Pith Number

pith:KNSNYZQJ

pith:2011:KNSNYZQJFM3J6WCXLKONFA2EY4

not attested not anchored not stored refs pending

Cohomological uniqueness, Massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class

Albert Ruiz, Antonio Viruel

arxiv:1105.1143 v2 · 2011-05-05 · 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{KNSNYZQJFM3J6WCXLKONFA2EY4}

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	2026-05-18T00:18:36.592396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5364dc66092b369f58575a9cd28344c7371ce7a9ace89477dd1acc0c0c1643b2

Aliases

arxiv: 1105.1143 · arxiv_version: 1105.1143v2 · doi: 10.48550/arxiv.1105.1143 · pith_short_12: KNSNYZQJFM3J · pith_short_16: KNSNYZQJFM3J6WCX · pith_short_8: KNSNYZQJ

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/KNSNYZQJFM3J6WCXLKONFA2EY4 \
  | 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: 5364dc66092b369f58575a9cd28344c7371ce7a9ace89477dd1acc0c0c1643b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf6b208e0c283fefdbb7f0d0489a6e0fa8b8b99d590ca8a24fa67a72931486d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-05-05T19:00:53Z",
    "title_canon_sha256": "3b5abd8a7324cfc9753967ec566a4471c870cf21f4fd7f839c785cf6a0029d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1143",
    "kind": "arxiv",
    "version": 2
  }
}