Pith Number

pith:DKIQHQLF

pith:2011:DKIQHQLFES7PNK32ENEACPZJ7P

not attested not anchored not stored refs pending

On the structure of Witt-Burnside rings attached to pro-p groups

Lance Edward Miller

arxiv:1103.4644 v2 · 2011-03-23 · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKIQHQLFES7PNK32ENEACPZJ7P}

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	2026-05-18T03:16:38.825304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a9103c16524bef6ab7a2348013f29fbc55fc702015da0ba49689e89fd153586

Aliases

arxiv: 1103.4644 · arxiv_version: 1103.4644v2 · doi: 10.48550/arxiv.1103.4644 · pith_short_12: DKIQHQLFES7P · pith_short_16: DKIQHQLFES7PNK32 · pith_short_8: DKIQHQLF

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/DKIQHQLFES7PNK32ENEACPZJ7P \
  | 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: 1a9103c16524bef6ab7a2348013f29fbc55fc702015da0ba49689e89fd153586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1468da6a80dc6545d1b5692526d0ad700c8ba7fd5b2463c7032c45beee100ef",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-03-23T22:58:36Z",
    "title_canon_sha256": "b691a81b2ebfca7e8456b3284fcc4ee164f5da0ebb44dfc485b50db5a7ab6104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4644",
    "kind": "arxiv",
    "version": 2
  }
}