-26T17:11:11Z",
    "title_canon_sha256": "9d883139b21083e66170d1aa6946161dbde13411c2476204e6629fb01615d79f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09459",
    "kind": "arxiv",
    "version": 2
  }
}