Pith Number

pith:KQ4NACEI

pith:2004:KQ4NACEIAOPA75MTMPJS4TC5T4

not attested not anchored not stored refs pending

Homology and derived series of groups

Shelly Harvey, Tim Cochran

arxiv:math/0407203 v2 · 2004-07-12 · 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{KQ4NACEIAOPA75MTMPJS4TC5T4}

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	2026-05-18T02:38:00.025527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5438d00888039e0ff59363d32e4c5d9f3d4382242e1c6d1266b721e5b04286f2

Aliases

arxiv: math/0407203 · arxiv_version: math/0407203v2 · doi: 10.48550/arxiv.math/0407203 · pith_short_12: KQ4NACEIAOPA · pith_short_16: KQ4NACEIAOPA75MT · pith_short_8: KQ4NACEI

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/KQ4NACEIAOPA75MTMPJS4TC5T4 \
  | 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: 5438d00888039e0ff59363d32e4c5d9f3d4382242e1c6d1266b721e5b04286f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6bfd1efc4f19d6be6c889ceb9ec519f584fa408247b1c46fd8bdac51078814",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-07-12T18:22:17Z",
    "title_canon_sha256": "aa47674ded78e3af711d780edbfcfa581e6c133dd597dd1c39b9d7978f5fcdb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407203",
    "kind": "arxiv",
    "version": 2
  }
}