Pith Number

pith:3NXCGGWE

pith:2007:3NXCGGWEFW4DPTBRMW532URUVN

not attested not anchored not stored refs pending

Induction and computation of Bass Nil Groups for finite groups

Ian Hambleton, Wolfgang Lueck

arxiv:0706.4019 v3 · 2007-06-27 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NXCGGWEFW4DPTBRMW532URUVN}

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	2026-05-18T04:42:02.843991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6e231ac42db837cc3165bbbd5234ab6f5fc82906616029d88bed3275e59a72

Aliases

arxiv: 0706.4019 · arxiv_version: 0706.4019v3 · doi: 10.48550/arxiv.0706.4019 · pith_short_12: 3NXCGGWEFW4D · pith_short_16: 3NXCGGWEFW4DPTBR · pith_short_8: 3NXCGGWE

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/3NXCGGWEFW4DPTBRMW532URUVN \
  | 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: db6e231ac42db837cc3165bbbd5234ab6f5fc82906616029d88bed3275e59a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f778902017d3d1c84a58d59112d52fc0a0fa196f1f35432c6a357e11980f6f7d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2007-06-27T13:18:14Z",
    "title_canon_sha256": "84ee8e367b825ead50fb6119a91eb41a876e63b493a7ecff3a76751795e82175"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4019",
    "kind": "arxiv",
    "version": 3
  }
}