Pith Number

pith:TAGX756Z

pith:2006:TAGX756ZBR2DNOCOQOAOXDE7V4

not attested not anchored not stored refs pending

Homology and Derived Series of Groups II: Dwyer's Theorem

Shelly Harvey, Tim D. Cochran

arxiv:math/0609484 v3 · 2006-09-18 · math.GT · 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{TAGX756ZBR2DNOCOQOAOXDE7V4}

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	2026-05-18T02:37:59.542675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

980d7ff7d90c7436b84e8380eb8c9faf0d151f76ea23c44353648d274fcea746

Aliases

arxiv: math/0609484 · arxiv_version: math/0609484v3 · doi: 10.48550/arxiv.math/0609484 · pith_short_12: TAGX756ZBR2D · pith_short_16: TAGX756ZBR2DNOCO · pith_short_8: TAGX756Z

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/TAGX756ZBR2DNOCOQOAOXDE7V4 \
  | 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: 980d7ff7d90c7436b84e8380eb8c9faf0d151f76ea23c44353648d274fcea746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e189843376dad01f82ef4d9acc9aa957e7fef3164e6a8e456c3f288c7519f72c",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-09-18T03:33:50Z",
    "title_canon_sha256": "fab66c78842d4755aa67f6249d6466300d608e0eda8d3f97cfdb79fa9baf1e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609484",
    "kind": "arxiv",
    "version": 3
  }
}