Pith Number

pith:EHLKITGM

pith:2011:EHLKITGME4U6DXWBMITXQ6CHDN

not attested not anchored not stored refs pending

A Unique Prime Decomposition Result for Wreath Product Factors

Adam Winchester, James Owen Sizemore

arxiv:1110.3389 v2 · 2011-10-15 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EHLKITGME4U6DXWBMITXQ6CHDN}

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	2026-05-18T01:22:28.873934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21d6a44ccc2729e1dec162277878471b69f831f829c63381290e21e0716ff1c8

Aliases

arxiv: 1110.3389 · arxiv_version: 1110.3389v2 · doi: 10.48550/arxiv.1110.3389 · pith_short_12: EHLKITGME4U6 · pith_short_16: EHLKITGME4U6DXWB · pith_short_8: EHLKITGM

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/EHLKITGME4U6DXWBMITXQ6CHDN \
  | 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: 21d6a44ccc2729e1dec162277878471b69f831f829c63381290e21e0716ff1c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ed7a8b4a001c157b9f553704fa2e55862eec6fd897cd9cddcdf609a84670e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-15T06:17:23Z",
    "title_canon_sha256": "02e43914071a932ca822b9dd3876f3938f5549a21b821dfc635b63c02e97e140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3389",
    "kind": "arxiv",
    "version": 2
  }
}