Pith Number

pith:WXYD6V6F

pith:2010:WXYD6V6FWCIEZ6QY56JNMXB2J5

not attested not anchored not stored refs pending

Lie algebras and Higher torsion in p-groups

Jonathan Pakianathan, Nicholas Rogers

arxiv:1007.2683 v2 · 2010-07-15 · math.AT · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXYD6V6FWCIEZ6QY56JNMXB2J5}

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	2026-05-18T03:26:39.781935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f03f57c5b0904cfa18ef92d65c3a4f6c2f4773351df5c2766976bd0d18bd33

Aliases

arxiv: 1007.2683 · arxiv_version: 1007.2683v2 · doi: 10.48550/arxiv.1007.2683 · pith_short_12: WXYD6V6FWCIE · pith_short_16: WXYD6V6FWCIEZ6QY · pith_short_8: WXYD6V6F

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/WXYD6V6FWCIEZ6QY56JNMXB2J5 \
  | 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: b5f03f57c5b0904cfa18ef92d65c3a4f6c2f4773351df5c2766976bd0d18bd33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a840c067c9359dacf71f4efbc2ce5db9f14099fc978f30de016337edbf1d523",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-07-15T23:54:07Z",
    "title_canon_sha256": "7f1473cebac45bc2673ee5a222ed8542d5539d78d2d3cfb78a8e460a506b5663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2683",
    "kind": "arxiv",
    "version": 2
  }
}